SMITHSONIAN

CONTRIBUTIONS

to

ASTROPHYSICS

Smithsonian Institution

Astrophysical Observatory

Volume 9 [Whole Volume]

Variable Stars

in the Small

Magellanic Cloud

by Cecilia Payne-Gaposchkin

and Sergei Gaposchkin

Washington, D.C.

Smithsonian

Contributions to Astrophysics

VOLUME 9 [Whole Volume]

VARIABLE STARS IN THE

SMALL MAGELLANIC CLOUD

by CECILIA PAYNE-GAPOSCHKIN AND SERGEI GAPOSCHKIN

SMITHSONIAN INSTITUTION

Washington, D.C.

1966
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Contents

Introduction 1

The Cepheid variables 2

Periods and light curves 2

Frequency of periods 3

Frequency of apparent magnitudes 3

The period-luminosity relation 4

Test for constancy of period 5

Stars with constant periods 6

Stars with irregular changes of period 6

Secular changes of period 7

Stars with periods less than one day 7

Relation between period and light curve 8

The W Virginis stars 9

The long-period variables 9

The irregular variables 10

General discussion 10

Acknowledgments 17

References 18

Abstract 20

Figures 21

Tables 130

m

Variable Stars in the

Small Magellanic Cloud

Variable Stars in the Small Magellanic Cloud1

Cecilia Payne-Gaposchkin2 and Sergei Gaposchkin3

Introduction

Sixty years ago Miss Leavitt (1906) noted that

the region of the Small Magellanic Cloud is exceedingly rich in variable stars, and published

a list of coordinates and magnitudes for almost

a thousand. Later studies of the region by

Shapley and his collaborators brought the number of published variables up to 1566. The

present paper contains the results of a systematic study of these stars on the available

Harvard plates. Some proved to be duplicates,

and 46 more variables were added in the course

of the work. Table 1 enumerates the variables

studied.

Table 2 is a list of the published Harvard

variables in the region, and of the newly discovered variables, arranged in order of HV

number. Successive columns give the HV number, the x and y coordinates (seconds of arc on

Miss Leavitt's system), a coded list of references, and a coded summary of results (see end

of table 2). Further notes are given for a few

stars. Underlined entries under "Results" are

taken from the published references.

For HV 809 to 2234 and for HV 11212 to

12184 the first reference is to announcement of

discovery without discussion. The other references cover determinations of periods and magnitudes, but no attempt is made to cover all later

mention of the stars. Most of the variables

1

 This work was carried out under a National Science Foundation Contract NSF-G22496.

' Professor of Astronomy, Harvard College Observatory,

Cambridge, Mass.

* Astronomer, Harvard College Observatory, Cambridge,

Mags.

from HV 12082 on were discovered on plates

made with the 60-inch reflector, and many of

these are too faint, or otherwise unsuitable, for

study on the Bruce plates. Periods could be

derived for about half of these stars, and variability verified for about half of the remainder.

Most of the others are not observed to vary appreciably on the Bruce plates, and should be

studied with larger scale; too few 60-inch plates

are available for effective discussion. The stars

noted as "not measured" are: the four novae,

some stars that lie outside the main body of the

Cloud and therefore outside the field studied, a

few close doubles, and a few that could not be

successfully identified.

The photographic material comprises over

500 plates taken with the 24-inch Bruce refractor between 1898 and 1950, and about 30

plates taken with the ADH Baker-Schmidt

telescope between 1952 and 1962. A few plates

taken with the 8-inch Bache refractor from 1888

onward could be used for the brightest stars.

Comparison stars were chosen in the vicinity

of each variable, and the brightness was estimated in arbitrary steps relative to them. The

comparison stars were selected and the step

values assigned by Sergei Gaposchkin, who also

made a large number of the estimates. The rest

of the estimates were made under his direction.

The periods were determined by C. PayneGaposchkin with the assistance of Barbara

Russey. Previously published periods were examined and (as seen from table 3) many were

slightly corrected, but only a few were found

to be grossly in error. When the period had

been determined, the phases and mean light
SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

curves were determined for all the measures by

means of a program written by E. M. Gaposchkin for the IBM 7094 computer. Means were

formed for each set of ten successive phases.

The brightness, which up to this point had been

expressed in steps, was then converted into magnitudes. The magnitudes were based on the

standards used by Arp (1958a, 1958b, 1959a,

1959b, 1960a) in his study of the Small Cloud.

Table 3 summarizes the results. Successive

columns give the HV number, the x and y coordinates, the previously published period (if

any), the period found from the present material, Julian Day of normal maximum, observed maximum (M), minimum (m), and integrated mean magnitudes (m), range (.4),

mean magnitude reduced to mean intensity

(<m>), and the number of positive observations. The number of estimates used was 557,-

624 but about 750,000 were made, since "notvisible" observations do not enter the means,

and observations for stars for which no results

were obtained are not tabulated.

A preliminary study of the period-luminosity

relation for the Cepheids showed that all stars

in some regions (notably at the ends of the main

axis) are systematically faint. Whether the

effect is a result of absorption within the Cloud

or of background effect on the estimates, it must

be eliminated in a study of the true dispersion

of the period-luminosity relation.

In order to estimate the systematic effect, the

field was divided into areas of 10' X10'. The

slope of 2.25 log P derived by Arp (1960a) for

the B period-luminosity curve was adopted, and

the quantity <m> +2.25 log P was computed

for each Cepheid. The mean values of this

quantity within the areas were then used to derive a grid of corrections to the magnitudes.

The resulting corrections are given in the last

column of table 4.

Background effects may play a part in the

magnitude deviations thus derived, but absorption within the Small Cloud is probably the

major factor. The deviations are negligible in

the peripheral regions, and are greatest at the

southern end of the axis, and again in a much

smaller area at the northern end. They are not

largest only in the areas of greatest star density, and indeed suggest that a region of apparently low star density on the southern side

of the main axis is actually produced by absorption. If the deviations are the result of

local absorption, the corrections here derived

will reduce the systematic errors, but considerable accidental errors will occur in regions

where the correction is large, and will increase

the apparent dispersion of the period-luminosity relation. We shall return to the question

in the general discussion.

Shapley and Nail (1955, p. 835) noted a similar effect and stated that "on the average, the

median magnitudes of the ten long-period Cepheids in the wing lie above the mean periodmagnitude curve for the Small Cloud . . ., the

median magnitudes of the similar variables in

the Cloud's nucleus lies below the curve. Perhaps we have here an indication of more than

average dust in the main body of the Cloud.

. . . But .. . a 'background' effect may contribute uncertainty to the photometry."

The Cepheid variables

PERIODS AND LIGHT CURVES.—Results for the

Cepheid variables, arranged in order of period,

are summarized in table 4. Successive columns

give the HV number, the adopted period in

days, its logarithm, maximal magnitude corrected for absorption (Mo), minimal magnitude

corrected for absorption (m<>), amplitude in

magnitudes (A), integrated mean magnitude

at mean intensity corrected for absorption

(<ra>o),a?oin magnitudes, interval from minimum to maximum in terms of period (M-m),

the skewness(s), Ax and At in magnitudes, and

the adopted correction for absorption (dm),

(except for foreground stars). The parameters

used for describing the light curve are illustrated in figure 2: Ax and A2 are the amplitudes

of the two schematic triangles into which the

light curves have been divided; x0 is the integrated mean magnitude at mean intensity of

the triangle whose amplitude is At, corrected

for absorption; and s is the skewness as defined

in the caption to figure 2. We note that the

quantities (M-m) and s are independent of

amplitude; Ax and A2 depend on both amplitude and skewness. The tabulated values of

period are those that were used in computing

the mean light curves; most of them are given

to six figures, but only for the shortest periods
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD

are they significant to six figures. The actual

precision of the periods is discussed in connection with table 10.

The mean light curves of the intrinsic periodic variables, arranged in order of period,

are shown in figure 7. The magnitudes are

those of table 3, unconnected for absorption.

Intrinsic variables with periods less than a day

are included in table 4 and in the figures, although many, as discussed below, are foreground stars. The curves that are drawn were

the basis of the parameters given in table 4.

The error of a plotted point is about iO^OS,

and is largest at the faintest magnitudes.

Humps in the light curves were drawn with

special attention to the uncertainties of the

plotted points.

FREQUENCY OF PERIODS.—The frequencies of period and of logarithm of period for 1144 Cepheids and 11 stars with periods less than a day

are shown in tables 5 and 6, and the data of table

6 are displayed in figure 1.

The well-known preponderance of short periods is enhanced by the results of our work,

which has almost doubled the number of known

Cepheids in the Small Cloud. More Cepheids

are in fact now known in that system than in

any other galaxy, including our own.

The general features of the distribution—the

high proportion of short periods and the pronounced double maximum—are probably representative of the Cepheid population of the

Small Cloud. Two systematic effects, however,

may be present: (1) the shortest periods may

be under-represented, and (2) there may be discrimination against certain periods. No period

was found for 125 stars that were observed to

vary (see table 1); most of them are faint and

vary rapidly. If these stars include the same

proportion of Cepheids as the material in table

3, about 114 should be Cepheids. They would

probably increase the number of very short periods, and many are likely to belong to the

small-range group with (M-m) >0.3. Secondly, periods very near to an integral number

of days are difficult to establish, and Cepheids

or eclipsing stars with periods near a day (or

half a day) may well have been missed. Possibly the deficiency of four-day periods may be

a similar spurious effect. The first of these

systematic tendencies has probably raised the

median period slightly above its true value.

The deviations from the period-luminosity relations for the shortest periods (see below) lead

to a similar conclusion; namely, the faintest

Cepheids are probably under-represented in our

results, and these also tend to be the Cepheids

of shortest period.

The observed median periods for Cepheids

with (M-m) less than and greater than 0.3 are

3.1 and 1.8 days, respectively; median values of

log P for the same two groups are 0.49 and 0.26.

More than half the Cepheids have periods less

than three days, in sharp contrast to the galactic

sample, as discussed later.

The increased prominence of short periods

shown by our results is illustrated by a comparison with the data, based on 670 Cepheids in

the Small Cloud, and tabulated by Shapley and

Nail (1955). The percentages given by Shapley and Nail have baen converted to numbers of

stars, and allowances made for six stars not

covered by our measures (numbers indicated by

asterisks have been diminished by 1, 2, and 3,

respectively). We have excluded the 11 stars

with periods under a day, since Shapley and

Nail tabulated no such stars.

We have more than doubled the known Cepheids with periods under two days; the proportional increase becomes small for the longest

periods. Some Cepheids of short period probably remain to be discovered, whereas the lists

are more nearly complete for periods over ten

days. Of the variables discovered during the

present study, over 30 percent have periods

under two days, even greater than the 28 percent in table 7, again suggesting that further

discoveries will enhance the contribution of

shorter periods.

FREQUENCY OF APPARENT MAGNITUDES.—The

frequency of <m> 0 is given in table 8 for

1151 Cepheids (mean magnitude could not be

determined for the other four stars). The

greatest number are in the magnitude interval

16.4 to 17.2. The decline for fainter magnitudes is real, but would probably be less abrupt

if the material for short periods were more complete. Like the period frequency, the magnitude frequency has a double maximum. Our

solution for the period-luminosity relation with
SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

the corresponding material would lead to magnitudes 17.15 and 16.62 for the two maxima in

the frequency of log P (table 6). Table 8

shows maxima near these magnitudes, which

suggests that the double feature is real in both

cases.

THE PERIOD-LUMINOSITY RELATION.—Figure 6

shows the relation of logarithm of period to

<m>0 and x0. Stars with (M-m) greater than

0.3 are shown by circles. The choice of stars

with periods less than a day in these diagrams

is discussed below.

Least-squares solutions for the period-luminosity relation are summarized in table 9. Only

stars with periods over a day were included in

the solutions, and the three W Virginis stars

were omitted.

Solution 1 represents all the material, except

for a few stars whose periods were determined

after it had been made; these stars would not

change the results appreciably. It is the most

general solution. However, we know that the

group of Cepheids with "symmetrical" or

"sinusoidal" light curves are systematically

brighter than the rest, as discussed by PayneGaposchkin and Gaposchkin (1964). These

stars are confined to the shorter periods, and

their effect is to raise the zero point and decrease the slope. Again, we consider that the

data on the fainter Cepheids are incomplete.

If there are more undiscovered faint Cepheids

at shorter rather than at longer periods, the

effect will again be to raise the zero point and

decrease the slope.

Solution 2 omits the stars with (M-m) greater

than 0.3. Unless the effect of the systematic

omission of faint Cepheids is large, this is probably the most representative solution for the

stars of the Small Cloud. Solution 3 represents the stars with (M-m) >0.3 that were

omitted from solution 2. The zero point is

brighter by 0^51 in <m>0, by 0M8 in x0. The

difference in slope between solutions 2 and 3

may not be significant.

Figure 6 provides graphical evidence that the

period-luminosity relation is not linear, and this

effect is not produced by the group of stars with

symmetrical light curves. In order to illustrate

the departure from linearity, solutions 4 to 7 on

table 9 were carried out for different ranges of

period. Stars with values of (M-m) >0.3 were

not included in these solutions. Solution 4, for

periods less than eight days, shows a brighter

zero point and a smaller slope than solution 1

(all the material) or solution 2 (all the material except that for "symmetrical" light curves).

It is perhaps affected by incompleteness for

faint stars of short period. Solution 5, which

excludes periods less than three and greater

than eight days, gives a fainter zero point and

a greater slope than solution 4.

Solutions 6 and 7, which represent stars with

periods longer than 8 and 16 days, respectively,

show progressively fainter zero points and progressively greater slopes. Comparison of solutions 4, 5, 6, and 7 suggests that the zero point

is fainter and the slope greater, when the period

is longer. The implications of these differences

will be discussed later.

Solution 8 represents all stars with amplitudes greater than 1 TM25; its results are close to

those for solution 2.

Arp (1960a) has determined period-luminosity curves that are strictly comparable to ours,

since they are referred to the same photographic

standards:

Solution

Arp (69 stars)

Solution 2

«m>0 )

Arp, large A

(24 stars)

Solution 8

«m>0 )

Zero point

17.70±0.10

17.63 ±0.01

17.45±0.10

17.58±0.03

Scale

-2.23±0.10

-2.13±0.02

-2.25±0.10

-2.12±0.04

The larger value for the scale and the fainter

zero point obtained by Arp in each case are to be

understood by the fact that his stars were chosen

to be uniformly distributed in period, whereas

the shorter periods preponderate in our material

and dominate our solutions. Actually our solution 6 is the closest to that obtained by Arp. The

value ±0.10 given by Arp are "estimated uncertainties/' whereas we have tabulated the probable errors derived from our least-squares

solutions.

The distribution of the residuals for the leastsquares solutions can now be used to examine the

dispersion of the period-luminosity relation.

Table 10 assembles the data for solution 2

(<m>0 and x0), solution 5 (<m>0), and solu-
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD

tion 8 (<m > o). Columns 2 through 5 give the

number of residuals in intervals of a tenth of a

magnitude expressed as percentages for comparison. The last four columns give the numbers of residuals algebraically greater than

values with increments of a tenth of a magnitude, again reduced to percentages for

comparison.

The distribution of all four sets of residuals

is approximately Gaussian. The semi-interquartile ranges for all four sets are =0 "22, and

they do not differ sensibly; we may therefore

regard this value as representative for the dispersion of the magnitude residuals from the

period-luminosity curve.

Possible contributors to the dispersion are (1)

intrinsic spread of magnitude at a given

period; (2) accidental error of magnitudes; (3)

dispersion of absorption in the line of sight (we

assume that our corrections for absorption have

removed systematic effects due to this cause);

(4) effect of undetected companions (probably

minor); and (5) erroneous periods (probably

not numerous). Of these contributors, no. (2)

may be expected to show a Gaussian distribution. No. (4) would have a systematic effect,

which, if large, would produce a skew distribution winch is not observed; the fact that the

residuals from solution 8 (large amplitudes),

which can scarcely be affected by unseen companions, show a similar distribution to the others

indicates that this factor is not important. No.

(3) is the most serious obstacle to deriving the

true dispersion, for there is no reason to expect

it to have a Gaussian distribution, and if our

average absorption corrections are of the right

order, it may produce some very large residuals.

There is no reason to expect that no. (1), the

intrinsic spread of magnitude at a given period

will be Gaussian, or indeed to predict any form

for it. The only statement that can be made at

the present stage is that the observed frequency

of the residuals is not compatible with a uniformly filled square distribution. We shall

return to this question in the section devoted to

discussion.

TEST FOR CONSTANCY OF PERIOD.—The material

for many stars extends over more than 60 years,

and provides a long baseline for the study of

possible changes of period. Arp (1960a) has

suggested, from a comparison between periods

derived by him for 69 stars and the periods previously published for these stars at Harvard,

that appreciable secular changes can be detected.

An investigation of possible changes of period

was therefore undertaken.

Times of maximum were discussed for each

star chosen; the average interval between first

and last maximum was 16,000 days, and about 25

maxima were used for each star. Phases of

these maxima were calculated with the period

that had been derived, and were expressed in the

form:

(p = Decimal part of (Observed J.D.-

2,400,000) /P,

where y is the phase of maximum and P the

period in days. If the adopted period is correct, <p will show no progression with time; if

the period is too short, <p will increase steadily,

and if the period is too long, it will decrease.

If the period is undergoing secular change, a

plot of <p against time will be a parabola, concave upward if the period is shortening, downward if it is lengthening. Accordingly, two

least-squares solutions were made for the slope

of the line defined by ^ as a function of time.

The first was of the form:

<p=Ext + constant,

where <p is the phase as defined above and E is

the number of elapsed periods counted from an

arbitrary zero. If »i is significant, the period

requires correction. The second solution was of

the form:

<P=Ex2 + E2y+ constant,

which fits the points to a parabola. If y is significant, there is a secular change in the period.

The solution was programmed for the IBM

1620 computer by Barbara Russey and William

Russey. All the stars contained in Arp's paper

were included, and also most of those with

periods over 20 days. The results are summarized in table 11. The probable errors are

entered under all the values in the table, except

those for Arp's periods, which are his "estimated

errors.

Table 11 contains data for 86 stars. The

periods of 38 of them agree with those derived

by Arp within his estimated error, and there is

no evidence of change of period; these will not
6 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

be discussed further. For 21 stars the difference

between our period and Arp's is greater than

his estimated error. We show below that 20

of these stars have sensibly constant periods,

and one shows secular change. For 24 stars not

on Arp's list the periods are found to be sensibly constant, Three stars in the table (HV 817,

1967, and 837) have irregular variations of

period; below we add the data for the similar

star HV 1553. Three stars (HV 1695, 834, and

829) show secular changes of period, two increasing and one decreasing.

Stars with constant periods.—Arp (1960a,

p. 443) considered that "about 30% of the

Cepheids [with log P less than about 1.2] show

period changes which are large compared to

their errors of determination. . . . Most of the

significant period changes are negative." He

concluded that a star has a changing period if

the period derived by him from his observations

(covering two observing seasons) differed from

the previously published Harvard period by

more than his own estimated uncertainty. The

evidence for changing periods of these stars will

now be examined in detail. We note that our

improved periods have removed the discrepancy for HV 1981, 1898, 1793, 1966, 1934, and

1903, but that our periods for HV 2046, 2000,

1994, 11193, and 847 now differ from Arp's by

more than his estimated uncertainty.

The tabulations that follow (tables 12

through 31) give the observed times of maximum (single observations) for each of 20 stars;

HV 1695 was found to display a secular change

of period (see below). Succeeding columns

give the number of epochs elapsed since the first

normal maximum, so adjusted that the sum of

the residuals is zero and that the epoch number

for this maximum is zero. The first such

column is calculated with our adopted period.

If table 11 indicated a sensible correction to this

period, a second column gives the same quantity calculated with a corrected period P'. The

last column gives the number of periods elapsed

since the first normal maximum, calculated with

Arp's period. If the period used is correct and

constant, the number of elapsed epochs should

be sensibly integral.

The tabulations show that the epoch counts

for P and P* are sensibly integral, and that P'

(when used) gives a slightly better representation of the maxima. The elapsed epochs calculated with Arp's period are in no case uniformly

integral.

The last entries for each star are the maxima taken from Arp's paper (marked with asterisks). These maxima were not used by us in

deriving the periods of the stars, and the fact

that in every case they too lead to sensibly integral epoch counts shows that our period represents these later maxima as well as those used

in deriving it. There is no question of an abrupt

change of period between the Harvard observations and Arp's. For HV 848 it is probable that

Arp made no observations exactly at maximum,

as may be seen by comparing our light curve

with his. We therefore conclude that the existing data furnish no evidence for sensible

changes in the periods of these 20 stars. The

other 38 stars, which show no sensible difference

between the derived periods, give similar data

which we need not reproduce.

Arp determined his periods over a short time

interval, and it would not be expected that they

would represent the maxima accurately over a

much longer interval. His estimated errors permit us to calculate the limits within which his

periods would be valid. The possible difference

in epoch count is equal to the product of the

number of epochs and the estimated error, divided by the period. The comparison with observation is given in table 32. Successive

columns give the name of the star, Arp's period,

his estimated error, the number of epochs covered by the observations, the difference between

the epoch counts with our period and his, and

the limiting difference as defined above. We

conclude that Arp overestimated the accuracy

of his periods, on the average, by a factor of

about 2.2.

/Stars with, irregular changes of period.—

When the observations could not be represented

by a constant period (as judged both by the results in table 11 and by graphical methods),

they were combined to obtain normal maxima

for intervals of about a thousand days. Tables

33 and 35 give the data for HV 1553 and HV

817, whose periods appear to change abruptly,

remaining constant before and after the change.

Successive columns give the normal maximum,
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOU1>

the epoch count referred to the first date, and

the residuals (O-C) calculated with the periods

at the heads of the columns. The first period

given is an adopted average. The other periods are those found to represent the maxima

over a certain range of epochs; the corresponding residuals are underlined. Two periods are

given for HV 1553, four for HV 817. For HV

1553 the period was sensibly constant for nearly

900 epochs; for HV 817 the interval is nearer

to 200 epochs.

The behavior of these stars recalls that of

HV 853, in the Large Magellanic Cloud, which

lias been shown by Janes (1964) to change period erratically, swinging back and forth between values that differ by about ten percent,

but the proportional changes are much smaller.

Tables 34 and 36 give the data for HV 837

and HV 1967, whose periods appear to vary erratically. Three trial periods are given to obtain the residuals for HV 837, but none of them

is valid for an appreciable interval; there is a

sharp break between epochs 183 and 265, suggesting a shortened period for a very short time.

For HV 1967 the adopted period is chosen to

give 918 epochs between the first and last

normal maximum. Here again it is not possible to represent any interval satisfactorily by

a constant period. The number of epochs,

counted from the first normal maximum with

Arp's period, is given for comparison. It

would strain the data too far to represent the

maxima in terms of two successive, and different, secular changes of period, both of which

would represent decreases.

Secular changes of 'period.—Three stars

whose maxima suggest secular changes of period are shown in tables 37 to 39. The one common to our investigation and Arp's is HV 1695,

for which he gave a period of 14*50±.05. The

average period for the last tabulated interval is

14^5914, outside the limits of Arp's estimated

error; the period is decreasing, as he thought it

was. The period of HV 834 is increasing, that

of H V 829 decreasing. We note that the values

of the parabolic terms for these stars are not

the same as those given in table 11. The stars

that seemed to have appreciable parabolic terms

were chosen for intensified study; additional

maxima were obtained for early dates, and

normal maxima were derived, instead of the

individual observations at maximum used to derive the results of table 11.

The distribution of changing periods among

the stars investigated is as follows:

stars irregular secular

log P studied change change

<1.0 42 0 0

20 2 1

21 2 0

>1.8<2.2 5 0 2

>2.2 1 0 0

It is difficult to discern a pattern in these results. Observable changes are evidently confined to the longer periods, although equally

large proportional changes would be more easily detected for stars of shorter period, since

the change in phase of maximum is proportional to the square of the number of elapsed

epochs.

In the section devoted to discussion we conclude that the duration of the Cepheid stage is

of the order of 108 years (3.6 X106 epochs) for

stars with period 100 days. It seems outside

the bounds of possibility that the deduced

secular changes of period could persist for this

interval.

The sporadic occurrence of sensible changes

of period among the stars investigated suggests

that changes of period may be an evanescent

phenomenon, may operate in either direction,

and perhaps become progressively more probable the longer the period.

STARS WITH PERIODS LESS THAN ONE DAY.—Table

3 includes 42 stars with periods under a day.

Some of these are certainly RR Lyrae stars of

the foreground, but some may be Cloud members. In particular, it seems likely that some

stars with large values of (M-m), nearly symmetrical light curves, and small ranges, belong

to the similar group that has been shown to lie

about half a magnitude above the period-luminosity curve defined by the rest of the Cepheids.

On the basis of solutions 2 and 3 of table 9 we

select the stars whose magnitudes show small

deviations from the corresponding periodluminosity relation. On this basis the 11 stars

of table 40 may be members of the Small Cloud.
8 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

Dartayet and Dessy (1952) published a list

of faint variables in the Small Cloud, of which

three had periods less than a day, and expressed

the opinion that these stars are true members of

the system. In a later publication, Dessy

(1959) tabulates 11 such stars, two Harvard

variables and nine new discoveries. Most of

these stars are too faint for effective study on

our plates, but they were examined on some of

the best plates for comparison with the Cordoba

results. The data are given in table 41, which

includes four Cordoba variables of longer

period.

The five stars CV 240, CV 270, CV 216, CV

152, and CV 233 are definitely members of the

group of Cepheids with periods under a day;

we may include CV 101 and CV 206 which,

while variable, could not be analyzed by us because of close companions. We are unable to

verify the periods published by Dartayet and

Dessy (1952) for CV 277, HV 11174, HV 12089,

and CV 106; periods greater than a day are

given for HV 11174 and HV 12089 in tables

3 and 4. Shapley (1953) stated that he had

not verified the periods given by the Cordoba

workers for CV 106, CV 233, and CV 270; we

have, however, verified the two latter. The

periods for all the stars with periods over a day

were verified.

When considered in the same way as the group

of stars in table 40, six of the short-period Cepheids may be regarded as members of the Cloud;

the seventh (CV 152) would, on this criterion,

be a foreground star.

Thirty-one stars in table 4 and one in table

41 are to be considered as foreground RR

Lyrae stars. The two variables HV 810 and

HV 814 are known to be associated with the

globular cluster 47 Tucanae; HV 809, of similar brightness but further from the cluster, may

also be associated with it. Variable no. 12 of

NGC 362 is a known member of that cluster.

There remain 28 possible field RR Lyrae stars.

Their distribution in apparent magnitude

(<m> , since absorption should not affect foreground stars) is as follows: [15m

 ]16m, 5; [16m

117", 19; [I7m,4.

The area covered by our plates is about 43

square degrees; the galactic latitude is about

45°. A rough comparison may be made with

the diagram given by Kinman and Wirtanen

(1963) for the logarithm of the number of RR

Lyrae stars per unit magnitude in 80 square

degrees, reduced to the galactic pole. Our

numbers correspond to 52 stars brighter than

magnitude 15 in 80 square degrees; Kinman

and Wirtanen's diagram implies about 35 RR

Lyrae stars brighter than magnitude 17 toward

the galactic pole. The numbers are not incompatible. Seventeen of the variables of table 3

have asymmetric light curves; ten have symmetrical light curves; some of the latter may

belong to the disk population.

The tentative separation of members and

nonmembers must be examined by a comparison

of colors, proper motions, and, if available, radial velocities. The distribution of the stars

of table 11 and the relevant stars of table 12

over the face of the Small Cloud conforms

closely to that of stars with periods between one

and two days. Some of the brighter stars with

periods less than a day also fall within the obvious limits of the Cloud surface, although

many are outside them.

RELATION BETWEEN PERIOD AND LIGHT CURVE.—

The relation between form of light curve and

period has been discussed elsewhere by PayneGaposchkin and Gaposchkin (1964), and we

confine ourselves to a summary.

Hertzsprung (1926) pointed out that galactic

Cepheids display a progression of form of light

curve with period. We find a similar progression among the Cepheids of the Small

Cloud.

The parameters used to describe the light

curve have already been defined (fig. 2). The

symmetrical light curves of small range are

separated from the rest on the basis of the bimodal distribution of (M-m). Stars with

(M-m) greater than 0.30 are assigned to the

former group; the zero point of their periodluminosity relation is brighter by about half a

magnitude than that for the remainder of the

stars (table 9).

In the paper just cited it is shown that the

parameters A, (M-m), s, At, A21 the rate of

brightening (magnitudes per day), and Arp's

"rate of rise" (phase interval for a rise of one

magnitude) change systematically with period.

The changes are reflected in progressive changes
WHOLE VOLUME VARIABLE STABS IN SMALL MAGELLANIC CLOUD 9

in the form of the light curve, similar to

those described by Hertzsprung for galactic

Cepheids.

The parameters of the light curve are also related to deviations from the mean period-luminosity curve. For periods less than ten days,

the faintest stars of given period have the smallest amplitudes, as already noted by Arp

(1960a). For stars with log P less than 0.6,

skewness and (M-m) are not sensibly related to

luminosity at a given period. For log P between 0.6 and 0.9, the least luminous stars of

given period have the smallest skewness and the

largest (M-m). Therefore, the lines of constant

skewness (which define light curves of similar

shape) make an angle with the average periodluminosity curve (fig. 3). Thus the least luminous stars of given period have light curves

that resemble those of more luminous stars of

shorter period. Attention has already been

called by Payne-Gaposchkin (1959,1961) to the

slant of the domains of similar light curves in

the period-luminosity plane.

T HE W VIRGINIS STARS.—Three stars in table 4

are marked as W Virginis stars. They fall far

below the period-luminosity relation, their light

curves are characteristic of the class, and they

show unusually great scatter of the magnitudes

about the mean curve. Data are summarized in

table 42. The column headed dm gives the deviation from solution 7 for the period-luminosity curve. The mean of the three values

places the stars 2?01 from the curve for the

other Cepheids. We note that Baade and

Swope (1963) find that four "population II "

variables in Messier 31 fall photographically

2.00 magnitudes below the period-luminosity

relation.

The period of ld166 quoted for HV 12901 in

table 3 was an unpublished Harvard estimate.

No period has previously been published for

HV 1828. Although HV 206 is very close to

the globular cluster NGC 362, it is regarded by

Sawyer (1955) as probably a member of the

Small Cloud, together with the nearby HV 212

and HV 214. Sawyer (1931, p. 6) noted "it is

impossible to tell on the basis of the infrequent

early observations [of HV 206] whether the

period is changing or whether it actually has

more irregularities than the later series show."

This remark, and the form of the light curve,

are in harmony with the behavior of a "population II " variable.

The star discussed by Tifft (1963) as a population II variable near NGC 121 in the halo of

the Small Cloud has a period of 1.430 days;

Tifft places its <B > magnitude 1?2 below the

period-luminosity curve; the deviation from the

line defined by our solution 2 (table 9) is +1?1.

It certainly lies outside the domain of the normal Cepheids.

The long-period variables

Table 43 gives data for 24 long-period variables,

of which 23 are probably members of the Cloud.

In the foreground is HV 833 (and also HV 860

and HV 864, outside our field and not measured). Eleven (marked with asterisks) were

listed as long-period variables and members of

the Cloud by Shapley and Nail (1951b); five

(marked with two asterisks) were described by

them as irregular or semiregular. The stars HV

1644, HV 1963, and HV 11401, though listed

here with the long-period variables, are less regular in behavior than the rest, and should perhaps be put with the semiregular variables of

the next section.

The median period is over 400 days, and there

is a marked relation between period and brightness. For a period of 700 days the maximal

magnitude is nearly as bright as 13, and at under 300 days it falls almost to magnitude 17.

The progression of brightness with period is

borne out by three variables (not studied by us)

discovered and measured by Dartayet and

Dessy (1952). Maximal magnitudes for CV

7, CV 12, and CV 37 (periods 279,200:, and 245

days, respectively) are given as 17.5, 17.5, and

17.1 on the "revised" Harvard scale; on the

scale used by us they would be at least half a

magnitude fainter. Three stars, all with

periods under 300 days, are thus much fainter

at maximum than the 17th magnitude.

Galactic long-period variables are not known

to display a period-luminosity relation; the

faintest long-period variables in the Small

Cloud seem to be comparable to the brightest

galactic specimens.
10

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

The Irregular Variables

Table 44 gives the data for 61 irregular variables, of which 21 (marked with asterisks) were

designated as irregular or semiregular by Shapley and Nail (1951b). All are probably members of the Small Cloud. The distribution of

apparent magnitude at maximum is as follows:

[12 ]13, 4; [13 ]14, 9; [14 ]15, 14; [15, 14;

[15 ]16, 12; [16 ]17, 21; [17, 1.

General Discussion

The period-luminosity curve was first established by studies of the Magellanic Clouds, and

the Small Cloud still remains the major source

of data for this important relationship. There

is a growing conviction that real differences of

slope occur in different systems. We have expressed the belief that the relationship in the

Small Cloud is not linear. It is clearly important to examine the assumptions that

underlie the specification of a period-luminosity

relation, and to define such a relation without

ambiguity.

If differences of slope exist, it is meaningless

to express the zero point as the magnitude at

which an extrapolated linear relation reaches

zero in log P, corresponding to a period of 1.00

day. No known stellar system contains many

Cepheids at this period, and their scarcity in

our own galaxy is notorious. To specifiy the relation it would be better to define the zero point

by the magnitude attained by log P in the

middle of the range of periods used—perhaps

at the median value. The period-luminosity

law would then have the form:

m=m0 - x log (P/Pmed).

The same procedure could be used when, as in

table 10, the relation is found to differ over different ranges of period.

Theoretical or semitheoretical period-luminosity curves as given, for example, by Cox and

Whitney (1958) and by Cox (1959) suggest

that both zero point and slope can be expected

to differ for stars that differ in composition.

On the other hand, stars of different ages may

very well differ considerably in composition,

especially in systems where star production has

been active or intermittent. There is no reason

to assume that all systems have been alike in

history.

The periods of the Cepheids in the Small

Cloud range from about a day to over 200 days,

and their brightneas from fainter than the 17th

to brighter than the 12th magnitude. The

bright Cepheids of longest period must l)e very

young compared to the faintest, even though

the mass-luminosity relation may differ with

possible differences of composition. Cepheids

of the same age can occupy only a very limited

section of the period-luminosity curve.

If the stellar system in which they (xvur has

been an "active" one, so that the youngest stars

have undergone appreciable enrichment by

heavy elements, the Cepheids of longest period

will differ physically from the older, fainter

Cepheids. The sections of the |>eriod-luminosity curve that the two groups of stars define will

not necessarily be comparable. If there are

local differencas of composition, even Cepheids

of the same period may not be physically identical, though they may be coeval. It would not

therefore be surprising if systems that have evidently had different histories (e.g., Messier 31,

the Large Cloud, the Small Cloud, and IC 1613)

displayed period-luminosity curves that differed in zero point, slope, dispersion, and linearity. In fact, the idea of a period-luminosity

curve must be abandoned.

On the basis of the known Cepheids in galactic clusters, an adopted mass-luminosity relation for classical Cepheids, and an age of 75

million years for a five-day Cepheid, Young

(1961) has derived the following formula for

the age of a Cepheid, T7, in millions of years:

log 7*= -0.714 log/>+2.57,

where T is the interval since the star first

reached the main sequence. Young considers

that the age may be uncertain by a factor of two

(or log T by ±0.3). On this basis the ages of

the Cepheids of the Small Cloud range from

about 4X108 years to about ten million years.

The method used by Young assumes that the

age of a Cepheid is a constant fraction of the

age of the parent main sequence star, that the

evolutionary tracks do not cross, and that the

change in bolometric magnitude between the

main sequence and the Cepheid region is the

same for all stars (i.e., that the evolutionary
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 11

tracks have the same slope in the bolometric HR

plane).

A very rough test of the first assumption may

be made by comparing the observed distribution

of the luminosities of Cepheids (table 8) with

the counts of stars in the Small Cloud published

by de Vaucouleurs (1955). He estimates that

there are 10,000 stars in the system brighter

than 16m0 (old Harvard scale), and about 500

brighter than 14m3. An approximate reduction to the scale used in the present paper

changes the fainter limit to 16m45; the brighter

limit was verified photoelectrically by de

Vaucouleurs. Our tables show 464 Cepheids

brighter than 16m45 and 22 brighter than

14m3, or 4.6 percent and 4.4 percent, respectively, of the total counts.

From Young's formula and the period-luminosity relation, the Cepheids brighter than

14m3 and 16m45 were formed, respectively, less

than 3.5 X 107 and less than 1.61 X108 years ago.

If all stars spend the same interval as Cepheids,

the observed percentages should be nearly in

the ratio of these times. If, on the other hand,

all stars spend the same fraction of their lives

as Cepheids, the percentages should be nearly

equal, which they are. We conclude that the

data are consistent with the second supposition,

the one adopted by Young. The difference between the two percentages does not exceed the

uncertainty introduced by the approximate correction applied to the scale of magnitudes.

The true value of the percentage must be

somewhat greater than 4.6, since our list of

Cepheids down to 16m45 is certainly not complete. If we estimate that the number should

be increased by ten percent, it would follow

that of the stars brighter than a given magnitude in the Small Cloud about five percent are

Cepheids.

The counts of stars by de Vaucouleurs do not,

however, represent the luminosity function of

the main sequence stars that can become

Cepheids; they include stars of all colors and

stages of evolution. Unless the existing colormagnitude diagrams are freed of foreground

stars, it is difficult to estimate the correction

that should be made to our percentages in order

to obtain a figure for the actual duration of the

Cepheid stage.

797-819 O--66 2

The composite color-magnitude diagram

given by Arp (1961) shows stars brighter than

the 16th magnitude distributed rather uniformly in (B-V) from -0.4 to +1.6. If these

diagrams were taken as representative of the

population of the Cloud as a whole, if the

Cepheid gap has a width in (B-V) of 0^3 as

suggested by Arp (1960a), and if a star

moved uniformly and horizontally in the colorluminosity plane, the correcting factor would

be about 2.0/0.3*«6.7. However, this factor is

certainly too large, even if a star moves uniformly across the plane. Westerlund (1964)

has shown that, at least in the wing, there are

few stars of intermediate color, and while the

true color-magnitude arrays probably differ in

different regions it is likely that when they have

been cleared of foreground stars, as was done

by Woolley (1963) for the Large Cloud, many

stars of intermediate color could be eliminated.

A rough estimate suggests that the correcting

factor should be about three, i.e., that about

half the stars enumerated by de Vaucouleurs

(1955) (after statistical correction for foreground) are still on the main sequence side of

the Cepheid gap.

From the above rough estimate we expect

that the Cepheid stage occupies about 15 percent of the previous lifetime of a star that becomes a Cepheid. The duration thus estimated

ranges from 5.5 X107 years for a period of a

day through 1.1 X107 years at ten days, and

2.1 X106 years at 100 days.

An attempt was made by Jaschek and Ringuelet (1959) to estimate the duration of the

Cepheid stage for galactic Cepheids. By comparing an estimated number of Cepheids in the

Galaxy with an estimated number of parent

main-sequence stars, they arrived, on roughly

similar lines to the preceding, at an estimate

of 2.5 X106 years for the mean life of a Cepheid.

They recognized that the lifetime of a Cepheid

will be dependent on its brightness, but made

no allowance for the factor. From their estimated numbers, the mean life of a Cepheid

= {(No. of Cepheids)/(No. of B stars)}

x (Mean life of a B star)

= {(3X104)/(1.8Xl06)}X(1.5X108)=2.5X106

years. All the data used are estimates and

refer to large groups of stars, and it is difficult
12

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

to find a basis of comparison with our data.

We may perhaps consider that the "mean lifetime" refers to a galactic Cepheid of median

period, i.e., about five days. The duration of

the Cepheid stage for such a star in the Small

Cloud would be 1.8 X107 years, differing by an

order of magnitude from the result of Jaschek

and Ringuelet. The difference is simply the

result of a difference in the ratio of the adopted

number of Cepheids to the adopted number of

parent B stars: 1.7 percent for the Galaxy, 15

percent for the Small Cloud.

In the Small Cloud we are on surer ground;

the deduced ratio may be too large, but it can

scarcely be smaller than five percent, which still

differs sensibly from the number obtained for

the Galaxy. The number of galactic Cepheids

may be greater than 104, as estimated by

Parenago (1953), but it is not likely to be as

great as 105. Both the numbers of Cepheids

and of B stars in the Galaxy certainly differ

with location, and perhaps it is not possible to

choose a significant average figure. There remains the possibility that the lifetime of a Small

Cloud Cepheid is a greater fraction of its age

than that of a galactic Cepheid. In his discussion of the luminosity function of the Small

Cloud, Arp (1961, p. 818) suggests that "it

may .. . be that the evolution of the initial

main sequence is slower and that the evolutionary depletion of the initial main sequence is less

in the Cloud." If this were so, the formula

given by Young (1961) would be inapplicable

to the Cepheids of the Small Cloud, and all the

ages would be multiplied by a factor. However, unless the relative rates of development

from the main sequence and across the Cepheid

gap were also different from one another, the

fraction of its lifetime occupied by a star's

Cepheid stage would not be affected, and the

discrepancy would still remain.

A group of strictly coeval Cepheids would

show some dispersion in period because of the

duration of the Cepheid stage. An idea of this

dispersion can be obtained from the group of

Cepheids in NGC 1866 of the Large Cloud, described by Shapley and Nail (1951a). Excluding the 12-day Cepheid HV 12186, the ratio of

the largest to smallest period is 5.08/2.63 = 1.93;

for stars within 10' of the cluster center it is

3.52/2.50 = 1.41. If we assume that the Cepheids of shortest period in the cluster have just

begun to vary, while those of longest period are

at the end of their careers, and that all are

strictly coeval, we can use Young's formula to

find the duration of the Cepheid stage from the

difference in their ages. For period 5d08 the

interval is 8X107 years, or 52 percent of the

total age; for period 3d52 (stars within 10' of

the center) the corresponding figures are

4 X107 years and 26 percent.

But even within NGC 1866 the stars may not

be strictly coeval. Herbig (1962) has pointed

out the possibility that the members of some

star clusters may have a considerable "spreadin-ages." But with our present data it is difficult to know whether the necessary conditions

exist in NGC 1866. If they do, both percentages obtained above are too large; the second

is probably nearer to the truth, as it applies to

the central region of the cluster.

It should be noted that a group of coeval

Cepheids will not have the same mean periodluminosity relation as a group of Cepheids with

a variety of ages. The brightness probably declines as the star crosses the Cepheid gap as

illustrated, for example, by Arp (1960b).

Therefore the younger, longer-period stars will

at any one time have moved further into the gap

than those that have just begun to vary, and will

therefore be systematically faint. The result

will be to diminish the slope of the periodluminosity curve appreciably for a group of

strictly coeval stars. The extreme range in log

P represented by the stars used above in considering NGC 1866 is about 0.3; over this interval the slope could be reduced by x log

(Pi/Pz) —dm, where x is the slope of the mean

period-luminosity curve, Px and P2 the largest

and smallest periods represented, and dm the

width of the period-luminosity domain in magnitudes. Adopting #=2.13 from table 9, {PJ

P2) = 1.93 for NGC 1866, and dm=0TM62, we

find, for the difference in magnitude over this

period interval, 0m61—0m62=—0°01; the

slope has disappeared, and the period-luminosity curve is horizontal. The overall periodluminosity relation for a system in which star

production has been steady could accordingly differ from that for a system in which star
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 13

production has proceeded in short bursts of

limited duration.

We have concluded that the available data

are not inconsistent with the assumption

that a star spends roughly a constant fraction

of its time as a Cepheid. On this assumption

the ratio of the number of Cepheids of a given

age to that age will give a measure of the past

rate of production of stars that are now

Cepheids. The data are given in table 45;

values of N are deduced from table 8.

The values of N/T suggest that from 5X108

to 3 X 10" years ago the production was small

and roughly uniform, that it began to increase

thereafter, and rose until about 1.6X107 years

ago, since when it has again been roughly uniform and much greater than before. These conclusions are similar to those reached by Arp

(1960b, p. 114) from a study of color-magnitude arrays for Small Cloud clusters: "Initial

star formation in the Small Cloud was very,

very small and . . . recently it has come up to a

very large amount." Arp's "initial star formation" refers, of course, to the genesis of the globular clusters, much earlier than the earliest date

in table 45. None of the stars now investigated

belongs to this early epoch, about 109 years ago,

but the faint globular clusters and the field RE

Lyrae stars studied by Thackeray and Wesselink

(1953) and by Thackeray (1958) attest to it.

The rates of star formation within different

time intervals given in table 45 refer, of course,

to stars that differ in average luminosity, mass,

and probably composition. Unless the timedependence of the luminosity function (or mass

function) and of the composition is known,

these data can at best suggest past trends in star

production.

Wo now explore the relationship of Cepheids

of different periods, and hence different ages, to

other features of the system. Such features are

the bright blue supergiants and the associated

H II regions, the emission-line stars, the globular clusters, the blue or "open" clusters, the H

I regions, and the variable stars of other types.

A list of the brighter stars in the Small Cloud

is given by Feast et al. (1960); their data are

supplemented by Buscombe and Kennedy

(1962). Emission-line stars have been tabulated by Henize (1956) and by Lindsay (1956).

A special table of supergiant stars in the "wing"

region is given by Westerlund et al. (1963).

The distribution of these stars is shown in

figure 4.

Emission nebulosities are included in figure

4 on the basis of the tabulation of Westerlund

and Henize (1963), based on Henize (1956) and

Lindsay (1961). Compare also the list of Nail

et al. (1953) and one outlying nebulosity noted

by Westerlund and Henize (1963). These nebulosities define the regions of gas, which are

clearly concentrated in the main axis and wing

region. The distribution is even more strikingly shown by the direct picture of the H II

regions obtained by Rodgers (1959), the composite photograph reproduced by Johnson

(1961), and the picture obtained by Courtes

(1964) in the region of 6570A with a pass band

of 10A.

Another structural picture can be obtained

from the clusters of the Small Cloud. We make

use of the catalog given by Kron (1956) because

it is the most uniform and permits a separation

of the globular from the "open" clusters. The

latter are shown in figure 4, since they represent

a similar (though not necessarily identical)

population. Three categories of "open" clusters are shown; those with bright blue stars,

designated + + by Kron, those with blue stars,

designated +, and those simply designated as

B (blue). Many of these clusters, in all three

categories, are noted as associated with emission. Figure 4 shows the distribution over the

face of the Cloud of clusters designated as

"globular," or "globular?" by Kron. A few of

the clusters in his catalog were not included in

figure 4 for lack of the relevant data. Most of

these clusters have been tabulated by Shapley

and Wilson (1925), and many of them also by

Lindsay (1958); it is difficult to assign the additional clusters of these three papers to one or

another of the curves in figure 4.

A rather similar structural picture emerges

from the star counts made by de Vaucouleurs

(1955) down to 14m3 and 16m0 photographic

(contemporary Harvard scale, checked photoelectrically above 14m

5). His equidensity con_

tours to the brighter limit resemble the distribution shown in figure 6. Those to the fainter

limit, while still showing the same distribution
14

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

as a central core, tend toward a smoother elliptical distribution at the edges, which is more

nearly like the "elliptical shape" shown in the

infrared photograph reproduced by Johnson

(1961).

These equidensity contours based on counts

of stars may be compared with the results of

photoelectric surface photometry obtained by

Elsasser (1958). His isophotes show the same

inner structure, which is reflected in his equalcolor contours. Especially notable is the similarity of Elsasser's isophotes to the equigradient

contours of de Vaucouleurs (1955); both show

an isolated "bright" area near O^OTM, -74°40'.

A strong similarity with both is displayed by

the isophotes for the 21-cm line given by Hindman (1964), extending even to the isolated area

just mentioned.

These data have a direct bearing on the question of absorption within the Small Cloud.

Shapley (1951, p. 137) regarded the Cloud

as "essentially transparent," although he

stated that "interstellar absorption in the inner

section of the Cloud of two- or three-tenths of a

magnitude is not out of the question." Wesselink (1961a) on the other hand concluded from

galaxy counts that the Small Cloud has a

"normal dust content" and that local absorptions up to more than a magnitude may be present; he further concluded (1961b) that such a

dust content is not incompatible with other evidence, such as the relatively small color excesses

found by Feast et al. (1960). Walker's study

(1963) of the interstellar feature at A. 4430 in

stars of the Small Cloud may be similarly interpreted. Feast (1964) shows that the Radcliffe spectroscopic results give clear indications

of reddening in both Clouds, corresponding to

total absorptions of about one-third of a magnitude, and points out that the interstellar lines

found in the spectra of members of both Clouds

show both galactic and Cloud components.

Kron and Mayall (1960) concluded that some

Cloud objects are locally reddened and

obscured.

The most convincing suggestion that sensible

absorptions must be allowed for comes, however, from Hindman's (1964) 21-cm contours.

By analogy with our own Galaxy we should expect that there would be an association of dust

with hydrogen gas, and that regions of greatest

absorption would be in the same locations as

regions of greatest gas density. A comparison

of our derived absorptions (which were determined empirically before the appearance of

Hindman's paper) with his contours shows a

striking general similarity, our greatest absorption corrections coinciding with the areas of

greatest hydrogen intensity. The immediate

conclusion might be that the deduced absorptions are real, and not a systematic observational effect. However, it is still possible that

the magnitudes are systematically affected in

regions of the highest star density, which (as a

comparison with Blsasser's (1058) isophotes

shows) also agree in a striking fashion with the

21-ein contours. The problem could l>e resolved by determination of accurate color excesses, but we have no material for an attack on

this extremely difficult problem. We therefore

present our absorption corrections as empirical

and provisional, but express the belief that they

are real, at least to a large extent.

The bright B and A stars, the emission-line

stars, the "open" clusters, the bright nebulosities, the star counts, the surface photometry,

and the neutral hydrogen all concur in marking

out a region similar to the "Population I arm"

sketched by Johnson (1961). We may conclude that this limited portion of the Cloud contains most of the potential star-building material at the present time, and has been the scene

of the formation of the youngest members of

the system. The smooth elliptical distribution

seen on all long-exposure photographs, and emphasized in Johnson's infrared photograph,

may be regarded as the volume within which

the older stars of the system were formed; it

also contains the globular clusters, the oldest

observable members of all.

The wing region is of special interest. It

was pointed out by Shapley (1940) that this extension points in the direction of the Large

Cloud. Shapley and Nail (1955) called attention to the fact that many long-period Oepheids

are found in the region, but none of short

period, and suggested that the "wing" may be

a "special entity." The exceptional character

of the wing was emphasized by Westerlund

(1961), who found the region of NGC 456,460,
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 15

and 465 to consist of a population of young blue

stars and IIII regions superimposed on a weak

Population II. This finding was extended by

Westerlund (1963) and by Westerlund et al.

(1963) to include the whole wing, regarded as

having a common evolutionary history; they

assigned an age of less than 107 years on the

basis of eight blue supergiants. A color-magnitude diagram for the region of NGC 602 is

given by Westerlund (1964), who suggests that

the region contains a mass of H = 2X 105O, the

stars a mass of 104O. De Vaucouleurs (1954)

has attributed the wing to the tidal action of the

Ivarge Cloud.

Figure 4 shows the distribution over the face

of the Cloud for Cepheids within 11 intervals

in log P. The intervals of age, derived from

Young's formula, are given in the legend. The

following points should be noted.

1. The distribution for stars of longest period conforms most closely to the distribution

of the bright stars, emission stars, nebulosity,

"open" clusters, and neutral hydrogen.

2. The area covered by the variable stars

grows progressively larger for shorter periods

and finally approaches the elliptical distribution shown in the infrared photograph.

3. The Cepheids with period less than a day

that we consider (on the basis of luminosity)

to be members of the Cloud occupy an area

similar to that for stars with periods between

one and two days. Many of the brighter "nonmembers" lie outside these boundaries.

4. The three W Virginis stars lie within

the elliptical area, but they are not concentrated

as are the normal Cepheids of similar period.

5. The Cepheids in the wing area are all of

period greater than about seven days (corresponding to an age of less than 108

 years) and

most of them have periods greater than 15 days

(age less than 5.5 X107 years). None, however,

has a period over 35 days (corresponding to an

age of 3 X107 years). Thus on the basis of the

Cepheids we deduce an age at least three times

as great as that assigned by Westerlund et al.

(1963) to the wing. This is not far outside the

uncertainty assigned by Young to his formula.

Probably, however, the wing was in process of

formation for an interval of about 5 X107 years,

and the Cepheids are rather older than the blue

supergiants.

Ishida (1961) has called attention to some

of the same tendencies on the basis of the data

previously published at Harvard for the Cepheids then known. Arp (1959b, p. 258) stated

that "the region of star formation has been

displaced nonconcentrically" on the basis of his

studies of clusters of the Small Cloud; our

analysis of the distribution of Cepheids of different periods substantiates his conclusion.

His result, that the ages of star clusters in the

Cloud span a large interval of time, is also in

harmony with our conclusions from the distribution of the Cepheids.

Rodgers (1959, p. 49) described the Small

Cloud as "a highly distorted one-arm spiral

structure," and Johnson (1961) suggested that

the second arm is viewed lengthwise. There is

in fact little evidence of a second arm distinct

from the main axis, but we note that HV 817,

a long-period Cepheid that is both bright and

exceptionally blue, lies in the direction in which

a second arm might be expected, if it were symmetrically situated.

If the Large Cloud has played a part in the

production of the wing, the Small Cloud does

not seem to have had a recognizable reciprocal

effect; no evidence now exists of a similar wing

extending from the Large Cloud in the direction of the Small, though a wing extending

from the Large Cloud toward the Galaxy has

been suggested by de Vaucouleurs (1954). Our

present knowledge (admittedly incomplete)

does not indicate that the period frequency in

the Large Cloud is at all like that in the Small

Cloud. Shapley and McKibben (1940) found

a median period of 4d42 for all known Cepheids in the Large Cloud, as against 3d

75 and

2

d

70 for the body of the Small Cloud and its

"border" regions, respectively. The data given

by Shapley and Nail (1955) lead to median periods of 3d

25 and 4d35 respectively, for the

Small and Large Clouds, and the median period

from our own data for the Small Cloud is less

than three days. The median period for galactic Cepheids brighter than the 10th apparent

magnitude, as deduced by Shapley and McKibben from contemporary material, is over six

days. Although the last figure is obviously
16

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

subject to observational selection, it would be

difficult to reconcile the observed differences,

and we regard them as real, though quantitatively uncertain; the Cepheid population of the

Large Cloud is intermediate between those of

the Small Cloud and the Galaxy.

Reasoning similar to that used for the Small

Cloud would bring us to the conclusion that active star formation, leading to the formation of

the contemporary Cepheids, began more recently in the Large Cloud than in the Small.

We note that Hodge (1959) concluded from his

study of the star clusters in the Large Cloud

that there have been two main epochs of star

formation in that system, one about 109 years

ago, another about 2X10T years ago. The

median period 4d35 given above would corre

spond, on Young's formula, to an age of 1.3 X108

years. The interval 2X107 years would correspond to Cepheids with periods of 60 days;

actually the known periods for the Large Cloud

show a secondary maximum between 20 and 50

days. Speculation about the history of Cepheid

formation in the Large Cloud must clearly

await a more complete study of all the variable

stars in that system, of their distribution across

its face, and of their relationship to its structural features.

We now examine the bearing of our data on

the history of a Cepheid as it passes through

the variability domain. We regard the following as having been established.

1. A relation exists between logarithm of

period and luminosity, not necessarily linear.

2. The period-luminosity relation has an

appreciable dispersion in luminosity at any one

period, and in log P at any one luminosity.

Arp (1960a) obtained standard deviations of

±0m28 and ±(T15 for all 69 stars and for stars

of large amplitude, respectively, at any one

period. We obtain a standard deviation of

±0m31 from solution 2, table 9. When converted into log P by means of the relevant slopes

of the period-luminosity relation, we find standard deviations of ±0.63 and ±0.34 in log P for

Arp's two samples, and ±0.66 from our own.

3. Does a Cepheid develop with constant

period across the gap? This conclusion was

drawn by Arp (1960a) from his studies of clusters in the Small Cloud. We note, however,

that even if the duration of the Cepheid stage

is 15 percent of the total age of the Cepheid,

and if the Cepheid developed during this interval at constant brightness and increased its

period by a factor of four, the corresponding

secular change of period would still be too small

to be detected from existing material, and therefore our failure to establish secular changes of

period neither strengthens nor weakens Arp's

conclusion.

4. The width of the Cepheid gap in (B - V)

is about O^, as deduced by Arp (1960a); the

star develops with increasing (B-V). It should

accordingly grow progressively fainter even in

F, and more so in /?, and hence photographically

(since constant period implies constant size unless there is mass loss, for which we have no

evidence). Thus the stars at the upj>er edge of

the period-luminosity domain should be the

youngest of a given period, those at the lower

edge the oldest, if the period remains constant.

The changing properties of a star between

the upper and lower limits of the period-luminosity domain therefore mirror the changes that

take place as a Cepheid develops. Arp (1960b,

p. 101) has argued that "the Cepheids with the

smaller amplitudes [come] from the edges of

the gap where their luminosity for that period

is either much higher or much lower than for

the same period in the center of the gap." The

data derived by Payne-Gaposchkin and Gaposchkin (1964) from the present material are

in harmony with this statement; the mean

amplitude is somewhat smaller at the upper

edge of the period-luminosity domain than near

the middle of it, and considerably smaller at the

lower edge. Furthermore, the skewness, s,

reaches its highest value near the middle of the

domain, and is smallest at the lower edge.

The skewness of the light curve is presumably

a measure of the extent to which the pulsation is

"driven," and shows how this factor affects the

behavior of the star as it crosses the gap.

We might expect that the rate of progress of

the star across the gap would be indicated by

the frequency distribution of the amplitudes.

Table 46 presents the data for all stars; those

with sinusoidal curves are tabulated separately.

As maximum amplitude varies with period, the

data for a limited range of period (2* to 3d) are
WHOLE VOLUME VARIABLE STABS IN SMALL MAGELLANIC CLOUD 17

added for comparison. We note that the

amplitudes are well determined, since systematic errors in the magnitudes and uncertainties

in the absorption corrections can scarcely affect

them. If anything, the number of small amplitudes would be increased by the presence of

unresolved companions.

Median amplitude for all the stars with

(M-m) <0.3 is about lml, and this is true also

for the sample with periods between two and

three days; for the sinusoidal curves it is about

0

a&. All three distributions are approximately

symmetrical about the median; very large and

very small amplitudes are equally uncommon.

Small amplitudes must be depleted by observational selection, and it is difficult to evaluate

the corrections that should be made to allow for

this effect. From our experience with the material we should have estimated that all stars

with amplitudes over about 0m75 would have an

equal chance of discovery, and this is certainly

true for amplitudes of lm0, where the numbers

have already begun to fall off.

If stars crossed the gap at a uniform rate and

if their amplitudes changed steadily, we should

expect a large excess of small amplitudes, but

it is difficult to p.void the impression that there

is, on the contrary, a deficiency of amplitudes

between lm0 and 0m75. We might conclude

that (contrary to our belief) observational

selection has cut down the numbers of discovered stars with amplitudes less than lm

l.

In that case there would be more undiscovered

Cepheids below this limit than are at present

known. However, we maintain that our data

are correct in showing a maximum frequency at

an intermediate amplitude. In that case the

amplitude does not change steadily as the star

crosses the gap, and/or maximal amplitude is

not the same for all stars (not even for all stars

of the same period).

If the dying away of amplitude is a damping

phenomenon, the amplitude itself, which is a

logarithmic quantity, is the correct measure of

the decay of the pulsation. If on the other

hand we transform the amplitudes into intensity ratios, we encounter the same problem,

though in less exaggerated form. The deficiency of low-intensity ratios might be referred

to incompleteness (it sets in at about /// 0=2.25,

corresponding to an amplitude of about 0TM8).

However, the number of large-intensity ratios

now seems excessive. We should again suspect

that maximal amplitude differs from star to

star.

We note that the median amplitude for the

sinusoidal stars is 0m6, and if selection has already become a serious factor in discovery at

0

m

8, these stars must be extremely numerous;

perhaps as numerous as the "normal" Cepheids.

The discussion in the present paper is limited

to empirical considerations. Comparison with

current theoretical work is postponed to a later

communication.

Acknowledgments

The measurements were made under the supervision of Sergei Gaposchkin, by Alison S.

Brooks, Karena Brooks, Raymond Craig Chester, Judd S. Conway, Amy T. Doherty, Louise

A. Doherty, Elizabeth D. Dole, Jay A. Frogel,

Judith H. Haller, Kristel Fox Heinemann,

Kenneth Janes, Adriane Aldrich Kalnajs, Steven Kilston, Mary C. Kopko, Beatrice Koretsky, Barbara Russey, Ruth Ann Spivak, and

Pamela G. Webb.

The program for the study of period changes

was written by Barbara Russey and William

Russey; that for the least-squares solutions, by

Barbara Russey and Peter Gaposchkin.

The diagrams of the light curves have been

drawn by John and Katherine Haramundanis.

We are greatly indebted to E. M. Gaposchkin, who wrote the program for the reduction

of the observations.

Especial thanks are due to Barbara Russey,

who coordinated the work, supervised the reductions, assisted in the preparation of the

manuscript, and typed the main tables.
18

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

References

AKP, H. C.

1958a. Southern hemisphere photometry, II: Photoelectric measures of bright stars. Astron. Journ., vol. 63, pp. 118-127.

1958b. Southern hemisphere photometry, III: The

color-magnitude diagram of NGC 419 and

the adjoining field in the Small Magellanic Cloud. Astron. Journ., vol. 63, pp.

273-282.

1959a. Southern hemisphere photometry, VI: The

color-magnitude diagram of NGC 458

and the adjoining region of the Small

Magellanic Cloud. Astron. Journ., vol.

64, pp. 175-182.

1959b. Southern hemisphere photometry, VII: The

color-magnitude diagram of NGC 330

and the adjoining region of the Small

Magellanic Cloud. Astron. Journ., vol. 64.

pp. 254-258.

1960a. Southern hemisphere photometry, VIII:

Cepheids in the Small Magellanic Cloud.

Astron. Journ., vol. 65, pp. 404 411.

1960b. Intrinsic variables and stellar evolution.

Symp. on Stellar Evolution, La Plata

Obs-, Argentina, pp. 87-117.

1961. Stellar content of galaxies. Science, vol.

134, pp. 810-819.

BAADE, W., and SWOPE, H. H.

1963. Variable star field 96' south preceding the

nucleus of the Andromeda galaxy. Astron. Journ., vol. 68, pp. 435-470.

BUSCOMBE, W., and KENNEDY, P. M.

1962. Supergiant B stars in the Small Magellanic

Cloud. Journ. Roy. Astron. Soc. Canada,

vol. 56, pp. 113-123.

COTJBTES, G.

1964. Regions H II dans les nuages de Magellan

et les galaxies proches. In The Galaxy

and the Magellanic Clouds, IAU-URSI

Symp., no. 20, Australian Acad. Sci., Canberra, pp. 278-283.

Cox, J. P.

1969. Stellar pulsation, V: A semi theoretical

period-luminosity relation for Cepheids

with radiative envelopes. Astrophys.

Journ., vol. 130, pp. 296-307.

Cox, J. P. and WHITNEY, C.

1958. Stellar pulsation, IV: A semitheoretical

period-luminosity relation for classical

Cepheids. Astrophys. Journ., vol. 127, pp.

561-572.

DABTATET, M. and DESSY, J. L.

1952. Studies of variables in the Magellanic

Clouds, I: Twenty new faint variables

in a region in the Small Cloud. Astrophys. Journ., vol. 115, pp. 279-283.

DESSY, J. L.

1959. Estudios sobre las variables de las nubes de

Magallanes, III: Posici6n y color de

trescientos veinticinco nuevas variables

en la region "a" de la Nube Menor con

un estudio estadistico sobre las mismas.

Bol. del Institute Matematica, Astronomia y Fisica, Univ. Nacional de Cordoba,

Argentina, vol. 1, pp. 1-10.

ELSASSEB, H.

1958. Lichtelektrische Flaehenphotometrie der

Magellanschen Wolken: Die kleine Magellansche Wolke. Z. Astrophys., vol. 45,

pp. 24-34.

FEAST, M. W.

1964. Spectroscopic work in the Magellanic

Clouds: NGC 330 in the SMC. In The

Galaxy and the Magellanic Clouds, IAUURSI Symp., no. 20, Australian Acad.

Sci., Canberra, pp. 330-334.

FEAST, M. W.; THACKERAY, A. D.; and WESSELINK,

A. J.

1960. The brightest stars in the Magellanic

Clouds. Monthly Notices Roy. Astron.

Soc., vol. 121, pp. 337-385.

HENIZE, K. G.

1956. Catalogues of Ha-emission stars and

nebulae in the Magellanic Clouds. Astrophys. Journ. Suppl., vol. 2, no. 22, pp.

315-344.

HEBBIG, G. H.

1962. Spectral classification of faint members of

the Hyades and Pleiades and the dating

problem in galactic clusters. Astrophys.

Journ., vol. 135, pp. 736-747.

HEETZSPBUNO, E.

1926. On the relation between period and form of

the lightcurve of variable stars of the 8

Cephei type. Bull. Astron. Inst Netherlands, vol. 3, pp. 115-120.

HINDMAN, J. V.

1964. Notes on the structure of the SMC as observed in 21-cm line radiation from

neutral hydrogen. In The Galaxy and

the Magellanic Clouds, IAU-URSI

Symp., no. 20, Australian Acad. Sci., Canberra, pp. 255-261.

HODGE, P. W.

1959. Studies of the Large Magellanic Cloud.

Doctoral thesis, Harvard Univ., 137 pp.

I sir IDA, K.

1961. The distribution of interstellar matter and

stars, II: The Small Magellanic Cloud.

Publ. Astron. Soc. Japan, vol. 13, pp. 87-

93.

JANES, K. A.

1964. Period changes of the Cepheid variable

HV 953. Astron. Journ., vol. 69, pp. 131-

132.
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 19

JABCHEK, C. O. R., and RINGUELET, A.

1959. Note on the evolution of the Cepheids. Z.

Astrophys., vol. 48, pp. 22-27.

JOHNSON, H. M.

1961. The structure of the Small Magellanic

Cloud. Publ. Astron. Soc. Pacific, vol.

73, pp. 20-29.

KIN MAN. T. 1)., and WIRTANEN, C. A.

1963. Preliminary results of an RR Lyrae star

survey with the Lick 20-inch astrograph.

Astrophys. Journ., vol. 137, pp. 698-699.

KRON, G. E.

1956. Star clusters in the Small Magellanic

Cloud, I: Identification of 69 clusters.

Publ. Astron. Soc. Pacific, vol. 68, pp.

125-130.

KRON. G. E., and MAYALL, N. U.

1960. Photoelectric photometry of galactic and

extrafialactic star clusters . Astron.

Journ., vol. 65, pp. 581-620.

LEAVITT, H. S.

1906. 1777 variables in the Magellanic Clouds.

Ann. Harvard Coll. Obs., vol. 60,

pp. 87-108.

LINDSAY, E. M.

1956. A catalogue of stellar-like emission objects

in the Small Magellanic Cloud. Monthly

Notices Roy. Astron. Soc., vol. 116, pp.

649-658.

1958. The cluster system of the Small Magellanic

Cloud. Monthly Notices Roy. Astron.

Soc., vol. 118, pp. 172-182.

1961. A new catalogue of emission-line stars and

planetary nebulae in the Small Magellanic Cloud. Astron. Journ., vol. 66, pp.

169-185.

NAIL, V. McK.; WHITNEY, C. A.; and WADE, C. M.

1953. Magellanic Clouds, IX: The nebulosities of

the Small Cloud. Proc. Nat. Acad. Sci.,

vol. 39, pp. 1168-1176.

PARENAGO, P. Pfc

1953. Der Bau der Galaxis. Abh. Sowjet. Astron.

Astrophys., vol. 3, pp. 1-113.

PAYNE-GAPOSCHKIN, C.

1959. Cepheid variables and the period-luminosity relation. Journ. Washington Acad.

Sci., vol. 49, pp. 333-350. Also Harvard

Reprint Series I, no. 536.

1961. On the dispersion in the period luminosity

relation. Vistas in Astron., vol. 4, pp.

184-189.

PAYNE-GAPOBCHKIN, C, and GAPOSCHKIN, S.

1966. Relation of light curve to period for

Cepheids in the Small Magellanic Cloud.

Vistas in Astron. [in press.]

RODGERS, A. W.

1959. The large scale distribution of hydrogen

emission in the Small Magellanic Cloud.

Observatory, vol. 79, pp. 49-51.

SAWYER, H. B.

1931. Periods and light curves of thirty-two variable stars in the globular clusters NGC

362, 6121, and 6397. Circ. Harvard Coll.

Obs., no. 366, 36 pp.

1955. A second catalogue of variable stars in

globular clusters comprising 1,421 entries. Publ. David Dunlap Obs., Univ.

Toronto Press, vol. 2, pp. 35-93.

SHAPLEY, H.

1940. An extension of the Small Magellanic

Cloud. Bull. Harvard ColL Obs., no. 914,

pp. 8-9.

1951. Magellanic Clouds, I: Transparency.

Proc. Nat. Acad. Sci., vol. 37, pp. 133-138.

1953. Magellanic Clouds, VIII: On the population characteristics of the two Clouds.

Proc. Nat. Acad. Sci., vol. 39, pp. 1161-

1168.

SHAPLEY, H., and MCKIBREN, V.

1940. Galactic and extragalactic studies, V: The

period frequency of classical Cepheids in

the Magellanic Clouds. Proc. Nat. Acad.

Sci., vol. 26, pp. 105-115.

SHAPLEY, H., and NAIL, V. McK.

1951a. NGC 1866 and the Magellanic Cloud variables. Astron. Journ., vol. 55, pp. 249-

251.

1951b. Magellanic Clouds, II: Supergiant red

variable stars in the Small Cloud. Proc.

Nat Acad. Sci., vol. 37, pp. 138-145.

1955. Magellanic Clouds, XVII: Seven notes on

the Cepheid variables. Proc. Nat. Acad.

Sci., vol. 41, pp. 829-836.

SHAPLEY, H., and WILSON, H. H.

1925. The Magellanic Clouds, V: The absolute

magnitudes and linear diameters of 108

diffuse nebulae. Circ. Harvard Coll.

Obs., no. 275, 5 pp. Also the Magellanic

Clouds, VI: Positions and descriptions

of 170 nebulae in the Small Cloud.

Circ. Harvard Coll. Obs., no. 276, 4 pp.

THACKERAY, A. D.

1958. Periods and light-curves of variable stars

in NGC 121. Monthly Notices Roy.

Astron. Soc., vol. 118, pp. 117-124.

THACKERAY, A. D. and WESBELINK, A. J.

1953. Distances of the Magellanic Clouds.

Nature, vol. 171, p. 693.

TIFFT, W. G.

1963. Magellanic Cloud investigations, I: The

region of NGC 121. Monthly Notices Roy.

Astron. Soc., vol. 125, pp. 199-260.

VAUCOULEUB8, G. DE

1954. The Magellanic Clouds and the galaxy, II.

Observatory, vol. 74, pp. 158-164.

1955. Studies of Magellanic Clouds, II: Dimensions and structure of the Small Cloud.

Astron. Journ., vol. 60, pp. 219-230.
20 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

WALKER, G. A. H.

1963. Photoelectric measures of the 4430 A diffuse

interstellar band. Monthly Notices Roy.

Astron. Soc., vol. 125, pp. 141-167.

WESSELINK, A. J.

1961a. The dust content of the Small Magellanic

Cloud from counts of nebulae. Monthly

Notices Roy. Astron. Soc., vol. 122, pp.

503-507.

1961b. Absorption and reddening in the Magellanic Clouds. Monthly Notices Roy.

Astron. Soc., vol. 122, pp. 509-512.

WESTERLUND, B. E.

1961. The distribution of stars in an outlying part

of the Small Magellanic Cloud. Ann.

Uppsala Obs., vol. 5, no. 2, 17 pp.

1963. The distribution of stars in the wing of the

Small Magellanic Cloud, the region of

NGC 602. Monthly Notices Roy. Astron.

Soc., vol. 127, pp. 429-448.

1964. The wing of the Small Magellanic Cloud.

In The Galaxy and the Magellanic Clouds,

IAU-URSI Symp., no. 20, Australian

Acad. Sci., Canberra, pp. 342-346.

WESTEBLUND, B. E.; DANZIOEB, I. J., and GRAHAM, J.

1963. Supergiant stars in the wing of the Small

Magellanic Cloud. Observatory, vol. 83,

pp. 74-79.

WESTERLUND, B. E., and HENIZE, K. G.

1963. A small emission nebula in the wing of the

Small Magellanic Cloud. Publ. Astron.

Soc. Pacific, vol. 75, pp. 332-335.

WOOLLEY, R. v. D. R.

1963. Studies in the Magellanic Clouds, VI: Magnitudes and proper motions in variable

field I, LMC. Bull. Roy. Obs., no. 66,

pp. 265-297.

YOUNG, A. T.

1961. Stellar kinematics and spiral arms. Doctoral thesis, Harvard Univ., 98 pp.

Abstract

The variable stars discovered at Harvard in the Small Magellanic Cloud are studied on Harvard plates.

Results have been obtained for about 1300 sttrs. The overwhelming majority (91 percent) are Oepheids.

Cepheid variables—periods range from about a day to over 200 days. The well-known preponderance of

short periods is found to be even greater than previously supposed. Least-squares solutions for the periodluminosity relation show a departure from linearity. Stars with symmetrical light curves of small range show

a relation parallel to that for asymmetric curves, about half a magnitude brighter. The intrinsic dispersion

of the period-luminosity relation is found to be ±0"?3(p.e.). The parameters that describe the light curves

(amplitude, skewness, rate of rise) are related to period, and to deviation from the mean period-luminosity

curve. Detailed study of the periods of 96 Cepheids shows no significant secular change of period for any star

of period less than 12 days. Six stars of greater period have variable periods. A few of the intrinsic variables

with period less than a day in the region of the Cloud are probably members of the system; the remainder are

foreground RR Lyrae stars. The distribution of Cepheids over the face of the Cloud changes with period. Three

W Virginis stars are members of the system.

The distribution of absorption within the Oloud, inferred from systematic departures from the periodluminosity relation, is similar to that of the H I regions observed by radio techniques.

Long-period variables—all but one of the 24 long-period variables are Cloud members. They show a periodluminosity relation. Their distribution is similar to that of Cepheids of period about ten days.

Sixty-two irregular variables are probably all members of the Oloud. Of the 34 eclipsing stars, all but one

are members of the Cloud. They will be discussed by one of us in another publication.

It is inferred that all stars spend about the same fraction of their life as Cepheids. The duration of the

Cepheid stage is estimated. The amplitude frequency leads to the conclusion that the pulsations are "driven"

within the Cepheid gap, and are small outside it. Maximal amplitude is probably not the same for all Cepheids.
WHOLE VOLUME VARIABLE STARS EN SMALL MAGELLANIC CLOUD

r-5 0 .5 LO

21

Z5

FIGURE 1.—Frequency of log P in intervals of 0.05. The

cross-hatched area refers to stars with (M)^03

FIGURE 2.—Parameters of the light curve. The parameters

A, A\, At, and (M-m) are labeled. A, Ai, and Aj are expressed in magnitudes, (M-m) in percentage of the period.

The skewness, /, is the ratio of the triangles wyz/toxy, or

xw/xz. The rate of brightening is AJP(M-m) where P is

the period in days. The rate of rise is (M~m)/A.

<-M-m

5.0

.5 .6

FIGURE 3.—Lines of constant skewness, s, for log P between

0.6 and 0.9. The mean period-luminosity curve is shown

by a heavy line; broken lines define a dispersion of ±0?6.

The lines of constant s are labeled and define domains in

which the light curves have similar shapes. Note that the

slope of the lines increases with period. Ordinate and

abscissa are photographic magnitude and logarithm of

period.

16.Oh

17.Oh
22

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

25 20 15 10 5 0/25 20 15 10 5 0/2 5 20 15 10 5 O

2 0

I 5

I 0

2 0

I 5

I 0

2 0

I 5

I 0

2 0

I 0

2 0

E,N

boo c

2 0 , I 8, I 6, 1 4

1 1 0 8,0 7

>*

I 0

H h

0 4

I 3

H 1 1

0 • I

8C

12,1 0

0 6

H h

0 3

o-8 ' -

I 4 0 0,- 0 0

1 2 , I 3,1 4

I 2

I 5

0 9

H 1 1 1-

0 5

1 1 h

0 2

-( 1-

GC

• + .

 #

 .

25 20 15 10 5 0/25 20 15 10 5 0/25 20 15 10 5 0

FIGURE 4.—Distribution over the face of the Small Cloud of blue stars, nebulosities, star clusters, and Cepheid variables. The

coordinate system, in units of 100", is that of Miss Leavitt, and is the same for each section of the diagram. (See following

page for explanation.)
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 23

• .. . _ • . .

* • . • . . • • *

• 4 •

•-• ' ; ••'.' v • •

. ' - •

•

• .

* ' • « -

- .

• •

' ; " -

• ft*

•

* ' •^•j'jfti'jf'

•

* • -

.. • *• ' • " f

• • ' • • •

FIGURE 5.—The Small Magellanic Cloud. The coordinate grid is the same as that for figure 4. The two globular clusters, 47

Tucanae and NGC 362, are foreground objects.

FIGURE 4—Legend—Continued . .

1. Emission line stars (small dots), blue supergiants (large dots) and bright nebulae (arc es). , R (ATc\**\

2. Blue clusters from the catalog of Kron (1956). Clusters designated + + by Kron (large^dott); + (small dots), B (arcles).

3. The brightest Cepheids: <«>o=12 - to 13- (large dots); 13- to 14- (medium dots); 14- to IS- small dots).

4. Cepheids with log P>2.0 (largest dots); 1.8 to 2.0; 1.6 to 1.8; 1.4 to 1.6 (dots of progressively smaller size).

5. Cepheids with log P=1.2 to 1.4 (large dots); 1.0 to 1.2 (small dots).

6. Cepheids with log P=0.9 to 1.0.

7. Cepheids with log P=0.8 to 0.9 (large dots); 0.7 to 0.8 (small dots).

8. Cepheids with log P = 0.6 to 0.7. ... . • • u I\M

9. Cepheids with log P=0.S to 0.6. (In this diagram and through no. 14, circles denote stars with (M-m)

10. Cepheids with log ^=0.4 to 0.5.

11. Cepheids with log P=0.3 to 0.4.

12. Cepheids with log P=0.2 to 0.3.

13. Cepheids with log P=0.l to 0.2. .. .

14. Cepheids with log P=0.0 to 0.1 (large dots, circles); <0.0 (small dots, arc es).

15. Clusters designated "globular" and "globular?" by Kron (large and small dots).

Values of the age, T, calculated from Young's formula for various groups of Cepheids, are:

logP T {years) log P Zty"*rs) log P

>2.0 <1.»XHF 1.0 7.2X1£ 0.4

2.0 1.4XKF 0.9 8.5XUF 0.3

1.8 2.0XHP 0.8 lp» 0.2

1.6 2.7X10* 0.7 1.2X10» 0.1

1.4 3.7XHF 0.6 1.4X101 ^0.0

2 S.2XKF 0.5 1.6X10" <0.0

Circled crosses, W Virginis stars; crosses,

T (years)

1.9X 10s

2.3X108

2.7X 10s

3.2X 10s

3.7X10*

>3.7X1O»
24 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

I 7

- 0 4 - 0 2 0 0 0 2 0 4 0 6 0 8" 1 0 1 2 1 4 11 6 1 8 2O 2 2 2 4

I 8

FIGURE 6.—Penod-lummosity relation. Ordinates, <m> 0 (above, scale to left); x0 (below, scale to the right). Abscissae, log P.

The lines labeled A, B, C represent Solutions 2, 3 and 7 of Table 9 for <m> 0 ; D, E, F represent Solutions 2, 3, and 7 forx*.

Crosses denote W Virginis stars.
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 25

15 8

16 2

4

4

4

0

4

8

> * *

HV 8 1 4 •v*'

3 7 1 ^ .

6

7

7

6

0

4

/ \ - °

• *

1 294 9 /

• 4 74 /

13 6

14 0

7

8

8

6

0

4

Vi"~\ HV

*\* °

1 1 36 8 / ^

• 48 4 . L

6

7

1 7

1 7

6

0

4

8

/ \

r \ HV •

/ \ 0 •

144 6 > V

4 9 7 /

A

7

7

1 7

0

4

8

_*^. HV

.^V \ o

182 1 -,

5 0 2 y<U' *

16- 6 •

17 0

4

1 5

1 5

6

0

4

J\

J m

HV 20 9 1 /

\ 0 533 /

S. /

6

6

7

1 7

1 7

2

6

0

4

8

j \ HV2 0 90

] T 0-53 9

• \ \L 1

-

\

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.
26

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

4

4

5

4

8

2

\ HV 2 2 34

./* \. 0 5 4 0

\

*•

•

\

*••

6

6

6

0

4

8

' h

1

•

HV

0

.,

1595 J \

54 7 J

16 4 -

16 0 -

16 0

16-4 -

16 8 -

6

6

1 7

4

8

2

A/

HV 1 12 2 9

0 584 A

/

14 8 -

15 2 -

15 6 -

16 4

I 6 8

I 7 2

I 5 2

I 5 6

I 5 6

I 6 0

I 6 4

I 6 8

I 7 2

HV 18 34

0 60 3

17 2

HV I I 2 I 2

0 6 0 6

HV 202 0

0 6 16

16 2 "

16 6 "

6

1 6

1 7

4

8

?

3 6 2

/**X o

- 1 2

6 52 >T •

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 27

16 6 "

17 0

6 0 -

6 4 -

I 6

I 6

I 6

I 7

I 6

I 6

I 6

3 6

14 0 "

4 4 "

17 8 "

18 2

7

8

6

0

f x. °1128 9

7 8 8 .7.

0

4

8

7 * \ HV

0

A

3 27 ]•

7 2 6 /

16 4

16 8 "

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued

797-819 O—66 3
28

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

6 8 "

17 2

7 6 "

16 6 "

17 0 "

17 2

17- 6

1 6 6

17 0

7 •

1 7

2

6

HV 11436

 /^*^v#

04 7 yC v^

•

17 0 -

17 0 -

17 4 -

16 4 -

16 8 "

17 2 -

17 6

18 0

17 0 -

17 4 -

7

8

1 8

6

0

4

•

•

•

I V HV 1

V '

\ r

• • •

6

1 7

1 7

6

0

4

/ • \ HV 1 1 1 97 / ^

073 / 7 4 -

7 8 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD

16 6

17 0 -

7 8 -

6 6 -

17 0 -

17 2 "

I 7 6

17 0 -

17 4 -

17 0 -

17 4 -

17 8 "

7 2

7 6 -

17 2

17 6

7

7

1 8

4

8

2

/ \ '

11260 f\

187 /

/

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
30 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

17 2 -

17 6 -

17 2

17 6 -

8 0 -

17 4 -

7 8 -

6

7

7

6

0

4

A . HV

• J \ '

-._J Sv^

•

/ • \

10 3 6 5 *t

2 58 /

16 6 -

17 0 -

7

7

8

2

6

0

1 V '

1208 9 f

2 70 /

—-y^» » ^ ^

•

17 4 -

17 8 -

18 2 -

16 8 -

17 2 -

16 6 -

17 0 -

17 4 -

17 8 -

17 2 -

17 6 -

7

7

1 8

1 8

2

6

0

4

A

 HV

J A, I

7 *v^

f

1 2 1 1 4 /

2 8 0 f

• « • * /

17 2 -

17 6 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 31

16 6 -

17 0 -

17 4 -

17 4 -

7 8 -

6

6

0

4

HV 1 1 5 1 7

2 9 5 »*«**SVi

17 8 -

8 2 -

18 6 -

16 8 -

17 2 -

7 6 -

8 0 -

6

6

1 7

4

8

2

-

HV 1

1

1 208 J

300 r

...

•

. J

7

1 7

1 8

4

8

2

f\ HV

I \ '

- i~—~r ' '

1 14 5 1 /•»

308 / •

I 7

I 7

17 6 -

18 0 -

16 8 -

17 2 -

2

6

HV 1

3

9 6

7

7

7

0

4

8

/

# V HV

/ V '

1772 f\

•32 1 f

16 8 -

17 2 -

I 7

7 6 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
32

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

17 6-

18 0-

18 4-

7 2 -

17 6 -

18 0 -

17 8-

18 2-

18 6-

17 0-

17 4-

17 8-

16 6-

17 0-

7 6-

18 0-

8 4-

7 6

18 0

HV 1133

359 /

/

7

7

2

6

HV

•J ^

15 13

17 0

17 4-

17 8-

17 4 -

17 8 -

8 2 -

6

7

fl

2

6

A

r \ H v '

/ V ••

-

A

152 3 LV

36 7 /

. . /

8 0-

8 4-

17 0-

17 4-

17 8-

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 33

I 6 6

17 0

I 7 4

17 8

17 6 -

18 0 -

16 6 -

1 7 0 -

17-4 -

1 7 8 -

17 6 -

18 0 -

1 7

1 8

7 •

7

6

0

2

6

t \ H V

• J vj.

135 9 J

390 t

.. • - ...V

14 95 ,-«.

390 /

"•--•2—""^ •

6

1 7

1 7

1 7

6

• 0

4

8

-

- • , J

T HV 1 985 1 \

\ 13 9 1 1

V J•

17 0

17 8

17 0

17 8

16 6

17 0

I 5 8

16 2

6 6

17 2

17 6

18 0

17- 4

17 8

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
34 SMITHSONIAN CONTRIBUTIONS TO AOTROPHY8ICS

16 6

17 0

17 4

7 • 6

18 0

17 2

17 6

16 8

17 2

17 6

16 6

17 0

7 4

7 8

I 6 0

16 4

6 8

17 2

7

1 7

1 7

1 8

0

4

8

2

-

-

A\

\

H V

1

1 1

4

t

1 4 2

2 8

17 8 -

18 2 -

17 8 -

18 2 -

7 0 -

17 4 -

6 6 -

17 0 -

7 4 -

7

1 7

1 7

0

4

8

A

/ \ H V 2

IK '

»• t . . /

.47 r\

4 3 0 /

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 35

7

7

7

0

4

8

A

• \" :

/ «

138 9 /

4 39 /

• • V

7 0 -

17 4 -

17 2

17-6

16 6

17 0

7 4

7 8

17 2

17 6

17 2

17 6

18 0

17 6

18 0

r 2

7 6

8 0

-

\ HV 18 94

\ . 1 4 4 5

\

17 0 -

17-4 -

17 8 -

7 2 -

17 6 -

18 0 -

16 6

17 0 -

6

1 7

1 7

8

2

6

- t \

1 \ HV

/ V ' / \

f

6 15 >

• 450 /

7

1 7

1 7

0

4

8

/ \

/ \ H V

f\

930 / •

4 5 5 L

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
36 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

17 0 -

17 4 -

7 2

17 6

16 6

17 0

17 4

17 8

7 2 -

17 6 -

7

1 7

4

8

/V HV 1 200 J\

4 6 7 ./ • * *

7

1 7

1 7

0

4

8

-

-

• • J

^ H V 1 1 47 3

\ r 147 2

J

H V I 29 2 3

147 4

7

1 7

0

4

HV

\ i

i i i

4 9

• a

7 5

1

* ••

•

/

/

~*—r*—J

6

6

1 7

1 7

2

6

0

4

/ \ HV

/ X- •

• /

• \

1 1 400 /

4 9 1 j

I

;• j

17 4 -

17 8 -

17 6 -

18 0 -

17 8

17 2 -

17 6 -

18 0 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 37

17 4

17 8

17 4

7 8

17 0

17 4

17 0

17 4

7

8

8

2

/ *V HV 1 1 2 98 /

/ V ' ' 508 /

6 8 -

7 2 -

17 6 -

164 -

16 8 -

17 0 -

17 4 -

7 2

17 6

16 8 -

17 2 -

16 6 -

17 0 -

6 6 -

17 0 -

7 4 -

17 6 -

18 0 -

7 6 -

18 0 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
38 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

16 8 -

17 2 -

17 4 -

17 8 -

18 2 -

17 6 -

18 0 -

• J v

1136 7 -»-A

..,„„ f

153 2

17-6 -

18 0 -

17 2 -

7 6 -

I 7 0

I 7 4

I 7 8

17 8 -

18 2 -

17 8 -

18 2 -

17 8 -

17 8 -

18 2 -

7 0

7 4

7 8

• r^ \\

 HV183

 r 7 j

' \ 154 8

17 8 -

8 2 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 39

I 7 8

I 7 2

17 6

16 8 -

17 2 -

I 6 6

17 0

17 6 -

18 0 -

17 8 -

18 2 -

17 4 -

17 8 -

17 2 -

17 6 -_ _'_

17 4 -

17 8 -

18 2 -

17 6 -

18 0 -

6

7

8

2

1 X. '

12 17 2 / k

6 0 3 /

7

1 7

1 7

0

4

8

— / ^V

1 \ . H V

/ V '

^

1139 8 i

5 9 5 /

17 6 -

18 0 -

17 0 -

17 4 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
40 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

6

1 6

1 7

4

8

2

' f\

V TM1 99 7 {6 11

6

7

8

2

HV 1 1 9 8

18

 -S^

17 4 -

17 8 -

6 8 -

17 2 -

16 8 -

17 2 -

17 6 -

16 6 -

17 0 -

17 4 -

17 2

17 6

17 6 -

18 0 -

16 6 -

17 0 -

17 2 -

17 6 -

17 2 -

17 6 "

16 6 -

17 0 -

17 4 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 41

16 4 -

16 8 -

1 7

1 7

7

0

4

8

\ HV

/ X. '

186 7 /

648 t

16 8 -

17 2 -

6

1 7

1 7

6

0

4

A

A. i

•J V

143 6 f

65 6

6

6

4

8

HV 177 7

6 5 6

17 0 -

17 4 -

7

1 7

4

8

f\ HV 1 1 1 6 1 f

6 6 1 I

• f

6

1 7

1 7

B

2

6

I A ^

f

1036 8 I

662 r

• •

17 2 -

17 6 -

7 •

7 •

0

4

/ *\ HV 1 928

' / \ . "• "

A

i

1 6

1 6

2

6

i

A \ I \ .

..../ v •

• 7 N *

HV

1

••

7 5

6 5

•

*

1

•• .• •/

7

1 7

• 0

• 4

/ \ HV

/ *^ '

289 9 1

662 /

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
42 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

16 6 -

17 0 -

17 8 -

18 2 -

17 2 -

17 6 -

18 0 -

6 8 -

17 2 -

16 4

16 8

17 2

7

7

2

6

\ HV 1 939 /

- 668 I

16 8 -

17 2 -

16 6 -

17 0 -

7

7

2

6

/ K HV 11242 f

•66 9 /

7

7

4

8 • • y V^

1135 9 •

6 7 9 /

7

1 7

1 7

0

4

8

/ \ HV

J V i

r

7 6 6 1

680 /

1 6

1 7

8

2

HV 177 4

6 8 2 v^ ^

• /•

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 43

16 8 -

17 2 -

17 6 -

16 2 -

16 6 -

17 0 -

17 4 -

7

7

2

6

1A

 HV

\ '

K 138 0 \*<

• 69 9 I *

•

 # • t r - . _»-^

7

7

7

0

4

8

" ft

/ \ HV

A 1 1 1 34 / \

•T., / \

16 8

17 2

18 0

18 4

HV I 2 9 I 8

I 707

17 8 -

17 0 -

17 4 -

17 8 -

17 2 -

17 4 -

6 6 -

17 0 -

17 4 -

17 0 -

17 4 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued

797-819 O—66
44

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

16 8 -

17-2 -

17 6 -

7

7

2

6

" / \ . HV

/ \ '

1344 / \.

730 / \

7

8

6

0

• ^ • •

'J ^

1 3 98

732 k

16 4 -

16 8

17 2 -

7

1 7

1 8

4

8

2

1 V H V

•J V

1116 7348 / \ J \

7

1 7

1 8

2

6

0

T *\ H V 1 13 6 3

/ \ 17 3 7

17 8

18 2

I 7 0

I 6 8

I 7 2

17 0

17 4

16 2

16 6

17 4

17 8

6

7

7

6

0

4

/ V HV

' / \ '

A

173 2 i "«

754 1 V

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 45

17 6

18 0

17 0 -

17 4 -

16 8 -

17 2 "

7

1 7

2

6

1119 5 .A

758 J

* # /

6

7

1 7

8

2

6

f *

r \ HV 1656 f \

7 58 /

• •

17 4 -

17 8 -

16 4 -

16 8 -

17 2 -

17 6 -

16 8 -

7 2 -

17 0 -

17 4 -

17 6 -

18 0 "

6

1 7

8

2

f\ HV 1 754

111

r

/

7

7

8

4

8

2

- J\

• \ :

A 12 13 7 / \

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
46 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

17 2 -

17 6 -

17 4 -

7 8 -

16 6 -

17 0 -

17 4

17 8

17 0 -

17-4 .

7 8 -

16 2 -

16 6 -

16 4 -

16 8 -

16 6

I 7 0

17 4

I 6 4

16 8

16 8 -

17 2 -

7

7

1 8

2

6

0

> V HV

- / \ ^ ;

j

114 6 0 'jf\

7 8 7 f \.

• *

6

6

7

4

8

2

/ • * n v

- ^

115 00 ^ *

789 j /

7

7

1 7

0

4

8

/ * \ H V 1 13 8 4

/ v 1796

• •

A

f

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 47

16 8 -

17 2 -

16 4 -

16 8 -

17 6 -

18 0 -

17 8 -

18 2 -

17 0 -

17 4 -

6

7

7

6

0

4

• • XT • \.

7 ' N .

 HV 2

/ V «

146 / *

802 /

17 6

18 0

16 0

16 4

HV 12 14 3

1-80 6

17 0 -

17- 8 -

17 0

17 4

17 8 -

16 6 -

17 0 -

16 2 -

16 6 -

17 0

17- 4

16-2 -

16- 6 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
48 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

17 0 -

17 4 -

17 8 -

17 4

17 8

17 6

18 0

7

7

7

8

0

4

8

2

A

• / v ":

• -J x ~

A *

190 4 J \

8 5 8 /

7

7 •

1 7

0

4

8

•

- • //

 v "^

1990 AV

•842 7 \

. / *

17 2

17 6

18 0

7

7

7

0

4

8

- / V'

-J ^^

112 2 6 j' \

85 3 f V

/

17 0 -

16 4 -

16 8 -

17-2 -

7 6 -

6

7 •

8

2

1 1 67

855 f

6

7

7

8

8

2

6

0

A

\V HV

\ 1

1 1 1 8 1

8 6 0

/

\

7

7

7

0

4

8

HV 1 2947

869 /

. /

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 49

16 4 -

16 8 -

17 2 "

17 0 -

17 4 -

17 8 -

18 2 -

6

7

7

7

6 -

0 -

4 -

8 -

I \

f \

/

• 9

H V

1

144 6

8 7 2 ^

/

7

7

/

0

4

«

" / \ HV

• / \ '

1506 f \

•88 6 i V

18 0

I 8 4

17 2 -

17-6 -

16 4 -

16 8 -

17 6 -

18 0 -

6

7

7

8

2

6

/

HV

i

•

x•

12175 n

8 7 6 /

r

/

6

7

1 7

6

0

4

/ \

 H V

12088 / \

• 89. r\

7

7

0

4

HV 1 036 1

89 5

7

7

• 0

4

•J

H V

1

1 1 479

879 A

16 8 -

FIGURE 7.—^The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
50 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

6

1 6

1 7

4

8

2

H V

7 ^v«

mr »\ «

17 1 3

897 yf*

I 6 8 II 7 2 h

16 4

16 8

17 2 h

I 7 6 h

18 Oh

I 7 • 0 h

I 7 4 II 7 8 Y

6

1 7 •

1 7

I 8

8

2

6

0

y \

- / \ H:

A

1 1 1 48 / ^

9 02 J *

-«!• . 7

16 6 h

I 7 0 h

I 6 6 I17 0 k

I 7 4 U

I 7 8 1-

6

6

7

1 7

2

6

0

4

r •

/ t

j *

f *

•J \

H V 84 1

1 909

j •

/ ^

\

J

7

1 7

7

0

4

" /\ . »V

•

14 4 7 J ''\-

9 12 / ^

Jr

7

7

4

8

jfV» HV i i

9

* - »

i 18 rv.

1 4 /

I 7 0 II 7 4 h

I 7 8 (-

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 51

16 8 -

17 2 -

17 6 -

18 0 -

15- 4

16 2

7

7

7

0

4

8

/

HV 1 1 1 1 9 f

92 7 /

/

1 6

6

1 7 •

4

8

2

7 • \ '

- / N112 09 «^^-

9 2 8 / .

• • /

6 4 -

16 8 -

17 2 -

17 6 -

17 0 -

16 8 -

17 2 -

17 6 -

1 7

1 8 •

6

0

a

r v HV

/ ** i

A.

1 565 1 \

•9 36 /

1 7 •

1 7

2

6

12 14 2

937 f

• # •»

17- 2

17 6

17 2 -

17 6 -

18 0 -

1 6

1 6-

1 7 •

1 7

4

8

2

6

/ \ HV 1 1 488 /

/ ^ * 1-94 2 V

- . / \ . , /

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
52

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

1 7

1 7

1 7

0

4

8

1 \ HV

r 1 504 /

946 1

"*• * •

17 2 -

7 6 -

17 8 -

6 4 -

16 8 -

17-2 -

6

7

7

7

6

0

4

8

A

r V Hv

/ \ '

A

19 9 9 f

j

9 67 /

I

7 •

1 7

1 7

0

4

8

- / \ '

/

11342 1

956 i

6 2 -

16 6 -

17 0 -

17 4 -

17 8

6

1 6

1 7 •

7 •

4

8

2

6

/ \ H V 1 796 /

960 | i

7

7

2

6

r A MV

VV

1420 {

970 f

/

17 2 -

17-6 -

6

c .

7 •

1 7 •

4

Q

2

6

-

-

/

' \ '

*

10384 /

972 I

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 53

6

1 7

1 7

1 8

8

2

6

0

ftV HV

1" / \ '

18 39 /A J

979 t

16 8 -

17 2 -

7 6 -

16 6 -

17 0 -

6

6

4

8

HV 1 9 1 6

996 . ^

6

7

7

1 7

6

0

4

8

/ \ H V

/ \ '

1 1 1 74

9 9 7

•

•

A

/

I

•J

16 6 -

17 0 -

17 4 -

17 0

17 4

16 8 -

17 2 -

17 8

18 2

6

7

7

8

8

2

6

0

K K

J \ HV1330 j

J \ 2 001 I

/ ^V /

16 8

17- 2

17 6

18 0

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
54 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

16 6

17 0 -

7 4 -

17 2

7 6

17- 6

18 0

17-6 -

18 0 -

17- 6

18 0

HV I 1 2 6 4

2 00 7

6

6

7

4

8

2

*y*

HV

\

 2

1953 •<

00 7 /

6

1 6

1 7 •

4

8

2

/ \ HV

i X .

 2

12942 / X

•008 f

7

7

7

0

4

8

/ V HV

7 > 2

7 iV

13 67

Oil f

/

16 8 -

1 7 2 -

16 2 -

16 6 "

17 2 -

17 6 -

•C^^^. 2 0 2 2 /

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 55

17 0 -

7 4 -

7

7

4

8

HV

V^>» 2

154 9

02 6 V *

A

1 6

1 7

1 7

7

6

0

4

8

1 \ HV

i \ 2

r

10380 t

030 J

. i

•

17 0 -

17-4 -

16 6 -

17 0 -

16 6 -

17 0 -

7 4 -

1 6

1 6

1 7

7

2

6

0

4

M / r \ HVI2O8 2 t

\ \ 2 03 7 1

6

1 7

1 7

8

2

6

/ \ H V

/ x 2

/

1 800 /

038 /

17 0 -

17 4 -

6 4 -

16 8 -

17 2 -

16 6 -

17 0 -

17 4 -

17 8 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
56 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

17 4

17 8

HV I I 3 7 6

2 060

6

1 6 •

1 7 •

1 7

2

6

0

4

1 \

1 295 3

060 I

• •

17 6 -

18 0 -

16-2 -

6 6 -

6

7

7

8

2

• 6

/ X^ HV

- / X- 2

1 604 /

• 072 /

• •• 7

16-8 -

17-2 -

17 2 -

18 0 -

16 6

17 0

6 8 -

1 7 2 -

17 6 -

8 - 0 -

16 8

17 2 -

17 0 -

7 4 -

17 8 -

6

1 7

1 7 •

8

2

6 r f

/\

I HV 1 96 4 f

\

 2 O9 2

 /

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 57

16 8 -

7 2 -

7 6 -

8 0 -

18 4 -

17-2 -

17 6 -

6

7

7

8

2

6

A7 ifc H V

/ X 2 1 762 f

107 /

16 8 -

17 2 -

7 6 -

6 2 -

6 6 -

17 0 -

17 4 -

17 8 -

7 • 2 -

17 6 -

16 0 -

16 8 "

7 2 "

7

1 7

2

6

/ * \

 H V

 ' 441 #***

56 f

6

1 6 -

1 7

1 7

1 7

2

6

0

4

8

/ \ H V '

i V 2

V

f

/

M 9 4 r

1 42 I

6

1 6

1 7

1 7

1 7

2

6

0

• 4

8

fw \ HV2099

1 \ 2 1 60

1 V J

1 *\

r

•

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
58

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

6

1 7

1 7

1 8

8

2

• 6

0

A A

/ V H V 1 51 1 /

/ \ ^ 2 1 60 /

/ \ . /

16 4 -

16 8 -

17 2 -

17 6 -

6

1 6

1 6

1 7

1 7

• 0

4

8

2

6

\ HVI

/ V 2

1 V

L •V •

- • •#*^ •

A

789 / \

161 I

16 8 -

17 2 -

7 6 -

18 0 -

7 • 2

17 6 -

18 0 -

I 6 4

16 6

I 7 0

16 2 -

16 6 -

17 0 -

17 4 -

6 0 -

16 4 -

16 8 -

17-2 -

17 6 -

18 0 -

18 4 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 59

6

1 R

1 6

7

0

4

8

2

/ \ . HV2O9 5 7

/ *^ V 2 2 2 2 /

/ % . /

• •

6

7

7

7

6

0

4

8

f\

/ A-

 HVI

/ \ *

/ *^^"^

r

13 72 /

2 42 I

16 8 -

17-2 -

17 6 "

6

6

7

4

8

2

f \ H v

/ \ 2

A

1 594 7 \

22 7 /

1 7

1 7

8

2

6

0

/ \ HV 1

f Y 2

A.

2 3 2 7

16 0 -

16 4 -

16-2 -

16 6 -

1 7 0 -

17-4 -

17-4 -

7 8 -

18-2 -

16-8 -

17 2 -

6

6

1 7

7

2

6

0

4

/ \ "«

A

r

1 803 /

236 |

6

1 7

1 7

6

• 0

4

H V 1

^~y W ivL

 2

8 1 7

2 50 y»

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued

797-819 O—66 5
60

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

16- 2

16 6

6 6 -

17 0 -

7 4 -

6

6

6

0

4

8

/ *\*

/ \ HV2

/ \ 2

12 8 /

26 8 A

1 5

1 6

1 6

1 6

7

6

• 0

4

8

2

A.

/

i %

HV2167 /

2 2 73 1

6

1 7

1 7

8

2

6

A.

/

 # \ H V 1

/ V 2

8 0 5 / »^

2 79 Z

*• 7

16 4

16 8

1 7 2

17 6

16 6

17 0

17 0

17 8

16 0

16 4

16 8

7 2

17 6

16- 8

17 2

17 6

18 0

HV I 12 02

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 61

16 2 -

16 6 -

17 0 -

17 4 -

1 6

1 6

7

4

8

2

/ \ 2

166 0 1h J

330 /

I

1 7

1 7

8

2

6

0

m / \

7 \ HV '

1 \ 2

f * \

4 9 7 f

31 1 /

/

17 2 -

17 6 -

6

6

7

7

4

8

2

6

I \ H V '

h

1 37 4

3 2 0

6 8 -

7 2 -

1 7 6 -

16-2 -

6 6 -

17 0 -

17 4 -

6

6

1 7

1 7

4

8

2

6

AJ ^»

. \ HV I

I V

 2

•

8 33 /

3 2 7 /

• •

5 8

6 2

6 6

17 0

7 4

A A

J \ HV11198 i

1 \ 2 354 1

! \

\ .

[

i N 1

1 7

1 7

1 8

4

8

2

A ^ V

 HV 1 1 4 1 8 A

358 /

• • • J

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
62 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

17 6 -

18 0 -

16 6

17 0

17 4

16 6 -

17 0 -

17 4 -

15 4 -

15 8 -

16 2 -

16 6 -

17 0 -

6

7

7

6

0

4

r \ H v'

/ \ .

 2

6 8 7 1

3 9 6 /

I 7

17 6 .

17 4 -

17 8 -

18 2

6

1 7

7

8

2

6

-

• \ HV

S? 2

f

142 4 I

392 I

... . /

6 2

6 6

7 0

7 4

I \ . 2 •

\

-J ^

A

120 1 1 \

40 3 /

5

6

6

8

2

6

u

> 7 V

 HVI H

0376 /^T 5^

407 / *

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 63

I 6 6

17 0

I 7 4

16 4

16 8

17 2

17 6

18 0

16 4

16 8

17-2

17 6

5

6

6

1 7

1 7

8

2

6

0

4

f\ ft

J

f

 \

 \ r HV2I0 7 *

1 \ 2 4 11

6

6

1 7

4

8

2

/ iv

H V 1

2

1

4

if

1 56 A»

1 2 /

/

5 6

16 0

16 4

16 8

17 2

5 6

16 0

6 4

16 8

7 2

16 8

17 2

17 2

17 6 -

18 0 -

16 6

17 0

17 4

17 8

HV I 9 7 I

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
64

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

16 2

16 6

17 0

17 4

17 8

15 8-

16 2

17 0-

17 4-

16 0

6 4

16 8

17 2

17 0

17 4

17 8

6

1 6 -

4

8

HV

***^\^ 2

19 55

457 V^ ^

6

1 7

1 7

1 7

1 8

6

0

4

8

2

— • *

f \ HV.4,4 | \

1 \ 2 4 59 /

/ S /

- / \ r . /

16 2 -

16 6 -

I 7 0 L

16 0-

16 4-

16 8-

16 2

16 6

17 0

17 4

6

7

7

6

0

4

f V HV

/ X 2

A

136 1 J

•47 4 J

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 65

6

6

7

7

4

8

2

6

r fs h

1 \ HVI0 382 1 / X 2 475

 /

/ V /

16 6

17 0

17 4

16 2 -

16 6 -

6

1 6

4

8

H V1 0 370

4 7 7 s/fi?'

• ** ^ ^

6

6

7

4

8

2

A

J ^ H V 1

/ \ ^

4 4 8

4 7 9

I

1

6

6

1 7

2

6

0

HV

/AV_

 2

1 760

48 1 ^ \

16 4 -

16 8 -

6

7 •

7 •

1 7

6

0

4

8

/ V HV

\

 z

f M

. ... / >

ft.

188 7 /

•50 3 I1

16 0 -

16 4 -

16 8 -

6

6

1 7

1 7

2

6

0

4

| V HV2

1 N- 2

/ \,#

* 7 •

r

1 66 f

509

16 6 -

17 0 -

17 4 -

17 8 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
66

16 8 -

17 2

I 7

I 6

17 0

I 7

I 6

16 6

17 0

15- 6

16 0

6 4

I 6

I 6

16 4

16 8

17- 2

16- 2

1 6 6

17 0

17 4

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

17 0

17 4

17 8

16 0

16 4

16 8

17-2

17 6

16 6

17 0

17 4

15 8

16 2

16-6

17 0

17 0

17 4

17 8

16 2

16 6

FIGURE 7—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME

16 4 "

16 8 "

17 2 "

VARIABLE STARS IN SMALL MAGELLANIC CLOUD

16-2

16 6

17 0

17 4

67

e

6

1 6

7

0

4

8

2

f V HV

1 \ Z

192 3 f

• 56 6 f

j

6

7

1 7

8

8

2

6

0

A /

j \ HV196 9 J

/ ^ w 2 57 0 /

/ ^ V /

5 8-

16 2 -

16 6-

15-4 -

15-8 -

16 2 -

6 6-

15 6

6 0

16 4

16 8

16 6

17 0

17 8

15 6

16 0

16-4

16 8

17 2

16 8

17 2

17 6

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
68

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

16 2 -

16 6 -

17 0

17 2

17 6

16 8

17 2

17 6

15 8

16 2

16 6

17 0

17 4

17 8

16 8

17 2

15 6

16-0

16 4

16-8

17 2

HV I 2 92 9

2 602

16 0

16 4 -

16 8 -

17 2 -

6

7

8

2

i ^v

 2

156 8 r+

•63 7 /

6

7

7

1 7 •

6

0

4

8

A f

I ^- HV 1 3 76

I \ 2 63 8

L V I

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 69

6

6

1 6 •

1 7

0

4

8

2

A

' / \ • .•J V

A

9 17 r »y

6 44 J

17 4 -

17 8 -

16 0 -

16 4 -

16 8 -

17 2 -

17 6 -

15-4 -

15-8 -

16 2 -

16 6 -

6

1 7

1 7

6

0

4

- / \ 2

1931 y^<

6 9 1 » /

6 0

16 4 -

6 8 -

7 2 -

i •

t 7 •

1 7

1 8

0

4

8

2

A

1 \ HVI

1 \ 2 •

/

A

133 2 / ^

707 f

%»• . /

7 •

1 7 •

1 8

2

6

0

•

/ \.

 H V '

7 \ .

 2

1 N,

/ ^*_ •

•

ii5 i jO y

708 /

/

6

6

6

0

4

8

^-^ HV 1 60 0 »*>*-.

5

1 6

1 6

1 7

1 7

1 7

8

2

6

0

4

8

\

\ HV I

f V 2 •

V.

• 7 ^ -

1 1

7 1

\

14 I ^

1 1

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
70 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

15 8

16 2

16 6

17 0

17- 4

6 0

16 4

16 8

I 7

I 6

6 4

6 8

6 4

6 8

17 2

17 6

15 8

16- 2

16 6

17 0

17 4

16 2 -

16 6 -

16 8 -

17 2 -

17 6 -

I 5 6

I 6 0

16 4

16 4 -

16 8 -

17 2 -

17 6 -

18 0

7

7

7

0

4

8

/ \ H V

^ / X 2

J ^

14 5 8 /»V

74 9 t

•

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 71

15 6 -

16 0 -

16 4 -

16 8 -

17 2 -

16 6

17 0

17- 4

I 7 2

1 7 6

I 6 0

I 6 0

16 4

16 8

17 2

17 0

17- 4

17 8

6

6

7

4

8CVJ

/ V HV2

• V 2

-J N

149 j \

7 6 9 I

6

6

7

4

8CVJ

rv HV

• / ^

1629 r \

769 /

6 6 -

17 0 -

17 4 -

6

7

7

6

0

4w

Y HV 1

•V

 2

•

1135

7 6 9

r

/

6

7

8

2

HV

f^SV 2

111 5

7 6 9 f*

6

6

7

7 •

4

8

2

6

1 V HV2080 /

f V 2 77 8 1

I \ /

•w ^—w

16 0 -

6 4 -

16 8 "

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
72 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

16 6

17 0

17 4

6 O

6 4

6 8

17 2

16 0

16 4

16 8

17 2

7 6

6

1 7

1 7

7

6

0

4

8

/V

 HV

/ V 2

• / v .

- . •/ ^

185 2 A

• 80 7 /

16 6 -

6

6

1 7

1 7

2

6

0

4

I T

 H v

/ \ 2

/ X

• •

175 3

8 17 I

/

I 6 6

17 0

7 8

6

1 6

1 7

2

6

0

HV

•

1295 5

8 2 5 .*"£*•**

5

6

6

7

8

2

6

0

N f

/ •\ H V 1 8 0 9 1

/ \. 2 82 5 T

/ ^S- ^ 1

5

6

1 6

1 6

6

0

4

8

•

1

\

 2

\

9 4 2 f

84 1 7

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 73

16 0 -

16 4 -

16 4

16 8

17 2

17 6

16 4

16 8

5 8

16 2

6 6

17 0

16 4 -

6 8 -

7 2 -

16 6 -

17 0 -

17 4 -

16 0

16 4

16 8

16 8

1 7 2

HV I I 18 5

2 86 2

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
74 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

6

7

7

8

2

6

/V. HV

i ^V.

 2

/ •

184 1 jT

867 f

6

6

6

0

4

8

HV 1 1 4 9 1

5 4 -

15 8 -

16 2 -

15 6 -

16 0 -

16 4 -

16 8 -

17 0

17 4

15 8

16 2

16 6

17 0

7

1 7

0

4

HV 1

/"W 2 •

5 0 7

876 f\

5 6-

16 0 -

16 4 -

16 8 -

16 0

16 4 -

16 8 -

17 2 -

6

1 6

1 7

1 7

4

8

2

6

/ A HV 2

/ \

165 I \

886 J

# /

16 4 -

16 8-

17 2 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 75

6

I 6

7

4

8

2

1 \ H V

V

 2 5 40

8 90

A

f

6

6

6

0

4

8

1 \ HV

/ \ 2

157 5 J

904 k

6

1 6

1 6

1 7

0

4

8

2

/*V H V 2 1 2 6 /*V

7 \ 2 903 j

/ V /

16 6 -

17 0 -

17 4 -

16 4 -

16 8 -

17 2 -

17 6 -

6

6

7

7

2

6

0

4

[\ HV

\

 2

4 60 l\

9 12 J

j

5

1 5

1 6 •

1 6

1 6

2

6

0

4

8

i\ r

I \ HV2 2 1 0 f

\ 2 9 19 1

1 \ 1

1 X I

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued

797-819 O—06
76 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

6

6

7

2

6

0

/ x

 2 1947

 A .

937 / V

6

7

7

1 7

6

0

4

8

7 \ 2

i i 13 6 r ^

94 2 .7

/

5

5

4

8

HV215 5

2 94 4

5

1 6

1 6

1 7

1 7

6

6

8

2

6

0

4

4

8

Jk A

/ V HV1 6 1 6 I

T \. 2-94 4 |

HV10369

y^\ ^ 2 948 ^fV ;

1 6

1 6

7 •

4

8

2

HV

/^\ .

 2

-

1 1 53 0

949 J*

/

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 77

1 6 0

I 6 4

I 6 8

1 6 0

1 6 4

I 6 8

1 6 2

1 6 6

I 7 0

1 5 6

1 6 0

1 6 4

16- 8

1 6 4

1 6 8

1 7 2

15- 6

1 6 0

16- 4

1 6 8

H V I 149 9

H V I 6 I I

HVI1 2 7 8

1 6 •

7 •

1 7 •

8

2

6

A .

 HVI

7 \ 2

/ X.

14 50 J!

972 <l

j

6

6

1 6

1 7

0

4

8

2

A

i \ 2

7 ^

A

842 # ^

973 j

^ I

6

1 7

7 •

6

0

4

A

 HVI

/V 2 / ^v

117 1 A

974 / 1

/

16 4 -

16 8 -

17-2 -

6

6

7

7

2

6

0

4

1 i\ HVI

/ \ 2

X.

K

1496 j Jy

982 I

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
78 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

16- 0

16 4

16 8

17 2

6 4

16 8

17 2

16 4

16 8

17 2

7 6

15 4

15 8

16 2

16 6

15- 8

6 2

16 6

17 0

6

6

7

7

8

4

8

2

6

0

• A .

 H:

14 4 3 •/

9 9 3 / :

. . . /

16 0 -

16 4 -

16 8 -

6

7

1 7

1 7

6

0

4

8

r\

1 1

 HV

r \ 2

rv

146 2 1 *

9 9 5 I

1

1 6

1 6 •

7

7 •

8

4

8

2

6

0

i T H V

1 V 3

•

A

182 4 /

0 0 3

1

FIGURE 7.-The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 79

6

1 6

6

7

0

4

8

2

A HV2

• \

192 r

00 7 /

/

16 6-

17 0 -

7

7

1 8

2

6

0

H V

> •*

 3

/ \ . .

• *

11283

008 1

/

5 8

6 2

16 6

1 7 0

17 4

f \ HV2079 f \

\ 3 00 7 /

-

1

15 6-

16 0 -

16 4 -

15 2

15-6

16 0

6 4

16 8

7 2

1 \ HV2

I \ 3

- v

A

173 1 \

03 1 f

6

6

7

2

6

0

A

 HV

/ v 3

/ \*

1038 1 yS

008 j \

/

6 8-

17 2-

17 6-

18 0-

16 8-

17 2-

17 6-

18 0-

16 4-

I 6 8 - •

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
80 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

5 2

15-6

16 0

16 4

16 8

16 2

6 6

17 0

17 4

16 O f

I 6 4 II 6 8 r17 2h

16 0

1 6 4

16 8

I 7 2

16 6

1 7 0

1 7 4

I 5 8

I 6 2

I 6 6

1 7 0

16 0

16 4

16 8

7

7

1 8

4

8

2

N

 HV

/ V 3

". / ^

1 1 1 2 7 J

048 /

»-_. . /

1 6

1 6

1 6

1 7

1 6 •

0

4

8

2

6

6

1 7

8

2

HV

/ * v

 3

7 ^ V

7 •

1662

 /^

050 / * 17 0

17-4

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 81

16 2 -

16 6 -

17 0 -

17 4 -

5

6

6

6

7 •

6

0

4

8

2

A A

J V HV103 73 1 ^

1 \ 3 074 I

1 \ 1 - / H* /

16 2 "

16 6 "

17 0 "

17 4 -

16 2 -

16 6 -

17 0 -

16 0 -

16 4 -

6

6

7 •

7 •

4 -

8 -

2 -

6 -

/ N» 3 07 4 /

/ X /

17 0 -

17 4 -

5

6

6

6

0

4

7\ 3

J ' K

_ • X

1 872 ^^~*\

088 I

1 6

7

7

6

0

4

/*V H V 1

/ \ 3 •

1132 f*

089 /

» >

5

5

6

1 6

7

4

8

2

6

0

j \ HVI

X

 3

• / ^

• v

•

f

920 T

099 /

• 1

•

FIGURE 7.—^The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
82

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

5

1 6

1 6 -

8

2

6

A H V

/ \ 3

/ \

- / Nv

1 1 204 A

0 9 9 / \ f

I 5 6 U

I 6 0 \-

16 4 1-

6

1 7

1 7

1 8 •

8

2

6

0

i \ HV1780 j ^

1 V 3 10 1 /

- / x^^^ /

6

1 6

1 7

1 6

1 6

1 7

1 7

4

8

2

4

8

2

6

1 \ HV

r \ 3

/ \ .

HV

3

1 1

1

A

187 5 /

103 /

• 7

1X

163 I X

2 3 f

/

15 8

16 2

I 7 0

I 7 2

17 6

I 8 0

I 6 0

I 6 8

17 2

16 8

17 2

17 6

16

7 •

6

0

/ \ HV

I \ ^ 3

/ ^*V^

12 16 f

114 /

6

7

7

8

2

6

/ • \ H V 1

/• V »•

4 5 0 /«\

143 r

7

7

0

4

^ v

 HVI

/ ^ ^

 3

•

14 29 .

146 A

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 83

7

8

6

6

1 6

1 7

7

6

0

0

4

8

2

6

u H V 1

A

1 307

14 9 / .\

f

HV203 4 /

3 15 6 |

X. /

16 2 -

16 6 -

17 0 -

17 0 -

6

6

7

6

0

•/'X

 3 0358 y£^

159 -A *

5 2 -

15 6 -

16 0 -

16 4 -

16 4 -

16 8 -

17-2 -

5

6

6

7

8

2

6

0

1 \ HV2

1 \ 3 '

A.

154 / \

192 / >

/

5 6 -

16 0 -

16 4 -

16 8 -

6

6

7 •

4

8

2

A H V

•

12 109 /*

168 /

/

6

1 6

7

4

8

2

/ \

 H V

/ v 3

- / v •

1 908 J\

• 206 /

•

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
84 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

16-4

16 8

17 2

17 6

18 0

17-4

17-8

17 0

17 4

16 4

16 8

17 2

16 0

16 4

16 8

17-2

15-6

16 0

16 4

16 8

17 2

16 4 -

16 8-

17 2 -

6

6

7

7

4

8

2

6

-

\ H V 1

\ . 3

\

r

4 6 9 [

22 3 J

1 6

1 6

1 7

7

4

8

2

6

A A

/ \ T;;:9 /

•

1 5 •

1 5

1 6

1 6

1 7

7

4

8

2

6

0

4

ft r

I %. HV2O5 I [

/ \ 3 22 5

r \ r

/ ^ S N < * # I J *#^^~T J

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 85

15- 4

I 5 8

I 6 2

16 6

16 4

16 8

17 2

17 6

16 4-

16 8 -

17 2 -

15 4

15 8

16 2

16 6

17 0

16 4

16 8

17 2

17 6

17 0

16 8

7 2

16 6

17 0

16 0

16 4

16 8

17 2

17 6

18 0

16 2

16 6

17 0

16- 4 •

16 8

17 2

17 6

H V I 7 I 6

3 267

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
86 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

6 2

16 6

17 Oh

17 eh

1 6

1 6

7

7

2

6

0

4

r \ H v

I V

 3 29 13 i

2 7 7 /

• /

• *•*»£_# _7

I 6 • 2 U

16 6 t17 4k

6

6

7

7

4

8

2

6

/ % HV 1

_

\ 3

(\

8 89

3 2 7 I

•

I 5 2 h

I 5 6 h

I 6 4 h

I 6 8 h

17-21 -

7 6h

5

6

6

7

8

2

6

0

j \ H V 1 9 70 1

1 ^ 3 336 1

• / H. /

6

7

6

0

HV 1 830

298 ^^" V

1 6

1 7

8

2

H V2

/--V^^ .

3

Y• • ^^^~

1 48

3 17 * •

5

5

1 6

1 6

1 7

4

8

2

6

0

- VJ % H V 1

1 \ 3 •

746 J

33 8 /

• •

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 87

16 0

I 6 4

15 6

I 6 0

I 6 4

I 6 6

H V 2 I 6 0

I 7 0

17 8

16 2

I 6 6

17 0

6

6

6

7

0

4

8

2

IV

• I V •J ^

550 i

360 1

15 8 -

16 2 -

16 6 -

17 0 -

17 4 -

15 6 -

16 0 -

16- 4 -

16 2

16 6

15 8

16 2

16 6

17 0

15 2

15 6

I 6 8 P

17 2 -

17 6 -

180 b

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
88 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

6

6

7

7

2

6

0

4

I V HV 1

\ 3

J ^

I

5 0 8 /

3 7 2 /

6

7

7

7

6

0

4

8

L \ H V

/ \ 3

I

574 I

3 8 7 f

—J

5

6

6

6

7

6

0

4

8

2

/ A*

 Hv

/ V 3

166 3 1

• 3 9 1 j

16 0

I 6 4

I 6 8

I 6 2

16 6

17 0

I 6 6

17 0

17 4 -

16 0 -

16 4 -

16 8 -

6

6

7

1 7

2

6

0

4

i \ HV

/ v 3

I \ .

168 8 J ^

•39 2 t1

6

1 6

2

6

HV 1120 6

3 9 9 yT *

1 6

1 7

1 5

1 5

6

6

6

0

4

8

2

6

T\ HV2 1 3 8 f \

J *^sj 3 4 3 7 / •

I \ HV 1 98 3 I

[ V 3 43 8 /

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 89

16 2 -

16 6 -

17 0 -

15 6 -

15 6 -

16 0 -

16-4 -

15 8 -

16 2 -

16 4

I 6

17 2

16 2

16 6

17 0

17 4

6 4

16 8

17 2

15 2

15 6

16 0

16 4

6 8

5 6

16 0

16 4

16 8 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
90 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

6

1 6

1 7

1 7

1 7

2

6

0

4

8

I \ HV 1 4 22 i

r \ 3 500 /

I \ J

" J X^_ ^ J

5

6

1 6

6

6

0

4

8

j \ HV 2

i \ .

 31 83 f ^

53 7 /

/

6

6

7

2

6

0

A*

/ \ H V

• / K.3

• / ^

1 2 1 3 1 > '

• 504 /

-w» • /

6

6

6

7

0

4

8

2

J \ HVI88 8 /

/ \ 3 509 j

/ '^V , /

16 2 -

16 6 -

17 0 -

6

6

7

7

4

8

2

6

A

/ \ HV

/ \ 3

A

03 83 /

53 1 /

/

16 6 -

17 0 -

I 7 4- -

16 2 -

16 6 -

15 8 -

16 2 -

16 6 -

16 8 -

17 2 -

17 6 -

17 2 -

17 6 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STAR'S IN SMALL MAGELLANIC CLOUD 91

16 0 -

16 4 -

16 8 -

17 2 -

15 6 -

16 0 -

17 2 -

16 4 P

16 8 -

17-2 -

16 2 -

16 6 -

17 0 -

16 2 -

16 4 -

17 0 -

16 6 -

17 0 -

17 4 -

5 •

1 6

1 6

8

2

6

•

-

H V I

•

3 8 4

 A^S!

620 J+ \

I 6 2 -

I 6 6 -

I 7 0 -

5

6

6

7

8

2

6

0

j \ 3

• / v ^

•

A.

534 j \

642 f

/

I 5 4 -

I 5 8 -

I 6 2 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued

797-819 O—66 7
92

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

5

5

1 6

1 6

1 6

2

6

0

4

8

f \ HV

i \ 3

* / *

r\

804 f •

666 /

/

I 5 8

I 6 2

5

6

6

6

6

0

4

8

A

Jf i \»

 H v •

/ \.

 3

r 63 1

667 /

5 2

5 6

16 0

1 6 4

1 6 8

•J

f .\ f

V H V 2 1 8 5 J

\

 •

\

16 0 -

16 4 -

16 8 -

17 2 -

I 7 6 L

17-2 -

17 6 -

16 0 -

16 4 -

6 8 -

J

\ H V 1 3 3 7

\ 3 6 76

^

6

6

6

7

0

4

8

2

*

' / V

A

44 5 j

6 92 i

16 2 -

16 6 -

17 0 -

17 4: .

5

6

6

6

7

b

0

4

8

2

n n

f \ HV 1 4 5 3 |

/ \ 3 6 9 9

- I \^ j

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 93

15 6

16 0

16 4

I 6 8

16 8

17 2

I 6 4

16 8

17 2

16 0

16 4

16 8

1 6

1 6

1 6

7

5

6

6

0

4

• 8

2

8

2

6

f?\ H v ' 7 2 8 7 ^

/ ^V ' " ? /

• • • •

j \ HVI 86 6 1 \

/

 # \ ^ 3 7 2 4 /

16 4

16 8

16 4

16 8

17 2

17-6

16 8

17 2

16 8

17 2

17 6

16 2

16 6

17 0

16 4

16 8

17 2

16 6-

17 0 -

17 4

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
94

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

15 0

15 4

15 8

16 2

16 0

16 4

16 8

15 2

15 6

16 0

16 4

16 8

17-2

15-4

15-8

16 2

16 6

16-4

16 8

17 2

6

6

7

1 7

4

8

2

6

r \ Hv i

/ v 3

352 f V

809 I

6

1 6

6

7

0

4

8

2

/ X.

 3

r

15 1 /

8 11 >

6

6

6

7

0

4

8

2

/ V 5

10 ^

7 10 /

825 j

16 6 -

17 0 -

17 4 -

15 6-

16 0 -

16 4 -

6 8 -

FIGURE 7.—^The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VABIABLE STARS IN SMALL MAGELLANIC CLOUD 95

7

7 •

7

0

4

8

• J V ^

1483 P<

8 32 /

I 6

I 6

I 6

I 7

I 7

I 5

I 6

I 6

I 7

I 7

16 0 -

16 4 -

6 8-

17-2 -

16 6-

17 0 -

17 4 -

15 4 -

5 8-

16 2 -

16-6-

16 2 -

16 6-

17 0 -

17 4 -

6 • 2 -

16 6-

17 0-

7 4-

15 6-

16 0-

16 4-

16 8-

17 2 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
96 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

17 0-

7 • 8 -

5

6

6

7

8

2

6

• 0

f \ t H V 1 6 94 J ^

/ «^

 3 93 4

 /

'• / ^*<L ' /

17 0 -

17-8 -

6

1 6

I 6

1 7

1 7

0

4

8

2

• 6

J \ HV 1 58 0 1

j \ 3 94 1

1 \

6 2 -

16 6-

17 0 -

17 4 -

16 0 -

16 4

16 8

17 2

15 8

16 2

16 6

16 0

16 4 -

16 8

17 2

17 6

15 8

16 2

16 6

17 0

16 0

16 4

16 8

17 2

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 97

15 8 -

16 2 -

5

6

6

6

6

0

4

8

A A

/ *\. H V 1 7 9 5 / Vy

/ \ . 4 07 9 /

• j ^S^_. /

16- 2 •

6 6 -

17 0 -

17 0 -

17-4 -

17-8 -

8 2 -

16-8 -

17-2 -

16 8 -

17 2 -

17-6 -

8 0 -

17 2 -

1 6

1 6

4

8

^ HV

•/^"V^ 4

7J ^^** ^V! -

1 474

16 0 y» w

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

15 6

16 0

16 4

17 0

17 4

17 8

16 2

16 6

17 0

15 8

16 2

16 6

17 0

15 6

16 0

16 4

16 8

16 4

16 8

17 0

17 4

17 8

18 2

14 6

15 0

15 4

15 8

16-2

16 6

17 2

17 6

18 0

15 8

16 2

16 6

17 0

15 4

15 8

16 2

16 6

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STAR'S IN SMALL MAGELLANIC CLOUD 99

15 6

16 0

16 4

16 8

15 8

16 2

16 6

17 0

15 6

16 0

16 4

16 8

15 2

15 6

16 0

16 4

17 0

17 4

17 8

17-2

17-6

6

6

6

7

• 0

4

8

2

A A

/ V* HV842 /

j ^?" 4 2 8 9 I

15 6 -

16 0 -

16 4 -

6 8 -

6 8 -

17 2 -

1 5

1 5

1 6

6

4

8

2

6

A.

/ *\

- i \ *

- m f

HV

4

576 [ ^

336 i

/

16 2 -

6 6-

17 0 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
100 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

15 8-

16 2

16 6

17 0

6 2 -

16 6

17 0

17-4

16 6

17 0

17 4

16 4

16 8

17 2

15-8

16-2

16 6

16 8

17-2

17 6

180

16 0 -

16 4 -

16 8 -

16 6-

17 0-

7 4-

5

6

6

6

6

0

4

8

/ \ 7 / \

- J v

740 /

4 12 j

1 4

1 5

1 5

1 6

6

8

2

6

0

4

J \* H V86 1 /

1 \ 4 4 13 J

/ \ . /

- / \.^^ jf

1 6 2 -

16-6 -

17 0 -

17 4 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STAR'S IN SMALL MAGELLANIC CLOUD 101

16 2

16 6

17 0

16 4

16 8

17 2

5 4

15 8

16 2

16 6

16 2

16 6

17 0

16 6

17 0

7 4

16 0

16 4

16 8

17 2

16 6

17 0

7 • 4

X H V 1

1 *S*

 4

r 4 06

506 1

15 8 -

16 2 -

16 6 -

17 0 -

17 4 -

5

1 5

6

1 6

7 •

4

8

2

6

0

4 \ H V

•J •

425 /

5 47 I

16-4 -

6 8 -

17 2 -

15 6 -

16 0 -

16- 4 -

6 8

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
102 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

15 6

16 0

16 4

16 8

15 8

6 2

16 6

5 6

16 0

16 8

16-4 '

16 8

7 2

16 4

16 8

17 2

16 4

16 8

17 2

16 8 -

17 2 -

I 7 6 t

15 8-

16 2 -

6 6-

17 0 -

16 6

I 7 0

15 6-

16 0 -

16 4 -

16 2

16 6

17 0

15-6

16 0

16 4

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 103

1 5

5

6

6

4

8

2

6

A

r /

~*J

A

\ H V 2 1 2 9 j \

\ . 4 7 2 9 /

" ^ V /

5

6

6

8

2

6

7 \ HV 7 8 5 J

A

7 2 9 /

r

6 6 -

17 0 -

17 4 -

16 2 -

16 6-

17 0 -

1 5

5

1 6

1 6

4

8

2

6

/ N y HV189 9 /

1 XV

 4 76 0

 /

- / \. J

5

5

6

6

2

6

0

4

1 \ . HV2

/ T 4 / V.

1 64 I

769 /

/

16 6-

17 0 -

16 2

16 6

17 0

17 4

17 0

17-4

15 6

16 0

.16 4

16 8

15-8

16 2

16 6

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
104 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

16 4 -

16 8 -

17-2 -

1 7 6 "

1 5 •

6

6

7

8

2

6

0

7 \ HV2

/ \ .

• / ^ s

125 /

844 /

/

16 2 -

16 6 -

17 0 -

6

6

1 6

7

0

4

8

2

/ \

r

593 A

846 y

/

6

7

6

• 0

> -V HVI

•/ V. . 4

• * / ^ ^

683 /*"*V

8 5 7 »>4

15 0

15 4

15 8

16 2

15 6

16 0

I 6 4

17 2 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 105

15 6 -

16 0 -

16 4 -

4

5

5

5

6

6

0

4

8

2

f\ f I \ i j \ . H V 1 6 7 1 j

1 \ 4 • 900 1

1 \ 1

5

5

1 5

6

6

0

4

8

2

6

A

/ V* HV

/ \ 4

A

/

9822 7 1 / j

/

6

fi

6

0

4

8

J \ HV2

/ ^v

 4

«\

145 f >

i

94 1 7

15 8 -

16 2 -

6 6 -

17 0 -

15 6 -

16 0 -

16 4 -

16 8 -

7 2 -

1 5

1 5

6

6

7

4

8

• 2

6

0

- A A

/ * V /

/ \ H V 1 55 5 I

[ \ 4 942 1

/ »^#• j

•• •*

4

5

5

1 6

1 6

1 6

8

2

6

0

4

8

tx

\ \

909 I

947 i

V. ..J

FIGURE 7.—^The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
106 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

I 5 2 |-

15 6

16 0

16 4

16 8

15 8

16 2

16 6

17 0

16 0

16 4

16 8

16 4-

16 8

17 2

17 6

16 4-

16 8

17 2

17 6

6

6

6

0

4

8

1 ^ v

 5 1 992 /

0 4 8 1

5 6h

16 0 h

I 6 4 h

6 8 (-

16 0

16 4

16 8

15 2

15 6

16 0

16 4

6

6

7

7

2

6

0

4

/ • y H v i

/ \

. / ^ ^

92 7 /

0 8 4 /

/

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 107

16 2

16 6

17 0

17 4

17 8

15 4

15 8

16 2

16 6

15 8

16 2

16 4

16- 8

17 2

H V2 2 I I

16 0 -

16-4 -

16 8 -

17 2 -

17 6 -

6 6

17 0

17 4

16 0

16 4

16 8

16- 2

16 6

17 0

16 4

16 8

16 2

6 6

15- 8

16 2

16 6

15 8

16 2

6 6

17 0

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued

707-819 O—«6 8
108 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

5

1 6

1 6 •

8

2

6

/ V H V '

• / V 5

• J ^ N

6 33 j

200 /

16 0 -

16 4 -

16 8 -

17-2 -

15 4 -

5

5

6

2

6

0

/ i^. H V 1

/ x 5

r\

982 /it

224 /

15 4 -

I 5 8

16 2

16 6

5

6

1 6

6

6

0

4

8

f \ H V 1

• 7 v.

646 f

2 33 2

/

15 2 -

15 6 -

16 0 -

16 4 -

6 8 -

17 0

15 6

16 0

16 4

16 8

16 4

16 8

17 2

16 4

16 8

17 2

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 109

1 6

7

7

6

0

4

8.8 f^

45 8 J"

5

6

6

8

2

6

•

t

 A

-

H V

5

•

1811 / "

4 6 9 J"

5

5

5

6

6

0

4

8

2

6

A

/ \* HV1

/ \ 5 '

6 18 f

649 |

/

/

15 8 -

16 2 -

16 6 -

17 0 -

17 4 -

16 2 -

16 6 -

17 0 -

15-8 -

16 2 -

16 6 -

16 2 -

16 6 -

5

6

6

0

S\ H v i

/ * V^ • 5

929 ,/S

584 / ' 6

6

6

7

0

4

8

2

A

L \ H V 1

/

 #\*

 5

/ \

w ^

416 /

662 /

/

6

6

1 7

1 7

2

6

0

• 4

4 \ H V 1

/ \ 5

563 /

665 /i

FIGURE 7.—^The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
110 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

15 8

16 2

16 6

17 0

17-4

15-8

16 2

16 6

17 0

16 6

17 0

17 4

14-8

15-2

5 6

16 0

6 4

6 6

15 4 -

15 8-

16 2b

15 8

16 2

16 6

17 0

5

5

6

1 6

1 6

2

6

0

4

8

I \ i

1 X HVI50 3 1

j T 5 80 3 /

/ \ / 'J ^W

5

6

1 6

8

2

6

/ V HV

/ \ 5

/ ^ \

-• y v

143 4 /

• 8 3 3 /

• •

17 0

1 6

1 6

6

0

• 4

8

l'\ HVI

7 X ^ 5

L jtt •

7 '^< L

• /

5 3 7 / •

84 2 T

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 111

16 6 -

17 0 -

15 4 -

15 8 -

16 2 -

16 6 -

16 4 -

16 8 -

I 7 2 L

1 6

1 6

1 6

7

0

4

8

2

r * \ H V 2 1 4 4 /

/ \ 5 942 /

/ ^* \ /

6

6

7

7

4

8

2

6

A A

j \

 HVI 50° /" \

/ \ . 5 • 94 9 /

• / \ . /

15-2

15-6

16 0

16 4

16 8

17 2

17-6

18 0

15 4

15 8

16 2

16 6

15 4

15 8

16 2

16 0

16 4

16 8

16 8

17 2

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
112

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

15 2

15 6

16 0

15 6

16 0

16 4

16 8

15 0

15 4

15 8

16 2

16 6

17 0

16 4

16 8

17 2

15 8

16 2

16 6

17 0

15 2

15 6

16 0

16 4

15 8

I 6 6

I 7 0

I 6 6

17 0

17 4

15 8-

16 2 -

16 6-

16 2

16 6

17 0

15 8

16 2

16 6

17 0

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STABS IN SMALL MAGELLANIC CLOUD 113

1 6

6

7

2

6

0

.rv v

 HVI

/ *^v

 6

• J \

1 1 93 J^^K

427 *£

15 2-

15 6-

6 0-

16 4-

1 4

1 5

1 5

1 5

6

6

0

4

8

2

f *\ HV2

/ * \ . 6

/ ^^ *

1 42 J

4 90 /

/

/

6

7 •

1 7

6

0

4

f\* HVI

• / > ^

 6

4 12 AA

4 6 3 J

5

5

1 6

1 6

4

8

2

6

A \ .

 HV'

% \ 6

94 5 7A

4 6 8 •/

6 2-

16 6-

17 0-

7 8-

5 4-

5 8-

16 2-

16 6-

16 0-

16-4 •

16 8-

6 0-

164 -

16 8-

16 0

16 4

16 8

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
114

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

5

6

6

1 7

8

2

6

0

/ \ HV I

1 \ 6

1112 /

6 11 /

15 8 -

,16 2 -

16 6 -

16 6 -

15 0 -

15-4 -

15 8 -

16 2 -

16 0 -

16 4

16 8

1 5

6 -

8

2

^ *»^,

 H v 1 32 4

6 6 3 > ^

17 2

16 0

16 4

14 6

15 0 -

15 4

15 8

I 5 4

15-8

16 2

16 6

15 8 -

16 2 -

6

6

1 6

0

• 4

8

/ <\ HVI

/ % * *

775 / •

8 10 J

17 0

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME

15 6

16 0

16 4

15 4

15 8

16 0

16 4

16 8

15 8

16 2

15 8

16 2

14 8

15 2

15-6

16 0

16 8

17 2

15-8

16-2

VARIABLE STARS IN SMALL MAGELLANIC CLOUD

15 2

15 6

16 0

16- 4

15 8

16 2

16 6

15 6

16 0

16 4

115

15 2 -

15 6-

16 0 -

16-4-

5 4 -

15 8-

6

6

6

• 0

4

R

f* A^. H V 1

- f ^V

599 /*•* *

4 98 J

FIGURE 7.—^The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
116 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

14 8 -

15-2

15 6

15 8

16 2

16 2

16 6

16 2

16-6

17 0

15 0

15-4

15-8

15 4

15 8

16-2

16 6

17 0

15 6

16 0

16-4

HV I 2 940

16 2 -

I 6 6

1 7 0

1 4 8

15 2

15 6

16 0

15 4

I 5 8

15 2 -

15 6-

16 0 -

16 4

16 8

15-6

16 0

16 4

16 8

15 8

16 2

FIGURE 7.—The mean light cuives of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE 8TARS IN SMALL MAGELLANIC CLOUD 117

17 0

17 4

17 8

14-8

15 2

15 6

16 0

5 6

16 0

16 4

15 2

15 6

6 0

15-4

15 8

16 2

16 0

16 4

16 8

5 • 4

5 8

I 6

I 5

16 2

I 6

I 6

16- 6

15 8

16 2 -

16 6

17 0

I 7

I 5 0 -

15 4

15- 8

16 2

15- 2

15- 6

16 0

15 6

16 0

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
118

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

1 4 8

15 2

15 6

1 6 0

15 0

15 4

I 5 8

16 2

17 0

1 7 4

17- 8

1 5 4

1 5 8

16 2

1 5 0

15 4

1 5 8

16 2

16 6

1 7 0

14 8-

15 2-

15 6-

16 0-

15 0-

15 4 -

15 8-

16 2 -

15 2-

15 6-

16 0-

16 4 -

15-2-

15 6-

16 0 -

15 4

15 8

16 0-

16 4 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 119

14 4 -

14 8 -

5 2 -

15 2 -

15 6"

16 0 -

6 6-

l70 t

15 2 -

15 6 -

16 0 -

5

5

1 6

6

2

6

0

4

J \ HV.

J \ '0

- • L

K

4 2 6 1

438 J

1 5

1 5

1 6

2

6

0 - f

HV222 9 7 —

y 10-44 8 /

15 2

15 6

16 0

15 0

15 4

15 8

16 2

15 0

15 4

15 8

16 2

15-8

16 2

15-2

15 6

16 0

15 6

16 0

16-4 -

16 8 -

7 2 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
120

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

14 2 -

14 6 -

15 0 -

15 4 -

15 6 -

16 0 -

16 4 -

1 4

5

5

5

6

0

4

8

/ \» HV22O I J V

/ \ 11-25 2 J

-f \ I

5

5

5

6

0

• 4

8

2

-

/^ A "

j

630 /

40 1 y V

14 6 -

15 0

15 4

5 8

15 0 -

15 4 -

15 8 -

16 2 -

16 6 -

17 0 -

4

4

b

5

2

6

0

4

A /

/ V \ HV857 -A /

/ ^ \ 1 1 98 2 /

•

4

5

5

5

1 6

6

0

4

8

• 2

J \. HVI

/ W l2

; \

A

68 2 J

14 9 %

A

>

/

4

5

5

1 5

6

0

4

8

A. A

-

\ HV85 6 /

\ 12 155 J

>. J

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 121

15 4

15 8

I 6 2

16 6

15- 4

15 8

16 2

15 8

16 2

16 0

16 4

16 8

1 7 2

14 2

14 6

15 0

1 5 4

14 2

14- 6

15 0

14 6 -

5 0 -

15 4 -

15 8 -

6 2

4 • 8 -

15 2 -

15 6 -

16 0 -

5 2 -

15 6 -

16 0 -

14-8 -

15 2 -

5

6

6

6

0

4

f \ HVI

\ :

 l 3

•r \

464 At

295 J \

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
122

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

14 6

15 0

15 4

15 8

14 6

15 0

15 4

14 6

15 0

15 4

15 0

15 4

15 8

16 2

16 6

15 6

16 0

16 4

15 0

15 4

15 8

4

4

5

2

6

0

J\\ HV 1

/ V '3

93 3 T**

7 80 /

5

1 6

1 6

1 7

8

2

6

0

7 * *r

 H v'

/ * . 1 4

y* *

4 54 7

06 8 /

/

14 8-

15 2 -

15 6-

1 5

1 5

6

6

6

2

6

0

4

8

/ \ . HV1996 /

• r \ , A'

14 6 -

15 0 -

15 4 -

15 8 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLT}ME VARIABLE STABS IN SMALL MAGELLANIC CLOUD 123

5

6

6

6

6

0

4

8

— • •

/ X # HVI38 6 I

/ \ 14-42 8 /

/ \ J

5

5

5

6

0

4

8CM"

A

* \ HV843

1 \ » 14 7 14

h

1 4

1 5

1 5

5

6

0

4

8

1 \ .

 HVI

v '4

5 7 9 T

5 7 3 /

/

17 0

7 8

4 2

14 6

5 0

5 4

15 8

6 2

T HV2088

\ 14 578

• N \ . /V

144-

4 8 -

15 2 -

5 6 -

1 5

1 5

1 5

6

0

•A

8

2

i Je HV I 4 4 2

2 8 7

14 6 -

15 0 "

15-4 -

5 8 -

I 4 • 8 F

15 2 -

15 6 -

6 0 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued

797-819 O—66 9
124 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

14 6-

15 0 -

15 4 -

15 8-

15 0 -

15 4 -

15 8 -

16 2 -

4

4

1 5

1 5

4

8

2

6

I \ HV,328 I

/ "V. 15 8 4 0 /

5

5

5

6

0

4

8

2

I *y HV I

t /• \ '5

- / X

A

48 1 /

65 1 J

4

4

5

1 5

! 5

1 6

2

6

0

4

8

2

•

• y

f\ f i \ 1 \ HV854 7

*j \ 1 6 953 1

X y

4

4

5

1 5

4

8

2

6

• •

1 , \ H V 1 7 87 •

/ •^ y 16 196

- \ \ v ^J

5

5

6

1 6

1 6

2

6

0

4

8

/ \ H V '

J \ 15

kA

48 2 / ^

827 /

/

15 0 -

15 4 -

15 8-

16 2 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 125

14 6

15 0

15 4

5 8

6 4

I 6 8

17 2

15 6

16 0

6 4

16 8

3 6

4 • O

14 4

14 8

4 8

5 2

5 6

16 0

6

7

7

7

6

0

• 4

8

I V HVI

J ^» * 1 7

828 f

1 95 I

/

3

1 4

1 4

8

2

6

/ X. 17

925 /

1 99 /

I 5 8 F

6 2 -

16-6 -

14 4 -

14 8 -

15 2 -

4

5

5

5

6

0

4

8

I \ HVI

I \ ' 8

' J \

884 f

116 f J

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
126 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

13 6 -

14 0

14 8 -

4

5

5

1 6

1 6

8

2

6

0

4

\ HVI

V

2

m_ ^

5 2 2 f

1 4 3

J

14 6 -

15 0 -

15 4 -

14 2 "

14 6 "

15 0 "

15 4 -

15 8 -

13 6

I 4 0

14 2 -

14 6 -

15 0 -

15 4 -

4

5

5

1 5

1 6

1 6

6

0

4

8

• 2

6

J •* V HVI54 3 [

/ V 20 4 54 j

- \ \ j

- J \ J

5

5

6

6

1 6

2

6

0

4

8

• \

r V H v '

/ V 24

/ V

/ \ ,

/

ii2 9 r

4 7 7 /

/

/

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STABS IN SMALL MAGELLANIC CLOUD 127

13 8

14- 2

4 6

5 O

14 4

14 8

15 2

15 6

6 0

1 \ 1 *

#

\

\ HV22O5

V 25 43 2

1 *\ 1

1 Y

14 6 -

15 0 -

5 4 -

5 • 8 -

1 3

1 4

1 4

1 4

1 5

5

6

0

4

8

2

6

\

I \ HV863 I

1 V 28 962 I

- I \ I

•vJ *%J

5

«>

1 6

1 6

2

6

0

4

1 \* H V1 0 3 5 3 i

/ ** \ 2 7 2 2 8 /

- / X. /

13-8 -

14 2 -

14 6 -

1 5 0 -

14-8 -

5 2 -

15 6 -

16 0 -

14 2 -

4 6 -

15 0 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
128 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

14-6

15 0

15 4

15 8

16 2

14 8

15 2

15 6

13 8

14 2

14 6

15 0

15 4

14 0

14 4

14 8

15 2

15 6

14 0

14 4

14 8

14 4 -

13 6-

14 0 -

14 4 -

14 8-

4 2

4 6

5 0

15 4

-

-

' \

\ . H V 8 6 5

\ 33 3 26

13 8-

14 2 -

14 6-

15 0 -

14 2 -

14 6-

15 0 -

15 4 -

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 129

14 0

4 8

13 0

13-4

13-8

4 2

13 2

13 6

14 0

13 4

13 8

14 2

14 6

12 4

12 8

13 2

13 6

14 0

13 2

13 6

12 4

12 8

13 2

12 8

3 2

13 6

14 0

14 4

4 8

15-2

12-4

12 8

13 2

HV82 I

118 -

12 2

12 6

I 3 0

FIGURE 7.—The mean light curves of the intrinsic periodic variables arranged in order of period.—Continued
130

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 1.—List of variables studied

Harvard variables previously announced 1566

New Harvard variables (this paper) 46

Duplications — 20

Total stars investigated 1592

Cepheids (including P<l d) 1186

Long-period variables 24

Irregular variables 62

Eclipsing stars 34

Total (table 2) 1306

Variable, no period foundVariability doubtful

Not variable

Too faint for study

Not measured.

TotaL125

60

51

11

39

288

TABLE 2.—List of Harvard variables

CODING FOB RESULTS

C Cepheid (including P<l d)

E Eclipsing star

I Irregular variable

L Long-period variable

f too faint for study

nm not measured

nv not variable

v variable, no period found

v? variability doubtful

* see notes

HV

809=HV 6323=UX Tuc

833=HV 4075=HV 8008=TZ Tuc

841=HV 11183

849=Nova Tuc 1897

860=HV 6346=RS Hyi

864=HV 6354=BY Hyi

865=HV 6357 (not 6358 as in n)=ST Hyi

1447 Published coordinates incorrect

1454=HV 10354

1498 Original value of X=11702 erroneous

1510=AP Tuc

1583 Published coordinates incorrect

1615=HV 12113

1625 Close pair; both perhaps variable

1627 Published value of Y revised

1629=HV 12121

1640=Z Tuc; close companion disturbs measures

1669=Star f (Arp, Astron. Journ., vol. 64, p. 254,

1959)

1684 Close companion

1690=HV 12135

1708 Published period not verified

1723 Published coordinates incorrect; close double

1743=BS Tuc

1762=BV Tuc

1773=BT Tuc

1789=BU Tuc

1820=BW Tuc

1825=HV 12161

1829=BX Tuc

1830=ST Tuc

1842=BZ Tuc

1861 Close double

1871=HV 10362

1887=SS Tuc

1922= SU Tuc

1926=SW Tuc

1929=SV Tuc

1932=HV 10363

1934=HV 11456

1938=HV 11462

1962= SY Tuc=Arp g

1971 Published data (m) refer to HV 1993

1972=SX Tuc

1974= SZ Tuc

1993 Published data (m) refer to HV 1971

2002=TT Tuc

2005 Close double

2040=TW Tuc

2041=TV Tuc

2043=AH Tuc

2046=TX Tuc

(Continued on page 141)
TABLE 2.—List of Harvard variables.—Continued

131

HV

206

212

2 1 4

809

810

811

812

813

814

815

816

8 1 7

818

819

820

821

822

82 3

824

825

826

827

828

829

830

831

832

833

8 3 4

835

836

837

838

839

840

841

842

843

8 4 4

845

846

847

8 4 8

849

850

851

852

853

8 5 4

855

856

857

858

859

860

861

862

863

8 6 4

865

1323

1324

1325

1326

1327

1328

1329

1330

1331

1332

1333

1334

1335

1336

1337

1338

1339

1340

X

15472

15467

15708

1907

4205

4298

4421

4585

5586

8564

8842

8511

9220

9326

8774

9570

9581

10077

10734

11125

11445

11473

11594

11706

11782

11926

11943

12233

12555

12722

13150

13164

13095

13508

13703

13805

13863

13871

14024

14206

14139

14582

14624

15063

15083

15328

15789

15650

15994

16142

16583

16173

16795

17098

17860

18215

21397

21863

23924

6639

6762

7062

7342

7366

7374

7460

7582

7642

8025

8199

8214

8417

8617

8706

8724

8782

8806

y

16597 a

16488 i

16402 a

9287 a

11520 «

12295 i

11640 i

11774 «

11440 i

5186 i

5244 i

12207 i

6297 i

6146 i

17366 i

6141 i

6805 :

6567 i

9857 i

10813

7449

10674

8045

9748

6843

6774 i

10143

20164

11451

10260

14274

12554

8168

15187

11000

13274

10884

10860

12823

9359

7182

11765

11901

19530

12522

10347

11804

6404

7824

7994

14153

6117

12185

10222

10474

13426

5445

198

2424

5040

6237

6290

7194

11187

5606

12545

7884

7324

6216

5276

5859

5266

7978

4904

5752

7694

6624

Reference

a

a

a

h j n r

1 W

i

t

I j W

i m o p

i m o p

i j k O p 8 X

i b d k o p

i d k

i b d k s u x

i b d k

i b d k o p x

ibdks x

1 j 8

i d f k

i b d k o p x

i d f k

t j k 8 X

i j •

i n

1 j k 8 X

» jk q

igko p

i d k a v x

1 B

* gk

31 j k 8 V

I m n

ibd k

a m v

a m v

I j k

a d k s v

a d k v

a

i m v

i m o p

3. m

a r

i jk

i j k o p

a j k o p»v

a j k o p

a m o p

a s

a h n

a

a r

a j k s u

a h j n

a j h k n s u

a m

a

a

a r

a

a j k o p x

a

a

a

a

a m o p

a j k o p

a m o p

a

a m

a m o p

a

a t

Results

C

C

C

C *

C

I

V?

I

C

C

c

c

c

c

c

c

c

c

c

I

c

c

c

c

c

c

I

L*

c

c

c

c

L

c

c

c*

c

c

c

c

c

c

c

n m

C

C

C

C

C

c

c

c

c

L

n m

C

C

c

n m

C*

c

c

c

c

c

c

c

c

c

c

c

c

c

nv

C

C

C

E

HV

1341

1342

1343

1344

1345

1346

1347

1348

1349

1350

1351

1352

1353

1354

1355

1356

1357

1358

1359

1360

1361

1362

1363

1364

1365

1366

1367

1368

1369

1370

1371

1372

1373

1374

1375

1376

1377

1378

1379

1380

1381

1382

1383

1384

1385

1386

1387

1388

1389

1390

1391

1392

1393

1394

1395

1396

1397

1398

1399

1400

1401

1402

1403

1404

1405

1406

1407

1408

1409

1410

1411

1412

1413

1414

1415

1416

1417

1418

X

8892

9027

9054

9162

9175

9189

9216

9240

9275

9303

9358

9361

9394

9406

9406

9425

9479

9486

9497

9507

9544

9574

9585

9586

9594

9687

9705

9734

9758

9763

9827

9866

9876

9884

9885

9887

9894

9898

9913

9922

9935

9952

9967

9974

10003

10022

10035

10036

10049

10084

10104

10119

10143

10197

10203

10205

10274

10293

10304

10304

10318

10322

10324

10328

10334

10374

10427

10467

10498

10515

10534

10544

10546

10571

10597

10614

10614

10636

y

4754 i

6013 i

9175 «

7062 a

Reference

t n

i d k o p x

i

i

9740 a j k

5650 i

7506 <

7700 :

7334 «

8425 i

6836 i

5322 .

8698 .

6785 .

7445 .

5556 .

8136 .

8164

8472 .

8932

722 5

7680

6865

8995

6124

9062

8040

7788

8337

6969

9344

7601

8774

6726

5706

5659

7554

9518

8062

8894

8317

7916

5536

8362

8884

7574

7584

8094

10794

9641

9335

9679

7532

7423

6663

8302

7332

8858

7749

10786

8046

5281

8948

9206

7881

8043

8399

9214

10682

9334

7369

6187

6744

8489

7418

7755

8345

8364

i t

i b d k o p

i m

i d k

ib d k

i m

i

i

a

i

i

a b d k o p

i

a

a

a j k

a

a

a

a

ab d k

a s

a m

a

a

a

a

a

a

a u

a

a

a

a

a

a

a

a m

a

a f k

a d f k

a

a m

i f m

i m

ad f k

a b d k o p x

at d f k

a m

a m

a m

a d f k

a d f k m

a e k

a 1

a

a rn

a d f k

a

a b d k

a e k

a f k

a d f k

a f m

a f m

Results

nv

~C

C

C

C

E

C

C

L

C

C

C

C

C

C

C

C

C

C

C

C

C

c

c

c

L

c

nv

~C

nv

C

C

c

c

L

C

C

C

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

V?

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c
132

TABLE 2.—List of Harvard variables.—Continued

HV

1419

1420

1421

1422

1423

1424

1425

1426

1427

1428

1429

1430

1431

1432

1433

1434

1435

1436

1437

1438

1439

1440

1441

1442

1443

1444

1445

1446

1447

1448

1449

1450

1451

1452

1453

1454

1455

1456

1457

1458

1459

1460

1461

1462

1463

1464

1465

1466

1467

1468

1469

1470

1471

1472

1473

1474

1475

1476

1477

1478

1479

1480

4181

1482

1483

1484

1485

1486

1487

1488

1489

1490

1491

1492

1493

1494

1495

1496

X

10646

10649

10655

10663

10665

10686

10697

10709

10724

10816

10829

10845

10912

10915

10951

10959

11004

11031

11045

11054

11072

11076

11086

11086

11089

11108

11109

11146

11188

11175

11186

11195

11206

11224

11241

11243

11251

11254

11254

11295

11301

11311

11314

11346

11350

11366

11380

11394

11384

11397

11432

11432

11434

11444

11445

11461

11474

11483

11484

11503

11514

11520

11540

11544

11544

11561

11570

11587

11593

11603

11628

11634

11663

11666

11669

11686

11687

11696

y

7960

9186

72 74

6563

6685

9692

10476

8864

8594

10243

7126

8972

9683

7333

6334

7607

8057

10889

9046

8712

8817

9006

7175

7711

9373

8623

9584

10941

6822

9057

9834

7147

8022

6984

9003

7873

5735

6363

9412

9471

7070

12362

7839

6826

6214

8074

10079

9086

9178

6423

6621

7575

9228

6986

11808

10194

7747

10852

10494

7695

8826

8480

7996

8344

8739

8727

11320

8294

9874

6802

6966

8844

10415

10803

7094

15915

11068

6478

Reference

a d f k

a 1

a f n

a b d k

a

a e

a b d k o p x

a m o p

a e k

a

a f n

a j k

a e k

a f s

a

a d f k

a d f k

a b d k

a e k

a e m

a e m

a e n

a f t

a d f k

a e k

a e

a e k

a b d k o p

a

a e k

a e

a d f k

a d f k

a

a e k

a

a j s

a

a e k

a e m

a

a b d k o p

a d f k

a

a

a d f k

a

a m

a n

a

a

a d f k

a e m

a

a

a

a d f s

a

a

a d f k

a e n

a d k

a d f k

a d f k

a e

a d k m

a t

a d f k

a

a

a

a e m

a

a b d k o p x

a

a g k

a k

a

Results

C

C

nv

c~c

C

c

c

c

c

nv

C

C

I

E

C

C

C

C

C

C

nv

E

C

C

nv

C

C

C*

C

c

c

c

c

c

c*

I

I

c

c

c

c

c

c

c

c

V

c

nv

I

C

C

C

C

nv

C

I

c

c

c

nv

C

C

C

C

C

E

C

C

C

C

C

C

c

c

c

c

c

HV

1497

1498

1499

1500

1501

1502

1503

1504

1505

1506

1507

1508

1509

1510

1511

1512

1513

1514

1515

1516

1517

1518

1519

1520

1521

1522

1523

1524

1525

1526

1527

1528

1529

1530

1531

1532

1533

1534

1535

1536

1537

1538

1539

1540

1541

1542

1543

1544

1545

1546

1547

1548

1549

1550

1551

1552

1553

1554

1555

1556

1557

1558

1559

1560

1561

1562

1563

1564

1565

1566

1567

1568

1569

1570

1571

1572

1573

1574

X

11698

14698

11707

11712

11749

11764

11771

11779

11781

11784

11802

11805

11843

11845

11847

11849

11853

11859

11880

11886

11890

11904

11905

11914

11922

11928

11934

11954

11955

11957

11971

11971

11981

12006

12006

12013

12040

12044

12048

12055

12063

12072

12076

12076

12086

12095

12106

12107

12110

12116

12116

12119

12121

12125

12126

12154

12156

12162

12171

12177

12233

12247

12279

12280

12284

12284

12286

12286

12311

12324

12342

12344

12367

12384

12397

12406

12434

12444

y

6400

7670

8699

6 566

9005

11845

10125

8653

12212

11355

6917

6979

7850

15900

10780

7094

11282

7483

11225

6513

11181

6734

9279

9846

10414

8166

10387

8072

6637

6847

9056

11495

6792

6407

6675

8936

8773

7235

6665

8213

5931

6487

6205

6975

8297

12 748

7540

8498

8994

8133

10356

10596

6754

8717

7066

9640

8037

6403

10944

10314

7273

9275

10104

9875

7926

9494

6386

8905

7566

6326

7629

16633

10947

9264

11537

6657

9378

10789

Reference

a

a n

a d k m

a

a j k

a

a

a d k

a b d k o p

a b d k

a

a

a f k

a g r

a k

a

a k o p

a f k

a

a

a m

a

a e k

a e k

a j k

a f k

a

a e I

a

a

a e k

a

a

a

a

a e m

a e k

a

a

a f k

a m

a

a

a

a f k s

a

a f k

a e k

a e m

a f k

a

a

a

a m

a

a

a f k

a

a k

a

a m

a e m

a

a j k

a f k

a j k

a

a j k

a m

a g

a m

a k

a k

a e j k m

a k

a

a

a k

Results

C

n m *

C

C

C

C

C

C

C

C

C

C

C

C *

C

C

c

c

c

c

c

V?

c

c

c

c

c

V?

zc

c

c

I

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

V?

c

c

E

c

c

c

c

c

c

c

c

c

c

c

c

c

I

c
133

TABLE 2.—List of Harvard variables.—Continued

HV

1575

1576

1577

1578

1579

1580

1581

1582

1583

1584

1585

1586

1587

1588

1589

1590

1591

1592

1593

1594

1595

1596

1597

1598

1599

1600

1601

1602

1603

1604

1605

1606

1607

1608

1609

1610

1611

1612

1613

1614

1615

1616

1617

1618

1619

1620

1621

1622

1623

1624

1625

1626

1627

1628

1629

1630

1631

1632

1633

1634

1635

1636

1637

1638

1639

1640

1641

1642

1643

1644

1645

1646

1647

1648

1649

1650

1651

16 52

X

12466

12471

12475

12480

12483

12484

12488

12495

11180

12519

12534

12534

12540

12544

12564

12566

12571

12579

12591

12603

12606

12612

12626

12641

12646

12668

12685

12685

12685

12694

12723

12724

12744

12760

12764

12767

12769

12777

12784

12792

12796

12798

12799

12800

12805

12816

12824

12854

12862

12862

12866

12874

12884

12887

12906

12916

12920

12924

12925

12926

12927

12934

12944

12960

12962

12966

12974

12980

12982

12995

12996

13012

13021

13021

13021

13023

13037

13037

y

11322 i

8755 i

6645 «

14724 «

8451 «

7586 «

6813 <

11735 <

7116 ;

8465 <

7359

10416

10703

7804 «

9194 «

11506 i

10597 «

9113 «

6824 i

72 32 «

4849 i

8804

12759

9945

8794

13076

6625

7044

15060

12730

6456

6740

11525

11617

8405

11006

13055

7914

8716

9748

11654

13566

7943

12307

12764

10555

9054

6955

5513

10886

6744

7429

7928

8233

10521

8634

12318

11599

8354

9524

8264

9714

7680

11820

8523

9934

12406

6024

7836

7356

7973

10047

7565

9135

9944

7936

6604

10326

Reference

i k

i m

i g k

i e k

i m

i j k

i e k

i m

1 S

i m

i m

i j k

i k

i j k

i

I

i j

i t

i

i m

i

i

i

i gk

id k

ik

ik

i m

i. b d k o p

*• 9

i m

i n

i

i k

i m

i m

i k

i d k o p

i j t y

i n

i

i m

i k

1

i m

i

i m

i m

a j k

i dk

i q

i j k

i jk

i m

i j k s

i m

i q

a m

a q

a m

a m

a s

a s

ab dk

a

a n

a b d k

a j k

a

a i s

Results

C

C

C

C

C

C

C

C

C*

c

cI

c

c

c

cV?

c

c

c

c

I

E

c

c

c

c

c

c

c

c

c

c

c

c

c

c

cnv

C

C*

c

c

c

c

E

nv

C

C

C

n m *

C

C*

C

c*

c

c

c

c

c

c

c

c

c

cn m *

C

C

C

L

L

C

V

nv

C

C

cI

HV

1653

1654

1655

1656

1657

1658

1659

1660

1661

1662

1663

1664

1665

1666

1667

1668

1669

1670

1671

1672

1673

1674

1675

1676

1677

1678

1679

1680

1681

1682

1683

1684

1685

1686

1687

1688

1689

1690

1691

1692

1693

1694

1695

1696

1697

1698

1699

1700

1701

1702

1703

1704

1705

1706

1707

1708

1709

1710

1711

1712

1713

1714

1715

1716

1717

1718

1719

1720

1721

1722

1723

1724

1725

1726

1727

1728

1729

1730

X

13051

13058

13065

13070

13075

13086

13094

13099

13108

13124

13132

13136

13144

13149

13157

13162

13162

13165

13178

13180

13184

13185

13205

13213

13215

13217

13241

13260

13260

13281

13294

13304

13305

13305

13308

13311

13314

13324

13324

13325

13333

13355

13359

13363

13364

13383

13402

13406

13408

13410

13414

13417

13424

13445

13463

13463

13479

13480

13482

13484

13487

13487

13489

13506

13 506

13507

13514

13518

13524

13525

13349

13527

13537

13559

13564

13573

13583

13588

y

8761 ;

13356 :

9663 «

9203 :

9673 «

11751 :

11419 :

8694 i

8133 «

14094 ;

7390 i

6711 :

Reference

i m

i m

i 1

l m

i jk

i q

9774 a

11134 ak

8466 <

6785 .-

10796

7613 .

12849 <

7769 .

8121

8973 .

8045

7258 .

8779

9168

12884

11213

12163

7471

9446

13313

7160

8016

9061

7442

10896

12577

13504

7906

8804

9205

11462

10565

10447

11641

12015

7454

7986

9064

13791

9104

9345

9877

4449

12373

7146

10294

10993

11187

6640

9928

8574

7178

13701

13124

8786

11474

4335

8498

10392

7398

6748

8226

13783

8665

8511

8081

i

i

i j t

i

i dk

i

i

i

i. d l

i

1

1

i dk

1

i dk

U k

% jk

i

i

i

i

i

i k

i dk

i m

>jk

*jk

1 q v

i m

i.

i d k

i

3.

1 U

1

a

3.

a u

a d k

a

a m

a m

a m

a

i.

3. U

a

a m

a m

a s

a m

a

a s

a

a

a

a

a m

a m

a m

a m

Results

C

C

C

C

C

C

E

C

V?

C

C

C

C

C

C

C

E*

C

C

cV?

C

V?

C

C

C

C

c

c

c

cV *

I

c

c

c

c

c*

cV

c

c

c

c

cnv

C

c

c

c

c

c

c

cn m

V *

C

C

C

C

C

C

C

C

C

C

L

C

V

I

n m *

n m

C

C

c

c

c

c
134

TABLE 2.—List of Harvard variables.—Continued

HV

1731

1732

1733

1734

1735

1736

1737

1738

1739

1740

1741

1742

1743

1744

1745

1746

1747

1748

1749

1750

1751

1752

1753

1754

1755

1756

1757

1758

1759

1760

1761

1762

1763

1764

1765

1766

1767

1768

1769

1770

1771

1772

1773

1774

1775

1776

1777

1778

1779

1780

1781

1782

1783

1784

1785

1786

1787

1788

1789

1790

1791

1792

1793

1794

1795

1796

1797

1798

1799

1800

1801

1802

1803

1804

1805

1806

1807

1808

X

13591

13593

13603

13606

13607

13613

13623

13624

13630

13634

13635

13640

13654

13666

13681

13692

13726

13726

13732

13741

13743

13747

13766

13771

13795

13812

13814

13824

13835

13844

13854

13856

13858

13867

13868

13893

13896

13898

13910

13919

13923

13926

13926

13935

13937

13946

13953

13967

13968

13980

13982

13983

13986

14027

14042

14046

14046

14054

14068

14071

14075

14085

14090

14093

14122

14125

14127

14133

14134

14139

14144

14146

14149

14168

14178

14191

14192

14193

y

8489 a

13434 a

12658 a

9766 a

9009 a

11673 a

10051 a

6538 a

Reference

1

m

d k

m

7905 a d k

9155 a

7906 i

10519 i

J k

d k

i b d k

9703 a

11504 a j k v

9609 a

76 59 a

7194 i

8074

11645 ;

10055 <

11462 i

8335

8114

9074

13686

7154

7484

9206

13825

6025

12156

10326

7267

11286

7160

9244

7532

11946

4760

8654

11117

7755

9166

9019

9285

10014

7343

9084

14789

7514

8499

7194

12834

8746

12444

9534

12266

14254

8790

9393

7722

7311

13204

6699

9386

10874

9176

8353

10140

10078

7525

10184

5603

10492

9618

10984

13701

8122

i m

i m

i m

i m

i m

1

 q

i

i j k

i

i m

i t

a. m

a

a m

a

a m

a

a d k o p v

a m

a m

a m

a

a m

a m

a m

a

a

a m

a g k

a

a m

a

a m

a u

a d k v

a m

a d k v

a

a m

a m o p

a

a

a m v

a

a m

a m

a m

a

a q

a

a

a

a m

a m

a

a m

a m

a m

Results

C

C

C

C

C

C

C

C

C

C

E

C

C*

C

C

c

c

c

c

c

c

c

c

c

c

c

c

c

V?

c

E

c*

V

C

C

c

c

c

c

c

c

c

c*

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c*

c

V ?

c

c

c

c

c

c

I

c

c

c

V

c

c

c

c

c

c

HV

1809

1810

1811

1812

1813

1814

1815

1816

1817

1818

1819

1820

1821

1822

1823

1824

1825

1826

1827

1828

1829

18 30

1831

1832

1833

1834

1835

1836

1837

1838

1839

1840

1841

1842

1843

1844

1845

1846

1847

1848

1849

1850

1851

1852

1853

1854

1855

1856

1857

1858

1859

1860

1861

1862

1863

1864

1865

1866

1867

1868

1869

1870

1871

1872

1873

1874

1875

1876

1877

1878

1879

1880

1881

1882

1883

1884

1885

1886

X

14201

14208

14212

14235

142 36

14237

14245

14247

14264

1426 5

14268

142 74

142 76

14286

14292

14295

142 97

14331

14395

143S3

14355

14360

14361

14366

14374

14375

14408

14408

14417

14424

1442 5

14428

14439

14444

14445

14453

14461

14462

14471

14515

14515

14536

14538

14548

145 52

14562

14593

14616

14626

14645

146 57

14664

14666

14673

14682

14685

14694

14694

14703

14706

14713

14724

14744

14754

14764

14774

14775

14794

14805

14813

14826

14826

14831

14835

14835

14836

14846

14847

y

12772 «

10618 a

11592 a

9144 a

10168 a

9019 a

9872 a

9097 i

10343 i

8988 <

7836 :

9066 i

4022

8915

7917

7794 .

12032

10624

12034

6028

10154

9640

7700

7387

8975

6173

9626

1 1672

8103

8464

6784

9774

9826

9489

6522

8425

6694

7556

8345

7415

12265

12333

6 582

8762

8904

8765

13199

7347

6654

11578

6397

12992

9404

8234

15095

7426

9784

11377

7774

11314

15059

7281

14984

8796

10718

10673

8266

11155

12128"

7585

6244

10720

9551

7275

15844

11765

9636

6884

Reference

m v

d k

i n

m

i n

i

m

i m o p

i m

i in

i 1

i d k v

i in

i d k v

i

i in

i m

d in

a j k m

a d k v

a in

a m

a

a

a

a m

a

a m

a

a

a m

a

a d k

a d k v

a

a m

a

a m

a m o p v

a

a

a dk v

a

a

a

a m

a

a

a s

a m

a

a m v

a

 g

a

a g k

a

a k v

a m

a m

a t

a j k v

a

a

a j

a

a

a g k

a j k v

a

a

Results

C

V

C

C

c

c

c

c:

c

cV

C *

c

c

c

c:

r*

c

c

c

c*

c*

V ?

c

c:

c:

c:

c

c

c

c

c

c*

c

c

c

c

c

c

c

c

c

c

c

c

c

c

V ?

c

E

c

nv*

c

c

c

L

C

c

c

c

V

c*

c

c

c

c

E

c

c

c

I

c

c

c

c

c

c
135

TABLE 2.—List of Harvard variables.—Continued

HV

1887

1888

1889

1890

1891

1892

1893

1894

1895

1896

1897

1898

1899

1900

1901

1902

1903

1904

1905

1906

1907

1908

1909

1910

1911

1912

1913

1914

1915

1916

1917

1918

1919

1920

1921

1922

192 3

1924

192 5

1926

1927

1928

1929

1930

1931

1932

1933

1934

1935

1936

1937

1938

1939

1940

1941

1942

1943

1944

1945

1946

1947

1948

1949

1950

1951

1952

1953

1954

1955

1956

1957

1958

1959

1960

1961

1962

1963

1964

X

14859

14871

14879

14888

14894

14904

14906

14909

14951

14980

14984

14999

15002

15004

1 5007

15014

15021

15023

15026

1 5041

1 5045

1 5074

15079

15086

1 5088

1 5090

15093

1 5100

151 14

15114

15114

15126

15129

15140

15144

15154

15164

15165

15167

15191

15194

15206

15214

15224

15226

15226

15234

15237

15240

15241

15258

15271

15281

152 92

15295

15308

15310

15327

15332

15338

15344

15355

15356

15356

15360

15394

15397

15397

15399

15406

15406

15417

15425

15436

15438

15474

15477

15497

y

71 54 a

7242 a

8824 a

14051 a

12540 a

13494 a

6312 a

6314 a

7004 a

56 30 a

15083 -.

13586 i

Reference

J k

ni

m v

m v

m

g k

i m v

7653 a

8589 a

14301 a

7746 a

1 1024 a q v

6385 a

12164 a m v

15486 a R k

14906 i

9553 ;

7394

7400 ;

7714

7514

i g k

6626 a

9106 a

6701 a

7673 a

9053 a j k

8223 a

14918 a g k

9583 a j k

7174 a

9514

11763

7895

10474

9677

9382

8887

1302 5

10008

8592

9090

12454

13381

10115

6828

9985

8684

8255

7504

7630

11224

8800

6845

12964

8817

10009

90 50

8054

12925

7998

9640

10347

11614

10684

10672

10672

14567

11105

7321

7266

11898

10365

8545

i

i m v

i

i j k v

i j k

i

i 1

i m v

i

i

i

i j k v

i m v

i

i

a

a

i

a

a

i m

i 1

i m v

a

a

a. m v

a r

a

a

i j k v

a

i j k s

a m

i g k

a m

a t v y

a s

a 1

Results

C

c

c

c

c

c

V

c

V

C

C

C

C

c

c

V

c

c

c

c

c

c

c

c

c

V

c

c

c

c

c

c

c

c

V

c*

c

c

c

c*

c

c

c*

c

c

c*

c

c*

c

c

c

c*

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

V

c

E*

L

c

HV

1965

1966

1967

1968

1969

1970

1971

1972

1973

1974

1975

1976

1977

1978

1979

1980

1981

1982

1983

1984

1985

1986

1987

1988

1989

1990

1991

1992

1993

1994

1995

1996

1997

1998

1999

2000

2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

2011

2012

2013

2014

2015

2016

2017

2018

2019

2020

2021

2022

2023

2024

2025

2026

2027

2028

2029

2030

2031

2032

2033

2034

2035

2036

2037

2038

2039

2040

2041

2042

X

15500

15534

15537

15546

15550

15554

15567

15567

15586

15586

15610

15624

15639

15649

15656

15668

15673

15712

15715

15718

15723

15725

15728

15740

15743

15750

15752

15754

15764

15785

15814

15830

15833

15844

15865

15875

15886

15893

15914

15946

15956

15966

15973

15976

15981

15984

16014

16016

16032

16054

16055

16066

16084

16092

16107

16108

16115

16116

16119

16119

16126

16134

16154

16160

16185

16190

16195

16200

16206

16207

16224

16233

16242

16254

16262

16291

16292

16302

y Reference

1062 4 a m

1 1626 a m v

1242 5 i

12724 ;

6969 :

13732 i

5683 ;

11301 <

7402 ;

11204

6556 <

14292

i j k v

i m

i m

l m

i m

i m v

i k

9473 a

12586 a m v

10030

8771

11206

i

i

i m v

1492 5 a g k

13715

7381

8214

11004

13150

6706

13763

6732

8055

4793

6134

11552

9213

9386

6333

12365

13820

11766

8214

13015

13986

10579

13484

7045

9313

8093

7146

9820

8062

7684

13554

13366

14776

11665

12832

8683

1 1707

7444

11878

12364

7452

8864

7557

10653

11392

8042

10138

8484

11343

7907

10062

6954

11586

7807

6865

9852

13824

10534

10637

9784

i m

i

i

i m v

i

i

i

i

i k

i m

i m v

i jk

a

a j t

a m

a m v

a

a d 1 m v

a

» q

i n

a

i

i

a

i

a

a

a m

a m v

a gk

i j t

a j k o p v

a d k

a m v

a

a m v

a q v

a

a d k

a

a m

a m v

a

a m

a d k

a m o p

a

a

a

a q v

a

a

a

a

a m

a m

a

Results

C

C

C

C

C

C

C*

C*

c

c*

c

c

I

c

c

c

c

c

c

c

c

V

c

c

V?

c

V?

c

c*

c

c

c

c

E

c

c

c

c*

V?

c

nv*

C

V?

C

C

C

I

c

c

c

c

E

C

C

C

C

C

C

c

c

c

c

c

c

c

c

c

I

V?

c

c

c

c

c

c

c*

c*

c
136

TABLE 2.—List of Harvard variables.—Continued

HV

2043

2044

2045

2046

2047

2048

2049

2050

2051

2052

2053

2054

2055

2056

2057

2058

2059

2060

2061

2062

2063

2064

2065

2066

2067

2068

2069

2070

2071

2072

2073

2074

2075

2076

2077

2078

2079

2080

2081

2082

2083

2084

2085

2086

2087

2088

2089

2090

2091

2092

2093

2094

2095

2096

2097

2098

2099

2100

2101

2102

2103

2104

2105

2106

2107

2108

2109

2110

2111

2112

2113

2114

2115

2116

2117

2118

2119

2120

X

16322

16324

16331

16342

16352

16360

16360

16366

16368

16386

16400

16403

16405

16413

16414

16437

16456

16478

16486

16504

16504

16505

16506

16532

16546

16574

16605

16619

16644

16644

16645

16646

16650

16662

16684

16689

16694

16703

16705

16715

16724

16733

16742

16749

16779

16784

16799

16804

16806

16808

16820

16824

16825

16827

16843

16845

16866

12881

16876

16906

16908

16922

16922

16931

16948

16961

16964

16965

16969

16991

17004

17011

17012

17034

17034

17049

17054

17054

y

13454

7305

13975

12721

8033

11846

12578

7345

9468

8589

1 3208

13284

14575

1 1258

13234

12 744

13345

11400

10244

9284

13178

10526

9966

10166

12 727

14204

10308

9915

4281

7771

10408

13004

9324

13614

9085

15713

10884

8678

10203

7644

7269

7566

13754

8236

11182

14526

8916

9406

5634

12632

9673

5426

10375

8074

8336

12871

7413

6953

9161

15132

8131

11642

12544

10426

14447

11327

13124

13444

4915

10164

10452

14436

14235

6234

13006

9048

10614

13027

Reference

a r

a

a m

a m v

a

a

a m v

a

a d k

a d k o p

a o p

a

a k

a

a

a

a

a j k o p v

a

a

a o p v

a j k s v

a

a n

a

a k

a

a

a

a

a

a

a d k

a o p

a d k

a g k

a

a d k

a o p

a

a

a j s

a o p

a d k

a

a k

a d k

a

a j n r

a t y

a

a

a

a d k

a d k

a

a

a

a d k

a g r

a d k o p

a

a s

a

a k

a

a

a

a

a s

a

a 1

a

a k

a

a d k

a q

a

Results

C *

C

C

C*

C

V

C

C

c

c

c

c

c

c*

c

c

c

c

c

c

c

c

c

I*

c

c

c

c

V

V?

V?

V

C

c

c

c

c

c

c

c

V

I

c

c

c

c

c

c

c*

E

c

V

c

c

c

c

c

c*

c

c*

c

c

I

I

c*

c

c

c

c

L

c

c

c

c

V?

c

c

c

HV

2121

2122

2123

2124

2125

2126

2127

2128

2129

2130

21 31

21 32

2133

2134

21 35

21 36

2137

2138

21 39

2140

2141

2142

214$

2144

2145

2146

2147

2148

2149

2150

2151

2152

2154

21 54

21 55

2156

2157

2158

2159

2160

2161

2162

2163

2164

2165

2166

2167

2168

2169

2170

2171

2172

2173

2174

2175

2176

2177

2178

2179

2180

2181

2182

2183

2184

2185

2186

2187

2188

2189

2190

2191

2192

2193

2194

2195

2196

2197

2198

X

1706 3

1706 5

17070

17074

17085

17093

1 7104

17108

17119

171 36

17148

17153

17177

17184

17194

17204

17245

1 7259

1 7264

172 94

17297

17303

17305

1732H

173 34

17335

17346

17347

17373

17394

17407

17413

17429

17468

17503

17507

17517

17523

17528

17543

17545

17582

17585

17585

17591

1762 3

17624

17634

17644

17651

17655

17667

17695

17706

17737

17748

17749

17774

17775

17776

17811

17842

17844

17846

17847

17859

17871

17945

17946

17958

18010

18097

18103

18132

18166

18203

18266

18292

y

10509

1 3338

9048

14912

91 14

10305

1 262 J

12055

1 3914

10772

14804

9105

9982

9924

9108

1424?

9104

I055H

12526

3766

9164

14794

9575

7851

8865

9220

9123

9076

14393

13934

14246

12082

10846

9744

9178

14807

9606

15495

9928

11582

1382 5

9664

8615

10799

13531

12606

10071

13477

14496

1 5414

842 3

12204

14324

14395

14668

11744

6965

9168

14454

11164

10664

11104

14649

7410

13865

14455

10335

132 70

10618

10518

12773

9554

9721

13999

9904

9922

7894

13683

Reference

a r

a q

a d k

a k o p

a d k

a

a o p

a o p

a

a

a k

a d k

a

a r

a d k

a k

a d k

a

a

a k

a

.i V

a

a

a d k

. i

a d k

a d k

a k

a

a k

a

a

a

a

a

a

a g k

a

a

a

a

a d k

a

a

a

a

a

a k

a g k

a

a

a 1

a k

a

a

a k

a

a

a

a

a

a

a k

a

a

a

a

a j k

a

a

a

a

a

a j r s x

a

a k

a

R.-sults

<;*

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

(.

c

c

c

c

<;

c

c

c

c

<:

c;

V?

C

c

V?

C

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

I

c

c

c

c

V?

c

c

c

c

V

c

c

c

c

c

c

c

c

c

V

c

c

c

c

c

c

c
137

TABLE 2.—List of Harvard variables.—Continued

HV

2199

2200

2201

2202

2203

2204

2205

2206

2207

2208

2209

2210

2211

2212

2213

2214

2215

2216

2217

2218

2219

2220

2221

2222

2223

2224

2225

2226

2227

2228

2229

2230

2231

2232

2233

2234

3610

4075

6320

6323

6334

6346

6354

6357

8008

8009

10353

10354

10355

10356

10357

10358

10359

10360

10361

10362

10363

10364

10365

10366

10367

10368

10369

10370

10371

10372

10373

10374

10375

10376

10377

10378

10379

10380

10381

10382

10383

10384

X

18298

18323

18338

18386

18386

18443

18513

18596

18615

18757

18774

18774

18846

18914

19034

19101

191 34

191 37

19205

19313

19314

194 56

19512

19604

19865

19943

201 58

20374

20661

20893

21018

21764

22120

22155

23178

23438

14809

10992

11241

11370

11445

11700

12096

12417

126 72

13359

14736

15201

152 46

15273

15381

15573

16004

16143

16332

16692

16765

16929

16947

16947

16992

17043

17139

17199

17211

17643

18219

18591

19539

y

14005

141 54

12444

9775

131 33

14295

6044

11161

1 3400

9824

6361

13394

10442

12149

13420

14174

4889

13836

9194

9207

1 342 5

8547

13333

8905

7166

10324

3833

7129

4305

10639

5414

8985

7120

7113

4830

10574

8606

8286

7875

8595

11379

8397

11055

9645

9261

9519

14991

9099

14487

14586

4461

14934

5086

4362

5679

4989

5895

14334

14439

15069

14832

14655

4956

14994

6348

6438

6264

7236

9993

Reference

a

a

a j k

a j k

a

a

a k

a

a

a t

a j k

a

a

a

a

a

a k

a

a k

a k

a

a J t

a

a j k

a j k

a j k

a k u

a t y

a k u

a s

a j k u

a j k

a j k u

a j s

a j k u

a j r

c

z

h

h

h

h

h

h

dd

dd

k

k

k

k

k

k

k

k

J k

k

jk

k o p

k

k

k

k

k

k

k

k

k

k

k

k

k

k

k

k

k

k

k

k

Results

C

C

C

C

C

C

C

C

C

E

C

C

C

V

C

I

c

c

c

c

c

E

c

c

c

c

c

E

C

I

c

c

c

I

c*

c*

n m

*

n m *

*

n m *

*

*

*

*

*

C

*

c

c

c

c

c

c

c

*

*

c

c

c

c

c*

c

c

c

c

c

*

c

c

c

c

c

c

c

c

c

c

H V

10385

10386

11112

11113

11114

11115

11116

11117

11118

11119

1 1 120

11121

1 1 122

11 123

11 124

1 1 125

11126

11127

11128

11129

11130

11131

11132

11133

11134

11135

1 1136

11137

11138

11139

11140

11141

11142

1 1143

11144

11145

11146

11147

11148

11149

11150

11151

11152

11153

11154

11155

11156

11157

11158

11159

11160

11161

11162

11163

11164

11165

11166

11167

11168

11169

11170

1 1 171

11172

11173

11174

11175

11176

1 1177

11178

11179

11180

11181

11182

11183

11184

11185

1 1186

11187

X

23535

5226

5820

67 38

8967

10365

10416

10430

10510

10531

10728

10735

10740

10839

10908

1092 5

10926

1 1059

1 1090

11118

11197

1 1238

11298

1 1370

11465

11481

11496

1 1515

11607

11693

1 1745

11748

11768

11770

11783

11880

11906

11932

11943

11974

11990

12063

12132

12156

12223

12300

12360

12373

12393

12408

12452

12486

12510

12511

12615

12633

12641

12644

12647

12705

12832

12923

12939

12942

13038

13248

13248

13344

13368

13377

13500

13659

13842

13887

14C76

14078

14112

y

9207

4920

3894

4581

5130

7713

8100

9273

8836

9084

8715

7959

8430

9078

5466

9188

8955

9350

9290

8544

8705

8100

8388

10770

9034

7808

9120

9096

8682

8908

8913

8508

8909

9146

7784

7458

8752

8486

7829

7448

7990

7552

5859

8700

8976

9096

12804

8856

9192

6108

8768

8013

1629

8204

8262

9318

7583

8447

8940

12897

8812

8309

881 5

9522

9564

4416

12216

8481

4692

8895

8370

12252

13284

8559

8190

8643

14016

Reference

k

k u

m u

m u

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m s

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m

m v

m n

m

m

m

m

Results

C

n m

C

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c*

*

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

*

c

c

c

V?*
138

TABLE 2.—List oj Harvard variables.—Continued

HV

1 1 188

111 89

11190

11191

11192

11 193

11 194

1 1195

11 196

11 197

11198

11199

11200

11201

11202

11203

1 1204

11205

11206

11207

11208

11209

11210

11211

11212

11213

11214

11215

11216

11217

11218

11219

11220

11221

11222

11223

11224

11225

11226

11227

11228

11229

11230

11231

11232

11233

11234

11235

11236

11237

11238

11239

11240

11241

11242

11243

11244

11245

11246

11247

11248

11249

11250

11251

11252

11253

11254

11255

112 56

11257

11258

11259

11260

11261

11262

11263

11264

11265

X

14146

14293

144 36

14445

14586

14610

14712

14767

14883

15654

15714

15792

15846

15849

15924

15963

16164

16299

16326

16623

16797

16860

3462

42 30

4494

4632

4782

5388

5748

5796

6006

6471

6825

7014

7098

7098

7542

7554

7722

7968

8064

8958

9177

9186

9261

9315

9396

9747

9762

9768

9813

9828

9840

9945

10104

10123

10176

10187

10437

10470

10542

10633

10650

10730

10794

10824

10854

10869

10896

10937

10962

10995

10998

11063

11072

11088

y

8380

9612

13727

13755

13086

12378

8520

9087

89 34

13 392

12192

12960

6102

12327

9564

10830

10326

10845

12828

10242

11985

13860

142 32

6204

6114

6798

6390

6384

7458

5985

6966

5805

5529

7215

5058

17478

12168

6330

6882

17634

6918

9684

9567

10332

7834

6639

10128

6201

9465

8907

7665

8796

12162

6264

14394

5249

9822

8627

9062

2754

8256

9050

9129

7691

13836

7638

8298

6711

10458

6735

10389

8789

8556

8058

9454

10020

Reference

m

m

m

m

m v

m v

m

m

m

m n v

m v

m v

m

m

m

m

m

m

m o p v

m

m

ni

m u

m u

n r

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n u

n

n

n

n

n

n

n

n

n s

n t

n

n

Results

C

V?

C

C

C

c

c

c

c

c

c

c

c

c

c

c

c

c

c

c

cnm

nm

C*

V?

V

nv

C

V?

nv

nv

nv

nv

C

L

nv

nv

C

V?

V?

C

C

V?

nv

C

C

C

nv

C

C

C

C

nm

C

V

nv

C

I

V

C

I

nm*

C

I

C

nv

n m

V

C

c

c

c

n m *

I

C

cnv

HV

11266

1267

1 1268

1 1269

11270

11271

11272

11273

11274

1 1275

1 1276

11277

1 1278

11279

1 1280

11281

11282

1 1283

11284

11285

11286

11287

11288

1 1289

1 1290

11291

11292

11293

1 1294

1 1295

11296

11297

11298

1 1299

1 1300

11301

11302

11303

11304

11305

11306

11307

11308

11309

11310

11311

11312

11313

11314

11315

11316

11317

11318

11319

11320

11321

11322

11323

11324

11325

11326

11327

11328

11329

11330

11331

11332

11333

11334

11335

11336

11337

11338

11339

11340

11341

11342

11343

X

1 1 129

1 1 148

1 1157

11193

1 1193

11212

1 1220

1 1274

1 1283

1 1292

1 1 306

1 1306

11328

11382

1 1 394

1 1466

11478

1 1494

11514

11520

1 1 535

1 1628

1 1632

1 1646

1 1682

11794

11810

11811

11825

11829

1 1868

11942

11948

11987

12005

12036

12042

12090

12099

12126

12149

12170

12172

12204

12232

12239

12271

12303

12306

12330

12333

12372

12376

12376

12394

12406

12438

12441

12493

12498

12513

12535

12564

12591

12597

12660

12670

12 744

12786

12788

12821

12858

12986

13051

13059

13070

13086

13096

y

8783

8280

81 31

654 i

10368

9055

10170

4872

10182

10188

8202

8919

10542

8990

9389

10566

10323

8371

9378

8280

9381

10182

9058

9387

6582

8277

7883

7767

9198

9324

1 3074

921 7

8123

8100

8634

7826

8324

1 3890

9360

1 1055

9436

7910

7790

9648

7492

8580

9039

7977

11976

9702

10779

8142

7398

8906

8830

11289

9687

10803

8786

7400

14313

8123

8451

9327

13662

14793

7995

7745

19002

9368

8392

8829

9040

9749

942 5

10226

12990

9081

Reference

n

n

n

n

n

n

n

n

n

n

n

ii

n

n

n b

n

n

n

n t

n

n

n

n

n

n

n

n

n

n

n s

n

n u

n u

n u

n

n t

n

n s

n

n

n

n u

n t

n

n

n

n

n

n

n t

n

n

n

n

n

n t

n

n

n

n

n

n

n

n s

n

n

n

n

n

n

n

n

n

n

n

n

n q

n

Results

nv

V

V

V?

V

c:V

C

I

C

V

c

Vc

1

V

V

C

F.

n\

C~

C

V

C

nv

V

I

nni*

V?

1.

C

c;

c:

C

c:

E

C

L

C

nv

C

C

E

V?

V?

c

f

f

nv

E

nv

n m

V

nv

C

E

V

V

C

V

nv

C

V

L

I

V?

C

nv

nv

C

V?

I

c

c

V

c

c

V
139

TABLE 2.—List of Harvard variables.—-Continued

HV

1 1 344

1 1 345

1 1 346

1 1347

1 1 348

11 349

1 1350

1 1351

1 1352

1 1353

1 1 354

1 1 355

11356

11357

1 1358

1 1 359

1 1 360

11361

11362

1 1 363

11364

11365

1 1 366

11367

1 1 368

1 1 369

11370

1 1371

11 372

11373

11374

11375

11376

11377

11378

11379

1 1380

11381

11382

11383

11384

11385

11386

11387

11388

11389

11390

11391

11392

11393

11394

11395

11396

11397

11398

11399

11400

11401

11402

11403

11404

11405

11406

11407

11408

11409

1 1410

1 1411

1 1412

11413

1 1414

11415

11416

11417

11418

11419

11420

11421

X

13098

13128

131 30

1 3148

13158

13200

13205

13206

13233

13234

13287

132 90

132 96

13302

13317

13323

13335

13344

13344

13354

13400

13440

13473

13500

13518

13518

13 566

13576

13578

13596

13599

13600

13602

13602

13641

13651

13651

13657

13662

13712

13717

13724

13731

13743

13748

13773

13960

13991

14000

14003

14044

14100

14137

14134

14157

14160

14163

14193

14193

14212

1422 5

14246

142 52

14278

14289

14322

14352

14392

14319

14337

14366

14421

14442

14455

14460

14472

1447 3

14508

y

92 76

9294

10166

10356

10965

7908

10310

12738

6210

10391

9186

9228

8751

13122

10912

9723

82 38

9394

10604

9942

10812

13284

11658

14010

9931

11064

9198

12092

10456

11508

9764

12901

7182

12861

10692

9660

10824

10717

8135

10812

10939

9582

6210

9457

8995

9993

9952

10142

10589

92 58

9910

15528

10166

10466

10443

12901

10944

9318

11544

10049

9948

9363

9942

9580

7740

6432

8244

9725

10484

10169

10521

9838

6957

9404

9739

7926

10114

6702

Reference

n

n t

n

n

n

n

n

n

n

n

n

n

n

n q

n q

n

n

n

n

n

n

n q

n

n

n

n q

n

n

n

n s

n

n

n

n q

n

n t

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n q

n

n q

n

n q

n s

n s

n

n

n

n

n

n

n

n

n

n

n

n q

n

n

n s

n

n

n

n

Results

v

E

V?

C

V

nv

C

I

C

V

V

V

V?

C

C

C

V

V

V

C

V

C

L

C

C

C

C

V

C

I

C

C

C

c

c

E

V

C

V

C

C

C

c

nm

C

I

C

V

V

V

C

nv

C

I

c

V?

C

L

I

V

C

IV

r?

C

C

C

n m

C

C

V

E

HV

1422

142 3

1424

1425

1426

1427

1428

1429

1430

1431

1432

1433

11434

11435

11436

1 1437

11438

11439

11440

11441

1 1442

11443

1 1444

11445

11446

11447

11448

11449

11450

11451

11452

11453

11454

11455

11456

11457

11458

11459

11460

11461

11462

11463

11464

11465

11466

11467

11468

11469

11470

11471

11472

11473

11474

11475

11476

11477

11478

11479

11480

11481

11482

11483

11484

11485

11486

11487

11488

11489

11490

11491

11492

11493

11494

11495

11496

11497

11498

11499

X

14598

14622

14634

14673

14676

14679

14687

1470 5

14715

14726

14751

14790

14814

14818

14844

14850

14864

14867

14872

14875

14880

14943

14969

15078

15000

15042

15069

15102

15104

15147

15159

15168

15177

15186

15222

15252

15208

15294

15312

15337

15357

15378

15393

15423

1542 5

15436

15489

15522

15525

15 546

15582

15585

15603

15615

15626

15630

15630

15696

15729

15757

15810

15870

15927

1592 7

16044

16179

16329

16338

16440

16440

16584

16622

16638

16650

16704

16841

16860

16860

y

8124

13830

11694

1462 5

6261

9564

9760

9149

16731

9760

9477

5604

7797

10500

8988

6300

9055

9801

9344

8871

14328

14964

8836

15132

4422

8922

6450

1486 5

9916

7407

6864

8988

8784

12363

13404

12945

12650

6227

9660

9675

9045

14292

9438

9858

9822

9243

9900

4416

10554

6900

14652

9096

9321

10896

10651

5610

9477

8340

7893

9665

9216

11865

10860

14244

8571

8817

9522

8034

8772

11073

8028

15306

9720

6600

7710

7807

8691

9294

Reference

n

n s

n

n

n

n s

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n s

n

n

n q

n

n

n

n

n

n

n s

n

n

n

n

n s

n

n

n

n

n

n

n

n

n

n

n

n

n q

n q

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

Results

nv

I

V

I

C

L

V

C

nv

V

V*

V?*

V

C

C

V?

C

V

V

C

nm

C

V

V

c

C

V?

V?

C

C

L

nv

V?

I

*

V?

C_ **

V

C

V

*

C

I

I

cV

V?

V

I

V?

C

C

n m

nv

V

nv

C

C

V?

V

C

C

C

c

c

c

c

c

c

c

c

nv

c

c

c

c

c

c

797-819 O—€
140

TABLE 2.—List oj Harvard variables.—Continued

HV

11500

11501

11502

11503

11504

11505

11506

11507

11508

11509

11510

11511

11512

11513

11514

11515

11516

11517

11518

11519

11520

11521

11522

11523

11524

11525

11526

11527

11528

11529

1 1530

11531

11532

11533

11534

11535

11536

11537

11538

11539

11540

11541

11542

11543

11544

11545

11546

11547

11548

11549

11550

12082

12083

12084

12085

12086

12087

12088

12089

12090

12091

12092

12093

12094

12095

12096

12097

12098

12099

12100

12101

12102

12103

12104

12105

12106

12107

12108

X

16908

16926

16959

16974

17136

17139

17142

17154

17205

17235

172 38

17304

17334

17343

17394

17397

17508

17694

17880

17934

17943

18018

18060

18138

18186

18318

18402

18492

18504

18528

18570

18606

18720

18729

18822

18903

18972

18987

19026

19122

19161

19221

19350

19653

19662

19788

22146

10980

11340

11466

11580

11670

11712

11802

12018

12048

12048

12090

12144

12144

12192

12234

12288

12288

12312

12348

12 348

12372

12402

12432

12516

12534

12552

12606

y

13773

14358

13068

9108

8700

9477

7641

5820

6690

10899

6846

12444

14613

6045

7008

14550

11757

12468

5748

9933

101 19

9546

14526

11616

10431

12762

3768

13230

13062

132 42

14109

12720

11472

7038

13281

11304

5001

9999

11037

10782

10338

10284

11850

7647

11922

14910

9267

10044

11034

10014

10200

11052

11598

10956

16032

10332

11568

10320

10422

10608

10510

10134

9918

12012

11748

102 30

11424

10368

10776

10170

10098

10092

10440

10848

Reference

n q

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n

n s

n

n

n

n

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q t

q

q

q

q

q

q

 r

Results

C

I

C

v

* nrn

v

v

V

nv

V

I

C

V

v

V

V?

c

I

C

C

C

V?

C

cV

V?

C

C

V

C

I

cV

C

i

C

I

V?

I

C

C

C

V?

C

I

I

n m

n m

n m

n m

C

n m

C

v*

V

V

C

c

c

c

c

cV

n m *

V?

C

C

nv

C

C

E

f

V

V?

C

C

c

HV

12109

12110

12111

12112

12113

12114

121 1 5

12116

12117

12118

121 19

12120

12121

12122

12123

12124

12125

12126

12127

12128

12129

12130

12131

12132

121 33

121 34

12135

12136

12137

12138

12139

12140

12141

12142

12143

12144

12145

12146

12147

12148

12149

12150

12151

12152

12153

12154

12155

12156

12157

12158

12159

12160

12161

12162

12163

12164

12165

12166

12167

12168

12169

12170

12171

12172

12173

12174

12175

12176

12177

12178

12179

12180

12181

12182

12183

12184

12899

12900

X

12636

12696

12702

12732

12810

12828

12846

12870

12 906

12906

12912

12948

12948

12966

13092

13122

1 3158

1 3212

13224

1 32 30

1 3242

13266

1 3257

1 3278

1 3 302

1 3350

1 3368

1 3 380

1 3440

1 3488

1 3518

1 3626

13674

1 3698

13776

13788

13842

13848

13866

13932

13968

14034

14046

14052

140 52

14064

14094

14112

14136

14178

14190

142 50

14292

14298

14442

14502

14502

14508

14550

14688

14802

15006

15042

15078

15084

15198

15408

15432

15444

15654

15702

15768

15792

15834

15924

16002

3618

5358

y

1 1 568

9672

10200

10572

1 1658

9852

10788

10554

10854

1 1970

10771

10104

10488

12156

10872

1 1238

102 72

9858

1 1214

10446

1 1 172

10200

1 1289

1 12 52

1006 8

1 1652

12588

10512

10038

10494

10008

1 1 394

10260

1 102 8

9942

1 1052

11448

1 1766

11406

11832

11370

10938

12198

11442

12144

11070

11172

11478

10758

12384

10884

11772

12036

11562

12288

11238

11916

12066

12048

11424

11814

11706

11418

12138

11664

10758

11592

11358

12600

11496

12042

12258

11088

10854

11028

11292

5418

4500

Reference

q

q

q

q

q

q

<\

<i

q

q

q

q

q

q *

q

q

q

q

q

q

q

q

q

q

q

q

'i

q

q

q

q

q

q

q

q

q

q

q

q

q

q a

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

q

u

u

Results

C

V

E

C.

C

*

1.

C

c

c1

V

cV

nm

C

C

C

C

*

I

cI

cnrn*

V?

C

C

f

V

V

n m

C

L

n m

C

V?

c

*

V

C

c

c

f

f

c

V

c

c

c

c

V

c

V?

v?*

V

L

V

C

V

V?

n v

r

f
141

TABLE 2.—List of Harvard variables.—Continued

HV

12 901

12902

12903

Noval951

Noval951

No. 12

12912

12913

12914

12915

12916

12917

12918

12919

12920

12921

12922

12923

12924

12925

12926

12927

12928

12929

12930

12931

X

8688

96 30

11784

7760

15424

52 88

8258

8916

9265

9388

10004

10110

10902

11078

11209

11276

11311

11683

11700

11869

12024

12364

12634

12710

12886

y

142 32

1902

5806

7890

16704

4778

5087

9835

5562

5260

5551

5289

10369

10375

7034

7044

7031

6951

8506

6512

7041

8826

7985

10611

7926

Reference

u

u

u

b b

c c

g

Results

C

C

n m

n m

n m *

C *

c

c

c

c

c

I

c

c

c

c

c

c

I

c

E

c

c

c

c

c

HV

12932

12933

12934

12935

12936

12937

12938

12939

12940

12941

12942

12943

12944

12945

12946

12947

12948

12949

12950

12951

12952

12953

12954

12955

12956

12957

X

13084

13166

13278

13627

1382 5

13957

13963

14147

14199

14280

14305

14307

14426

14454

14498

14663

14709

14893

152 58

16521

16611

16720

16787

16834

17050

17228

y

6042

7637

13504

8091

7507

9590

7213

8387

9718

7760

13533

13548

7952

6671

9762

7888

9817

14863

11791

10603

12162

6690

6415

9206

14774

5705

References Results

C

C

C

C

C

C

C

I

C

C

C

C

C

C

E

C

E

C

C

C

C

C

C

C

L

C

NOTES—Continued from page 130

2056=TU Tuc

2066 Earlier Harvard work concluded "not variable'

2091=HV 8009=AL Tuc

2100 Published coordinates in error

2102=AI Tuc

2107=HV 10374

2121=AK Tuc

2233=RZ Hyi

2234=WZ Hyi

4075=HV 833=HV 8008=TZ Tuc

6320=R Hyi

6323=HV 809=UX Tuc

6334=Nova Tuc 1927=VZ Tuc

6346=HV 860=RS Hyi

6354=HV 864=RY Hyi

6357=HV 865= ST Hyi

8008=HV 833=HV 4075=TZ Tuc

8009=HV 2091=AL Tuc

10354=HV 1454

10362=HV 1871

10363=HV 1932

10368 Published position incorrect

10374=HV

11140=HV

2107

11141; in spite of difference of published

coordinates the stars seem to be the same

11141=HV

11183=HV

11140

841

11187 Published period not verified

11189=HV 11407

11190 Published period not verified

11212=AD

11407=HV

11456=HV

11462=HV

12113=HV

12121=HV

12135=HV

12161=HV

No. 12=No.

Tuc

11189

1934

1938

1615

1629

1690

1825

12 in NGC 362, no HV number

REFERENCES FOB TABLE 2

a. LEAVITT, H. S.

1906. 1777 variables in the Magellanic Clouds. Ann. Harvard Coll. Obs., vol. 60, pp. 87-108.

b. PICKERING, E. C.

1912. Periods of 25 variable stars in the Small Magellanic Cloud. Circ. Harvard Coll. Obs., no. 173, 3 pp.

c. SHAPLEY, H.

1922. The absolute magnitude of cluster type variables. Bull. Harvard Coll. Obs., no. 765, 4 pp.

d. SHAPLEY, H.; YAMAMOTO, I.; and WILSON, H. H.

1925. The Magellanic Clouds, VII: The photographic period-luminosity curve. Circ. Harvard Coll.

Obs., no. 280, 8 pp.

e. MOHR, J., and HOFFLEIT, D.

1931. New periods for variables in the Small Magellanic Cloud. Bull. Harvard Coll. Obs., no. 882, pp.

20-23.

f. SHAPLEY, H., and MORSE, A.

1932. A study of forty-two variable stars in the Small Magellanic Cloud. Bull. Harvard Coll. Obs., no.

886, pp. 12-14.
142 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. O

f. SAWYER, H. B.

g. 1931. Periods and light curves of thirty-two variable stars in the globular clusters NGC 362, 6121, and

6397. Circ. Harvard Coll. Obs., no. 366, 36 pp.

g. 1932. Periods and light curves of twenty-two variable stars in the northern border of the Small Magellanic

Cloud. Circ. Harvard Coll. Obs., no. 374, 16 pp.

h. SHAPLEY, H., and HUGHES, E. M.

1934. Variable stars in high galactic latitudes. Ann. Harvard Coll. Obs., no. 90, pp. 163-175.

j . HOFFLEIT, D.

1935. New periods for variable stars in the Small Magellanic Cloud. Bull. Harvard Coll. Obs., no. 900,

pp. 3-9.

k. SHAPLEY, H., and MCKIBBEN, V.

1940. A summary of the periods and median magnitudes of Magellanic Cloud Cepheids. Circ. Harvard

Coll. Obs., no. 439, 5 pp.

1. SHAPLEY, H.

1940. Galactic and extragalactic studies, VIII: A new determination of the period-luminosity curve.

Proc. Nat. Acad. Sci., vol. 26, pp. 541-548.

m. MCKIBBEN, V.; CRAIG, R. A.; and WRIGHT, F. W.

1942. Periods for 307 variables in the Small Magellanic Cloud. Circ. Harvard Coll. Obs., no. 444, 4 pp.

n. NAIL, V. McK.

1942. Three hundred and thirty-nine new variable stars in the Small Magellanic Cloud. Ann. Harvard

Coll. Obs., no. 109, pp. 27-30.

o. SHAPLEY, H.; CARLSTON, A. S.; and NAIL, V. McK.

1948. The light curves of forty-nine selected Cepheids in the Small Magellanic Cloud. Ann. Harvard

Coll. Obs., no. 109, pp. 47-56.

p. SHAPLEY, H., and NAIL, V. McK.

1948. Cepheid variable stars in the Small Magellanic Cloud. Proc. American Phil. Soc, vol. 92, pp.

310-323. Also Harvard Reprint Ser. II, no. 25.

NAIL, V. McK.

q. 1949. List of 103 new variable stars and 28 periods in the Small Magellanic Cloud. Bull. Harvard Coll.

Obs., no. 919, pp. 6-8.

r. 1951a. Three notes on variable stars in the Small Magellanic Cloud. Bull. Harvard Coll. Obs., no. 920,

pp. 13-15.

r. 1951b. Variables in the globular cluster 47 Tucanae. Bull. Harvard Coll. Obs., no. 920, pp. 15-16.

SHAPLEY, H., and NAIL, V. McK.

s. 1951. Magellanic Clouds, II: Supergiant red variable stars in the Small Cloud. Proc. Nat. Acad. Sci.,

vol. 37, pp. 138-145.

t. 1953. Magellanic Clouds, V: Fifty eclipsing stars. Proc. Nat. Acad. Sci., vol. 39, pp. 1-5.

u. 1955. Magellanic Clouds, XVII: Seven notes on the Cepheid variables. Proc. Nat. Acad. Sci., vol. 41,

pp. 829-836.

v. ARP, H. C.

1960. Southern hemisphere photometry, VIII: Cepheids in the Small Magellanic Cloud. Astron. Journ.,

vol. 65, pp. 404-444.

w. FEAST, M. W.; THACKERAY, A. D.; and WESSELINK, A. J.

1960. 47 Tucanae: the membership of two RR Lyrae variables. Monthly Notices Roy. Astron. Soc,

vol. 120, pp. 64-71.

x. GASCOIGNE, S. C. B., and KRON, G. E.

1964. Photoelectric observations of Magellanic Cloud Cepheids. Private communication (preprint).

SHAPLEY, H., and MCKIBBEN, V.

y. 1942a. Note on the variable stars in the center of the Small Magellanic Cloud. Bull. Harvard Coll. Obs.,

no. 913, pp. 1-2.

y. 1942b. Eclipsing stars in the Magellanic Clouds. Bull. Harvard Coll. Obs., no. 916, pp. 19-20.

z. GERASIMOVIC, B. P.

1927. Thirty-two new variable stars. Bull. Harvard Coll. Obs., no. 853, 12 pp.

aa. BAILEY, S. I.

1902. Positions of stars. Ann. Harvard Coll. Obs., vol. 38, Appendix, pp. 237-238.

bb. HENIZE, K. G.; HOFFLEIT, D.; and NAIL, V. McK.

1954. Magellanic Clouds, XI: Survey of the novae. Proc. Nat. Acad. Sci., vol. 40, pp. 365-372.

cc. SMITH, H. J.

1954. Magellanic Clouds, XII: Observations of a nova in the Small Cloud. Proc. Nat. Acad Sci., vol.

40, pp. 372-373.
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 143

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods)

HV Published P Period Normal Maxima M ( m) Obs.

809

11212

12899

810

811

813

11216

11112

12912*

814

11113

1323

11114

1324

11222

11223

1325

1326

1327

1328

1329

11226

1330

1331

11229

1332

11230

1333

1334

12913*

1335

817

815

12901

1337

1338

820

1339

1340

816

12914*

11115

1342

1343

1344

1345

11233

1346

1347

818

1348

11234

12915*

1349

1350

1907

3462

3618

4205

4298

4585

4782

5226

5288

5586

5820

6639

6738

6762

6825

7014

7062

7342

7366

7374

7460

7542

7582

7642

7968

8025

8064

8199

8214

8258

8417

8511

8564

8688

8706

8724

8774

8782

8806

8842

8916

8967

9027

9054

9162

9175

9186

9189

9216

922 0

9240

9261

9265

9275

9303

9287

14232

5418

11520

12295

11774

6390

4920

4778

11440

3894

5040

4581

6237

5529

7215

6290

7194

11187

5606

12545

12168

7884

7324

11634

6216

6918

5276

5859

5087

5266

12207

5186

14232

4904

5752

17366

7694

6624

5244

9835

5130

6013

9175

7062

7940

10332

5650

7506

6297

7700

7834

5562

9334

8425

0. 50909

0.60622

1. 6906

0.73652

Irr.

Irr.

6. 6774

0. 37143

3.21393

10. 74

2.7141

1.7155

6.0226

1 3. 732

15.8396

16.289

9. 45144

14. 3806

18. 900

5.79478

1. 166

3.6767

8.4933

6. 295

2.45889E

7.94085

2.7700

17. 93849

13.5

66. 93E

10. 33506

0. 509104*

0. 606228

1.662748

0. 736327*

Irr.

Irr.

3.114799

6.611559

0.885430

0. 371546*

3.213946

10. 560554

2.711953

6.663735

1.253912

407:

1. 853472

13. 7274

0.726109*

15. 840831

3. 439606

1.853118

2.001986

3.579654

0. 584136

2.416883

3. 141217

16.289

9. 451439

3.277872

14. 3806

18. 892520*

5.794683

15. 074089

3.676525

8.493446

5.200560

3.489208

2.458916E

7.94085

1.205423

2.769930

17.938507

4. 915696

1.730957

13.476726

3.075267

66. 93E

2.232631

10.33506

2.248030

2.017850

3.068595

615:

1.526946

31639.636

29926.240

32852.400

32879.373

32537.270

27750. 478

23654.886

31296.478

29489.442

26177. 587

25890

24824.624

32846.275

32011. 598

24761.721

29874.456

32503.365

23340.676

31290.495

26626.464

33172.348

32062.363

13888.576

24363.898

23344. 791

26547. 584

32053.587

31293.486

16754. 598

26546.594

32860.391

26310.310

31327.456

29958.306

31681.542

26945.391

32879-326

32861.343

27253.625

26594.456

16755.544

24684.863

26304.269

34689.458

34689.263

30673.250

29869

29896.383

13. 51

15.40

16. 89

13.45

14. 00

12.40

16. 51

15. 70

17.24

13.99

16. 37

14. 99

15. 90

15. 88

17.21

16. 45

17. 07

14. 95

16. 00

14. 32

16. 13

16. 92

16. 72

15. 96

16. 31

16.47

16. 72

14. 59

15. 03

16.23

14. 65

13.63

15. 86

17. 16

15. 94

16. 00

15. 80

16.34

16.45

16. 06

17.40

16. 80

14.43

15. 85

16. 93

14. 56

16. 94

15. 86

17.20

15. 18

16.72

17. 18

16.29

15. 88

17. 34

14. 68

15. 87

17. 80:

14.63

15. 00

14. 10

17. 18

16. 92

17. 76:

14. 68

17.45

16.25

17.68

16.28

17. 85

17. 55

17. 50

15. 97

16. 88

16. 00

16. 97

17. 86

17. 93

17. 32

17.29

17. 36

17. 50

16. 07

16.36

17.46

15. 98

15. 04

16. 98

17. 80

17.52

16. 87

17. 08

17.44

17.37

16. 97

18.02

17.24

15.22

17. 00

17.92

15. 54

17. 54

17. 73

18. 01

16. 05

17.40

18.01

17. 51

17. 85

18.20

14.29

15.64

17. 39

14.20

id. 95

16. 51

17.49

14. 34

16.99

15.64

17. 13

16. 09

17.53

17.29

15.29

16.60

15. 35

16.70

17. 54

17. 52

16. 72

16. 94

17. 06

17.29

15. 54

15.80

17. 07

15.51

14. 50

16.60

17.40

17. 10

16.45

16. 57

17. 06

16.57

17. 84

17. 08

14.90

16.65

17.61

15. 14

17.33

17. 72

15.71

17. 14

17. 72

17.09

17.92

1.17

0.47

0. 91:

1. 18

1. 00

1. 70

0.67

1.22

0. 52:

0. 69

1. 08

1.26

1. 78

0.40

0.64

1. 10

0.43

1. 02

0. 88

1.68

0. 84

0.94

1.21

1.36

0. 98

0. 89

0.78

48

33

23

33

41

12

0. 64

1.58

0. 87

1.28

1. 10

0.92

0. 91

0.62

0.44

0.79

1. 15

0.99

0. 96

0.60

1. 87

0. 81

0. 87

0.68

0.83

1.22

1.97

0. 86

14.25

15.61

17. 33

14. 16

16.91

16.43

17.46

14.29

16.92

15. 56

17. 01

16. 06

17.49

17.23

15.22

16. 54

15.24

16.64

17.48

17. 43

16.61

16. 87

17. 0C

17.24

15.44

15.71

16.99

15.42

14.40

16.52

17.36

16.99

16. 39

16.48

16.99

16.51

17.80

17.05

14. 85

16. 57

17.54

15. 07

17.29

17.67

15.65

17. 09

17.66

17.01

17.86

480

434

142

412

481

487

365

473

176

505

319

512

400

454

352

437

282

461

466

520

456

343

307

459

360

426

444

525

518

441

527

533

500

279

464

515

437

416

518

514

325

433

539

510

344

524

457

517

327

527

375

321

472

347

262
144 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

H V

11235

819

1351

1352

12916*

1353

1354

1355

1356

1357

1358

1359

1360

1361

821

1362

822

1363

1364

1365

12902

1366

1367

11237

1369

11238

11239

11240

1371

11242

1372

1373

1374

1375

1376

1377

1378

1379

1380

1381

1382

1383

1384

1385

12917*

1386

1387

1388

1389

823

1390

1391

12918*

1392

11245

X

9315

9326

9358

9361

9388

9394

9406

9406

9425

9479

9486

9497

9507

9544

9570

9574

9581

9585

9586

9594

9630

9687

9705

9747

9758

9762

9768

9813

9827

9840

9866

9876

9884

9885

9887

9894

9898

9913

9922

9935

9952

9967

9974

10003

10004

10022

10035

10036

10049

10077

10084

10104

10110

10119

10123

y

6639

6146

6836

5322

5260

8698

6785

7445

5556

8136

8164

8472

8932

7225

6141

7680

6805

6565

8995

6124

1902

9062

8040

6201

8337

9465

8907

7665

9344

12162

7601

8774

6726

5706

5659

7554

9518

8062

8894

8317

7916

5536

8362

8884

5551

7574

7584

8094

10794

6567

9641

9335

5289

9679

5249

Published P

28.4

13.08440

3.8095

2. 14

7.483

3. 7464

127.99

16.75

12.414156

1. 13

. . .

31. 0

• . .

8. 397

510.2

2.6341

1.67

. . .

31. 925

2. 5775

Period

2. 133454

28.443029

13.084381

3.8095

3.270539

1.440349

2.306268

7.483014

3.737912

2.166298

1.998761

1.390069

2.747562

2.474574

127. 78

8. 844470

16. 742006

10.676233

1.754284

12.413262

1.130463

293.2

2.011372

4.388429

31. 024

0. 618163

1.587728

6.228822

1.445072

1.669240

15.774115

13.709335

8.396235

512

2.638279

10. 528089

2.403286

3.909380

1.699143

3.262293

10. 883998

1.627652

3.620437

1.903428

Irr.

14. 428973

4. 896944

4. 654453

1.439027

31. 925

1.934955

2.577499

1.707335

1.696379

1.666819

Normal Maxima

23344.791

31799. 349

32037. 518

29135.403

34685.415

28804.379

31757.240

29902. 361

24352. 826

21816.787

30593.593

27707.376

26502.700

32797.400

29849.448

31291. 479

27746.529

32846.275

33073.647

34682.429

29808.570

29808

23341.590

29877.448

24332.829

25850.393

31436. 340

26572.516

30521.643

31998.632

30548.613

29566.245

31610.648

26508

32135.248

29778.637

32879.383

27653.590

23596.901

29870.451

30885.633

26504.653

32466. 394

29911.283

29468. 565

23974.863

29566.245

31681.542

14604. 612

16754. 598

31642. 644

30920.612

32135.248

31610. 648

M

16. 78

14. 47

14. 79

16. 43

16. 43

17. 13

16. 84

15. 52

16. 44

16.62

16. 60

17. 49

16. 39

16.62

12. 52

16. 30

14. 34

15. 74

17. 37

15. 35

16. 54

16. 64

16. 78

16. 48

14. 85

17. 16

17. 71

15. 66

17. 16

17. 06

15. 04

15. 63

15.44

16. 50

16. 57

14. 98

17. 32

16. 14

17. 07

15. 94

15. 60

17. 34

15. 87

16. 87

16. 13

15. 56

15. 97

16. 32

16. 99

13. 68

16. 88

16.24

17. 96

16. 86

17. 76

m

17.

15.

16.

17.

16.

17.

18.

16.

17.

17.

17.

18.

17.

17.

13.

16.

16.

16.

18.

16.

17.

[18.

17.

17.

15.

17.

18.

16.

18.

17.

16.

16.

16.

[18.

18.

16.

17.

17.

17.

17.

17.

17.

16.

17.

17.

17.

17.

17.

17.

15.

17.

17.

18.

17.

18.

44

90

08

52

80

47

02

71

52

41

52

25

94

56

44

81

21

38

00

54

80:

00

71

64

82

64

30

97

16

71

50

08

35

80

01

20

82

33

95

98

17

70

56

83

30

06

20

48

96

42

66

59

36

56

36

m

17. 16

15. 34

15. 69

17. 17

16. 60

17. 33

17. 71

16.23

17. 11

17.26

17.21

18. 04

17. 54

17. 31

13. 00

16. 57

15. 59

16. 08

17. 79

16. 05

17. 12:

17.48

17.20

15. 34

17. 41

18. 08

16.40

17. 85

17.45

15. 87

16. 08

15. 97

17. 54

15. 75

17. 63

16. 94

17. 77

17. 37

16.62

17. 57

16. 25

17. 60

16. 52

16. 88

17. 07

17.66

14. 74

17. 47

17. 19

18.24

17. 31

18. 10

A

0.66

1.43

1.29

1. 09

0. 37

0. 34

1. 18

1. 19

1. 08

0. 79

0. 92

0. 76

1. 55

0. 94

0. 92

0.51

1. 87

0.64

0. 63

1. 19

1.26:

J l . 36

0. 93

1. 16

0. 97

0.48

0. 59

1. 31

1. 00

0.65

1.46

0. 70

0. 91

]2.30

1.44

1.22

0. 50

1. 19

0. 88

2. 04

1. 57

0. 36

0.69

0. 96

1. 17

1. 50

1.22

1. 16

0. 97

1.74

0. 78

1.35

0.40

0. 70

0.60

( m )

17. 11

15. 24

15. 60

17. 10

16. 58

17. 31

17. 63

16. 15

17. 04

17. 20

17. 15

17. 99

17. 43

17. 25

12. 94

16. 53

15. 46

16. 04

17. 75

15. 97

17. 04:

17. 41

17. 12

15.27

17. 38

18. 05

16. 31

17. 78

17.40

15. 77

16. 03

15. 91

17.44

15.67

17.60

16. 86

17. 71

17.23

16. 52

17. 55

16. 20

17. 53

16.42

16. 80

16. 99

17. 60

14. 60

17. 42

17. 10

18.21

17. 26

18. 06

Obs.

489

534

517

493

343

463

376

521

460

438

410

301

446

451

546

519

524

523

378

520

86

199

439

446

530

445

282

493

344

292

515

524

521

220

429

520

356

481

353

414

519

337

505

401

491

521

521

502

304

544

493

469

385

502

322
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 145

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

HV

13 93

11246

1394

1396

1397

1398

1399

1400

1401

1402

1403

1404

1405

11116

1406

11117

1407

11118

11248

1408

11249

1409

11119

1410

11120

1411

1412

1413

1414

1415

1416

1417

11251

1418

1419

1420

11252

1422

1423

1424

1425

1426

1427

11121

11253

824

11122

11123

1428

11124

1430

11257

11258

12919*

11125

X

10143

10176

10197

10205

10274

10293

10304

10304

10318

10322

10324

10328

10334

10365

10374

10416

10427

10430

10437

10467

10470

10498

10510

10515

10531

10534

10544

10546

10571

10597

10614

10614

10633

10636

10646

10649

10650

10663

10665

10686

10697

10709

10724

10728

10730

10734

10735

10740

10816

10839

10845

10869

10896

10902

10908

y

7532

9822

7423

8302

7332

8858

7749

10786

8046

5281

8948

9206

7881

7713

8043

8100

8399

9273

9062

9214

2754

10682

8836

9334

9084

7369

6187

6744

8489

7418

7755

8345

9050

8364

7950

9186

9129

6353

6685

9692

10476

8864

8594

8715

7691

9857

7959

8430

10243

9078

8972

6711

10458

10369

5466

Published P

7.

6.

8.

2.

1.

9.

6.

4.

10.

1.

1.

4.

10.

4.

3.

2.

1.

1.

722

3023

08153

05499:

7321

1468

648163

341

166

7793

9148

5116

1594

50603

9346

2437

9146

6378

Irr.

1.'

3.

2.

8.

2.

2.

8.

5.

2.

1.

4.

1.

3.

4.

10.

7.

1.

1.

65.

1.

6

3

24

1

92765:

5698

0750

850

17352

4592

141

663

29435

7410

9875

97038

501

54717

43885

335

6623

5321

8

7155

0226

13120:

0

58075

Period

7.

6.

8.

2.

1.

9.

6.

4.

10.

1.

1.

4.

10.

4.

3.

2.

1.

1.

1.

1.

1.

3.

2.

8.

6.

2.

2.

8.

5.

2.

2.

1.

722902

Irr.

301158

061161

056331

732080

145282

648163

341107

426007

779273

914748

511556

485807

506027

911128

243544

914638

564169

634472

Irr?

579347

927625

569797

075037

849558

463832

153952

459108

141068

662354

29435

009994

740069

4.988128

1.

3.

3

970381

Irr.

500824

683533

2.392815

4

10

7

1

1

65

1

6

2

3

23

4

3

1

1

547170

43885

334587

662300

532060

798

715560

011533

383040

131203

97284

126519

055944

.707404

.603654

Normal Maxima

26322.

29911.

31062.

24461.

23595.

32818.

29903.

24815.

32851.

26956.

24051.

32880.

29454.

32850.

32490.

27341.

31782.

31701.

32062.

32879.

31976.

30548.

27697.

29806.

32052.

23751.

23341.

32861.

32879.

32860.

31642.

30665.

30507.

16758.

33211.

32878.

29135.

24380.

30593.

32879.

32037.

32879.

29871.

29926.

32702

33073

25893

34685

285

283

273

641

881

369

610

593

302

392

760

265

660

246

255

376

262

458

363

372

647

613

456

638

381

559

590

343

373

300

644

247

635

644

448

257

403

743

593

275

518

326

460

283

459

647

497

262

27658.416

32879

25881

23596

373

416

901

M

16. 09

15. 13

16. 50

15. 14

17.23

17. 32

16. 87

15. 72

16.20

16.66

17. 18

16. 89

15. 82

15. 12

16. 53

16. 19

17. 27

17. 32

17.66

17. 44

16. 80

16.62

16.99

16. 76

17. 12

15. 76

16.48

17. 12

16.64

16. 99

16. 02

16. 99

17. 38

16. 84

15. 98

17. 02

16. 85

16.22

17. 10

16. 70

15. 36

15.21

16.44

17. 24

17.24

12. 48

16. 88

16. 89

17. 43

17.27

14. 16

16. 82

15. 70

17. 17

17.44

m

16.

15.

17.

17.

17.

18.

17.

16.

17.

16.

18.

18.

17.

16.

17.

17.

18.

17.

18.

18.

17.

17.

17.

17.

18.

17.

17.

18.

18.

18.

17.

18.

18.

18.

16.

17.

17.

17.

17.

17.

17.

16.

17

17

18

14

17

18

18

18

15

18

16

17

18

81

67

58

07

90:

25

80

66

59

97

19

03

34

14

51

32

14

96

56:

01

80

42

72

56

07

30

64

21

18

02

38

02

20

12

85

92

62

75

76

83

22

63

42

94

35

22

50

14

02

11

56

02

94

97

33

m

io.

17.

16.

17.

18.

17.

16.

17.

16.

17.

17.

16.

15.

17.

17.

17.

17.

18.

17.

17.

17.

17.

17.

16.

17.

17.

17.

17.

16.

17.

17.

17.

16.

17.

17.

17.

17.

16

16

17

17

18

13

17

17

17

17

14

17

16

17

18

54 C

C

21 1

22 1

60 C

02 C

45 (

25 (

10 1

82 C

95 1

57 1

91 1

66 1

A

. 72

). 54

. 08

.93

). 67:

). 93

). 93

). 94

. 39

). 31

. 01

. 14

. 52

.02

18 0.98

10 1 . 13

81 0. 87

74 0. 64

03: (

78 (

1

16 (

43 (

30 (

78 (

44

12

86

60

65

96

67

87

73

55

69

.

23

55

55

61

10

03

69

00

46

32

56

96

79

99

69

49

67

. 03

3. 90:

3.67

. 00

3. 80

3. 73

3. 80

3.95

. 54

. 16

. 09

. 54

.03

.36

. 03

3. 82

.28

3. 87

3. 90

0.77

1.53

0.66

1. 13

1. 86

1.42

0.98

0. 70

1. 11

1. 74

0.62

1.25

0. 59

0. 94

1.40

1. 20

1.24

0. 80

0. 89

(IT

16.

17.

16.

17.

17.

17.

16.

17.

16.

17.

17.

16.

15.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

16.

17.

17.

17.

17.

16.

17.

17.

17.

16.

17.

17.

17.

17.

16.

16

16

17

17

13

17

17

17

17

14

17

16

17

17

0

49

14

09

56

96

38

19

01

80

88

49

81

59

11

02

75

70

97:

74

11

38

25

72

33

04

79

50

58

87

60

81

64

48

63

13

50

47

49

01

96

64

92

34

28

48

92

73

90

61

41

62

98

Obs.

493

546

494

522

202

417

486

504

498

514

491

298

513

530

497

460

333

290

153

213

364

290

251

489

462

527

507

438

352

508

507

317

205

295

501

363

490

481

482

47Z

508

534

501

363

265

557

345

397

331

447

538

486

523

254

358
146 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

HV Published P Period Normal Maxima M (m) Obs.

1431

1432

11126

11127

11259

1433

1434

11260

12082

10353

11262

1435

1436

1437

1438

11128

11263

1439

11264

12920*

1441

1442

1443

11129

1445

11130

825

1446

1448

1449

1447

1450

11131

1451

12921*

11271

1452

11132

1453

1454

1455

1456

1457

11273

12922*

11274

11275

1458

11133

1459

11277

12923*

1460

1461

11278

10912

10915

10925

10926

10937

10951

10959

10962

10980

10992

10998

11004

11031

11045

11054

11059

11063

11072

11072

11078

11086

11086

11089

11090

11109

11118

11125

11146

11175

11186

11188

11195

11197

11206

11209

11212

11224

11238

11241

11243

11251

11254

11254

11274

11276

11283

11292

11295

11298

11301

11306

11311

11311

11314

11328

9683

7333

9188

8955

6735

6334

7607

10389

11004

8286

8556

8057

10889

9046

8712

9350

8058

8817

9454

10375

7175

7711

9373

9290

9584

8544

10813

10941

9057

9834

6822

7147

8705

8022

7034

9055

6984

8100

9003

7873

5735

6363

9412

4872

7044

10182

10188

9471

8388

7070

8919

7031

12362

7839

10542

4. 885

Irr.

1. 8388

3. 05171

5. 833

26. 567

Irr.

7. 011

1.6637

8. 374

13.598

2. 6454

23. 535E

4. 18783

1.02307E

15. 292

2. 994

24.480

3.693

1.7613

Irr?

1. 8721

2.48

3. 143

2. 0044

30.055

3. 089

3. 70

14. 068

Irr?

5. 115

2. 7495

1. 359:

2.91286

5.405

4. 885317

Irr.

1.837804

3.048898

1.993342

2.046987E

5. 833013

1.187552

2.037125

27.228396

Irr.

7. 011885

1.656112

8. 376213

13.646365

2.647469

11.770245

4. 193169

2.007049

1.638479

1.023075E

15.287481

2.993751

24.4757

3.692881

1.761301

Irr.

1.872140

2.479556

1.597990

1. 912035

3. 143102

2.004402

30. 063434

1.838299

1.771157

2.022102

3. 089339

3.699185

14.068061

Irr.

Irr.

5. 112759

4.794025

1.557591

Irr.

2.451083

2.749549

1.359052

1.992746

2.105760

1.474796

2. 912862

5.404616

2. 964746

25892.327

32804.452

31291.478

29906.234

24431.682

30673.250

32851.408

26978.452

23288. 713

32052. 381

30561.604

24821.586

31799.291

28845.285

32818. 369

26563.608

26334. 320

29811.606

26944. 366

24440. 733

34685. 312

28371.501

29903. 610

26689.282

34682.472

31293.486

26303. 401

26304.269

32850.289

23751.559

24352. 826

24686.855

29911.283

24763.720

16755.544

24772.722

29867.456

27727.294

27755. 401

24065. 748

32878.257

31379. 370

24440. 733

24417. 779

29585.264

26626.464

34299.297

32850.289

26572.516

16. 02

16. 30

17. 45

17. 32

17. 79

16. 14

15. 74

17. 30

16. 19

15. 10

14. 47

15. 40

16. 25

15. 16

15. 02

17. 51

16. 44

16. 32

17. 37

17. 16

16. 04

14. 96

16. 47

15. 11

16. 02

17. 25

14.42

16. 50

16. 37

17.40

16. 85

16. 84

17. 16

14. 51

17. 62

17. 08

17.44

16.65

15. 67

15. 80

14. 63

15.40

16. 06

16. 86

17. 48

16. 90

16. 93

17. 07

17. 48

16. 78

16. 80

17. 43

16. 15

16. 40

16. 32

17. 17

18. 00

17. 78

18. 15

18.26

16. 72

16. 87

18. 18:

17. 66

16. 32

16. 52

16. 80

17. 68

16.24

16. 54

18. 06

17. 00

17. 08

18. 12

17. 74

16. 64

16. 50

17. 92

16. 74

17. 32

17. 89

15. 50

17. 76

17.28

17. 85

17. 71

17.68

[17.6

16.26

17.92

17. 70

17. 74

17.44

17. 13

17. 11

15. 83

19. 04:

17. 70

17. 58

17. 89

18. 10

18. 02

18. 00

18. 01

17. 50

18. 56

17. 89

17. 36

17.21

17.20

16. 71

17. 62

17. 86

18. 05

16.40

17. 78:

17. 36

15. 78

16.26

17. 18

15. 76

16. 03

17. 90

16. 79

16. 82

17. 88

17. 45

15. 97

17.45

16. 03

16. 95

17.72

17.46

17. 07

17. 71

17.49

17.44

17. 43:

15. 69

17. 82

17. 52

17.66

17.26

16. 68

16. 52

17. 03

17. 30

17. 70

17. 67

17. 75

17. 77

17. 18

17. 87

17. 77

17. 04

16. 94

16. 96

1. 15

1. 70

0. 33

0. 93

0. 47

0. 58

13

47

22

05

40

43

08

52

0. 55

0. 56

0. 76

0. 75

0. 58

0. 60

1. 54

1.45

1.63

1. 30

0. 64

1. 08

1.26

0. 91

0.45

0. 86

0. 84

1. 71

0. 30

0. 62

0. 30

0. 79

46

31

20

64:

64

0. 72

0. 41

1.20

1. 09

0. 93

0. 53

0. 72

1.76

0.46

1.21

0.81

0.88

16. 63

17. 60

17. 80

18. 01

16. 32

17. 72:

17. 26

15. 70

16. 17

17. 08

15. 68

15. 90

17. 86

16. 75

16. 77

17. 83

17. 41

15. 87

17. 35

15. 92

16. 86

17. 67

17. 38

17. 01

17. 68

17. 43

17. 38

17. 40:

15. 58

17. 80

17. 48

17. 64

17.21

16. 58

16. 43

16. 92

17. 25

17. 67

17. 60

17. 69

17. 73

17. 13

17. 75

17. 74

16. 96

16. 89

16. 90

510

498

433

452

41 1

519

350

198

471

399

549

520

347

544

542

419

506

513

274

423

527

523

464

540

512

394

516

335

428

450

489

488

98

518

330

311

480

479

461

521

534

468

496

500

353

365

373

429

394

494

242

383

473

496

504
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 147

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

H V

1462

1463

1464

10355

11134

1466

1468

1469

1470

1471

1472

826

10356

1474

11135

12084

827

1475

11136

1476

1477

1 1283

11 137

1478

11284

11138

1480

11286

1481

1482

1483

1484

1485

1486

1487

828

1488

11139

1489

11287

1490

11289

1491

1492

1493

12924*

1494

1495

11140

1496

1497

10357

12925*

829

1499

X

11346

11360

11366

1 1370

11370

11384

11397

11432

11432

11434

11444

11445

11445

11461

11465

11466

11473

11474

11481

11483

11484

1 1494

11496

1 1503

11514

11515

11520

11535

11540

11544

11544

11561

11570

11587

11593

11594

11603

11607

11628

11628

11634

11646

11663

11666

11669

11683

11686

11687

11693

11696

11698

11700

11700

11706

11707

y

6826

6214

8074

8595

10770

9086

6423

6621

7575

9228

6986

7449

1 1379

10194

9034

10014

10674

7747

7808

10852

10494

8371

9120

7695

9378

9096

8480

9381

7996

8344

8739

8727

11320

8294

9874

8045

6802

8682

6966

10182

8844

9387

10415

10803

7094

6951

15915

11068

8908

6478

6400

8397

8506

9748

8699

Published P Period

9. 055

9. 9157

1.70141

1. 50230

4. 093

11.231

6. 5657

1. 8644

2.7698

13. 4657

2. 9427

2. 05518

0. 749

1.73984

17. 535

3.62549E

2. 846

4. 8459:

15. 02

15. 836

9. 10291

7. 1561E

9. 18991

16.29

3.2250

3.24414

2.43022

6. 292208

1.799570

1. 48554:

7. 1638

32. 010

88. 5

4. 9868

2.995806

2. 171586

13. 295751

10. 038246

1.701427

1.502300

Irr.

3.223893

4.092239

11.192693

3.061915

6. 566419

1.866556

4. 160616

2.769799

1.744832

13.465656

Irr.

2.942630

2.050013

4.123949

3.008297

1.739793

17. 532786

, 3.625487E

2.846392

4.846055

2.756272

15.651902

15. 82769

3.832782

9.025906

3.577997E

9. 189303

9. 560778

16.296996

3.283231

3.224949

3.420441

3.243583

2.433851

0. 788189

1.547633

6.292208

4.672416

Irr.

1.799570

3.042297

7. 164241

1.776653

2.311001

32.012175

5.888865

87.627059*

5.002076

Normal Maxima M

31611.626

23315.640

32804.452

33211.448

32504.261

32061.385

26981.369

28034. 526

16759. 606

29903. 335

26568. 516

31701.458

27783.280

30344. 395

30344. 395

30561.604

30507.635

23752.564

26328. 373

24025. 729

29806.638

26563.608

34682. 321

32880. 265

29872. 455

28373. 456

26512.623

31398.246

16760. 531

32508. 406

16757. 542

31782. 262

24504. 568

13861.607

25881. 416

26313.268

28776.476

31738. 367

30593. 593

29926.405

31342.355

23654. 886

32490. 255

26312. 267

26956. 392

34682.472

31998. 632

29881.449

26568. 518

26177. 587

31625.631

16. 56

17. 14

15. 55

15. 92

16. 88

17. 00

17. 17

16. 46

16. 96

15. 62

16. 56

15. 94

16. 30

16. 31

16. 51

16. 72

14. 50

13.41

16. 60

16.47

16. 78

17. 31

17. 72

15. 88

15. 36

17.43

16. 14

16. 60

15. 08

15.27

17. 04

15. 51

17. 30

16. 08

15. 18

16. 31

16. 37

16. 41

16. 69

16. 40

17. 14

17. 46

17. 00

15. 14

16. 86

16. 67

16. 30

16. 40

16. 11

17. 54

16. 04

13. 98

16.65

12. 80

16.45

m

17. 93

18.29

16. 57

16. 52

18. 00

18. 14:

18. 09

1 7; 77

18. 14

16. 57

17. 60

16. 88

17. 72

16. 83

17.66

17. 38

15. 56

14. 27

17. 74

17.22

17. 42

18. 20

18. 38

16.65

16. 04

18. 26

17. 08

17. 58

16. 50

17. 04

17. 87

16. 17

17. 54

17.25

16. 26

17. 48

17. 65

17. 68

17. 40

17. 49

18.28

18. 18

17. 78

16. 54

17. 52

17. 75

16. 85

16. 94

17. 26

18.21

18. 12

15. 83

17. 51

13. 72

17. 80

m

17. 62

17. 94

16. 22

16.25

17. 63

17. 54

17. 44

17. 82

15. 98

17. 26

16. 56

17. 30

16. 59

17.24

17. 16

15. 12

17.40

17. 03

17. 19

17. 92

18. 09

16. 36

18. 00

16. 78

17. 26

16. 04

16. 57

17. 52

15. 84

16. 75

15. 74

17. 02

17. 22

17.21

17.22

17. 18

17. 74

17. 88

17. 48

15.99

17. 33

16. 62

16. 71

16. 84

18. 03

17. 89

15. 19

17.20

13. 30

17. 40

A

1. 37

1. 15

1. 02

0. 60

1. 12

1.14:

0. 92

1. 31

1. 18

0. 95

1. 04

0. 94

1. 42

0. 52

1. 15

0.66

1. 06

0. 86

1. 14

0. 75

0. 64

0. 89

0.66

0. 77

0.68

0. 93

0. 94

0. 98

1.42

1. 77

0. 83

0.66

0. 24

1. 17

1. 08

1. 17

1.28

1.27

0. 71

1. 09

1. 14

0. 72

0. 78

1. 40

0.66

1. 08

0. 55

0. 54

1. 15

0. 67

1. 08

1. 85

0. 86

0. 85

1. 35

<m>

17. 53

17. 86

16. 15

16. 21

17. 56

17. 46

17. 35

17. 74

15. 92

17. 12

16. 50

17.21

16.56

17. 16

17. 12

16. 05

17. 32

16. 98

17. 15

17. 86

18. 05

16. 31

17. 94

16. 72

17. 19

15. 95

16.45

17.46

15. 80

16.'67

15. 67

16. 94

17. 14

17. 12

17. 17

17. 11

17.66

17. 83

17. 43

15. 90

17.28

16. 58

16. 67

16. 76

17. 99

17. 82

15. 07

17. 14

13. 24

17. 31

Obs.

497

328

501

481

279

163

367

381

487

521

478

521

289

420

402

352

511

516

465

345

461

360

203

512

516

339

450

357

512

532

346

528

414

524

525

504

487

461

516

389

233

340

344

500

502

449

444

418

502

299

352

523

516

555

452
148

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

H V

1500

11142

1501

1502

11143

11144

15 03

1504

1505

830

11145

1506

1507

12088

1508

11292

11295

1509

1510

1511

1512

1513

1514

11296

12 926*

11146

1515

1516

1517

1583

1519

11147

1520

1521

831

1522

11148

1523

11297

11149

832

11298

1525

1526

1527

1528

11150

1529

11299

11151

11300

1530

1531

1532

12089

X

11712

11748

11749

11764

11768

11770

11771

11779

11781

11782

11783

11784

11802

11802

11805

11810

11829

11843

11845

11847

11849

11853

11859

11868

11869

11880

11880

11886

11890

11894

11905

11906

11914

11922

11926

11928

11932

11934

11942

11943

11943

11948

11955

11957

11971

11971

11974

11981

11987

11990

12005

12006

12006

12013

12018

y

6566

8508

9005

11845

8909

9146

10125

8653

12212

6843

7784

11355

6917

10956

6979

7883

9324

7850

15900

10780

7094

11282

7483

13 074

6512

7458

11225

6513

11181

7068

9279

8752

9846

10414

6774

8166

8486

103 87

9217

7829

10143

8123

6637

6847

9056

11495

7448

6792

8100

7990

8634

6407

6,675

8936

10632

Published

1.

27.

1.

3.

1.

1.

3.

1.

571.

6.

0.

2.

1.

5.

1.

1.

4.

1.

6.

10.

22.

1.

1.

1.

1,

7

2

1

2

1

4285

4

2 902

0744

94869

P Period

5.

1.

27.

3.

1.

3.

5.

1.

25122001.

1905

87502

02

820:

4.

3.

1.

2.

1.

3.

565.

6.

5708566 0.

16088

36142

12 06

820

44324

501

5742

384

4

154

. 9030

, 8911

, 5576

. 5097

.23

. 3821

. 5515

. 7086

. 9193

2.

6.

1.

5.

3.

18.

1.

1.

1.

1.

6.

4.

1.

6.

10.

4.

22.

1.

3.

1.

1.

1.

4.

5.

7,

2

2

1

2

1

3

5

1

1

949796

428525

406271

545848

290208

074443

803359

946370

251220

350607

190287

886248

876680

891453

372966

Irr.

02

818213

570857

160859

546816

361420

119096

072054

613655E

820141

140726

504662

443249

084428

500673

574201

384758

427528

173919

14355

902969

.858813

.891206

.558969

Irr.

.508145

.384541

.087583

.228515

.3 04647

.382121

Irr.

.551542

.708452

.962502

.037925

.112082

.920399

.270844

Normal Maxima

26572.

31625.

34300.

13861.

29870.

26308.

31796.

28776.

32846.

16727.

29881.

16760.

14604.

31701.

23340.

33563

23290.

33104.

29585.

29849.

30528.

34682.

29681.

34685.

29938.

32142.

30578.

23320.

26689.

28065.

29585.

29926.

26929.

34685.

26508.

30578.

34299.

32034.

26689.

28783,

29811

23682

26945

26571

26502

31796

26929

29585

27750

29484

29906

29926

516

631

306

607

451

461

310

476

275

653

44 9

614

612

458

586

707

622

264

488

640

42 9

36 9

415

243

259

513

599

282

301

264

333

624

466

640

. 503

.297

, 503

,282

. 395

.606

. 813

.391

.493

.647

. 310

.624

. 264

.478

.460

. 385

. 240

M

16.

16.

14.

16.

17.

16.

15.

16.

17.

16.

16.

16.

17.

16.

16.

17.

15.

15.

15.

16.

15.

17.

15.

16.

17.

16.

17.

17.

16.

16.

15.

17.

16.

15.

17.

14.

16.

15.

17.

17.

14.

17.

16.

16.

16.

17.

16.

16,

17,

17.

17,

16

16

16

17

35

79

75

09

10

40

16

96

09

24

88

80

08

68:

10

10

10

8 9

82

72

92

18

97

25

68

94

12

1 1

53

74

94

60

17

18

00

75

57

96

40

53

. 13

.65

, 70

, 16

. 00

. 19

. 57

.43

.46

. 14

. 30

. 84

.62

. 80

. 23

m

17.

18.

16.

16.

18.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

16.

17.

17.

17.

17.

17.

18.

17.

17.

18.

17.

17.

17.

18.

17.

16.

18.

16.

17.

16.

18.

[18.

14.

18,

17,

17,

17,

17

17

18

18

18

17

17

17

18

18

64

27

16

79

00:

75

12

94

74

64

46

80

71

J6

64

95

74

14

7 9

96

02

64

08

00

13

46

70

20:

87

45

22

52

02

04

04

36

89

98

, 13

, 4

. 75

. 50

. 99

. 88

. 06

. 77

. 33

.28

. 39

. 00

. 95

. 94

. 55

. 06

. 12

m

17.

17.

15.

16.

17.

17.

16.

17.

17.

17.

17.

17.

17.

17.

17.

16.!

16.

17.

16.

1 7.

16.

16.

17.

17.

17.

17.

17.

16.

18.

16.

15.

17.

15.

17.

16.

17.

17.

18.

17.

17.

16.

17.

17.

18,

17,

17.

17

17

17

17

IK

94

38

53

54:

26

54

53

48

24

2 8

47

52

13

22

5 8

55

6 J

6 5

41

67

77

2 9

48

77

47

18

70

01

71

58

72

62

52

68

83

82

32

. 58

35

, 74

, 56

. 15

. 12

.67

. 75

. 62

. 14

. 57

. 77

A

1.

1.

1.

0.

0.

1.

1.

0.

0.

1.

0.

1.

0.

0.

1.

0.

2.

1.

0.

1.

1.

0.

1.

0.

0.

0.

0.

1.

1.

0.

1.

0.

0.

0.

1.

1.

1.

1.

0.

0.

0.

1.

1.

1,

0,

0,

1,

0

0,

0

1

0

1

0

2<>

48

41

7 0

90:

3 5

96

98

6 5

40

58

00

6 5

68:

54

MS

6 4

2S

')7

24

10

46

1 1

75

45

52

58

09:

34

71

28

92

85

86

04

61

32

02

73

.62

. 85

. 29

, 72

. 06

. 58

. 76

. 85

. 93

. 86

.65

. 10

. 93

.26

. 89

( m)

17.

17.

15.

16.

17.

17.

16.

17.

17.

17.

17.

17.

17.

17.

17.

16.

16.

1 7.

16.

17.

16.

16.

17.

17.

17.

17.

17.

16.

17.

16.

15.

17.

15.

1.7.

16.

17.

17.

18.

17.

17.

16.

17.

17,

18

17.

17

17

17

17

17

09

84

2>»

48

49:

17

41

46

44

15

24

40

48

OH

1 1

50

47

55

SK

5K

62

72

26

44

70

38

1 3

61

95

65

52

66

51

43

61

78

75:

,26

.49

. 23

.67

. 52

. 10

.06

.61

. 71

. 54

. 07

.49

. 71

Obs.

401

4 05

554

484

333

5H0

514

5 02

578

492

166

2 96

46')

524

4K5

167

299

485

468

4 01

512

5H9

49 5

489

47M

410

386

182

275

507

498

239

499

512

475

533

430

490

263

193

533

272

496

432

517

340

432

3 04

319

320

357

483

523

273

207
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 149

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

HV Published P Period Normal Maxima M ( m) Obs.

12927*

11301

1533

11302

1534

1535

12090

12091

1536

1537

11152

1538

1539

1540

1541

12092

11303

1542

10358

1 1304

1543

1544

1545

1546

1547

1548

1549

1550

1551

11153

12093

11306

1552

1553

11154

1554

11307

1555

11308

11155

833

1557

11311

1558

1559

1560

1561

1562

1563

1564

12097

12098

11156

1565

1566

12024

12036

12040

12042

12 044

12048

12048

12048

12055

12063

12063

12072

12076

12076

12086

12090

12090

12095

12096

12099

12106

12107

12110

12116

12116

12119

12121

12125

12126

12132

12144

12149

12154

12156

12156

12162

12170

12171

12172

12223

12233

12233

12239

12247

12279

12280

12284

12284

12286

12286

12288

12288

12300

12311

12324

7041

7826

8773

8324

7235

6665

10332

11568

8213

5931

7552

6487

6205

6975

8297

10320

13890

12748

11055

9360

7540

8498

8994

8133

10356

10596

6754

8717

7066

5859

10422

9436

9640

8037

8700

6403

7910

10944

7790

8976

20164

7273

8580

9275

10104

8975

7926

9494

6386

8905

9918

12012

9096

7566

6326

1.

16.

1.

4.

5.

4.

19.

1.

540

3.

2 0.

3.

2.

2.

3.

1.

1.

12.

2.

3,

4.

3

1

228

1

1

15

6

4

5

2

2

1

27665E

45

49606

787

8418

2845

335

49554

3.

1.

16.

1.

3.

2.

1.

1.

4.

5.

4.

2.

4.

2.

19.

1.

533.

17798

461

94

5857

7988

367827

6034

28163

V39

,4215

.1498

. 9273

.2868:

.4383

. 8 ;

. 9028

.77177:

.50

.473

. 388

.25

.36526

.40930

.9369:

1.

3.

1.

20.

3.

2.

2.

1.

7.

2.

3.

4.

1.

1.

1.

3.

12.

2.

1.

3.

4.

3.

1.

239.

1

1.

1

5

15

6

4

5

5

2

1

2

1

4

252551

276650E

435021

371704

642337

062948

496128

170326

786655

842213

284600

544633

212814

890675

326884

495513

87

319185

159687

418273

454500

939403

581644

548317

874579

350077

026096

360949

496747

604173

281473

685201

948901

543274*

.421604

,799775

,149805

.942396

.286803E

.438301

.92

.902801

.389389

.771764

.953409E

.509166

.473372

.388255

.665369

.254004

.365257

.193612

.412790

.936813

.313878

3 0663. 265

31799. 291

28804.

28034.

31712.

34682.

29868.

29843.

30619.

32031.

26511.

28034.

32441.

32052.

32846.

26956.

29958

26331.

29100.

34689.

24402.

31625.

26331.

23751.

29926.

29843.

16727.

33129.

26632.

34300.

26547.

24433.

27786.

26303.

32878.

32861.

21813.

26329.

33073.

24359

30970.

24462.

32031.

24408,

29074.

32880

32845

31976

32509

30619

32845

29787

25892

29871

379

526

374

378

460

597

350

595

653

526

399

381

275

392

335

560

263

678

631

335

559

538

597

653

642

395

306

584

677

361

401

396

253

786

.300

,647

, 373

.659

,595

.793

. 651

.399

.251

.647

.259

. 350

.251

.639

. 327

.460

16.

17.

15.

17.

15.

17.

17.

17.

16.

15.

17.

17.

17.

16.

14.

17.

15.

16.

16.

17.

14.

16.

16.

16.

17.

15.

17.

15.

16.

17.

17.

16.

16.

16.

60

22

61

90

74

55

69

16

10

88

01

05

17

46

66

41

20

68

12

50

85

98

50

90

88

82

32

93

54

60

48

64

26

02

16.41

17.

17.

15.

17.

17.

11.

16,

17,

16,

16,

14,

16

15

16

14

17

17

16

17

16

59

,62

29

,45

. 00

.20

. 23

. 58

.86

.64

. 87

.26

. 99

. 19

.65

. 53

. 85

. 40

. 47

. 91

17.

17.

16.

18.

17.

18.

18.

17.

17.

16.

17.

17.

18.

17.

15.

18.

[18.

17.

16.

18.

16.

17.

17.

17.

18.

16.

17.

17.

17.

18.

17.

17.

17.

17.

17.

18.

18.

16.

17.

17,

[17,

17,

18.

17.

17

16

18

16

17

15

: 18

[18

17

18

17

54

67

94

42

02

18

39

54

48

90

65

79

15

46

54

25

00

20:

90

26

68

88

98

85

66

28

87

47

52

14:

90

86

49

20

56

.23

, 06

, 90

, 79

. 50:

. 70

. 86

. 20

. 80

. 33

. 06

. 08

. 98

.46

.46

. 24:

.4

. 10

. 34

.25

17.

16.'

18.

16.

17.

18.

17.

17.

16.

17.

17.

17.

17.

15.

17.

17.

16.

17.

15.

17.

17.

17.

18.

16.

17.

17.

17.

17.

17.

17.

17.

16.

17.

17.

17.

16.

17.

16.

18,

17.

15

17

16

16

15

17

18

16

18

17

31

29

27

66

92

12

34

05

54

43

62

75

24

12

93

07

58

76

75

50

35

54

44

07

63

04

18

91

73

49

08

79

24

99

88

30

34:

. 57

. 00

, 51

. 52

. 33

. 60

. 99

.26

. 89:

.20:

. 87

. 00

. 11

0.

0.

1.

0.

1.

0.

0.

0.

1.

1.

0.

0.

0.

1.

0.

0.

0.

0.

0.

1.

0.

1.

0.

0.

0.

0.

1.

0.

0.

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1.

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0.

0

0,

0

1

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0

0

] 0

0

0

0

94

45

33

52

28

63

70

38

38

01

64

74

98

00

88

84

80

52:

78

76

83

90

48

95

78

46

55

54

98

54:

42

22

23

18

15

64

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,61

, 34

.50:

. 50

. 63

.62

. 94

.69

. 19

. 92

.99

. 27

. 81

.68

. 55

. 70

. 87

. 34

17.

16.'

18.

16.

17.

18.

17.

16.

16.

17.

17.

17.

17.

15.

17.

17.

16.

17.

15.

17.

17.

17.

18.

16.

17.

16.

17.

17.

17.

17.

17.

16.

17.

17.

17.

16.

17,

.

16

17

17

15

17

16

16

15

: 17

18

16

17

17

25

20

24

55

88

07

31

96

47

39

57

68

17

06

87

04

53

71

63

44

25

48

39

04

59

34

1 1

87

70

41

00

71

17

, 94

, 85

, 19

. 31:

. 53

. 96

.45

. 44

.21

. 53

. 91

. 21

. 84:

. 15:

. 82

.94

. 09

500

444

523

337

473

400

191

375

472

522

447

436

481

502

493

315

308

443

491

194

530

413

300

298

426

512

506

3 82

508

224

440

280

503

536

478

303

273

487

485

346

225

5 02

337

339

518

51 0

432

483

508

529

253

185

491

369

483
150

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

H V

11315

1567

1568

12100

12101

11157

12928*

1569

12102

11158

1570

11159

11320

1571

1572

11321

11160

10359

1573

1574

11161

1575

11162

1576

1577

1578

1579

1580

1581

11324

1582

11163

11164

1584

1585

12106

1586

11327

1587

1588

12107

834

1589

1590

1592

1593

11329

1594

1595

12108

11165

1597

11166

12929*

12109

X

12330

12342

12344

12348

12348

12360

12364

12367

12372

12373

12384

12393

12394

12397

12406

12406

12408

12417

12434

12444

12452

12466

12468

12471

12475

12480

12483

12484

12488

12493

12495

12510

12511

12519

12534

12534

12534

12535

12540

12544

12552

12555

12564

12566

12579

12591

12591

12603

12606

12606

12615

12626

12633

12634

12636

y

9702

7629

16633

10230

11424

12804

8826

10947

10368

8856

9264

9192

8830

11537

6657

11289

6108

9645

9378

10789

6768

11322

8013

8755

6645

14724

8451

7586

6813

8786

11735

1629

82 04

8465

7359

10092

10416

8123

10703

7804

10440

11451

9194

11506

9113

6824

9327

7232

4849

10848

8262

12759

9318

7985

11568

Published P

2.

2.

2.

64.

9.

1.

3.

5.

2.

2.

2.

1.

1.

3.

1.

2.

2.

4.

1.

14.

3.

4.

7.

3.

1.

3.

3.

2.

5.

1.

73.

8.

1.

7,

388.

15

4

4

1

00335E

00302

63775

85

47006

04318E

2518

7215

07318:

6018

08597

48292

898

38782

6612

89979

7612

34794

888397

58

94610

V6146:

68

1123

8664

969

7442

Irr.

4194

59018

.40359

. 5

, 333

,98565

. 53

.05 :

.60

. 357

.19275

.37784

2.

2.

2.

1.

1.

68.

4.

9.

1.

3.

5.

2.

1.

2.

4.

2.

1.

1.

3.

1.

2.

2.

4.

3.

1.

14.

3.

4.

1.

7.

3.

1.

3.

3.

2.

2.

2.

5.

1,

73.

8.

1.

7

4

S90

2

0

15

4

4

1

2

3

Period

003334E

00302

637709

459004

907298

9085

168230

525624

043197E

251800

721871

073063

598271

601802

838280

087309E

482934

897825

Irr.

387867

661201

904684

761200

336307

248895

888397

573011

941244

461876

313907

681495

112379

866406

968207

739800

003811

Irr.

,222217

,419333

,590184

.403556

. 589*

.332986

.985652

.534092

.846347

.227757

.547478

.610365

.356862

.192749E

.377264

.602804

.168306

Normal Maxima

25850.

34690.

29484.

29870.

26626.

24408.

31712.

23320.

32003.

16753.

25850.

30885.

29896.

32504.

29791.

26565.

23751.

32142.

32880.

24461.

29958.

30523.

24824.

23320.

25893.

24331.

31738.

34685.

31006.

32861.

26945.

29811.

293

319

460

451

464

793

374

599

648

625

393

633

402

261

62 3

502

5 59

259

265

641

3 06

640

624

599

497

824

367

312

291

343

391

606

34690. 267

31398.246

24408.

32034.

32879.

16760.

29100.

24418.

34299.

29872.

27664.

23344

29906.

29926.

24380.

26559.

31655.

32004.

31710.

34690.

793

461

275

780

560

727

274

455

414

327

283

. 743

.611

. 524

, 637

.455

. 370

15.

16.

16.

16.

16.

13.

15.

15.

16.

16.

15.

16.

17.

17.

16.

16.

17.

16.

16.

16.

17.

15.

17.

15.

16.

16.

14.

15.

16.

17,

15,

16,

17,

15.

16.

16.

16

17

16

16

17

12

15

16

15

16

15

16

15

14

16

16

16

16

16

M

88

79

76

88

77

18

60

17

62

83

81

66

13

18

41

31

00

65

23

52

16

99

21

33

72

.46

. 63

. 94

. 12

, 62

. 82

.46

. 06

, 77

. 75

. 57

.42

. 58

. 34

. 92

. 20

.47

.60

. 84

. 40

. 04

. 76

. 30

. 93

. 50

.60

.96

. 85

. 90

. 36

rr

16.

18.

17.

17.

17.

13.

16.

16.

17.

17.

17.

17.

[17.

17.

17.

16.

17.

17.

17.

17.

17.

16.

18.

16.

17.

16.

15.

17.

17.

18.

16.

17.

17.

16.

17.

17.

17.

18.

18.

17.

17.

13.

16.

17.

16.

17.

17.

17.

16.

15.

17.

17.

17.

17.

17.

1

68

16

34

70

22

90

52:

42

03

37:

14

38

6?

82

58

97

«0

27

40

77

84

89

09

58

66

90

97

80

26

20

38

68

92

74

42

38

38

35:

10

62

94

40

66

57

06

22

80

40

83

76

40

86

86

55

,23

17.

17.

17.

16.

13.

16.

15.

17.

16.

17.

17.

17.

17.

17.

16.

17.

17.

16.

17.

16.

17.

16.

15.

17,

16,

17,

16.

17.

17.

16.

17.

17.

18

17

17

17

13

16

17

15

16

17

16

15

17

17

17

16

m

87

17

34

99

58

25:

94

15

73

04

42:]

60

15

57

98

44

65

,64

, 87

. 21

, 35

, 70

, 46

, 21

. 83

. 93

. 10

. 27

.63

.45

. 17

. 06

. 13:

. 54

. 36

. 63

. 05

. 19

. 38

. 76

. 76

. 14

.61

.22

. 05

.47

. 24

. 95

A

0.

1.

0.

0.

0.

0.

0.

1.

0.

0.

1.

0.

0.

0.

1.

0.

0.

0.

1.

1.

0.

0.

0.

1.

0.

0.

1.

1.

1.

0.

0.

1.

0.

0.

0.

0.

0.

0.

1.

1.

0.

0.

1.

0.

0'.

1.

2.

1.

0.

1.

0.

0.

1.

0.

0.

80

37

58

82

45

82

92:

25

41

54:

33

72

50

64

17

66

80

62

1 7

25

68

90

88

25

94

44

34

86

14

58

56

22

86

97

67

81

96

77:

76

30

74

93

06

73

66

18

04

10

90

26

80

90

01

65

87

( m )

17.

17.

17.

16

1 3.

16.

15.

17.

16.

17.

17.

17.

17.

17.

16.

17.

17.

16.

17.

16.

17.

16.

15.

17.

16.

17.

16.

17.

17.

16.

17.

17.

18.

17.

17.

17.

12.

16.

17.

15.

16.

17.

16.

15.

17.

17.

17.

16.

78

13

2 9

96

53

19:

H6

12

64

33

56:

56

07

52

94

56

6 0

5H

HI

1 3

2 9

67

37

09

75

89

06

17

57

39

13

01

08:

42

27

58

99

12

33

72

68

07

55

14

00

40

20

89

Obs.

4 86

479

401

254

479

51 1

517

5 09

4 76

531

482

446

2H3

457

490

502

52 5

517

494

5 09

3 3 0

473

4 2 3

5 09

469

495

489

497

495

102

495

354

393

485

490

327

450

273

478

496

315

518

505

464

5 09

495

466

494

492

505

490

446

256

479

453
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 151

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

HV Published P Period Normal Maxima M (m) Obs.

11167

1598

11168

1599

11169

1600

11332

10360

1601

1602

1603

1604

12111

11170

12930*

835

1605

1606

12112

1607

1608

1609

1610

1611

1612

11335

1614

1615

1616

1617

1618

1619

1620

12114

11171

1622

11337

1623

1624

1626

2100

1627

12931*

1628

1629

1630

1631

11172

1632

1633

1634

1635

1636

11173

11174

1637

1638

12641

12641

12644

12646

12647

12668

21670

12672

12685

12685

12685

12694

12702

12705

12710

12722

12723

12724

12732

12744

12760

12764

12767

12769

12777

12788

12792

12796

12798

12799

12800

12805

12816

12828

12832

12854

12858

12862

12862

12874

12881

12884

12886

12887

12906

12916

12920

12923

12924

12925

12926

12927

12934

12939

12942

12944

12960

7583

9945

8447

8794

8940

13076

7995

9261

6625

7044

15060

12730

10200

12897

10611

10260

6456

6740

10572

11626

11617

8405

11006

13055

7914

9368

9748

11654

13566

7943

12307

12764

10555

9852

8812

6955

8829

5513

10886

7429

6953

7936

7926

8233

10521

8634

12318

83 09

11599

8354

9524

8264

9714

8815

9522

7680

11820

1.8562

1.7347

7.4985

1.6587

3.2665

3.24365

2.08

1.855078

4.582237

1.734575

7.498219

1.658716

2.684117

2.707408

3.266554

4.735880

3.997793

3.243647

2.072058

102. 81 7E

5. 153550

9. 05141

4.2403

4.4739

3. 0519

5. 145696

2.595966

9. 051330

6.209522

3.487541

4.180584

4.245816

4.491939

3.051804

11.644997 11.644997

2.95661:

6. 1823

1.4486

2.94764

3.7411

5.61

4. 37535

3. 62043E

2.9741

1.3961

4.93861

5.211

• •

2.3328

2.76673

11.4

3.65920

1.3929

8. 1057:

5.20

3.97

5.2502

32. 7

1.4199

1.9977

3.32157

1.71537

2.956673

6. 182992

1.790078

2.768695

1.450501

2.944988

3.741143

5.649335

4. 375314

3.626460E

1.280633

2. 974102

2.030989

Irr.

1.396100

4.916808

5.202724

1.796300

3.598520

2.769561

2.332737

2.769078

11.401209

3.667450

1.392919

8. 126580

5.200830

3.970365

5.249619

32.746

1.419892

1.997551

3.324999

1.715372

32793. 394

24504. 568

27746. 529

27680.449

28783.395

23347.528

25850. 393

28040.467

29806.634

29928.242

29926.405

23320. 599

29958. 306

31796.310

34690.418

32878. 305

29778.637

28045.406

32880. 399

31801.286

32419. 541

32880.296

31799.349

24772. 722

32062. 363

23341.668

24787.682

26594.456

31976.647

31342.355

14604.612

26328.373

32537.326

28376. 572

26304.269

27253.622

. . .

26502.647

26929.624

29826. 594

23344. 538

31670.549

33160. 533

27722.387

24468. 688

24025. 729

27658.416

31738. 367

29778.637

32000.655

32004. 637

29204.247

31752.242

31626.627

13888. 576

17447. 825

29826. 594

16. 88

15.62

17. 30

15. 87

16. 78

15.99

16.99

16. 12

16.47

16.54

15. 37

16. 80

17. 00

16.25

16. 16

14. 82

16. 30

16. 12

16.21

15. 51

16.20

16. 52

14.20

16. 15

14. 94

16.48

15. 97

16.66

15. 79

16. 74

14. 89

15. 73

14.25

17.20

16.58

16. 90

17. 15

16.90

15.66

16.30

16.68

16.47

16.62

16. 73

16.42

15. 03

15. 55

17.66

15. 78

15.74

15.88

15. 93

14. 14

17. 01

16.60

16. 19

16. 84

17.48

16.76

18. 12

16. 75

17. 50

16. 78

18. 32

17. 14

17. 54

17.67

16.98

17.80

17.53

16. 70

17. 12

16. 14

17.23

17.60

17.29

16. 76

17. 16

17. 34

15.66

16.90

17. 16

16. 95

17. 10

17. 82

17.29

17.50

16. 70

16.94

14. 77

18.30

17.47

17.48

17.55

17.76

17.20

17.48

17.35

17. 15

17.30:

17. 90

17.32

16. 17

16. 82

18.20:

16.34

16.81

17. 76

16. 81

14. 97

17.67

17. 81

17.36

17. 86

17.23

16.44

17. 86

16. 35

17.29

16. 34

17. 84

16.78

17. 12

17.35

16.43

17.35

16. 51

16.69

15. 50

16.71

17. 12

16.93

16.30

16. 83

17. 07

15. 03

16.59

16.34

16.74

16.80

17.45

16.88

17.29

16. 00

16.55

17.91

17.21

17.22

17.50

16.72

17.06

17.07

16.89

16.97

17.53

16.99

15.75

16.46

17. 90:

16.04

16.44

17. 05

16.48

14.64

17.43

17. 53

17. 01

17.41

0.60

1. 14

0.82

0. 88

0.72

0.79

33

02

07

13

61

00

0.53

0.45

0. 96

1.32

0.93

1.48

1.08

1.25

0. 96

0. 82

1.46

0.75

2.22

0.48

1.13

1.16

1.50

0. 76

1.81

1.21

0.52

1.10

0.89

0.58

0.40

0. 86

1.54

1.18

0.67

0.68

0. 68:

1. 17

0.90

1. 14

1.27

0.54:

0.56

1.07

1. 88

0.88

0.83

0.66

1.21

1. 17

1.02

17. 19

16.38

17. 81

16.29

17.24

16.28

17.75

16. 71

17.05

17.27

16.32

17.28

16.48

16.64

15.41

16.66

17. 02

16. 86

16.22

16.78

17. 02

14. 93

16.54

16.19

16.71

16.72

17.37

16.78

17.24

15.88

16.47

17.84

17.15

17. 18

17.44

16.62

16.98

17. 03

16. 84

16.92

17.45

16.93

15.67

16.38

17.86:

16. 00

16.37

16. 92

16.40

14. 58

17.39

17.45

16. 93

17. 34

487

535

309

485

311

508

350

459

491

488

487

319

448

483

437

437

487

485

443

438

440

357

520

502

533

437

495

350

470

413

492

467

535

397

366

489

334

396

460

497

527

335

331

358

410

493

485

176

488

470

491

454

544

281

482

531

208
152

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

H V

1639

12122

1641

1642

1643

11338

1644

164 5

1646

1649

1650

1651

1652

11175

1653

11339

1654

1655

1656

11341

1657

12932*

1658

11342

12123

1659

838

1660

12124

1662

11345

1663

1664

1665

11347

1666

836

1667

12125

1668

1669

837

1670

12933*

1671

1672

1674

11350

11351

1676

1677

1678

12128

11352

1679

X

12962

12966

12974

12980

12982

12986

12995

12996

13012

13021

13023

1-.O37

13037

13038

13051

13051

13058

13065

13070

13070

13075

13084

13086

13086

13092

13094

13095

13099

13122

13124

13128

13132

13136

13144

13148

13149

13150

13157

13158

13162

13162

13164

13165

13166

13178

13180

13185

13205

13206

13213

13215

13217

13230

13233

13241

y

8523

12156

12406

6024

7836

9040

7356

7973

10047

9944

793*

6604

1032-

9564

8761

9749

13356

9663

9203

10226

9673

6042

11751

12990

10872

11419

8168

8694

11238

14094

9294

7390

6711

9774

10356

11134

14274

8466

10272

6785

10796

12554

7613

7637

12 849

7769

8973

10310

12738

7258

8779

9168

10446

6210

12884

Published

2.

4.

2.

3.

300.

5.

5.

2.

1.

3.

2.

1.

1.

4.

1.

1.

1.

7.

9.

3.

42.

4.

4

5475

Irr.

86003

62051

0576

Irr.

3

311

323

58

4912

9717

24494

61232

7587

'667

'4669

9555:

Irr.

P

2.

119.

4.

2.

3.

1.

210

300.

5.

5.

2.

3.

1.

3.

1.

2.

: 1.

1.

1.

4.

0.

1.

1.

1.

4.

663

2.

3.

3.

176027 2.

75344

40344

, 1888

.6

3,

1.

4.

1.

7.

9.

3.

1,

1,

3

42,

2

1

.839625 4

. . .

...

. . .

. 03

5

1

1

6

3

1

1

2

4

Period

547530

54

860834

628929

057767

517858

±

3

233821

323963

583839

008016

Irr.

491177

972384

423040

243380

611432

758690

778777

667009

671453

467565

956663

423518

051388E

330948

,072820

,050324

,352054E

.391003

,830680

.252677

,186869

.771699

.403445

.519801

.781369

.648353

.188674E

.680324*

.741296

.428982

.900736

.104515

.820330

. 818129

Irr.

.389654

.213615

.279961

.271508

.077313

. 040812

Normal Maxima

23287.

24077.

33563.

24359.

24002.

31379.

26329.

26978.

26594.

32822.

29872.

23341.

23605.

26570.

27749.

29542.

32467.

32508.

24363.

26189.

30523.

16760.

29926.

26547.

29906.

23545.

29519.

23752.

32537.

24763.

32135.

24402.

29926.

29869.

26310.

29780.

16755.

29204.

31342.

32860.

32854.

32851.

26978.

34682.

29870.

27253.

31293.

716

346

896

830

370

456

403

455

689

845

518

451

397

374

261

898

516

640

614

488

5 84

385

364

564

326

720

248

678

333

389

310

630

628

247

355

300

288

254

452

429

451

625

486

26308.461

24402.

29938.

31799.

32854.

678

501

349

383

16.

14.

14.

15.

15.

17.

15.

17.

15.

15.

15.

16.

14.

16.

15.

16.

16.

16.

16.

17.

16.

16.

16.

16.

16.

15.

14.

16.

16.

16.

16.

15.

16.

15.

17.

14.

14,

16,

16,

16,

14,

13

16

17

14

16

16

17

14

15

16

17

17

16

16

M

64

55

98

90

94

07

40

56

50

56

58

57

47

86

95

72

10

89

62

25

38

65

36

92

53

78

, 40

, 32

, 00

, 83

, 70

,62

.96

. 85

, 10

. 99

. 81

. 21

. 88

.46

. 75

. 20

. 66

. 64

. 51

. 34

. 78

. 84

. 84

. 82

. 91

. 10

. 44

.48

. 00

m

17.

[17.

16.

17.

17.

17.

17.

18.

16.

16.

17.

17.

15.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

16.

[17.

17.

16.

17.

17.

17.

17.

16.

17.

16.

16.

17.

18.

16.

15.

14.

17.

18.

16.

17.

[17.

18.

16.

16.

17.

17.

18.

17.

16.

32

3

38

31

14

58

20

72

82

83

10

12

72

67

46

6H

65

32

55

98

27

11

13

92

92

51

95

44

63

50

44

34

41

90

91

02

12

21

02

90

28

56

76

18

49

26

8

22

00

97

54

60:

22

22

73

m

17.

15.

16.

16.

17.

16."

16.

16.

16.

17.

16.

17.

17.

17.

17.

17.

16.

16.

16.

17.

17.

17.

16.

17.

16."

17.

16.

17.

15.

15.

16.

17.

16.

13.

17.

18.

15.

16.

18.

16.

17.

17.

17.

16.

16.

08

j

H4

85

86

46

37

38

64

H5

44

99

44

14

20

29

76

93

87

82

63

50

lV34

19

77

19

54

61

51

54

90

80

64

99

41

05

74

86

16

53

27

49:

98

90

46

j

0.

2.

1.

1.

1.

0.

1.

1.

1.

1.

1.

0.

1.

0.

1.

0.

1.

0.

0.

0.

0.

0.

0.

1.

1.

0.

3.

1.

0.

0.

0.

1.

0.

1.

0.

1.

1.

1.

1.

0.

0.

1.

1.

0.

1.

0.

] 1.

0.

1.

1.

0.

0.

0.

0.

0.

\

6 8

75

40

41

20

51

80

16

32

27

52

55

25

HI

51

<)(>

55

43

93

73

89

46

77

00

39

73

55

12

63

67

74

72

45

05

81

03

31

00

14

44

53

36

10

54

98

92

02

38

16

15

63

50

78

74

73

17.

15.

16.

16.

1 7.

16."

16.

16.

16.

1 7.

16.

17.

17.

17.

17.

17.

16.

16.

16.

17.

17.

17.

16.

17.

16.'

17.

16.

17.

15.

15.

16.

17.

16.

13.

17.

18.

15.

16.

17.

18.

16.

17.

: 17.

17.

16.

16.

0

03

75

76

78

43

28

30

54

HI

5')

89

57

04

17

25

71

87

84

77

56

41

10

30

15

65

16

47

55

44

45

83

72

61

90

34

01

61

80

4 :

13

45

23

46:

93

85

41

Obs.

26 5

5 07

3 96

472

509

407

5 04

122

521

52 5

4K2

492

5 56

429

4H7

(95

414

457

399

360

466

477

585

578

319

499

394

470

474

460

528

500

483

510

318

523

506

456

363

490

528

519

484

271

5 04

488

165

305

509

507

427

462

292

462

456
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 153

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

HV

11176

11177

12131

1680

1681

12132

12934*

1682

1683

12133

11357

1685

1686

1687

1688

1689

11358

11359

1690

1691

1693

11178

12134

11363

1694

10361

1695

1696

1697

11179

11180

1699

1700

1701

1702

1703

1704

1705

12137

11365

1706

11366

1709

1710

1711

1712

1713

1714

12138

1715

11181

11367

1716

1717

1718

X

13248

13248

13257

13260

13260

13278

13278

13281

13294

13302

13302

13304

13305

13308

13311

13314

13317

13323

13324

13324

13333

13344

13350

13354

13355

13359

13359

13363

13364

13368

13377

13402

13406

13408

13410

13414

13417

13424

13440

13440

13445

13473

13479

13480

13482

13484

13487

13487

13488

13489

13500

13500

13506

13506

13507

y

4416

12216

11289

11213

12163

11232

13504

7471

9446

10068

13122

7160

8016

9061

7442

10896

10912

9723

12577

13504

8804

8481

11652

9942

9205

9519

11462

10565

10447

4692

8985

12015

7454

7986

9064

13791

9104

9345

1003 8

13284

9877

11658

7146

10294

10993

11187

6640

9928

10494

8574

8370

14010

7178

13701

13124

Published P

6.

1.

1.

12.

4.

1.

6.

1.

2.

3.

4.

5.

3.

1.

14.

2.

2.

2.

5.

2.

1.

3.

2.

2.

6.

1.

1.

4.

34195

258351

81

15

8575

. • .

7758

887:

937:

79

90619

672

370598

935

896

512

31232

9315

976935

08

• • .

• •

02:

•

44614

6.

1.

3.

3.

1.

0.

2.

12.

4.

1.

1.

1.

2.

3.

6.

1.

1.

2.

3.

4.

5.

1.

1.

3.

1.

14.

2.

3.

2.

2.

5.

2.

5.

2.

2.

3.

10.

1.

1.

5.

'... 365.

82561

50578

150061

. 3698

.861892

. 871443

.05014

7.

3.

2.

2.

1.

1.

0.

1.

1.

3.

1.

4.

Period

342160

258329

504149

129851

670054

331516

042288

149930

857411

433883

775839

Irr.

327894

396909

392752

844018

935962

679253

846262

901449

672220

361528

663907

737819

934808

895806

596196

313974

605670

931563

976863

058118

370073

171807

512291

022756

776164

758125

777812

446150

679043

65

894529

825628

509643

150061

897864

902041

Irr.

862245

860929

530702

267728

,870375

,045226

Normal Maxima

31324.

16753.

32860.

32504.

17447.

31729.

33073.

32861.

32681.

3 86

625

340

417

825

387

647

298

809

29780.630

32509.

31313.

34689.

24440.

32419.

29825.

32507.

32441.

29542.

31669.

32419.

34684.

28034.

29870.

26929.

2441 8.

29928.

31611.

31681.

34685.

32851.

26605.

29876.

26566.

26334.

26330.

31274.

403

372

263

733

541

590

306

399

397

540

541

405

526

451

624

737

242

626

542

312

408

579

448

612

320

284

639

32490.255

32006.650

32061.

26573.

32800.

32052.

29135.

27680.

31739.

27756.

26656.

29825.

385

380

381

403

449

356

256

265

590

31698.467

24332.

16787.

27749.

829

591

.451

15.

16.

16.

15.

16.

15.

16.

14.

16.

17.

16.

14.

17.

16.

16.

14.

16.

17.

16.

15.

16.

16.

16.

17.

15.

16,

14.

17.

16,

16,

16,

15,

16,

15,

16.

16,

16,

15,

17,

16

15

16

15

16

16

16

16

16

15

16

16

16

16

16

16

M

84

55

25

77

00

88

92

62

56

68

71

28

53

49

24

55

78

42

04

88

35

48

,36

12:

79

98

, 75

, 12

,25

.25

.32

.96

.54

.67

. 80

.95

. 15

. 10

.25

. 84

.79

.45

.44

. 04

.48

. 15

.48

.94

.95

.23

.67

. 58

.44

.23

. 03

m

16.

17.

17.

16.

17.

16.

17.

16.

17.

18.

17.

15.

18.

17.

17.

15.

17.

18.

17.

17.

17.

17.

17.

17.

16.

17.

15.

17.

17.

17.

17.

16.

17.

16.

17.

17.

17.

15.

18.

17.

17.

17.

17.

17.

80

33

12

31

66

31

52:

36

24

50:

42

05

52

50

44

95

80:

00:

16

10

12

16

16:

94:

97

38

78

86

55

41

20

97

59

58

63

54

35

96

40

93:

43

85

12

40

17. 75

17.

17.

17.

17.

16.

18.

17.

17.

17.

17.

85

08

36

02

82

32

24

61

44

21

m

16.

16.

16.

16.

17.

16.

17.

15.

16.

18.

17.

44

99

79

07

14

08

29

65

97

23

24

18.24

17.

17.

15.

17.

17.

16.

16.

16.

16.

16.

17.

16.

17.

15.

17.

17.

16.

16.

16.

17.

16.

17.

17.

16.

15.

18.

17.

16.

16.

16.

17.

17.

16.

17.

16,

17,

16,

17,

17,

16

14

03

47

65

70:

84

65

82

90

88

70:

49

17

37

63

08

91

90

55

26

44

39

37

94

60

06

49

77

35

94

32

.30

.76

,20

.58

. 77

.96

. 35

. 09

. 77

A

0.

0.

0.

0.

1.

0.

0.

1.

0.

0.

0.

0.

0.

1.

1.

1.

1.

0.

1.

1.

0.

0.

0.

0.

1.

0.

1.

0.

1.

1.

0.

1.

1.

0.

0.

0.

1.

0.

1.

1.

1.

1.

1.

1.

1.

1.

0.

0.

1.

0.

1.

0.

1.

1.

1.

96

78

87

54

66

43

60:

74

68

82:

71

77

99

01

20

40

02:

58:

12

22

77

68

80:

82:

18

40

03

74

30

16

88

01

09

91

83

59

20

86

15

09:

64

40

68

36

27

70

60

42

07

59

65

66

17

21

, 18

( m)

16.

16.

16.

16.

17.

16.

17.

15.

16.

18.

17.

18.

17.

16.

15.

17.

17.

16.

16.

37

94

73

04

03

05

25

53

92

17

19

17

07

95

38

58

66:

76

57

16.77

16.

16.

17.

16.

17.

15.

17.

16.

85

83

65:

41

14

30

58

99

16. 83

16.

16.

17.

16.

17.

17.

16.

15.

17.

84

48

19

38

33

33

86

54

98

17.42

16.

16.

16.

17.

17.

16.

17.

16.

17.

16.

17.

17,

16.

66

24

85

24

19

72

17

.54

66

.92

,27

. 01

.69

Obs.

488

385

323

495

391

500

235

501

497

257

289

509

355

353

484

510

340

195

463

474

452

472

367

261

518

479

527

394

430

419

269

515

464

435

417

349

426

516

247

214

520

481

515

462

391

380

486

519

528

502

341

438

500

423

489
154 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 3.—Results oj observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

H V

839

1719

11368

12139

11369

1720

1722

1725

1726

1727

11370

1728

11372

1729

1730

1731

1732

11373

11374

11375

11376

11377

1733

1734

1735

1736

1737

1738

12935*

1739

1740

1741

1742

11378

11379

1743

11381

11182

1744

1745

1746

12142

840

11383

11384

11385

1747

1748

11386

1749

1750

1751

1752

11388

1753

X

13508

13514

13518

13518

13518

13518

13525

13537

13559

13564

13566

13573

13578

13583

13588

13591

13593

13596

13599

13600

13602

13602

13603

13606

13607

13613

13623

13624

13627

13630

13634

13635

13640

13641

13651

13654

13657

13659

13666

13681

13692

13698

13703

13712

13717

13724

13726

13726

13731

13732

13741

13743

13747

13748

13766

y

15187

8786

9931

10008

11064

11474

8498

6748

8226

13783

9198

8665

10456

8511

8081

8489

13434

11508

9764

12901

7182

12861

12658

9766

9009

11673

10051

6538

8091

7905

9155

7906

10519

10692

9660

9703

10717

12252

11504

9609

7659

11028

11000

10812

10939

9582

7194

8074

6210

11645

10055

11462

8335

8995

8114

Published

2.

531.

1.

1.

2.

3.

1.

3.

2.

1.

1.

4.

4.

1.

4.

1.

4.

1.

39.

12.

33.

2

3

5

2

89973

P

2.

9 531

97098

670872

Irr.

220697

718025

822486

371817

1256

757410

3419

00

906218

8030

41228

8836

9866

312793

67*

6

1

. . .

. 108712

. 56804

. 126391

. . .

. 817679

0.

1.

1.

1.

3.

2.

2.

1.

3.

2.

1.

3.

2.

1.

2.

1.

2.

1.

3.

6.

4.

3.

3.

3.

0.

1.

1.

4.

46.

4.

1.

1.

1.

1.

39.

12.

4.

3.

1.

33.

2.

1.

1.

3,

2

1

3

4

1

5

1

2

Period

899643

484509*

778900

969644

670043

Irr.

808537

636296

220697

940761

717928

242168

822486

371817

144588

754580

Irr.

320821

114956

060101

341414

654730

069029

898838

368013

370181

973442

612928

297493

810168

412280

972615E

987233

492899

325965E

453900

365844

199

623872

561669

338073

937958

03 92 84

.519203

.796361

.526121

.213471

.107428

.514748

.552511

.769900

.656935

.126391

.602015

.817679

Normal Maxima

29108.

31313

27980.

32462.

32879.

31796.

24716.

27783.

32817.

29454.

23341.

29926.

31321.

27779.

25944.

25944.

27341.

29585.

31626.

32473.

32861.

26571.

28040.

32441.

32854.

29877.

31345.

30901.

26626.

32852.

26547.

30575.

34299.

28845.

29927.

26501.

34684.

594

658

2 92

373

310

860

280

346

660

590

333

524

285

340

340

376

264

627

363

253

493

420

399

332

448

385

610

464

298

584

539

297

285

325

621

372

19684. 526

29135.

16787.

31611.

32804.

32467.

32850.

31642.

29867.

34685.

24431

27683

30619

30885

24763

16787

403

589

626

452

374

,246

.644

.456

.312

.682

.401

. 350

.633

. 720

. 589

15.

14.

17.

16.

16.

16.

15.

16.

15.

15.

17.

16.

16.

16.

16.

16.

16.

14.

16.

16.

17.

16.

15.

15.

15.

15.

15.

15.

17.

16.

15.

17.

15.

17.

17.

17.

17.

13.

14.

16.

15.

17,

13

16

16,

17

17

17

16

15

16

15

16

17

16

M

28

78

57

39

12

49

99

37

90

94

18

04

52

57

86

70

30

46

34

33

32

55

32

94

52

20

82

51

.62

, 86

. 54

. 07

. 78

. 15

. 38

. 12

.29

. 89

. 14

, 41

. 40

.21

.48

.65

. 92

. 47

. 32

. 08

. 46

.69

. 57

. 97

. 15

.26

. 18

m

16.

[17.

18.

17.

17.

17.

17.

17.

16.

17.

17.

17.

17.

17.

17.

17.

17.

15.

17.

17.

18.

17.

16.

17.

16.

15.

16.

17.

18.

18.

16.

17.

17.

17.

17.

18.

18.

15.

15.

17.

17.

17.

14.

17.

17.

18.

17.

17.

16.

16

17

17

17

18

17

32

60

30

40

70

61

90

33

62

46

58

01

99

14

86

65

50

10

58

21

03

16

44

10

60

62

91

12

57

00

70

57

20

96

70

15

23

10

27

44

14

75

. 78

40

91

. 18

. 72

, 70

. 86

. 91

. 20

. 10:

.22

.26

.46

m

16.

17.

16.

17.

17.

17.

16.

17.

17.

16.

17.

16.

17.

17.

17.

17.'

16.

17.

16.

16.

16.

16.

15.

16.

16.

18.

17.

16.

16.'

17.

17.

18.

14.

14.

17.

16.

17.

14.

17.

17.

17.

17.

17.

16.

16.

16.

16.

16.

17.

17.

I

02

94

94

30

28

03

29

06

41

67

34

89

55

37

14

24

87

68

87

07

70

14

45

52

62

19

57

34

77

70

83

07

55

86

10

54

52

14

22

48

94

59

43

69

60

88

80:

84

98

11

A

1.

0.

1.

1.

1.

1.

0.

0.

1.

0.

0.

1.

0.

1.

0.

1.

0.

1.

0.

0.

0.

1.

1.

1.

0.

1.

1.

0.

1.

1.

0.

1.

0.

0.

1.

0.

1.

1.

1.

1.

0.

1.

0.

0.

0.

0.

0.

0.

1.

0.

1.

1.

1.

1.

04

82

73

01

58

12

91

96

72

52

40

97

47

57

00

95

2 0

64

24

88

71

51

12

16

08

42

09

61

95

14

16

50

42

81

32

03

94

21

13

03

74

54

30

75

99

71

40

62

40

22

63

13:

07

00

28

( m )

1 5.

17.

16.

17.

17.

16.

16.

16.

17.

16.

17.

16.

1 7.

17.

1 7.

17.

16.

1 7.

16.

16.

16.

16.

15.

16.

16.

18.

17.

16.

16.

17.

17.

18.

14.

14.

17.

16.

17.

14.

17.

17.

17.

17.

17.

16.

16

16

16

16

17

17

95

89

87

19

20

96

24

95

38

61

24

85

48

31

06

16

81

6?

84

00

62

07

42

45

51

13

49

26

'67

65

'76

01

47

78

03

42

48

. 05

17

41

. 89

. 56

, 39

, 66

. 52

. 84

. 72

. 77

. 91

. 02

Obs.

466

157

225

458

466

345

440

489

496

458

43 9

483

248

487

418

455

421

528

550

425

281

421

490

515

503

200

21 1

475

486

201

254

491

321

494

449

449

312

360

511

-,32

526

473

376

524

393

289

317

459

423

482

515

408

: 300

482

366

487
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 155

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

H V

1754

12143

1755

841

1756

1757

1758

12936*

1760

1761

1762

843

1764

1765

843

11184

1766

1767

1768

1769

1770

1771

1772

1773

12148

1774

1775

1776

1777

12937*

11390

12938*

1778

12149

1779

1780

1781

1782

1783

8 4 *

1784

1785

11394

1786

12151

1787

1788

1789

1790

11185

11186

1792

1793

1794

12156

X

13771

13776

13795

13805

13812

13814

13824

13825

13844

13854

13856

13863

13867

13868

13871

13887

13893

13896

13898

13910

13919

13923

13926

13926

13932

13935

13937

13946

13953

13957

13960

13963

13967

13968

13968

13980

13982

13983

13986

14024

14027

14042

14044

14046

14046

14046

14054

14068

14071

14076

14078

14085

14090

14093

14112

y

9074

9942

13686

13274

7154

7484

9206

7507

6025

12156

10326

10884

11286

7160

10860

8559

9244

7532

11946

4760

8654

11117

7755

9166

11832

9019

9285

10014

7343

9590

9952

7213

9084

11370

14787

7514

8499

7194

12834

12823

8746

12444

9910

9534

12198

12266

14254

8970

9393

8190

8643

7311

13204

6699

11478

Published P Period

1.777449

2.9552

1.904893

7. 5019

2.481:

1.471116

2. 104909

4.2897

7. 99348

14.6477

1.726788

1.680441

9. 808210

1. 1267

3.056440

4.899085

2.667278

1.682527

6. 824541

3.214463

1.777449

1.806750

1.505709

1.909333

1.145422

3.889765

7.499625

1.876666

2.481463

1.471125E

2.107633

4.289563

7.935437

2.926638

14.714971

1.726788

1.680441

5.733945

9. 808249

1.126754

3.056440

4. 876621

1.321541

2.667278

1.677202

1.682527

6. 810273

3.749756

1.656485

1.745286

0. 827969

3.714048

3.214370

740.7 741.8

1.78339

3. 963080

8. 14883

2.217580

8. 68274

4. 90

2.9H564

16.22

2. 161022

8. 872721

2.865288

3.734506

4. 18689

1.783390

3. 101381

3.963080

2.855381

8.148830

2.217580

8.682741

4.729944

1.346232

2.911564

4.796347

16.196955

3.478672

2.161022

8.872721

2. 862942

3.734506

3.610043

4. 181441

5.777367

2.018660

Normal Maxima

30665.247

29806.628

32852. 341

23320. 599

29928.283

34690.319

34299.297

27750. 391

32845.299

23596.901

32849.266

26547. 584

32060. 374

31321.524

26308.461

32852.341

30673.239

28371. 501

31342.355

29811.606

24761.749

26244. 371

26626.464

24033. 774

16753.625

21151.521

32854.332

29586.258

29872.455

30882.642

16760.531

26869.645

32861.343

32004

28065.290

29869.462

32854.332

29554.242

26512.623

13861.607

27980.658

31642.644

13893.570

24033. 774

29926.283

24002.830

14604.612

31669.540

32851.349

30648.240

28372.495

26330.284

24821.586

32003.648

30882.642

16.

17.

16.

16.

16.

15.

15.

17.

16.

15.

16.

15.

15.

15.

14.

16.

16.

16.

15.

17.

16.

15.

16.

16.

16.

16.

15.

16.

16.

17.

17.

16.

16.

13.

16.

16.

15.

16.

14.

16.

15.

15.

17.

16.

15.

14.

15.

16.

15.

16.

16.

16.

15.

16.

M

76

54

90

14

96

78

09

12

38

34

60

92

76

65

99

71

87

53

32

30

02

48

94

08

56

84

98

14

60

05

26

35

03

65

50

76

96

59

86

09

36

76

46

49

66

32

75

01

08

81

40

08

76

50

16. 86

m

17.

18.

17.

17.

17.

17.

16.

17.

16.

15.

17.

17.

16.

17.

16.

17.

18.

17.

15.

17.

16.

16.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

[17.

16.

17.

17.

17.

16.

17.

16.

16.

18.

17.

16.

15.

16.

17.

16.

17.

16.

17.

16.

17.

17.

i

27

0 6 :

40

51

80

52

48

77

95

95

70

12

47

19

38

80

16

66

76

84

97

96

98

88

0 0 :

42

07

01

03

46:

98

39

27

0

77

96

39

12

20

58

16

76

31

52

71

54

11

58

2 0

07

95

2 4

97

30

74

m

17. 12

17. 87:

17. 19

17. 16

17.55

16. 91

15. 77

17.48

16.67

17.34

16.69

16.04

16. 75

15. 92

17.43

17. 73

17. 19

15. 55

17.64

16.66

16.36

17.68

17.42

16. 83:

17. 18

16.66

16.69

16. 81

17.26

17.68

17.00

16. 94

16.*64

17.66

16. 93

16. 87

15.55

17. 16

15. 76

16.48

18. 00

17. 19

16.31

15.20

15.99

17. 16

15.66

16. 93

16.72

16. 91

16.50

16.96

17.48

A

0.51

0. 52:

0.50

1.37

0.84

1.74

1.39

0.65

0.57

0.61

1. 10

1.20

0.80

1.54

1.39

1. 09

1.29

1. 13

0.44

0.54

0. 95

1.48

1. 04

1. 80

0. 44:

0. 58

1. 09

0. 87

0.43

0.41:

0.72

1.04

1.24

]3.35

0.27

1.20

1.43

0.53

1.34

1.49

0.80

1. 00

0. 85

1. 03

1. 05

1.22

0. 36

1.57

1. 12

0.26

0.55

1.16

1.21

0. 80

0.88

< m >

17. 09

17. 84:

17. 16

17. 07

17.50

16. 79

15.68

17.44

16.63

17.27

16.61

15.99

16.65

15. 83

17. 36

17.64

17. 11

15. 52

17. 60

16.60

16.26

17.61

17. 30

16. 80:

17. 14

16.59

16.63

16. 78

17.23

17.63

16.93

16. 86

16.62

17. 58

16.83

16. 84

15.46

17.06

15. 71

16.41

17. 94

17. 12

16.24

15. 12

15. 96

17. 05

15. 58

16. 91

16.68

16. 83

16.42

16. 91

17.42

Obs.

4 29

202

470

4 4 0

199

472

512

324

482

500

362

455

527

502

507

368

334

526

500

345

461

501

381

455

355

476

502

4 88

500

441

360

496

4 8 0

134

4 78

508

483

501

503

422

496

4 8 8

212

485

456

506

492

4 6 4

520

373

475

408

490

520

335

797-
156 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

HV

1795

1796

1797

1798

1799

11396

846

1800

1801

11188

12939*

1803

11398

11400

1804

1805

1806

1807

1808

11401

11402

12940*

1809

845

1811

11404

1812

1813

1814

1815

1816

12160

1817

1818

1820

1821

12941*

1822

1823

11189

1824

1825

12942*

12943*

1826

1827

1828

1829

1830

1832

11414

1833

1834

1835

1836

X

14122

14125

14127

14133

14134

14137

14139

14139

14144

14146

14147

14149

14157

14163

14168

14178

14191

14192

14193

14193

14193

14199

142 01

142 06

14212

14225

14235

14236

14237

14245

14247

14250

14264

14265

14274

14276

142 80

14286

14292

14293

142 95

14297

14305

14307

14331

14345

14353

14355

14360

14366

14366

14374

14375

14408

14408

y

9386

10874

9176

8353

10140

10166

7182

10078

7525

8380

8387

5603

10443

10944

10492

9618

10984

13701

8122

9318

11544

9718

12772

9359

11592

9948

9144

10168

9019

9872

9097

11772

10343

8988

9066

4022

7760

8915

7917

9612

7794

12032

13533

13548

10624

12035

6028

10154

9640

7487

10521

8975

6173

9626

11672

Published P

4.

1.

3.

1.

3.

3.

2.

2.

1.

1.

3.

2.

4.

4.

2.

7.

4.

3.

3.

1.

3.

5.

3.

2.

3.

2.

4.

1,

3,

4

3

1

2

16

2

074100

965328

914415

79636

861:

163035

098323

23 76

596

4904

666280

93450

073087

630165

4.

1.

3.

1.

3.

3.

2.

7.

2.

2.

1.

1.

3.

2.

2.

4.

4.

Period

079218

960615

914369

Irr.

796387

860750

163035

038104

279345

098323

Irr.

236086

595507

491785

666213

279576

934522

088458

636777

365±

Irr.

823288

95229

67

. . .

051376

12 8696

667575

628368

458843

244678

894968

3447

042363

. 23

.51659

,60

.29091

.2 98447

.4675:

.328148

. 2382

. 82

7.

2.

7.

5.

1.

3.

3.

1.

2.

3.

2.

2.

5.

3.

0.

5.

2.

3.

2.

3.

4.

2.

2,

1.

4

17,

4

3

2

1

2

0

16

2

Irr.

755305

825761

950832

469861

540272

051376

131655

667575

540702

628368

890416

250731

458843

244678

502753

128021

894968

351611

042359

.003679

.260377

.008089

.714153

.516562

.921478

,195722

.290777

.2 98447

.096854

.467209

.327725

.603578

.244842

.788133

Normal Maxima

34299.

31642.

29566.

32861.

29906.

28034.

16760.

26689.

31379.

23704.

27694.

24404.

31701.

32004.

28065.

29869.

29584.

24332

25890.

31610.

23974.

29778.

28376.

32850.

32879.

26689.

29843.

32852.

31324.

29938.

23340.

29897.

29081.

24716.

26189.

23340.

29199.

24002.

21815.

28371.

32852

16760

32828

24824

26323

29926

26689

16757

23290

31589

26944

25 944

274

644

245

343

385

526

531

282

370

772

363

675

458

637

301

462

258

3 96

650

863

637

572

332

373

282

597

298

3 86

501

586

452

.611

. 860

. 520

.676

. 254

. 830

. 779

. 501

.254

. 531

.3 90

.624

.283

.228

.282

. 542

. 707

.631

.366

. 330

M

15.

16.

15.

16.

16.

16.

16.

16.

15.

16.

15.

16.

16.

16.

15.

16.

16.

16.

15.

14.

13.

16.

15.

14.

15.

17.

16.

15.

17.

16.

16.

16.

16.

16.

16.

17.

16.

16.

16.

16.

16.

15.

16.

15.

16.

15.

16,

15,

16.

16.

17.

16

16

15

16

65

19

52

62

66

48

10

74

88

94

28

15

77

02

22

HO

6 5

22

52

89

6 9

17

86

82

80

33

02

96

09

1 1

24

30

76

55

36

10

64

85

48

24

28

60

. 27

, 99

. 93

. 04

. 55

. 53

. 80

. 70

. 13

.32

. 55

. 00

. 00

m

16.

17.

17.

17.

17.

17.

17.

17.

16.

17.

17.

17.

17.

17.

16.

17.

17.

17.

16.

16.

15.

16.

16.

16.

16.

18.

17.

17.

18.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

16.

17.

17.

17,

16

17.

16.

17,

17

17,

17

17

16

16

76

53

14

39

44

64

40

82

24

91

33

30

89

56

7H

65

98

1 3

97

30

08

90

97

16

82

40

10

25

22

40

40

40

24

38

78

70

30

90

68

25

92

78

. 21

. 00

. 55

. 51

. 98

. 74

. 10

. 38

. 73

.64

. 25

. 40

. 83

m

16.

17.

16.

17.

17.

17.

17.

16.

17.

16.

17.

16.

16.

17.

17.

16.

16.

16.

16.

15.

16.

17.

16.

16.

17.

17.

16.

17.

16.

17.

17.

17.

17.

17.

17.

16.

17.

16.

16.

16.

17.

16.

17.

16.

16.

17.

17.

17.

16.

15.

16.

37

17

66

21

18

08

60

OH

53

94

51

HI

22

57

5 0

75

48

56

62

66

38

97

75

84

78

06

99

03

99

03

36

39

00

48

31

95

42

33

89

62

41

04

38

34

95

18

60

30

90

84

, 57

A

1.

1.

1.

0.

0.

1.

1.

1.

0.

0.

2.

1.

1.

1.

1.

0.

1.

0.

1.

1.

1.

0.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

0.

0.

1.

0.

0.

1.

1.

1.

1.

1.

0.

1.

0.

1.

1.

1.

0.

0.

0.

1.

0.

1,

0,

21

34

62

77

78

16

3 0

08

35

97

1 1

15

12

54

56

83

35

91

45

41

3 9

73

11

34

02

07

02

29

13

29

16

10

48

83

42

60

67

05

20

01

64

18

94

01

. 62

, 47

, 43

, 21

. 30

. 67

, 60

. 32

, 70

. 40

. 83

( m)

16.

17.

16.

17.

17.

16.

17.

16.

17.

16."

17.

16.

16.

17.

17.

16.

16.

16.

16.

15.

16.

17.

16.

16.

17.

16.

16.

16.

16.

16.

17.

17.

16.

17.

17.

16.

17.

16.

16.

16.

17.

15.

17.

16.

16.

17.

17.

17.

16.

15.

16.

29

08

55

16

10

99

53

06

46

86

43

71

12

52

41

6 0

58

51

57

57

31

90

68

75

70

97

91

96

96

98

27

34

96

41

23

88

31

25

83

55

37

94

28

26

93

14

56

21

85

75

51

Obs.

507

338

481

485

459

453

507

214

525

241

499

477

3 38

452

517

395

568

478

49H

5 54

425

522

454

519

481

203

490

466

372

485

464

417

481

434

398

376

433

425

407

450

513

486

320

42 9

405

499

415

513

494

451

453

391

488

526

448
WHOLE VOLUME VARIABLE STAR'S IN SMALL MAGELLANIC CLOUD 157

TABLE 3.—Results oj observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

H V

1837

11415

1838

1839

12944*

1840

1841

11416

12163

1842

1843

11191

1844

12945*

11418

1845

1846

1847

11419

12946*

12164

12165

11421

1848

1849

1850

1851

1852

1853

1854

847

11192

1855

11193

1856

11423

848

1858

1859

12947*

1860

1862

11426

11427

1863

1864

12168

1865

1866

1867

11429

1868

12948*

111 94

1869

X

14417

14421

14424

14425

14426

14428

14439

14442

14442

14444

14445

14445

14453

14454

14460

14461

14462

14471

14472

14498

14502

14502

14508

14515

14515

14536

14538

14548

14552

14562

145 82

145 86

14593

14610

14616

14622

14624

14645

14657

14663

14664

14673

14676

14679

14682

14685

14688

14694

14694

14703

14705

14706

14709

14712

14713

y

8103

9838

8464

6784

7952

9774

9826

6957

12288

9489

6522

13755

8425

6671

•9739

6694

7556

8345

7926

9762

11238

11916

6702

7415

12265

12333

6582

8762

8904

8765

11765

13086

13199

12378

7347

13830

11901

11578

6397

7888

12992

8234

6261

9564

15095

7426

11424

9784

11377

7774

9149

11314

9819

8520

15059

Published

1.548201

2.996506

2. 973182

•. . .

1.960631

2.851269

2.732084

3. 50

2. 77

2.807427

2.605116

27. 2

2.352437

6.83990

6.439648

Irr.

2. 178

6. 15

6.490598

245.45

562.4

3.73339

2. 86 3683

2.142594

1.34618

P Period

1. 548201

0. 774007

2.988312

1.979222

1. 952263

1.704640

2.867038

1.335427

1.141162

2.973182

3.357575

1. 966510

2.851245

1.634446

2.358696

2.437899

3. 368387

2.732084

1.124126

1.632530E

1.833537

1.672056

100. 776E

3.277324

3.492279

2.755618

0. 824853*

2.807427

1.084694

2.609256

27. 057009

2. 354104

6.839898

6.427066

3.693157

Irr.

2. 172770

6. 111834

4. 309732E

1.869295

1.984796

6.490598

1.932495

250. 8

0. 527340

1.943053

1.275772

556

3.724908

1.648701

3.146455

2.861157

3.452228E

2.142594

2.464918

Normal Maxima

29877. 448

32061. 385

34690. 462

26329. 300

29903.227

23751.559

26973.379

23751.559

31345. 385

32023. 603

16758. 644

29484. 460

29896. 383

31379. 370

29847. 558

27697.456

26331.335

16757. 627

26594.450

16758. 644

32861.343

32880. 265

32800. 380

26334. 320

23315.640

26573.519

29877.448

24065.748

24051. 760

29566.245

31674.549

23974. 863

24408. 793

27683.401

34685. 368

31610. 648

24065. 748

29872.455

26547.584

32490.255

26929. 624

26595

31611.626

29869. 389

26945.394

28043

24821.590

24404. 670

31729.387

32467. 374

16758.650

26244.371

29903.400

M

16. 76

17. 85

16. 43

16. 68

17. 04

16. 82

16. 78

17.65

16. 95

15. 88

15. 82

16. 30

15. 84

17. 27

17. 39

16. 14

15. 78

15. 70

17. 34

17. 13

16. 93

16. 35

16. 78:

16. 97

15. 18

15. 62

15. 60

16. 47

16. 80

15. 86

13. 71

15. 77

15. 95

16. 08

16. 14

12. 59

16.25

15. 23

15. 11

17. 04

16. 64

15. 29

15. 53

16. 94

16. 53

17. 06

16. 71

15. 40

15. 72

16. 60

16. 97

15. 91

17. 59

16. 07

16. 13

m

18. 07

18. 24

17. 49

18. 00

17. 88

17. 42

17. 62

18. 64

17.44:

17.48

17. 04

17. 07

17. 34

17. 73

18. 10

18. 08

17. 35

17.40

18.48

17. 62

17. 86

17. 51

16.95:

17. 94

17. 00

17.25

16. 16

17. 62

17.44

17. 58

15. 08

17. 36

16. 40

17. 00

17.30

13. 55

17. 63

16.22

15. 78

17. 84

17. 10

16.62

16.28

[18. 00

17. 18

18. 00

17.29

18. 70

16. 83

17. 80

17.48

17. 03

17. 73

18. 00

16. 84

m

17. 72

18. 07

17. 09

17. 58

17. 45

17. 15

17.29

18. 37

17. 30

17. 00

16. 54

16. 89

16. 88

17. 58

17. 75

17. 46

16. 91

16. 96

18.20

17. 58

17. 18

17. 59

16.23

16. 70

15. 88

17. 19

17. 17

17. 08

14. 61

16. 88

16. 21

16. 51

16. 87

17.25

15. 82

17. 40

16. 89

16. 08

15. 98

16. 94

17. 70

17. 14

16.47

17. 54

17. 27

16. 73

17.40

16. 60

A

1. 31

0. 3 9

1. 06

1. 32

0. 84

0. 60

0. 84

0. 99

0.49:

1.60

1.22

0. 77

1. 50

0.46

0. 71

1. 94

1. 57

1. 70

1. 14

0. 49

0. 93

1. 16

0. 17

0. 97

1. 82

1.63

0.56

1. 15

0.64

1. 72

1.37

1. 60

0.45

0. 92

1. 16

0. 96

1.38

0. 99

0.67

0. 80

0.46

1. 33

0. 75

]1.06

0.65

0. 94

0. 58

3.30

1.11

1.20

0. 51

1. 12

0. 14

1.93

0. 71

( m )

17. 63

18. 04

17. 02

17. 49

17. 39

17. 11

17. 23

18. 30

17.27

16. 89

16.46

16. 84

16. 78

17. 55

17. 70

17. 33

16. 80

16. 85

18. 12

17. 50

17. 10

17. 52

16. 11

16. 59

15. 84

17. 11

17. 13

16.96

14. 52

16. 77

16. 18

16.45

16.79

17.16

15. 75

17. 35

16. 86

15. 99

15. 93

16. 90

17. 64

17. 10

16.40

17.46

17.24

16.65

17.27

16. 55

Obs.

323

317

4 7 0

481

42 3

469

414

353

337

486

453

4 6 0

455

2 5 4

264

499

5 04

465

293

4 5 7

271

299

503

4 8 4

227

472

492

411

42 9

437

533

4 0 9

505

503

507

5 06

413

504

517

417

500

496

505

242

193

420

286

303

467

4 1 0

3 04

467

380

416

398
158 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

H V

1871

1872

1873

11195

1874

1875

1876

1877

1878

11435

1879

1880

1881

1882

1883

1884

11436

1885

1886

1887

11438

1888

11441

1889

11196

1890

12949*

1891

1892

1894

11443

1896

1897

1898

11446

1899

1900

12170

1901

1903

1904

1905

1906

11447

12171

1907

1908

12172

1909

850

12173

1910

1911

1913

1914

X

14744

14754

14764

14767

14774

14775

14794

14805

14813

14818

14826

14826

14831

14835

14835

14836

14844

14846

14847

14859

14864

14871

14875

14879

14883

14888

14893

14894

14904

14909

14943

14980

14984

14999

15000

15O02

15004

15006

15007

15021

15023

15026

15041

15042

15042

15045

15074

15078

15079

15083

15084

15086

15088

15093

15100

y

14984

8796

10718

9087

10673

8266

11155

12128

7585

10500

6244

10720

9551

7275

15844

11765

8988

9636

6884

7154

9055

7242

8871

8824

8934

14051

14863

12640

13494

6314

14964

6530

15083

13586

4422

7653

8589

11706

14301

11024

6385

12164

15486

8922

11418

14906

9553

12138

7394

12522

11664

7400

7714

6626

9106

Published P

1.

12.

1.

3.

3.

2.

49.

1.

18.

3.

1.

1.

3.

5.

3.

1.

3.

5.

7.

3.

1.

2.

300855

91

758622

353263

103258

757997

6

Irr?

976231

11

3283

311638

778540

45

66277

4810

241356

02432

. . .

1208

41

06551

643255

.534545

1.

3.

12.

1.

3.

3.

2.

49.

5.

1.

4.

2.

3.

2.

18.

1.

2.

1.

2.

1.

3.

2.

3.

1.

i.

0.

3.

5.

1.

1.

3.

1.

3.

0.

4.

3.

0.

3.

5.

1.

7.

3.

0.

3.

1.

3.

1.

4.

2.

5.

1.

2.

3.

3.

Period

300860

088278

941131

758622

349848

103258

758309E

667

548958

577145

363782

Irr.

225759

930679

013109

116598

047160

802212

584349

503104

322865

509831

156009

327986

311653*

778540

474978

451489

653194

445706

722887

458999

241317

018713

497787

760545

212614

811079

573097

094892

858453

416802

065511

863009

355693

643280

206115

603857

947874

532453

049689

534557

016629

044984

971579

Normal Maxima

32136.

31108.

32879.

26945.

24418.

34690.

32880.

27750.

29870.

27683.

29514.

26656.

29519.

29826.

29872.

32878.

32011.

31650.

24787.

31313.

32503.

29867.

34682

29135.

29811.

26331.

27746.

32804.

24716.

27650.

32861.

29877.

16757.

32135.

26322.

29897.

29897.

29881.

24468.

32136.

29906.

26949.

31669.

28078.

26949.

32136.

26563.

26973.

29554.

29811.

27746.

31296.

26328.

27749.

259

274

373

391

737

319

311

478

495

401

379

265

364

5 04

455

5 96

5 98

654

6 82

372

365

456

.321

403

606

335

529

452

860

633

298

448

542

248

285

452

228

449

688

259

327

367

540

342

.367

.259

.608

,379

,242

.606

.441

.478

.373

.451

M

16. 73

15. 66

14. 5 5

17. 05

15. 54

16. 32

14. 79

13. 34

15. 69

17. 02

16. 38

14. 60

16. 67

16. 96

16. 80

14. 54

17. 24

15. 98

17. 30

16. 70

17. 27

16. 08

17. 07

16. 44

17. 31

16. 94

16. 54

15. 49

15. 84

16. 98

16. 71

16. 36

16. 80

15.66

16. 44

15. 39

16. 40

17.21

17. 19

15. 35

17. 02

15.20

16. 12

16. 88

16.26

16. 41

16. 33

16. 59

14. 78

15. 97

15. 46

17. 30

16.27

16. 16

15. 86

m

17.

16.

16.

17.

16.

17.

15.

14.

16.

17.

17.

15.

17.

17.

17.

16.

17.

17.

18.

18.

17.

17.

17.

17.

17.

17.

17.

17.

16.

18.

17.

17.

17.

16.

17.

16.

17.

17.

17.

16.

18.

16.

17.

17.

16.

17.

17.

17.

16.

17.

17.

18.

16.

17.

16.

75

50

24

80

90

48

53

56

65

99

19

19

76

74

42

01

70

62

19

03

72

39

72

70

85

85

46

18

70

15

54:

60

28

50

82

61

91

91

81

72

08

38

44

52

73

42

40

42

81

45

00

32

79

72

92

IT

17.

16.

15.

17.

16.

17.

14.

16.

17.

16.

17.

17.

17.

15.

17.

17.

17.

17.

17.

16.

17.

17.

17.

17.

17.

16.

16.

17.

17.

17.

17.

16.

17.

16.

17.

17.

17.

16.

17.

15.

17.

17.

16.

17.

16.

17.

16.

17.

I

47

12

49

49

49

13

05

20

15

91

44

44

16

58

48

10

93

55

48

94

45

23

59

63

11

74

27

75

23

27

07

31

39

06

53

67

57

21

80

93

03

27

57

13

99

15

12

06

16.48

17.

16.

17.

16.

87

55

26

46

A

1. 02

0. 84

1. 69

0. 75

1. 35

1. 16

0. 74

1.22

0. 96

0. 97

0. 81

0. 59

1. 09

0. 78

0.-62

1.47

0. 46

1.64

0. 89

1. 33

0.45

1. 31

0. 65

1.26

0. 54

0. 91

0. 92

1.69

0. 86

1. 17

0.83:

1.24

0.48

0. 84

1. 38

1. 22

1. 51

0. 70

0.62

1. 37

1. 06

1. 18

1.32

0. 64

0. 47

1. 01

1. 07

0. 83

2. 03

1.48

1. 54

1. 02

0. 52

1.56

1. 06

( m

17.

16.

15.

1 7.

16.

17.

1 3.

16.

1 7.

16.

17.

1 7.

1 7.

1 5.

1 7.

16.

1 7.

17.

1 7.

16.

1 7.

17.

17.

17.

17.

16.

16.

17.

17.

17.

17.

16.

17.

15.

17.

17.

17.

16.

17.

15.

16.

17.

16.

17.

16.

17.

15.

16.

16.

17.

16.

17.

16.

>

40

06

38

44

40

05

97

14

6 9

86

57

5 9

12

28

45

99

87

4(>

45

85

41

15

55

57

05

63

21

67

18

19

04

26

30

98

43

62

53

12

73

85

94

23

54

06

92

09

98

96

38

80

52

16

39

Obs.

284

476

529

225

519

461

526

510

502

484

496

532

570

48 5

455

515

2 97

433

570

449

210

5 06

319

386

350

435

344

5 04

485

312

269

475

397

470

365

485

451

464

435

518

367

511

428

412

470

398

391

484

513

500

409

205

464

464

496
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 159

TABLE 3.— Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

HV

11450

1915

1916

1917

1918

1919

1920

1 1451

1922

1 1452

1923

1924

1925

11455

1926

1927

1928

11458

1929

1930

1931

1932

1933

1934

1935

1936

10364

1937

12950*

1938

10365

1939

1940

1941

1942

1943

11460

1944

851

1945

1946

1947

1948

1949

1950

1951

11463

10366

11464

1952

1953

1954

1955

1956

1957

X

15104

15114

15114

15114

15126

15129

15140

15147

15154

15159

15164

15165

15167

15186

15191

15194

15206

15208

15214

15224

15226

15226

15234

15237

15240

15241

15246

15258

15258

15271

15273

15281

15292

15295

15308

15310

15312

15327

15328

15332

15338

15344

15355

15356

15356

15360

15378

15381

15393

15394

15397

15397

15399

15406

15406

y

9916

6701

7673

9053

8223

14918

9583

7407

9514

6864

11763

7895

10474

12363

9677

9382

8887

12650

13025

10008

8592

9090

12454

13381

10115

6828

14487

9985

11791

8684

14586

8255

7504

7630

11224

8800

9660

6845

10347

12964

8817

10009

9050

8054

12925

7998

14292

4461

9438

9640

10347

11614

10684

9725

10672

Published

2.6447

1.718573

3. 0992

2. 562289

17. 18

3. 5919

1. 6618

1.44089

5.59381:

13. 80

4. 88210

1.503053

1.2600

2.84102

1.620313

4.685052

6.46868

7.97086

5. 084

1. 7628:

14. 263

16. 71

209

5. 30200

P

2.

1.

1.

2.

2.

1.

3.

1.

2.

515.

2.

3.

17.

i .

5.

1.

1.

5.

1.

2.

2.

13.

4.

2.

3.

1.

1.

9.

2.

1.

1.

1.

1.

2.

1 .

1.

4.

4.

6.

4.

2.

1.

3.

7.

5.

1.

14.

4.

2.

Period

972801

577073

996813

644705

170935

718591

099199

308274

905313

73

566228

215858

199567

Irr.

591696

084556

662646

440845

584440

455729

691051

436544

780938

874815

465447

234686

503052

882679

087687

693363

258093

668090

253062

549727

841071

621936

787467

277416

685052

468724

468974

937384

401956

616610

990220

083367

755276

135674

Irr.

188271

007613

16.700904

2.

209.

5.

457685

9958

319262

Normal Maxima M

34689. 458

26547. 584

29514. 379

32851.254

34690. 370

26566.612

31697. 371

28078. 342

26508. 640

29847

29826. 594

31655.524

30262. 346

32880. 399

29784.626

23340. 676

24462.659

32441. 361

23824. 400

29847. 591

26572.516

26347.271

33563.346

29877.448

25881.416

27750. 389

16757.627

29876.448

23288. 713

30593. 593

26565. 502

23732.610

29811.606

28845.285

32879. 275

27783.280

23347.528

21815. 779

29135.403

27694. 363

24065. 748

25881. 416

33129.642

24761.749

26264.443

33172.348

17476. 649

29876.448

23654.886

29958. 306

29585.264

27184

27980.658

16. 74

17. 28

16. 31

16. 06

17. 44

16. 32

15. 42

17. 32

16. 60

15. 45

15. 95

15. 68

13. 70

17. 17

15. 54

16. 18

16. 86

16. 98

15. 63

16. 87

16. 65

16. 58

14. 17

15. 60

16. 19

16. 35

17. 27

17. 00

14. 98

16. 06

16. 38

16. 98

17. 06

16. 81

15. 62

17. 22

17. 20

16. 90

15. 70

15. 27

16. 40

16. 24

17. 03

16. 56

15. 44

15. 11

17.45

14. 44

14. 29

15. 60

16. 27

13. 60

16. 45

11. 89

15. 31

m

17. 72

17. 96

16. 80

17. 36

18. 19

17. 62

17. 10

18. 20

17.66

[17. 80

17. 31

17. 16

14. 90

18. 00

17. 47

17. 36

17. 78

17.66

16. 22

17. 81

17. 38

17. 78

15. 16

16. 80

17. 72

17. 88

18. 10

18. 12

16.49

17. 14

17. 52

17. 96

18.22

18. 18

17. 00

17. 98

17. 86

17. 82

17. 17

16.46

17. 37

17. 05

18. 04

17.60

16. 06

16. 66

18. 00

15. 54

15. 69

16. 75

17. 11

14. 87

17. 00

13. 14

16. 96

m

17. 33

17. 76

16. 58

16. 85

17. 95

17.25

16. 55

17. 88

17.29

16. 96

16. 75

14. 44

16.'93

16. 95

17. 54

17. 46

15. 98

17. 57

17. 07

17.42

14. 69

16. 40

17. 19

17. 36

17. 91

17. 72

15. 72

16.68

17. 15

17. 71

17. 92

17. 88

16.68

17. 73

17. 63

17. 47

16. 50

16. 01

16. 92

16. 76

17. 71

17. 22

15. 78

16. 01

17. 81

15. 13

16. 33

16. 74

14.28

16. 75

12. 41

16.47

A

0.

0.

0.

1.

0.

1.

1.

0.

1.

1 2.

1.

1.

1.

0.

1.

1.

0.

0.

0.

0.

0.

1.

0.

1.

1.

1.

0.

1.

1.

1.

1.

0.

1.

1.

1.

0.

0.

0.

1.

1.

0.

0.

1.

1.

0.

1.

0.

1.

1.

1.

0.

1.

0.

1.

1.

98

68

49

30

75

30

68

88

06

35

39

48

20

83

93

18

92

60

59

94

73

20

99

20

53

53

83

12

51

08

14

98

16

37

38

76

66

92

47

19

97

81

01

04

62

55

55

10

40

15

84

27

55

25

65

< m >

17. 26

17. 71

16. 55

16. 76

17. 90

17. 16

16.44

17. 82

17.22

16. 87

16. 65

14. 36

16. 80

16. 88

17. 48

17. 42

15. 94

17. 51

17. 02

17. 34

14. 62

16. 32

17. 09

17. 26

17. 85

17. 65

15. 62

16.61

17. 07

17.64

17. 84

17. 79

16. 59

17. 68

17. 59

17. 41

16.40

15. 93

16. 85

16. 71

17. 65

17. 53

15. 74

15. 91

17. 78

15. 06

16. 25

16.68

14.20

16. 71

12. 33

16. 36

Obs.

350

389

462

4 2 4

319

290

483

302

444

303

486

453

527

427

471

490

287

383

491

381

522

3 94

512

4 88

346

4 78

377

268

514

510

399

431

329

401

469

242

280

471

492

496

452

479

294

381

499

477

324

521

533

479

464

518

517

407

521
160 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

HV

12175

1958

362-12

11466

1959

1961

212

206

1962

1963

1964

1965

11470

1966

1967

1968

1969

1970

1971

1972

10367

11472

11473

1973

1974

1975

1976

11478

1977

1978

853

11197

1979

1980

1981

11479

12179

214

1982

11198

1983

1984

1985

1987

1988

1990

1992

1993

1994

852

12181

11199

11482

1995

X

15408

15417

15424

15425

15425

15438

15467

15472

15474

15477

15500

15500

15525

15534

15537

15546

15550

15554

15567

15567

15573

15582

15585

15586

15586

15610

15624

15630

15639

15649

15650

15654

15656

15668

15673

15696

15702

15708

15712

15714

15715

15718

15723

15728

15740

15750

15754

15764

15785

15789

15792

15792

15810

15814

y

11592

14567

16704

9822

11105

7266

16488

16597

11898

10365

8545

10624

10554

11626

12425

12724

6969

13732

5683

11301

14934

14652

9096

7402

11204

6556

14292

9477

9473

12586

6404

13392

10030

8771

11206

8340

12042

16402

14925

12192

13715

7381

8214

13150

6706

6732

4793

6134

11552

11804

11088

12960

9216

9213

Published

1.

2.

8.

2.

2.

4.

29.

1.

3.

2.

3.

2.

2.

1.

2.

7.

1.

2.

5.

1.

3.

3.

5.

2.

1,

3.

2

5

33444

99652

78596

Irr.

09414

52046

Irr.

285

1

459875

339712

431:

351689

5410

...

'885437

8997

...

73197

33326

074196

720267

2255

.618050

43843

,130851

. . .

...

,02563

, 8441

,307855

.197953

.101953

. 0128

P

1.

1.

0.

1.

2.

4.

3.

107.

8.

330

2.

2.

4.

28.

29.

1.

2.

3.

2.

3.

2.

1.

1.

Period

876768

334426

652545

211246

993797

429267

901449

8*

786497E

±

092773

524309

Irr.

269964

9357

0533

458571

570978

336301

432522

351689

768726

049538

472806

7.480607

2.

4.

1.

3.

2.

7.

1.

6.

2.

2.

1.

480

4.

5.

: 1.

3.

2.

1.

3.

6.

1,

5.

2

4,

3

1

2

2

5

893108

700419

903073

008234

Irr.

738848

334443

073493

296595

820007

722555

879212

±

205197

224855

.618050

,438435

,545092

.391115

.130802

.561163

.842724

.048695

. 849043

.213400

.197953

.783024

.095233

.930205

.012808

Normal Maxima M

31702.

26561.

32508.

33172.

31436.

29927.

16755.

29958.

16757

32473.

31782.

29784.

27755.

26566.

32854.

21813.

23605.

26331.

34690.

16754.

29554.

29911.

31108.

32822.

32878.

13888.

29585.

32878.

32854.

24787.

30264.

32880.

29870.

32059

32878.

14604.

29927.

33104.

32879.

29839.

32852.

32854.

30935.

459

637

261

340

340

402

628

306

363

262

636

401

612

285

786

845

335

267

598

242

283

274

403

396

576

264

305

332

682

346

265

451

305

612

435

622

326

571

254

383

512

32509.348

24331.

29780.

31681.

34682.

26547.

32850.

32037.

824

630

542

472

584

391

601

16.

17.

16.

17.

16.

16.

16.

14.

15.

15.

16.

16.

15.

15.

13.

16.

16.

15.

16.

16.

17.

16.

16.

15.

15.

16.

17.

16.

16.

16.

14.

16.

15.

16.

16.

16.

15.

14.

15.

16.

15.

15.

16.

[

63

08

49

04

00

21

52

00

02

90

78

28

48

20

70

55

78

73

77

09

04

92

79

69

73

46

08

85

76

29

85

56

84

58

50

94

96

94

17

84

26

88

73

15. 74

15. 90

16. 91

15.

16.

15.

15.

16.

16.

16.

16.

89

12

70

67

34

84

58

32

m

17.

18.

17.

17.

16.

17.

17.

15.

15.

18.

17.

17.

16.

16.

15.

17.

18.

17.

17.

17.

17.

17.

17.

16.

17.

17.

18.

18.

18.

16.

16.

17.

17.

17.

17.

17.

17.

16.

16.

17.

16.

17.

17.

17.

16.

17.

16.

18.

17.

16.

16.

17.

17.

17.

84

03

09

72

89

58

55

50

67

56

86

26

24

45

00

12

08

11

52

07:

76

77

98

60

29

25

08

09

00

70

15

33

02

74

60

53

60

27

03

21

85

70

98

21

98

92

96

00

04

95

73

96

73

70

rr

17.

17.

16.

17.

16.

17.

17.

14.

17.

16.

16.'

14.

16.

17.

16.

17.

16.

17.

17.

17.

16.

16.

16.

17.

17.

16.

15.

17.

16.

17.

17.

17.

15.

15.

17.

16.

17.

I

29

80

88

46

49

12

20

72

52

99

14

36

92

66

58

15

75:

45

38

58

15

86

95

76

62

51

70

02

48

35

22

35

84

63

06

43

17

17. 56

16.

16.

17.

16.

17.

16.

16.

16.

17.

17.

17.

71

51

56

64

41

60

60

60

61

40

02

A

1.

0.

0.

0.

0.

1.

1.

1.

0.

2.

1.

0.

0.

1.

1.

0.

1.

1.

0.

0.

0.

0.

1.

0.

1.

0.

1.

1.

1.

0.

1.

0.

1.

1.

1.

0.

1.

1.

0.

0.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

0.

1.

1.

1.

21

95

60

68

89

37

03

50

65

66

08

98

76

25

30

57

30

38

75

98:

72

85

09

91

56

79

00

24

24

41

30

77

18

16

10

59

64

33

86

35

59

82

25

47

08

01

07

88

39

28

39

12

, 15

.38

( m )

17.

17.

16.

17.

16.

17.

17.

14.

17.

16.

16.

14.

16.

17.

16.

17.

16.

17.

17.

17.

16.

16.

16.

17.

17.

16.

15.

16.

16.

17.

17.

17.

15.

15.

17.

16.

17.

17.

16.

16.

17.

16.

17.

16.

16.

16.

17.

17.

16.

21

74

84

41

43

03

13

62

45

92

06

27

88

57

49

10

68:

40

32

51

09

76

90

69

54

48

61

97

40

27

15

31

75

57

04

32

05

48

61

44

49

57

28

51

51

57

53

32

93

Obs.

235

360

445

294

471

511

441

200

515

432

343

505

500

501

493

379

3 96

480

472

287

438

322

322

514

474

490

418

364

451

495

522

440

515

381

415

408

478

444

414

484

493

465

240

485

500

357

479

417

492

494

488

416

383

443
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 161

TABLE 3.—Results oj observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

HV

1996

1997

1998

11200

11201

1999

11483

2000

2001

2002

11202

11484

11485

2004

11203

2006

2008

2009

2010

854

2011

2012

10368

2013

11486

2014

2015

2016

2017

2018

2019

2020

2021

2022

2023

2024

2025

2026

855

10369

2027

2028

11204

857

11487

2029

2030

2031

2032

2034

2035

2036

2037

2038

2039

X

15830

15833

15844

15846

15849

15865

15870

15875

15886

15893

15924

15927

15927

15946

15963

15966

15976

15981

15984

15994

16014

16016

16029

16032

16044

16054

16055

16066

16084

16092

16107

16108

16115

16116

16119

16119

16126

16134

16142

16143

16154

16160

16164

16173

16179

16185

16190

16195

16200

16207

16224

16233

16242

16254

16262

y

93 86

6333

12365

6102

12327

13820

11865

11766

8214

13015

9564

10860

14244

10579

10830

7045

8093

7146

9820

7824

8062

7684

5103

13554

8571

13366

14776

11665

12832

8683

11707

7444

11878

12364

7452

8864

7557

10653

7994

4362

11392

8042

10326

6117

8817

10138

8484

11343

7907

6954

11586

7807

6865

9852

13824

Published P

0.

1.

2.

1.

1.

2.

2.

2.

4.

1.

1.

15.

1.

2.

2.

2.

2.

11.

4.

1.

2.

1.

3.

4.

32.

2.

2.

3.

11.

2.

2.

5.

1.

8331956

4676:

40717

325492

6567

881545

3447

156027

97:

50708

642184

95

6715

85038

200796

87414

95446

4072

40

629527

491051

30887

86

34263

9618

9702

985271

099468

9831

93690

79

248655

,97945

14.

1.

0.

1.

2.

1.

1.

2.

1.

2.

2.

4.

1.

1.

1.

1.

4.

1.

0.

15.

1.

1.

2.

2.

2.

2.

2.

1 1.

4.

1.

0.

2.

1.

1.

3.

2.

4.

32.

2.

2.

3.

3.

11.

1.

2.

2.

5.

3.

1,

2.

3.

2.

1.

Period

240957

611796

833196E

4676:

403583

967818

656762

884088

338848

346362

292595

967660

209275

507086

642184

364970

707921

977355

656520

953034

Irr.

443737

662267

857789

590942

203742

874156

954107E

407450

742146

629511

616453

489228

308877

932868

908311

577227

342576

941331

948731

982519

688962

099468

982936

291626

936978

794475

,248655

Irr.

.156177

.979254

,501551

.368761

,613415

.123134

Normal Maxima M

23593.899

21815. 779

24462.659

34682.472

32441. 361

21815. 769

31998.632

23340.586

29871.460

23340.586

33150. 580

32800. 380

32880. 399

34690. 370

32861. 343

29204. 247

32851.408

32828. 390

29867.456

31800.288

16759.606

24745. 829

29938. 501

29135.403

24033.774

31697.371

32003.648

28374.453

29839. 571

26313.268

29867.456

24824. 624

32838.390

30507.635

29926. 538

29839. 571

29454.660

31799.291

32818.369

27727. 294

31800.288

32475. 373

29927.277

29808. 570

25892.327

31324.386

21813. 786

29868.460

34682. 378

29926.333

30673.250

31342. 355

27980. 654

15. 24

16. 16

14.64

17. 37

16. 18

16.45

16. 85

15. 92

16. 94

16. 08

16.63

15. 15

17. 27

16. 79

17. 03

16. 88

15. 56

17. 06

16. 20

14.22

16. 50

17. 05

16. 50

15. 79

16.69

16.23

16. 97

14. 30

14. 56

16. 18

16.47

17. 38

16. 52

17.23

16.40

15. 36

15. 34

15. 72

14. 34

16. 36

15. 92

15. 74

15. 81

14.22

16. 72

15.36

16. 52

15.20

16.66

16. 04

16.63

16. 35

15. 57

15. 53

17.38

m

16. 78

17. 57

15. 77

17. 95

17. 58

17. 82

17.40

17. 17

17. 95

17.42

17.29

16. 90

18.33

17.65

17. 71

17. 84

16.60

17. 82

16.65

16. 12

16. 99

17. 82

17. 85

17. 57

17.69

17. 16

17.46

15.35

15. 80

17. 09

17.57

17.66

17.64

18. 09

17.66

16.55

16. 90

16. 92

15. 03

16. 90

17.43

16.58

16. 80

15.50

17.47

17.21

17.53

16.99

17. 55

17.53

17.60

17.02

16.53

17. 18

18. 11

m

16. 17

17. 18

17. 73

17. 13

17. 52

17.22

16.85

17. 52

17. 01

16. 96

16. 16

17. 99

17. 39

17. 37

17. 54

16. 20

17. 54

16.42

15.28

17. 51

17.53

17. 16

17.26

16. 91

17. 30

• • •

15. 34

16.69

17.26

17. 54

17. 37

17.93

17. 36

16. 18

16.40

16.52

14.68

16.65

17. 03

16. 30

16. 54

14. 84

17. 12

16. 74

17. 17

16.30

17.' 04

17. 06

16.68

16. 14

16. 77

17. 88

A

1.54

1.41

1. 13

0. 58

1.40

1.37

0. 55

1.25

1.01

1.34

0.66

1. 75

1. 06

0. 96

0. 68

0. 96

1. 04

0. 76

0.45

1. 90

0.49

0.77

1.35

1.78

1. 00

0. 93

0.49

1. 05

1.24

0. 91

1. 10

0.28

1.12

0.76

1.26

1.19

1.56

1.20

0.69

0. 54

1. 51

0. 84

0. 99

1.28

0. 75

1. 85

1. 01

1.79

0. 89

1.49

0. 97

0.67

0. 96

1.65

0. 73

<m>

16. 07

17. 09

17.69

17. 04

17. 43

17. 18

16. 77

17.45

16. 92

16. 92

16. 04

17. 92

17. 33

17.32

17. 77

16. 13

17.49

16. 39

15. 15

17.46

17.44

17.04

17. 19

16.85

17.26

15.26

16.63

17. 19

17.52

17.30

17. 88

17.28

16. 10

16.30

16.44

14.63

16.61

16. 93

16.24

16.47

14. 75

17. 07

16.62

17. 10

16. 18

16.'94

17. 00

16.64

16. 07

16.66

17. 83

Obs.

515

400

513

407

443

365

372

486

274

354

440

222

290

366

235

238

403

273

482

513

205

230

383

415

379

419

377

527

507

444

424

367

454

264

384

475

438

515

521

468

496

401

486

528

380

461

437

515

390

448

444

455

488

467

285
162 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

H V

2040

2041

11205

2042

2043

2044

11206

11488

2045

10370

11489

2046

2047

2049

2050

2051

2052

2053

2054

2055

2056

2057

2058

11490

11491

2059

2060

2061

2062

2063

2064

2065

12951*

2066

2067

2068

856

11492

2069

12952*

2070

11207

11494

11495

2075

2076

2077

2078

10371

2079

2080

11496

2081

X

16291

16292

16299

16302

16322

16324

16326

16329

16331

16332

16338

16342

16352

16360

16366

16368

16386

16400

16403

16405

16413

16414

1643 7

16440

16440

16456

16478

16486

16504

16504

16505

16506

16521

16532

16546

16574

16583

16584

16605

16611

16619

16623

16638

16650

16650

16662

16684

16689

16692

16694

16703

16704

16705

y

10534

10637

10845

9784

13454

7305

12828

9522

13975

5679

8034

12721

8033

12578

7345

9468

8589

13208

13284

14575

11258

13234

12744

8772

11073

13345

11400

10244

9284

13178

10526

9966

10603

10166

12727

14204

14153

8028

10308

12162

9905

10242

9720

6600

9324

13614

9085

15713

4989

10884

8678

7710

10203

Published P

6.

5.

3.

0.

3.

2.

2.

2.

2.

3.

12.

3.

7.

3.

2.

1.

3.

2.

10.

11.

33.

3.

1.

12.

2.

2.

3.

2.

1.

4.

1.

3.

2.

7.

12359

92179

816022

'6032495

399471

85226

4772

553763

800893

26

575

219886

118096

52591

305688

906767

688893

842568

18447

166230

7

43868

80619

155

87427

456978

.46

.499041

39

. 74

, 5241

.013319

. 79

.60792

Period

6.

5.

3.

2.

0.

0.

112096

911249

802571

618130

603217*

603334

0. 802974*

3.

1.

2.

2.

1.

2.

3.

2.

2.

3.

12.

3.

7.

3.

2.

1.

3.

3.

2.

2.

10.

2.

1.

11.

33.

3.

29.

3.

1.

12.

2.

2.

7.

3.

2.

1.

1.

1.

4.

2.

1.

4.

1.

3.

2.

2.

7.

399471

942815

847232

477345

110743

557713

453981

800893

872111

225973

57498

219796

165295

544907

308962

909013

684718

788955

878319

859993

18447

242726

424031

166230

663233

043955

989504

Irr.

435033

807181

155307

960884

874273

182360

710850

449509

580251

390353*

390556

027581

499111

395878

707034

524111

007808

778719

982155

607628

Normal Maxima

32466.

34684.

30528.

31680.

26573.

32860.

32850.

32878.

32878.

26594.

24824.

23605.

31799.

26328.

26564.

27756.

29926.

26571.

32142.

32441.

31397.

33172.

24402.

29100.

24686.

32849.

23752.

32850.

29199.

24761.

32849.

26632.

27749.

32473.

32490.

23288.

29927.

25944.

32061.

26565.

26510.

32504.

29108.

32800.

26605.

32878.

26341.

33071.

31398.

32466.

3 94

314

640

531

519

256

289

257

305

456

624

845

291

373

625

265

283

490

259

361

251

348

678

560

855

404

564

391

254

749

266

395

451

363

255

713

325

340

385

502

624

261

594

380

579

396

281

620

246

394

M

15.

15.

15.

15.

14.

17.

16.

16.

16.

16.

17.

16.

16.

15.

15.

15.

14.

16.

15.

16.

16.

16.

15.

15.

16.

16.

14.

16.

15.

14.

13.

15.

14.

14.

15.

16.

14.

15.

15.

15.

15.

17.

16.

17.

16.

16.

16.

16.

16.

15.

16.

16.

14.

:

50

32

49

91

70

02

27

26

08

42

00

30

46

96

58

32

21

47

60

60

07

60

99

90

18

34

35

00

98

89

71

26

22

54

88

09

52

67

76

40

60

21

60

13

33

11

86

12

43

84

40

16

74

m

16.

16.

16.

17.

15.

17.

16.

17.

17.

16.

17.

16.

17.

17.

17.

17.

15.

17.

16.

17.

17.

17.

16.

16.

16.

17.

15.

16.

17.

16.

15.

16.

15.

15.

16.

16.

15.

16.

16.

16.

16.

17.

17.

17.

17.

16.

17.

16.

17.

17.

17.

17.

15.

70

61

58

70

54

66

67

51

42

96

41

79

32

40

05

28

47

40

42

40

37

75

78

96

78

30

27

62

42

18

18

81

31

82

92

60

92

91

93

01

94

53

14

80

43

90

86

92

50

38

72

44

62

16.

16.

16.

17.

15.

17.

16.

16.

17.

16.

17.

16.

17.

16.

16.

16.

14.

17.

16.

17.

17.

17.

16.

16.

16.

16.

14.

16.

17.

15.

14.

16.

14.

16.

16.

15.

16.

16.

15.

16.

17.

16.

17.

17.

16.

17.

16.

17.

16.

17.

17.

15.

34

1 3

28

19

25

38

55

98

04

76

28

57

00

99

52

63

99

06

09

15

01

3 3

54

58

54

99

86

35

01

63

26

32

90

54

37

47

46

53

70

51

37

91

47

08

60

52

62

10

97

31

15

25

A

1.

1.

1.

1.

0.

0.

0.

1.

1.

0.

0.

0.

0.

1.

1.

1.

1.

0.

0.

0.

1.

1.

0.

1.

0.

0.

0.

0.

1.

1.

1.

1.

1.

1.

1.

0.

1.

1.

1.

0.

1.

0.

0.

0.

1.

0.

1.

0.

1.

1.

1.

1.

0.

2 0

29

0<)

7 9

84

64

40

25

34

54

41

49

86

44

47

96

26

93

82

80

30

1 5

79

06

60

96

92

62

44

29

47

55

09

28

04

51

40

24

17

61

34

32

54

67

10

79

00

80

07

54

32

28

88

( m )

16. 26

16. 04

16. 21

17. 07

15. 19

17. 34

16. 52

16. 90

16. 95

16. 72

17. 25

16. 54

16. 94

16. 89

16. 42

16. 50

14. 91

17. 00

16. 04

17. 10

16. 92

17. 25

16. 50

16. 51

16. 50

16. 93

14. 80

16. 31

16. 91

15. 54

14. 16

16. 22

14. 83

16. 47

16. 34

15. 38

16. 38

16. 45

15. 66

16. 42

17. 35

16. 87

17. 43

17. 01

16. 55

17.45

16. 57

17. 03

16. 87

17. 22

17. 06

15. 19

Obs.

528

530

46 9

3 88

382

2 96

488

329

36 3

437

441

473

457

458

445

441

529

433

482

3 94

465

295

483

457

522

405

528

486

420

486

539

464

538

521

450

429

469

470

459

513

438

347

417

451

408

414

322

432

311

478

367

431

418
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 163

TABLE 3.—Results of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

H V

2082

12953*

2084

2085

2086

10372

2087

2088

12954*

858

11208

2089

2090

2091

2092

2093

2095

2096

12955*

11497

2097

2098

11498

11499

11209

2099

2101

2102

2103

11500

2104

2105

10373

2106

10375

2107

11502

2108

2109

2110

2111

11503

2112

10376

2113

2114

2115

2116

10377

2118

12956*

2119

2120

X

16715

16720

16733

16742

16749

16765

16779

16784

16787

16795

16797

16799

16804

16806

16808

16820

16825

16827

16834

16841

16843

16845

16860

16860

16860

16866

16876

16906

16908

16908

16922

16922

16929

16931

16947

16948

16959

16961

16964

16965

16969

16974

16991

16992

17004

17011

17012

17034

17043

17049

17050

17054

17054

y

7544

6690

7566

13754

8236

5895

11182

14526

6415

12185

11985

8916

9406

5634

12632

9673

10375

8074

9206

7807

8336

12871

8691

9294

13860

7413

9161

15132

8131

13773

11642

12544

14334

10426

15069

14447

13068

11327

13124

13444

4915

9108

10164

14832

10452

14436

14235

6234

14655

9048

14774

10614

13027

Published P.

Irr.

3. 716671

3. 58

1.52301

9. 15919

14. 322

3. 83273

1. 30193

3. 75

0. 5332815

1.77155

2.219514

5. 09

1. 20

3.16393

1.935175

2. 17

0. 5140561

8. 9839

1.7899

2.72170

Irr.

3.07465

6.0035

2.4115

2. 502803

1.320183

1.763081

Period

2.712460

2.060420

R CrB

3.716671

3.789458

1.520168

9. 159187

14.578832

8.826671

3.832724

1.300882

3.825657

0. 539090

0. 533280

1. 771551E

1. 828382

1.828214

2.222553

2. 011024

2.825034

1.278946

1.198709

3.163960

1.389549

2.950000

1.928373

2.160121

0. 692515

0. 514051*

8. 984080

1.789818

2.712666

Irr.

3.074643

Irr.

5. 938101

2.411440

Irr.?

2.506661

1.321779

1.763122

1.758372

1.509484

607.2 608

2.4180

5.632978

2.456094

3.75626

1.63640

2.99

2.407301

5.662258

2.450566

1.785176

3.751937

1.636410

2. 987518

517.47

7. 24034

2.612904

7.272674

2.610736

Normal Maxima

23341.590

32804.452

24763. 720

29869.462

29811. 606

31697.371

32462.292

34690. 319

26568. 516

24404. 670

31796.310

16760.614

31397. 251

30547. 583

31976. 647

24761. 749

27658.416

24065. 740

29784.636

32851. 349

26308.461

16755.544

29847. 587

26189.516

31642.644

24431.682

32854.332

32824.400

27786. 361

32845.251

16760. 614

24417. 779

29868.460

32880. 355

23667.803

30901.610

33211.448

32880

28380.640

31293.606

32860. 346

26949.367

29927.402

31398. 246

31345. 388

31436

32142.259

29778. 637

M

15. 84

16.23

13. 95

16. 05

15. 11

16. 78

15. 44

14. 14

15. 87

15. 50

16. 42

16. 59

16. 18

14. 48

16. 12

16. 15

15. 98

17. 48

16. 42

16. 52

16. 60

16. 37

16.62

16. 16

16. 27

16. 06

16. 38

15. 48

15. 24

16. 35

15. 96

16. 12

15. 58

16. 00

16. 33

15. 70

16.66

15. 89

16. 82

16. 20

16. 75

16.62

13. 00

15. 90

16. 17

15. 95

16. 54

16. 36

16. 54

16.31

15. 38

15.67

16. 82

m

17.40

17.54

15.60

17. 05

17. 10

17.20

16.22

16. 23

16.56

17. 00

17.32

17. 54

17. 74

15. 50

17. 08

16. 75

17.20

17. 98

17.02

17. 70

17.66

17. 13

17. 90

16. 92

17. 10

17. 84

17. 27

17.08

16.30

17. 18

17. 12

17. 50

17.08

16.50

17. 08

17.43

17. 30

16.76

17.42

17. 02

17. 36

17. 56

[17. 80

16. 76

16. 77

17.46

17.34

17.20

17.32

17.38

[17. 75

16.45

17.32:

m

16. 94

17. 35

16. 68

16.29

17. 01

15. 78

15. 48

16. 25

16. 50

17. 06

17. 16

17. 32

15. 17

16.43

16. 77

17. 81

16. 73

17. 39

17.27

16. 96

17. 52

16. 58

16. 72

17. 30

16. 86

16.42

15. 75

16. 84

16. 53

16.'66

16.'76

16. 96

16.'56

17. 18

16.64

17. 18

17.23

16. 38

16. 51

17. 06

17. 09

16. 90

17. 12

17. 03

16. 09

17. 08

A

1.56

1.31

1.65

1. 00

1. 99

0.42

0.78

2. 09

0.69

1. 50

0. 90

0. 95

1.56

1. 02

0. 96

0. 60

1.22

0. 50

0. 60

1. 18

1. 06

0. 76

1.28

0. 76

0. 83

1.78

0. 89

1.60

1. 06

0. 83

1. 16

1. 38

1. 50

0. 50

0. 75

1.73

0.64

0. 87

0.60

0. 82

0. 61

0. 94

] 4 . 80

0. 86

0.60

1. 51

0. 80

0. 84

0. 78

1. 07

]2. 37

0. 78

0. 50:

( m )

16. 84

17. 26

16.61

16. 13

16. 98

15. 73

15. 34

16.21

16.46

17. 00

17. 09

17.22

15. 10

16. 39

16.69

17. 78

16.69

17. 31

17. 20

16. 91

17.43

16. 53

16.66

17. 18

16. 80

16. 31

15.68

16. 78

16.45

16.'56

16. 71

16. 84

16. 50

17. 14

16. 59

17. 14

17. 16

16. 32

16.47

16. 96

17. 04

16. 84

17. 07

16. 96

16. 04

17. 05

Obs.

438

319

4 9 0

408

476

4 5 0

524

468

4 9 7

497

415

422

421

492

489

363

395

300

477

379

362

4 4 4

328

4 8 4

413

351

461

4 1 8

492

415

473

4 7 0

388

461

423

383

496

4 9 4

384

387

374

455

323

451

4 5 8

378

348

469

354

4 5 0

168

518

421
164 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 3.—Resulis of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

H V

2121

2122

2123

2124

2125

2126

859

2127

2128

2129

2130

10378

2131

2132

2133

2134

2135

10379

2136

10380

12957*

2137

2138

2139

2140

2141

2141

11511

2143

2144

2145

11512

2146

2147

2148

2149

2151

2152

2154

2155

2156

2157

2158

2159

2160

2161

2162

2163

2164

2165

2166

2167

2168

10381

X

17063

17065

17070

17074

17085

17093

17098

17104

17108

17119

17136

17139

17148

17153

17177

17184

17194

17199

17204

17211

17228

17245

17259

17264

17294

17297

17303

17304

17305

17328

17334

17334

17335

17346

17347

17373

17407

17413

17468

17503

17507

17517

17523

17528

17543

17545

17582

17585

17585

17591

17623

17624

17634

17643

y

10509

13338

9048

14912

9114

10305

10222

12623

12055

13914

10772

4956

14804

9105

9982

9924

9108

14994

14243

6348

5705

9104

10558

12526

3766

9164

14794

12444

9575

7851

8865

14613

9220

9123

9076

14393

14246

12082

9744

9178

14807

9606

15495

9928

11582

13825

9664

8615

10799

13531

12606

10071

13477

6438

Published P

0.

1.

2.

6.

4.

2.

573.

1.

2.

4.

2.

2.

4 .

3.

2.

3.

4 .

2.

1.

8.

6.

4 .

2.

3.

2.

3.

3.

6.

3.

6867

7750

00:

06454

831

90568

39 !

83085

268759

72322

5949

98176

00

4166

91

4876:

4759

03316

45

13597

5167

96

79

55

76674

79328

33413

. 6 8

, 0193

Period

0. 686908*

0. 686931

1.775036

2.034551

6.064539

4.844562

2.903061

581. 96

1. 830875

2. 268759

4. 729917

2. 019915

0. 720539

2.960042

4.006124

3.229595

2.416804

2.854977

3.483796

4.482065

2. 030636

1.131560

1.445555

3.437439

2.879809

8. 115697

2.421202

6.490233

Irr.

2. 548160

5.942971

4.941147

0. 988300

1.802097

1.430679

3.317442

2.769072

3.811053

1.380363

3. 192787

2. 944608

2.299232

3.169060

3.333967

1.523523

3. 346353

5.739025

5.632320

6.693010

4. 769157

2. 886543

2.509613

2.273591

3.046718

3. 008185

Normal Maxima

32537.326

29542. 397

26563.608

30575. 539

32732.610

32011

29811. 606

32852. 298

24304. 858

32851.254

32037. 518

32850. 289

31670. 549

29938. 453

25850. 393

31589.631

29958. 306

32800.380

24716. 860

32845.251

29826. 589

31739. 356

16755.628

23667.803

23341. 689

29204. 247

32062.363

24380. 743

16760. 780

30575. 539

23681.809

24821. 586

16754. 596

27650. 630

24745.830

29927.278

26949. 367

17447. 825

32011.598

32850. 289

16758. 644

26312.267

32880. 399

29074.650

27755.401

27707. 376

23341. 590

27683.401

32860. 300

28376. 572

24417. 779

27750. 391

M

15. 97

16. 44

16. 48

15. 26

15. 84

16. 00

13. 73 [

16. 22

15. 85

15. 43

17. 19:

16. 18

16. 20

16. 50

15. 42

16. 12

16. 36

16. 37

15.27

16. 50

16.62

17. 40

16.41

15. 54

15. 58

15. 60

14. 64

16. 10

15. 76

15. 97

16. 04

16.40:

16.44

16. 99

17. 00:

16.28

16. 00

16. 53

15. 78

15. 54

15. 91

16. 24

15. 15

16.43

16. 05

14. 36

16.24

16. 18

15.23

16. 35

16. 12

15. 47

16. 05

16. 15

m

16. 72

17. 38

17. 60

16. 17

17. 26

17. 41

18. 5

16. 62

16. 92

16. 77

17. 41 :

16. 45

17. 30

17.66

16. 85

17. 18

17. 72

17. 20

16. 80

17. 70

17. 27

17. 99:

17. 06

16. 90

16. 77

17. 27

16.26

16. 78

16. 99

17. 28

17. 09

17. 09

17. 30

17. 97

17. 38:

17.40

17. 13

17. 74

17. 26

15. 93

17. 16

17. 19

15. 82

17.21

16. 60

16.47

17. 01

16.66

16.62

17. 51

17. 43

17. 18

17. 24

17. 06

m

16. 53

17. 16

17. 37

15. 79

16.67

16. 82

16. 43

16. 55

16. 24

17. 33

16. 34

16. 93

17. 19

16. 44

16. 86

17. 25

16. 94

16.28

17. 26

16. 94

17. 80

16. 84

16. 54

16. 26

16.68

15. 53

16. 69

16. 70

16.62

16. 86

16. 92

17. 85

17.20:

17. 04

16.68

17.40

16.89

15. 72

16. 76

16. 93

15. 56

16. 85

16.36

15. 73

16. 74

16.47

16. 10

17. 10

16. 94

16.63

16. 82

16. 80

A <m>

0.73 16.48

0. 94 17. 10

1.12 17.29

0. 91 15. 73

1. 42 16. 57

1.41 16.73

] 4 . 77

0.40 16.40

1.07 16.48

1. 34 17. 15

0.22: 17. 32:

0.27 16.32

1.10 16. 86

1.16 17. 1 1

1. 43 16. 34

1.06 16.79

1. 36 17. 16

0. 83 16. 88

1. 53 16. 18

1.20 17. 18

0.65 16.90

0. 59: 17. 76

0.65 16. 80

1.36 16.45

1. 19 16. 18

1.67 16.57

1.62 15.42

0.68

1.23 16.61

1.31 16.61

1.05 16.55

0.69: 16. 81

0.86 16.86

0.98 17.78

0. 38: 17. 17:

1.12 16.96

1.13 16.62

1. 21 17. 32

1.48 16. 79

0.39 15.69

1.25 16.68

0.95 16.87

0. 67 15. 51

0.68 16. 80

0.55 16.32

2. 11 15. 59

0.77 16.69

0.48 16.44

1. 39 16. 01

1.16 17. 02

1. 31 16. 85

1. 71 16. 52

1.19 16. 74

0.91 16.75

Obs.

482

383

436

434

473

370

220

468

4 58

471

4 78

475

376

485

504

433

452

359

4 5 4

373

3 84

280

466

455

485

462

461

484

497

489

496

272

427

287

447

386

419

412

446

514

444

467

444

494

458

514

483

522

506

431

407

450

466

404
WHOLE VOLUME VARIABLE STAR'S IN SMALL MAGELLANIC CLOUD 165

TABLE 3.— Results oj observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).— Continued

11V

2169

2170

2171

2172

11517

2173

2174

2175

2177

2178

2179

2180

2182

2 183

2 184

2185

2186

861

2187

11518

11519

1 1520

2188

2189

2190

11521

2192

2193

2194

11523

2195

11524

2196

862

103 82

2197

2198

2199

2200

2201

2202

2203

2204

11527

11528

2205

11530

10383

2206

11531

2207

11532

2208

2209

2210

X

17644

17651

17655

17667

17694

17695

17706

17737

17749

17774

17775

17776

17892

17844

17846

17847

17859

17860

17871

17880

17934

17943

17945

17946

17958

18018

18097

18103

18132

18138

18166

18186

18215

18215

18219

18266

18292

18298

18323

18338

18386

18386

18443

18492

18504

18513

18570

18591

18596

18606

18615

18720

18757

18774

18774

y

14496

15414

842 3

12204

1246 8

14324

14395

14668

6965

9168

14454

1 1164

1 1104

14649

7410

13 865

14455

10474

10335

5748

9933

101 19

13270

10618

10518

9546

9554

9721

13999

11616

9904

10431

9922

13426

6264

7894

13683

14005

14154

12444

9775

13133

14295

13280

13062

6044

14109

7236

11161

12720

13400

11472

9824

6366

13394

Published P.

1.

2.

3.

6.

2.

i.

1 3.

41.

5.

2.

1.

1 1.

13,

26

3

3

22

74991

98884

03699

4300

2873

6233

Irr. ?

45

7815

790

47732

4384

. 25

, 2

. 04

.531678

.21277

. 7

Period

1.

2.

2.

1.

3.

6.

4.

2.

2.

1.

0.

2.

3.

1.

3.

2.

4.

2.

2.

1.

3.

1 3.

2.

2.

3.

2.

3.

1.

41.

2.

3.

5.

2.

1.

6.

4.

2

1 1.

13.

5.

2

4

2

25

2

3

2

4

2

3

22

2

748006

988864

Irr.

562346

295794

031310

429336

210763

282549

992632

405161

685890

812180

537532

622441

690300

067745

413842

968883

Irr.

869377

626238

712066

459131

573948

427265

007754

746566

500543

367884

809912

264649

408125

789717

475501

438424

064465

577015

.465313

,252644

.182314

, 962282

.528560

.593755

.579047

.432997

.949948

.531678

.440239

Irr. ?

.814729

.033686

.212749E

.650006

.919222

Normal Maxima

26572.

24461.

26973.

513

641

379

27756.256

23344.

29778.

26502.

16758.

28034.

29906.

31324.

28776.

31655.

24787.

32819.

30593.

21816.

13861.

24745.

30665.

24304.

27746.

29927.

25850.

29839.

29927.

31675.

32878.

24408.

26981.

31274.

24402.

32828.

29081.

29813.

31739.

32537.

26573.

27756.

29897.

23338.

32752.

31801.

26319.

29074.

28804.

25850.

26570.

27750.

24787.

32854.

30648.

538

637

647

559

526

234

386

476

524

682

3 98

5 93

787

607

830

247

858

529

236

393

571

325

572

3 96

793

369

639

678

390

611

648

356

326

519

256

452

634

564

286

275

646

381

393

518

391

682

3 83

337

M

16.

15.

16.

16.

16.

15.

15.

14.

16.

15.

16.

15.

15.

15.

16.

15.

16.

14.

15.

14.

15.

16.

16.

14.

15.

15.

15.

15.

15.

16.

12.

16.

15.

15.

16.

16.

15.

15.

16.

14.

14.

15.

15.

15.

15.

14.

16.

16.

15.

15.

15.

16.

15.

13.

15.

05:

29

75

27

15

28

24

55

2 9

76

53

96

84

51

42

19

20

81

65

88

57

67

76

50

74

47

92

48

56

71

99

64

94

32

34

63

32

63

06

60

34

16

45

70

65

28

46

37

82

85

82

58

02

55

26

m

16.

16.

17.

17.

16.

17.

16.

16.

17.

17.

17.

16.

16.

17.

17.

16.

16.

16.

16.

15.

16.

17.

17.

15.

16.

17.

17.

16.

17.

17.

14.

17.

17.

16.

17.

17.

16.

16.

16.

15.

15.

16.

16.

16.

16.

16.

17.

17.

16.

16.

16.

73

59

77

34

48

10

44

59

65

16

50

44

90

00

40

80

82

40

90

90

1 1

75

23

80

77

27

22

66

05

65:

27

49

11

15

64

40

58

70

83

90

39

40

79

67

89

12

09

61

28

31

58

16. 93

15.

14.

16.

91

74

90

m

16.

16.

17.

16.

16.

15.

16.

17.

16.

17.

16.

16.

16.

17.

16.

16.

15.

16.

15.

17.

17.

15.

16.

16.

16.

16.

16.

17.

13.

17.

16.

15.

17.

17.

16.

16.

16.

15.

14.

15.

16.

16.

16.

15.

16.

17.

16.

16.

16.

14.

16.

45

15

02

34

57

90

40

22

65

13

24

47

52

14

37

50

71

47

88

18

00

15

40

75

85

25

66

34:

76

19

59

81

22

08

16

29

58

32

98

81

31

28

54

55

91

23

07

20

79

23

45

A

0.

1.

1.

1.

0.

1.

1.

2.

1.

1.

0.

0.

1.

1.

0.

1.

0.

1.

1.

1.

0.

1.

0.

1.

1.

1.

1.

1.

1.

0.

1.

0.

1.

0.

1.

0.

1.

1.

0.

1.

1.

1.

1.

0.

1.

1.

0.

1.

0.

0.

0.

0.

0.

1.

1.

68:

30

02

07

33

82

20

04

36

40

97

48

06

49

98

61

62

59

25

02

54

08

47

30

03

80

30

18

49

94:

28

85

17

83

30

77

26

07

77

30

05

24

34

97

24

84

63

24

46

46

76

35

89

19

76

( m )

16.

16.

16.

16.

16.

15.

16.

17.

16.

17.

16.

16.

16.

17.

16.

16.

15.

16.

15.

17.

16.

15.

16.

16.

16.

16.

16.

17.

13.

17.

16.

15.

17.

17.

16.

16.

16.

15.

14.

15.

16.

16.

16.

15.

16.

17.

16.

16.

16.

14.

16.

40

06

95

32

45

82

25

13

56

07

21

40

42

07

26

46

60

39

85

11

97

06

33

63

76

16

56

28:

68

13

51

75

13

01

08

22

53

23

91

73

22

22

46

43

87

15

04

15

77

15

33

Obs.

423

363

449

464

419

388

466

406

346

435

216

489

472

365

419

489

409

474

441

503

481

250

42 9

510

437

405

393

438

493

176

518

31 1

383

474

379

418

474

499

274

483

510

457

3 82

459

427

512

471

2 02

475

452

458

435

490

511

447
166

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

VOL. 9

TABLE Z.—Resvlts of observations (* in Column 1 denotes newly discovered variables; in Column 5

denotes variable periods).—Continued

H V

11534

2211

11536

11537

2213

2214

2215

2216

11540

2217

11541

2218

2219

11542

2220

2221

10384

2222

11544

11545

2223

2224

2225

2226

2227

2228

2229

863

2230

2231

11546

2232

2233

2234

103 85

865

X

18822

18846

18972

18987

19034

19101

19134

19137

19161

192 05

19221

19313

19314

19350

19456

19512

19539

19604

19662

19788

19865

19943

20158

203 74

20661

20893

21018

21397

21764

22120

22146

22155

23178

23438

23535

23924

y

13281

10442

5001

9999

13420

14174

4889

13836

10338

9194

10284

9207

13425

11850

8547

13333

9993

8905

11922

14910

7166

10324

3833

7129

4305

10639

5414

5445

8985

7120

9267-

7113

4830

10574

9207

2424

Published P

9. 17498

2.39816

1. 7828

4.37905

1. 9747

20. 0

6. 70

4. 70

13. 2086

1.89983

Irr.

10. 45

29. 0

12. 52

36. 7

Irr.

Irr.

15. 2

0. 5402149

6.9774

33. 3

Period

1.688563

5.095061

0. 569098

Irr.

3.786521

82 ±

9. 174396

2.679895

0.870331*

2.259640

1.397722

2.396421

1.400598

1.738064

4. 379522E

4. 235353

1.972354

19. 985803

3.472644

Irr.

6.700442

4. 703865

13.154599

1.900934E

12.466963

Irr.

10. 448011

28. 961606

12.526122

36.67924

Irr.

Irr.

15. 172204

0. 5402149

7. 037199

33.326668

Normal Maxima

29566. 245

25892.327

26593. 551

32037. 518

26304.269

32508. 406

30528.640

29825. 590

29897. 452

29825. 590

33563. 346

29808.570

31291.478

27715.399

30935.512

32850. 200

23595.881

23605. 845

23288. 713

29870. 451

29808. 570

24815. 593

32052. 381

32034. 503

32845. 251

31734. 237

26945. 391

26978. 452

30561.604

M

16. 17

15. 84

16. 36

16. 15

14. 90

16. 05

14. 94

15. 38

16. 61

16. 20

16. 44

15. 37

15. 68

16. 30

15. 90

15. 34

16. 34

14. 27

15. 49

15. 12

14. 91

15. 57

15. 24

15. 69

15. 38

13. 90

15. 15

13. 58

15.66

14. 16

12. 59

13. 80

14. 32

14. 32

15. 78

14. 07

m

16. 87

16. 48

16. 90:

16. 71

16. 34

16. 91

16. 05

16.78

17.22

16. 84

17. 04

17. 14

16. 62

17. 23

16. 59

16. 75

17. 61

15. 70

16. 60

15. 59

16. 33

16. 38

16. 03

16. 37

16. 43

15. 30

16. 18

15. 65

16.26

15. 66

13. 38

16. 80

15. 80

15. 36

16. 58

15. 59

m

16. 58

16. 26

16. 64:

15. 80

15. 55

16. 37

16.97

16. 52

16. 75

16.63

16. 20

16. 83

16. 27

17. 28

15. 20

16. 23

15. 84

16. 06

15. 63

15. 97

15. 74

15. 00

15. 97

15. 21

15. 24

15. 07

16. 29

15. 09

A

0. 70

0. 64

0. 54:

0. 56

1. 44

0. 86

1. 1 1

1. 40

0. 61

0. 64

0. 60

1. 77

0. 94

0. 93

0. 69

1. 41

1. 27

1. 43

1.11

0. 47

1. 42

0. 81

0. 79

0. 68

1. 05

1. 40

1. 03

2. 07

0. 60

1. 50

0. 79

3. 00

1. 48

1. 04

0. 80

1. 52

( m )

16. 53

16. 22

16. 60:

15. 70

15. 48

16. 28

16. 93

16. 48

16. 71

16. 51

16. 14

16. 77

16. 18

17. 19

15. 10

16. 16

15. 74

16. 01

15. 58

15. 89

15. 67

14. 86

15. 93

15. 11

15. 14

15. 02

16. 24

14. 99

Obs.

440

423

3 07

4 04

326

353

481

4 30

266

3 99

341

375

416

166

46')

409

40 3

361

413

437

452

427

438

450

440

475

452

451

438

442

406

442

439

434

397

42 3
167

TABLE 4.—Light-curve parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods)

HV

12132

814

12949

11368

11446

1821

809

2102

1863

2091

2090

2234

1595

11536

1510

11229

2043

1834

11212

1738

2020

11238

362-12

2010

12932

2180

2121

2101

10378

1327

810

11415

11289

2044

12170

1851

11390

1715

11447

11540

12912

11512

11436

11472

11197

1853

11489

11375

2039

11419

1769

12902

12957

1515

12163

1756

12091

11347

11260

12098

2097

12914

11485

11466

1897

1505

1940

11222

10365

11177

12089

12128

12168

11497

1678

12114

12093

11143

11487

11517

Period

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1,

1.

1.

1,

1

1 •

1,

1.

1.

1.

1,

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

331516

371546*

474978

484509*

497787

502753

509104*

514051*

527340

533280

539090

540212

547478

569098

570857

584136

603344*

603578

606288

612928

616453

618163

652545

656520

671453

685890

686931*

692515

720539

726109*

736327*

774007

788189

802974*

811079

824853*

827969

862245

863009

870331*

885430

988300

047160

049538

073493

.084694

,110743

.114956

,123134

, 124126

,126754

. 130463

,131560

,140726

.141162

.145422

.170326

.186869

.187552

.193612

.198709

.205423

.209275

.211246

.241317

.251220

.253062

.253912

. 258093

. 258329

. 270844

.271508

.275772

. 278946

. 279961

. 280633

.281473

.290208

.291626

.295794

log P

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0,

0.

0.

0,

0.

0

0

0

0

0

0

0

0

4795

4300

3233

3147

3030

2986

2932

2890

2780

27 30

2683

2674

2616

2448

2435

2335

2195

2193

2174

2126

2101

2089

1853

1828

1730

1637

1631

1596

1423

1390

1329

1113

1033

0953

0909

0836

0820

0644

0640

0603

0429

0051

0200

0210

0308

0352

0456

0473

0504

0508

0518

0533

0537

0572

0573

.0590

.0683

.0744

,0747

0769

0787

,0811

,0825

,0832

,0939

.0973

.0980

,0983

.0997

.0998

. 1041

. 1043

. 1058

.1068

.1072

.1074

.1077

. 1107

.1111

. 1125

M(

15.

13.

16.

17.

16.

17.

13.

15.

16.

14.

16.

14.

15.

16.

15.

16.

14.

16.

15.

15.

17.

16.

16.

15.

16.

15.

15.

16.

16.

16.

13.

17.

16.

17.

17.

15.

17.

15.

16.

16.

17.

16.

16.

0

73

99

14

31

44

10

51

17

53

48

18

32

93

36

82

31

50

55

40

02

08

54

49

95

03

96

97

38

18

00

45

63

90

02

21

24

00

75

49

61

24

40

85

16.40

16.

16.

16.

16.

17.

16.

17.

16.

16.

16.

16.

16.

16.

16.

16.

17.

16!

17.

16.

16.

16.

17.

16.

17.

15.

16,

16,

17,

16,

16

16

16

17

16

16

16

56

52

70

33

09

99

30

54:

62

92

93

,47

96

80

82

82

60

00

,85

,74

,40

,06

, 58

. 21

.92

.52

.88

. 14

.63

.52

.66

.76

.05

. 50

.44

. 14

mc

16.

14.

17.

18.

17.

17.

14.

17.

17.

15.

17.

15.

16.

16.

16.

17.

15.

17.

15.

16.

17.

17.

17.

16.

16.

16.

16.

17.

16.

16.

14.

18.

17.

17.

17.

15.

17.

16.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

18.

17.

17.

l

16

68

06

04

82

70

68

00

18

50

74

36

83

90

79

29

34

25

87

63

36

02

09

40

49

44

72

27

45

88

63

02

62

66

91

80

72

34

13

22

76

09

31

25

33

16

11

21

82

13

84

80:

17. 27

17.

17.

17.

17.

17.

17.

18.

17.

17.

17.

17.

16.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17,

17,

17,

16,

50

42

31

34

61

70

4

66

62

91

42

88

71

74

85

06

30

77

92

, 21

,70

.16:

.86

.47

.40:

. 19

.48

A

0.

0.

0.

0.

1.

0.

1.

1.

0.

1.

1.

1.

0.

0.

0.

0.

0.

0.

0.

1.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

1.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

1.

0.

1.

0.

0.

0.

0.

0.

0.

0.

1.

0.

1.

0.

0.

0.

1.

0.

1.

0.

0.

0,

0,

1,

0,

1

0

0

0

0

43

69

92

73

38

60

17

83

65

02

56

04

90

54

97

98

84

70

47

61

28

48

60

45

46

48

73

89

27

88

18

39

72

64

70

56

72

59

64

61

52

69

46

85

77

64

41

88

73

14

,54

26:

65

58

49

84

,38

81

88

06

,62

06

,68

,48

,65

,16

,64

,14

.78

,89

.78

.58

. 18

. 50:

. 10

.42

.90:

.75

.33

(m)

15.

14.

16.

17.

17.

17.

14.

16.

16.

15.

17.

15.

16.

16.

16.

16.

14.

16.

15.

16.

17.

16.

16.

16.

16.

16.

16.

16.

16.

16.

14.

17.

17.

17.

17.

15.

17.

16.

16.

16.

17.

16.

17.

16.

16.

0

90

29

65

63

30

34

25

30

90

10

22

02

55

60

47

87

99

85

61

02

22

76

84

14

22

21

48

80

32

54

16

82

27

36

62

48

37

06

84

93

46

81

06

80

97

16.75

16.

16.

17.

17.

17.

17.

16.

17.

17.

17.

17.

17.

17.

18.

17.

17,

17.

17.

16.

17,

17.

17,

16,

16,

17,

17,

17,

17,

17

17

17

16

16

16

95

81

, 54

, 77

60

,03:

90

24

25

01

11

25

24

1 ?•

20

,40

. 50

. 11

.64

. 41

,36

.49

,61

.93

.36

,63

.02

. 31

.02:

.40

.27

.89:

.79

.32

xo

15.

14.

16.

17.

17.

17.

14.

16.

16.

15.

17.

15.

16.

16.

16.

16.

14.

16.

15.

16.

17.

16.

16.

16.

16.

16.

16.

16.

16.

16.

14.

17.

17.

17.

17.

15.

17.

16.

16.

16.

17.

16.

17.

16.

17.

16.

16.

16.

17.

17.

17.

17.

i

90

32

74

68

29

39

19

26

92

13

20

01 .

50

70

43

90

98

93

69

03

20

78

86

17

25

19

44

83

30

47

19

83

28

34

59

52

42

03

85

87

55

80

11

87

02

85

92

75

51

73

66

30:

17.00

17.

17.

16.

17.

17.

17.

17.

17.

17.

17.

16.

17.

17.

17.

16.

16.

17.

17.

16.

17.

16.

17.

17.

17.

16.

16,

26

23

99

17

33

34

30

41

50

15

69

44

33

61

58

93

44

64

97

, 25

92:

42

.29

.07:

,84

.30

M - m

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

52

45

12

28:

16

40

22

18

18

15

17

20

15

0.26

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

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0.

0.

0.

0.

0.

0.

0.

0.

0.

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0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

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0.

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0.

0.

0.

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0.

0.

0.

0.

0.

14

19

21

41

28

16

37

41

16

46

41

48

15

43

44

26

17

50

36

40

23

43

28

43

33

27

43

47

24

28:

25:

33:

32

40

20

10

23:

16:

36

23

14

14

34

10

19

16

17

14

18

33

21

10

19

39:

40

15

10

14

,14

18

, 16

, 31

, 14

40

,40

s

0.

1.

4.

1.

2.

1.

2.

2.

2.

3.

4.

5.

3.

3.

3.

2.

2.

1.

2.

3.

1.

1.

3.

1.

1.

1.

2.

1.

1.

1.

3.

1.

1.

1.

1.

1.

2.

1.

1.

1.

9

2

0

3

8

2

2

4

6

7

4

4

0

1

3

5

2

7

7

2

0

3

0

2

2

2

7

3

0

6

5

4

5

3

7

3

1

2

9

5

2. 2

1.

2.

1.

2.

1.

1.

1.

2.

4.

5.

4

0

7

4

5

7

2

1

0

7

2. 5:

2.

2.

2.

2.

1.

4.

2.

5.

4.

2.

1

3

9

8

8

2

2

0

2

6

2.7

2.

2.

3.

3.

1.

1.

3.

3.

5

3

8

4

8

5

0

6

2. 3

2. 8

1.

2.

, 4

5

2.0 •

3.

1.

1.

,0

,6

. 20

Al

0.45

0.64

0.57

0.64

0.94

0.55

0.86

1.30

0.45

0.65

0.95

0.61

0.59

0. 36

0.63

0.69

0.63

0.56

0.32

1. 06

0.28

0.42

0.40

0.41

0.42

0.44

0. 50

0.78

0.27

0.72

0.77

0. 34

0.60

0.56

0.56

0.49

0. 53

0. 54

0.49

0.51

0.37

0.59

0.35

0.68

0.55

0. 54

0.33

0.81

0. 54

0.71

0.32

0.88:

0.48

0.42

0.33

0.57

0.30

0.50

0.64

0.64

0.38

0.73

0.47

0.34

0.47

0.73

0.42

0.89

0.66

0. 59

0.50

0.42

0.80

0.43:

0.77

0.32

0.59:

0.62

0.30

A

0.

0.

0.

0.

0.

0.

0.

1.

0.

0.

1.

0.

0.

0.

0.

0.

0.

0.

0.

1.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0,

0,

0.

0

0

0

0

0

0

0

2

00

12

69

17

88

11

64

06

40

75

21

85

60

37

68

59

42

29

30

11

00

11

40

08

08

09

46

20

00

33

84

11

24

15

29

13

37

11

30

20

28

22

23

35

45

21

17

16

38

86

44

76:

34

33

32

54

16

62

48

85

,47

66

,43

29

37

, 86

,45

, 50

, 26

. 60

, 56

. 33

. 76

. 13:

.66

. 21

.60:

.28

. 06

dm

0.26

0. 00

a 30

0.22

0. 56

0. 30

0.00

...

0.26

...

0.39

0.00

0.00

0. 39

0. 52

0.00

0. 28

0. 30

0. 00

0. 29

0. 35

0. 06

0.00

0. 00

0. 20

0.02

0.49

0. 20

0. 30

0.48

0. 03

0.00

0.40

0.42

0. 30

0.40

0. 03

0.48

0.00

0.46

0. 03

0. 35

0. 30

0. 08

0.00

0.44

0.44

0.43

0.60

0.28

0.00
168

TABLE 4.—Light-curve parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

HV

12935

1871

11208

11451

2022

11196

11324

1542

1772

2109

11438

1686

1958

11416

2001

11377

11394

11133

1513

2006

11381

11523

11302

11166

2152

11311

11498

1359

11495

1985

11172

2077

1623

11541

2219

1948

12107

2179

11304

11173

11339

12123

2062

11142

12933

2147

12133

11155

2197

1389

1353

11458

1517

2012

1371

2137

1894

11365

1615

1743

1930

1968

12100

11414

1658

11200

11473

12923

11160

11175

11400

11378

12092

12090

1466

10364

1516

1755

2004

Period

1. 297493

1.300860

1.300882

1.308274

1.308877

1.311653*

1. 313907

1.319185

1. 321541

1.321779

1.322865

1.327894

1.334426

1.335427

1.338848

1. 341414

1.346232

1.359052

1.361420

1. 364970

1. 365844

1. 367884

1.371704

1.377264

1.380363

1. 389389

1.389549

1.390069

1.390*

1.391115

1.392919

1. 395878

1.396100

1.397722

1.400598

1.401956

1.403556

1.405161

1.418273

1.419892

1.423040

1.423518

1.424031

1.428525

1.428982

1.430679

1.433883

1.438301

1.438424

1.439027

1.440349

1.440845

1.443249

1.443737

1.445072

1.445555

1.445706

1.446150

1.450501

1.453900

1.455729

1.458571

1.459004

1.467209

1.467565

1. 4676

1. 472806

1. 474796

1.482934

1.491177

1.491785

1.492899

1.495513

1.496128

1.502300

1. 503052

1. 504662

1. 505709

1.507086

log P

0. 1131

0. 1142

0. 1142

0. 1167

0. 1169

0. 1178

0. 1186

0. 1203

0. 1211

0. 1212

0. 1215

0. 1232

0. 1253

0. 1256

0. 1267

0. 1276

0. 1291

0. 1332

0. 1340

0. 1351

0. 1354

0. 1361

0. 1373

0. 1390

0. 1400

0. 1428

0. 1429

0. 1430

0. 1431

0. 1434

0. 1439

0. 1449

0. 1449

0. 1454

0. 1463

0. 1467

0. 1472

0. 1477

0. 1518

0. 1523

0. 1532

0. 1534

0. 1535

0. 1549

0. 1550

0. 1555

0. 1565

0. 1578

0. 1579

0. 1581

0. 1585

0. 1586

0. 1593

0. 1595

0. 1599

0. 1600

0. 1601

0. 1602

0. 1615

0. 1625

0. 1631

0. 1639

0. 1641

0. 1665

0. 1666

0. 1666

0. 1681

0. 1687

0. 1711

0. 1735

0. 1737

0. 1737

0. 1748

0. 1750

0. 1768

0. 1770

0. 1774

0. 1777

0. 1781

M

17.

16.

16.

16.

17.

16.

17.

16.

16.

16.

16.

16.

16.

17.

16.

16.

17.

16.

16.

16.

17.

16.

17.

16.

16.

16.

16.

16.

17.

16.

17.

16.

16.

16.

15.

16.

16.

16.

16.

16.

16.

16.

15.

16.

17.

16.

17.

16.

16.

16.

16.

16,

16.

16.

16,

17.

16.

16,

16,

16

16

16

16

17

16

17

16

16

16

16

15

16

16

17,

16,

16,

16,

16

16

0

14

33

42

84

13

92

10

68

46

82

88

99

56

29

54

55

30

69

98

58

12

71

20

41

53

88

62

75

13

33

18

86

90

, 4 4

.68

68

. 8 4

,53

94

, 57

,36

, 2 9

, 9 8

. 0 9

, 10

, 74

,38

,40:

,63

, 50

39

. 9 8

. 33

. 7 5

. 54

. 15

. 5 0

. 8 4

. 4 9

. 8 3

. 78

. 55

. 52

. 0 0

. 33

. 37

. 44

. 52

. 2 9

. 50

. 8 9

. 9 8

. 9 8

. 26

. 33

. 81

, 26

. 9 0

. 7 9

m

18.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

18.

17.

17.

18.

17.

17.

17.

18.

17.

17.

17.

17.

17.

17.

17.

17.

17,

17.

17.

17.

17,

16,

17,

17.

17.

17.

17.

17.

17.

17.

17,

17.

17.

18.

16.

17.

17.

16,

17,

17,

17,

17,

17,

17,

17

17

17

17

17

17

17

17

17

17

16

17

17

17

17

17

17

17

17

17

17

17

0

09

35

32

72

99

46

68

20:

50

42

33

98

51

28

55

16

15

22

44

84

06

65

72

42

74

50

90

51

80

,58

.72:

,86

,76

, 0 4

, 6 2

. 6 9

, 5 8

. 50

. 7 0

, 2 3

, 32

, 6 8

,42

, 57

, 6 4

. 7 2

.20:

,90:

, 4 0

,47

, 73

. 6 6

. 6 7

. 52

. 54

. 74:

. 6 7

.93:

. 6 5

.8.6

. 7 2

. 12

. 34

. 6 0

. 10

. 9 5

. 6 3

. 9 8

. 0 9

. 31

. 4 3

. 7 9

. 8 2

. 7 6

.47:

. 6 4

. 35:

. 4 0

. 6 5

A

0.

1.

0.

0.

0.

0.

0.

0.

1.

0.

0.

0.

0.

0.

1.

0.

0.

0.

0.

0.

0.

0.

0.

1.

1.

0.

1.

0.

0.

1.

0.

1.

0.

0.

0.

1.

0.

0.

0.

0.

0.

1.

1.

1.

0.

0.

0.

0.

0.

0.

0.

0.

1.

0.

1.

0.

1.

1.

1.

1.

0.

0.

0.

0.

0.

0.

1.

0.

0.

0,

1.

0.

0.

0.

1.

0.

1.

0.

0.

95

02

90

88

76

54

58

52:

04

60

45

99

95

99

01

51

85

53

46

96

94

94

52

01

21

62

28

76

67

25

54:

00

86

60

94

01

74

97

76

66

96

39

44

48

54

98

82:

50:

77

97

34

60

34

77

00

59:

17

09:

16

, 03

94

, 5 7

, 8 2

, 6 0

, 77

, 58

, 0 9

, 4 6

, 8 0

.81

, 54

,81

, 8 4

70

14:

83

0 9:

50

86

<m)

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

16.

17.

16.

17.

17.

17.

17.

17.

16.

17.

17.

17.

17.

17.

17.

17.

17.

17.

16.

16.

17.

17.

17.

17.

16.

17.

17.

16.

17.

17.

17.

17.

16.

17.

17.

16.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

16.

16.

17.

16.

17.

17.

16.

16.

17.

16.

17.

17.

17.

16.

17.

16.

17.

17.

0

65

00

00

34

78

16

37

04

13

14

06

63

22

96

05

84

78

94

18

47

84

28

54

96

32

26

43

25

43

08

38:

45

44

71

14

30

22

07

15

95

01

17

91

14

47

53

87

7 1 :

01

11

57

42

18

16

16

51:

19

4 2 :

20

47

42

88

93

43

74

69

16

83

81

03

58

, 4 8

. 44

64

79

39

85:

16

33

x

c

17.

16.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

16.

17.

16.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

16.

16.

17.

17.

17.

17.

16.

16.

17.

16.

17.

17.

17.

17.

I

71

98

00

40

70

26

42

02:

13

20

10

62

18

93

20

94

78

96

24

47

73

25

54

08

33

28

43

23

49

16

52:

51

45

73

25

32

27

14

41

99

97

16

93

04

45

33

88:

16.71:

17. 00

17.07

16.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

16.

17.

17.

16.

17.

17.

16.

16.

17.

16.

17.

17.

17.

17.

17.

17.

17.

17.

53

42

20

19

20

53:

29

57:

21

48

36

90

05

27

73

65

27

80

81

04

89

,51

51

52

0 1 :

33

0 0:

16

34

M - m

0. 14

0. 14

0. 10

0. 12

0.08

0.23

0. 29:

0.09

0. 10

0. 16

0.43

0. 11

0. 10

0. 11

0. 12

0. 40

0. 13

0. 41

0. 40

0. 13

0. 10

0. 11

0. 10

0.09

0.09

0. 11

0.12

0. 10

0.42

0.08

0. 16:

0. 11

0.12

0.44

0.35

0. 11

0. 18

0.12

0.13

0. 12

0. 12

0.09

0.09

0. 07

0. 14

0.13

0.13

0.43

0.18

0.55

0. 13

0.09

0. 16

0.09

0.08

0.06

0.07

0.14

0.12

0. 13

0. 15

0. 12

0. 11

0. 38

0. 42

0. 07

0.15

0. 10

0.09

0. 18

0. 10

0.13

0. 10

0. 17

0. 11

0.05

0.41

0. 12

s

2. 4

3 . 5

4. 1

3. 5

2 . 8

3 . 0

1.7

4 . 7

4. 1

3. 5

1 . 2

3. 3

4. 1

3 . 8

4. 5

1.9

2 . 6

1.4

1.9

2 . 7

4 . 2

2 . 0

4 . 7

5 . 3

4 . 8

4 . 8

3 . 5

3 . 3

1.6

4.9

3 . 1

4. 4

3 . 8

1 . 2

2. 5

3 . 7

2 . 2

3 . 0

2 . 7

3 . 5

3 . 3

3 . 0

4 . 9

3 . 9

4 . 3

2 . 6

2.8:

3.1:

1 . 2

2. 3

1 . 0

2 . 4

4. 1

2 . 0

4 . 8

4 . 1

6 . 0

5 . 6

3 . 0

3 . 0

2 . 9

2 . 8

4 . 2

2 . 6

1. 5

1. 2

6 . 4

2 . 0

4 . 7

5. 1

4. 1

4 . 7

3 . 7

4. 8

2. 3

3. 2

7.2:

1 . 4

3 . 8

A

l

0.67

0.66

0. 56

0. 57

0. 52

0.36

0.46

0. 31:

0.65

0. 39

0.41

0.64

0. 59

0.62

0.62

0. 39

0. 59

0.46

0. 35

0.66

0. 58

0.71

0. 32

0. 60

0.73

0. 38

0.83

0.49

0. 55

0.75

0.36:

0.61

0.54

0. 55

0.66

0.65

0. 54

0.64

0. 52

0.43

0.62

0.92

0.86

0. 93

0. 33

0.69

0. 56:

0.33:

0.71

0.70

0. 36

0.43

0.83

0. 58

0.60

0. 37:

0.68

0.64:

0.77

0.68

0.63

0.39

0. 51

0. 41

0.65

0. 53

0.63

0. 32

0. 49

0. 48

0. 96

0. 49

0. 54

0.42

0.82:

0. 55

0.62:

0. 43

0. 54

A

2

0. 55

0.72

0.68

0. 62

0.49

0. 36

0. 24

0. 41:

0.78

0.43

0.08

0.69

0.71

0.73

0.79

0. 24

0. 53

0. 15

0. 22

0. 60

0.71

0.47

0. 41

0.82

0.96

0. 50

0. 91

0. 53

0. 25

1. 00

0. 37:

0.77

0.64

0. 11

0. 56

0. 74

0. 41

0.65

0. 48

0. 47

0. 67

0. 93

1. 15

1. 11

0. 41

0. 61

0. 52:

0. 41:

0. 14

0. 55

0.00

0. 35

1. 00

0. 38

0. 80

0. 44:

0. 97

0.89:

0.78

0. 69

0. 62

0. 36

0. 62

0. 37

0. 25

0. 10

0. 92

0. 23

0. 63

0. 65

1. 16

0. 65

0. 61

0. 55

0. 65:

0. 57

0. 94

0. 14

0. 64

dm

0. 48

0. 40

0. 00

0. 48

0. 10

0. 39

0. 52

0.00

0. 48

0. 00

0. 39

0. 54

0. 52

0. 36

0. 40

0.00

0. 16

0. 79

0. 20

0. 30

0. 17

0. 00

0.70

0.44

0. 00

0. 70

0. 00

0.74

0.00

0.40

0. 48

0.00

0. 00

0. 00

0. 00

0.35

0. 36

0.00

0. 56

0.44

0. 36

0.24

0. 00

0. 70

0. 54

0. 25

0. 30

0.60

0.00

0.49

0. 74

0. 00

0.20

0. 30

0.62

0.25

0.48

0. 00

0.17

0.29

0.09

0.00

0. 36

0. 13

0.03

0. 00

0. 35

0. 91

0.71

0. 36

0. 13

0. 17

0. 43

0.43

0. 67

0. 46

0. 85

0. 00

0. 00
169

TABLE 4.—Light-curve parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

HV

11298

11503

11386

1826

11338

10372

2159

10371

11385

1350

11367

11253

1910

11404

1491

1837

1941

11299

11149

12922

11248

11147

1915

11435

1409

11494

1886

11239

11398

1449

11320

11388

11125

12172

11153

1655

1997

11198

1943

2184

11520

1383

2019

12945

1408

10377

12920

11203

1907

1668

1867

1436

1777

11483

1751

11169

11161

10368

11121

1928

12899

12134

11245

1814

1939

11242

1720

1681

12165

12148

11359

1766

1774

11306

11534

1392

1380

11134

1840

Period

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1,

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1_

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1 •

1.

1.

1.

1.

1.

1.

1.

1.

508145

509484

514748

516562

517858

520168

523523

524111

526121

526946

530702

532060

534557

540272

547633

548201

549727

551542

557487

557591

564169

574201

577073

577145

579347

580251

584349

587728

595507

597990

598271

602015

603564

603857

604173

611432

611796

618050

621936

622441

626238

627652

629511

634446

634472

636401

638479

642184

643280

648353

648701

656112

656485

656762

656935

658706

661201

662267

662300

662646

662748

663907

666819

667575

668090

669240

670043

670054

672056

677202

679253

680441

682527

685201

688563

.696379

,699143

,701427

,704640

log P

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

1784

1788

1803

1808

1812

1819

1828

1830

1836

1838

1849

1853

1860

1876

1897

1898

1902

1908

1925

1925

1943

1971

1978

1978

1985

1987

1998

2008

2029

2036

2036

2047

2051

0. 2052

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

f\

U.

0.0.

0.

0.

• o.

0.

0.

0.

2053

2072

2073

2090

2100

2102

2112

2116

2121

2134

2134

2139

2144

2154

2157

2170

2171

2191

2192

2193

2193

2198

2204

2207

2207

2208

2209

2211

2219

2221

2222

2225

2227

2227

2233

2246

OOC 1

L6J 1

2254

2260

2267

2275

2295

2302

2308

2316

MQ

16.95

16.62

15.97

16.80

16.63

16.78

16. 43

16.43

17. 18

16.60

16. 58

16. 34

16.82

17.17

16.53

16.42

16. 33

16.76

16. 78

16.57

16.92

17.00

16. 80

16.95

16. 13

16.60

16.82

16.99

16.61

16.84

16. 61

16.91

16.41

16.59

16.80

16.53

15.76

16.84

16.87

16.42

16.67

16. 31

16.47

16.91

16.70

16. 54

16.68

17.03

16.01

15.86

16. 12

15.89

16.10

16.85

15.86:

16.26

16.44

16.20

16.54

16.47

16.89

16.21

16.73

16.81

16.50

17.06

16.38

15.93

16.33

16. 53

17. 06'

16. 52

16.49

16.08

16.17

16.31

16.33

16. 52

16.60

mo

17.80

17. 56

16.37

17.42

17. 14

17.20

17. 21

17. 50

17.89

17.46

17.24

17.45

17.84

18.26

17.31

17.73

17.70

17. 69

16.98

17.82:

17.92

17.48

17.92

16.93

17. 14

17.71

17. 58

17.73

17.29

17.91

17.30

17.42

17.34:

16.96

17.17

17.21

17.63

17.40

17.75

16.67

17.57

17.37

17.27

17.32

17. 26

17.71

17.02

16. 30

17.32

17.32

16. 54

17.40

16.99:

16.98

17.12

17.55

17.24

17.39

17.80:

17.01:

17.33

17.94

17. 48

17.71

17.50

17.63

17.49

16.97:

17. 64:

17. 81

17.07

17.30

16.87

17.01

17.21

17.64

17. 20

A

0. 85

0.94

0.40

0.62

0. 51

0.42

0.68

1.07

0.71

0.86

0.66

1. 11

1.02

1.07

0.78

1. 31

1. 37

0.93

0. 41

0.90:

0.92

0.69

0.97

0. 80

0. 54

0. 89

0. 59

1. 12

0.45

1.00

0. 89

0.93

0.54:

0.43

1.41

0. 37

0.76

0.98

1.08

0.36

1. 10

0.46

0.67

0.78

0. 58

0.68

1.01

0.44

1.20

1.43

0.43

0.55

1. 13:

0.72

0.68

1.35

0.70

0.92

0.91:

0.80:

0.60

1.13

0.98

0.65

1. 12

1.66

1.16

0.44:

0. 58:

1.29

0.58

1.22

0.70

0.70

0.88

1.12

0.60

(m>0

17. 56

17. 16

16. 17

17. 24

16.99

16.98

16. 80

17.03

17. 60

17. 12

16.92

17.02

17. 32

17.74

16.96

17. 29

17. 31

17. 36

17. 01:

16.76

17. 23:

17.35

17.23

17.62

16.62

16.87

17.39

17. 33

17.27

17. 12

16. 74-

17.56

16.95

17.09

17.07

16.81

16.69

17. 04

17. 33

17.07

17. 11

16. 52

17. 19

17. 19

17. 00

17.07

16.93

17.32

16.66

16. 01

16.98

16.72

16. 29

17. 18

16.61:

16.72

16.88

17. 14

16.94

17.09

17.33

16.68

17. 03

17.42

17. 16

17.40

17. 09

17.00

17. 08

16.77:

17. 30

17. 29

16.79

16.85

16.53

16.81

16.97

17. 20

16.89

x0

17.48

17.07

16. 19

17. 22

16. 95

16.98

16.85

17.13

17.61

17.13

16.89

17.05

17.49

17.88

17.04

17. 21

17.22

17. 37

16.82

17.49:

17.60

17. 25

17. 56

16.65

16. 83

17.40

17.36

17.36

17. 10

17.54

16.95

17.14

17. 15:

16.80

16.68

17.04

17.35

17.08

17.29

16.53

17.17

17.18

17.04

17.05

16.98

17.47

16.66

16.06

16.88

16.81

16.30

17.20

16.53:

16.69

16.89

17.06

16.96

17.03

17.49:

16.73:

17. 14

17. 54

17. 11

17.47

17. 12

17. 03

17.08

16.82:

17.36

16.78

16.86

16.53

16.72

16.90

17.22

16.94

M - m

0. 09

0.45

0.42

0. 08:

0. 14

0. 39

0. 44

0. 11

0. 18

0. 13

0.45

0. 15

0.09

0. 10

0. 10

0. 13

0.08

0. 10

0. 11

0. 17

0. 21

0.08

0. 10

0. 11

0. 35

0.09

0. 14

0. 09

0. 20

0. 12

0. 16

0. 10

0.12:

0. 13

0.11

0.44

0. 10

0. 07

0.20

0. 15:

0. 11

0. 18

0. 13

0. 09

0. 39

0. 13

0.12

0. 46

0. 11

0.11

0.51

0.13

0. 19

0.13

0.11

0.09

0.16

0. 13

0.09

0.12

0.09

0. 10

0. 11

0. 18

0.09

0. 13

0. 12

0. 11

0. 18:

0.12

0.44

0. 10

0.40

0.32

0.06

0. 12

0.42

s

3. 2

1.2

1.7

5. 7

3.2

1.2

1.2

4. 5

2. 5

2.8

1. 2

3.9

4.4

3.8

4.6

2. 5

4. 2

4.9

2.4

3.5:

4.0

4.4

3.3

3.8

1.4

4.4

3.7

5.3

2. 2

3. 1

2.6

5.0

3.9

3.4

4. 1

1. 5

3.5

6.7

2.0

3.0

3.6

2.4

4.9

4.3

1.4

4. 0

3.8

1. 1

3. 3

3.8

1.0

3.4

2.3:

2. 5

5.0

3.7

2.4

2.5

5.4

4.0

6.6

4. 2

3. 1

3.0

5. 1

3.6

4. 2

4.4

4. 1

1.3

3.7

1.4

2.2

4.0

3. 2

1.9

Al

0. 56

0.86

0.32

0. 36

0.34

0.39

0. 63

0.65

0.50

0.58

0.61

0.70

0.62

0.67

0.48

0.92

0.85

0.56

0.29

0.59:

0. 57

0.41

0.63

0.50

0.46

0. 55

0.38

0.66

0.33

0.66

0.61

0.50

0.34:

0.28

0.87

0.29

0.49

0.56

0.81

0.24

0.70

0.33

0.40

0.48

0. 50

0.42

0.64

0.42

0.78

0.90

0.43

0. 36

0.81:

0.51

0.41

0.86

0.50

0.64

0.54:

0. 50

0. 34

0.70

0.65

0. 43

0.67

1.06

0.72

0. 27:

0.80

0. 51

0.78

0.60

0. 51

0. 55

0. 74

0. 46

A 2

0. 59

0. 17

0. 16

0. 51

0. 35

0.08

0. 15

0.83

0.43

0. 55

0. 12

0.83

0. 79

0. 79

0.61

0.79

1. 04

0. 74

0.24

0.64:

0.69

0. 52

0.68

0. 59

0. 16

0.68

0.43

0.92

0.25

0.68

0.55

0.66

0.40:

0. 31

1.06

0.12

0.54

0.83

0.54

0.24

0.79

0.27

0.54

0.60

0.17

0. 51

0.75

C.04

0.84

1.06

0.00

0.39

0.64:

0.42

0.54

0.98

0.41

0. 55

0. 53:

0.60

0.52

0.86

0.67

0.44

0.90

1.20

0.88

0.34:

0.97

0. 13

0.89

0. 20

0. 39

0. 66

0.77

0. 28

dm

0. 70

0.00

0.49

0.13

0.44

0.00

0.00

0. 00

0.29

0.74

0.00

0.90

0.48

0. 16

0.47

0.34

0.48

0. 70

0. 74

0.91

0.74

0.60

0. 48

0.07

0.49

0.00

0.48

0.72

0. 16

0.56

0. 52

0.35

1.03

0.00

0.80

0. 36

0.40

0.00

0. 35

0.00

0.00

1.03

0.00

0. 36

0.74

0. 00

0.48

0. 00

0.40

0.60

0.48

0. 36

0. 49

0.00

0. 11

0.52

0.72

0. 30

0. 70

0.39

0.00

0. 15

1.03

0. 28

0. 48

0.00

0. 11

0. 03

0.02

0. 03

0. 36

0. 35

0. 35

0. 56

0.00

0. 55

0. 74

0. 36

0. 22
170

TABLE 4.—Light-curve parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

HV

12918

12919

1638

11122

1919

11443

11184

1344

1398

11168

11363

11542

11137

1418

12084

12937

2169

1364

1732

11463

2111

11195

1656

11130

2110

11271

1558

2122

11357

1496

1754

12137

1890

11341

12139

1403

12125

12181

1779

2115

11460

11500

11335

2100

11384

1799

1494

1554

2146

12143

2068

1739

11350

11146

1674

1729

2093

1664

2127

12164

11126

12921

1990

11226

1325

11167

1904

11181

11164

10356

12947

1717

1446

1547

12936

12175

11479

1937

1506

Period

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

707335

707404

715372

715559

718591

722887

726788

730957

732080

734575

737819

738064

739793

740069

744832

745286

748006

754284

754580

755276

758372

758622

758690

761301

763122

771157

771764

775036

775834

776653

777449

777812

778540

.778777

.778900

779273

,781369

,783024

,783390

,785176

.787467

.789818

.790078

.796300

1.796361

1,

L,

1

1

1

1

1

1

1

1

1

1

1

.796387

.799570

.799775

. 80Z097

. 806750

.807181

.810168

.818129

.820141

. 820330

. 822486

. 828382*

.830680

1.830875

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

.833537

.837804

.838299

. 842724

.853118

.853472

.855078

. 858453

. 860929

.86640k

.866556

.869295

.870375

.872140

.874579

. 876666

.876768

.879212

.882679

. 886248

log P

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

2323

2323

2344

2344

2352

2363

2372

2383

2386

2392

2400

2401

2405

2406

2417

2419

2425

2441

2442

2444

2451

0. 2452

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

2452

2458

2463

2483

2484

2492

2494

2496

2498

2499

2501

2501

2502

2502

2508

2512

2512

2517

2522

2528

2529

2544

2545

2545

2552

2552

2558

2569

2570

2577

2596

0. 2601

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0,

0,

0.

0

0

0

0

0

0

0

0

0

0

0

2601

2607

2621

2626

2627

2633

.2643

.2644

2655

, 2679

. 2679

. 2684

.2691

. 2697

. 2710

. 2710

. 2717

. 2719

.2723

. 2729

.2734

. 2734

.2740

. 2748

. 2756

M o

16.

16.

16.

15.

15.

16.

16.

16.

16.

16.

16.

16.

17.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

15.

16.

16.

16.

16.

16.

17.

16.

16.

17,

16,

93

79

81

98

92

31

27

43

58

73

82:

30

05

03

25

76

05

55

30

93

75

66

18

46

20

41

26

44

71

56

41

95

64

95

13

44

58

34

50

54

90

35

04

98

75

50

30

74

, 19

,28

09

,38

. 54

. 14

16.78

16,

16,

16,

16

16

16

16

16

16

17

16

. 13

. 15

.36

.22

.85

.75

.71

. 51

.92

.07

. 23

16. 54

16

16

16

16

16

16

17

16

16

16

16

16

. 23

.49

.08

.69

. 23

. 14

. 45

.64

.63

. 54

.91

.60

m,

17.

17.

17.

16.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

16.

17.

16.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

17.

16.

18.

17.

3

33

49

83

60

22

14:

36

42

51

55

64:

23

51

31

91

17

73

28

50

48

36

41

11

10

02

04

20

38

42

23

92

10

55

17.68

17.

17.

17.

16.

16.

17.

17.

17.

16.

16.

17.

17.

16.

17.

17.

17.

16.

14

45

72

73

77

34

56

10

51

65

74

28

85

.38

.05

.80:

,60

17.52

17,

16,

[17,

16,

16.

16

16

17

17

17

17

17

17

16

17

17

17

17

17

17

17

18

17

17

17

18

17

.92

.66

.8

,70

.75

.81

.62

.78

.08

.01

.52

.86

. 50

.83

.60

.88

. 35

. 50

.49

. 44

. 40

. 23

.29

.84

. 13

. 03

.60

A

0.

0.

1.

0.

1.

0.

1.

0.

0.

0.

0.

0.

0.

1.

0.

0.

0.

0.

1.

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dm

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30

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29

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72

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52

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44

79

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67

60

00

00

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35

30

30

30

26

74

30

00

00

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30

00

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16

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25

26

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48

30

80

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44

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40

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48

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. 00

. 40

. 09

. 20
171

TABLE 4.—Light-curve, parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

HV

1578

11297

12088

10361

10359

1713

1714

1557

11148

1976

1385

12101

2057

841

1447

11118

1404

1532

11426

11119

11209

2023

1390

11358

156 5

12142

11370

11488

1864

1504

12944

11342

1796

11300

11191

1999

11369

1420

10384

2009

1839

2035

1860

1590

1459

11259

1916

11174

1358

1330

1567

12106

11131

11264

1953

12942

11251

2096

1367

1883

1911

11234

12156

2130

1452

1703

1549

10380

1622

11532

2123

12082

1800

12934

11189

1476

1397

11376

12953

797-819 O— 66

Period

1.888397

1.891206

1.891453

1.895806

1.897825

1.897864

1.902041

1.902801

1.902969

1.903073

1.903428

1.907298

1.909013

1.909333

1.912035

1.914368

1.914748

1.920399

1.923495

1.927625

1.928373

1.932868

1.934955

1.935962

1.936813

1.937958

1.940761

1.942815

1.943053

1.946370

1.952263

1.956663

1.960615

1.962505

1.966510

1.967818

1.969644

1.970381

1.972354

1.977355

1.979222

1.979254

1.984796

1.985652

1.992746

1.993342

1.996813

1.997551

1.998761

2. 001986

2.003020

2.003811

2. 004402

2. 007049

2. 007613

2. 008089

2.009994

2.011024

2.011372

2. 013109

2. 016629

2.017850

2. 018660

2.019915

2.022012

2. 022756

2. 026096

2. 030636

2. 030989

2. 033686

2.034551

2.037125

2.038104

2.042288

2.042359

2.050013

2.056331

2. 060101

2.060420

— 1 2

lc

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2761

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2792

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2795

2804

2808

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2815

2821

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2834

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2850

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2862

2867

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2880

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289 2

2905

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2924

2928

2937

2940

2944

2946

2950

2961

2965

2965

2977

2979

2994

2996

3003

3005

3007

3015

3017

3019

3020

3025

3027

3028

3032

3034

3035

3039

3046

3049

3051

3053

3058

3059

3067

3076

3077

3083

3085

3090

3092

3101

3101

3118

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. 3139

, 3140

M

16.

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16.

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76

04

56

95

01

84

19

02

93

19

19

13

00

86

16

22

98

07

09

41

26

13

65

7 3 :

34

48

83

11

78

64

12

04

, 16

. 34

. 32:

. 73

, 33

, 7 4

. 03

, 4 8

77

, 29

. 9 0

. 37

. 25

. 6 6

. 6 2

. 6 5

. 14

. 26

x

o

16.

17.

16.

16.

16.

16.

16.

15.

16.

17.

16.

16.

17.

16.

16.

16.

16.

17.

15.

16.

16.

16.

16.

17.

17.

17.

17.

16.

17.

16.

17.

17.

16.

17.

16.

17.

16.

16.

17.

17.

17.

17.

16.

17.

16.

17.

16.

16.

16.

17.

17.

16.

17.

16.

16.

17.

17.

16.

17.

16.

17.

17,

17.

16.

17,

16.

17

16.

16.

17.

16.

17.

17

16.

16

16

17

17

68

26

7 1 :

82

54

20

94

78

70

18

74

85

16

99

44

99

89

02

94

77

67

92

84

1 5:

39

36

00

83

29

87

13

57

91

12

76

07

96

88

16

27

16

24

87

09

24

03

08

98

41

34

03

69

38

49

87

, 18

, 7 7

, 5 9

, 13

, 04

. 20

. 35

. 30:

. 72

. 31

. 73

. 11

. 50

, 7 5

, 19

. 71

. 24

. 30

. 6 8

. 58

.76:

. 3 0

. 0 9

M - m

0.

0.

0.

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0.

0.

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15

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s

1.

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1.

1.

1.

1.

1.

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1.

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1.

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1.

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1.

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3.

3.

2.

3.

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5.

3.

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1.

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1.

2.

1.

2.

2.

4.

4.

2.

3.

4.

1.

3.

2.

2.

3.

1.

1.

3.

4.

1.

2.

2.

1.

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1.

1.

3.

2.

2.

3.

4.

3.

4.

4.

4.

4

3

8

3

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6

2

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2

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7

7

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6

3

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6

2

2

2

3

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0

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9

4

2

3

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0

6

9

2

3

7

5

3

1

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0

3

6

3

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6

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0:

8

3

5

5

2

6

5

2

0

3

2

1

6

3

7

5

2

5

4

6

3

3

4

5

, 5

, 3

A

l

0.

0.

0.

0.

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0.

0,

0,

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0.

0.

1.

0,

0,

0,

0,

0

0

0

38

47

5 3 :

35

52

49

39

49

87

67

61

36

69

88

52

40

70

78

60

45

76

78

47

7 3 :

53

38

40

76

61

66

71

62

87

41

55

90

01

60

79

45

85

63

40

54

62

35

43

83

66

74

84

58

45

74

61

57

, 37

62

52

, 48

, 55

. 54

, 20:

, 22

. 41

. 52

. 77

49

. 32

, 73

. 04

. 74

. 39

. 6 2

. 4 9

. 41:

. 43

. 8 0

A

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

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0.

0.

0.

0.

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0.

0.

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0.

0.

0.

1.

0.

'2

13

51

30:

09

20

23

08

28

91

66

70

18

92

99

66

49

89

94

31

57

15

96

62

58:

67

31

00

98

66

65

24

76

94

48

45

92

14

59

0. 96

0.

0.

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1.

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0.

0.

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0.

0.

1.

62

96

69

11

38

21

24

11

75

53

94

07

47

59

19

67

49

27

67

20

09

56

68

04:

16

37

13

88

19

06

80

85

67

41

78

53

52:

55

01

dm

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

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0.

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0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

00

60

35

36

44

60

30

80

70

52

74

17

89

00

98

74

74

60

00

70

00

30

55

24

65

17

35

25

36

70

35

00

13

70

00

24

17

70

00

30

36

00

0. 06

0.

0.

1.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

17

91

03

48

36

74

17

65

36

67

59

20

00

70

00

77

00

48

50

08

00

91

00

85

15

70

00

00

36

16

00

22

36

.91

, 49

. 00
172

TABLE 4.—Light-curve parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

HV

1535

2186

1604

11159

11120

11352

1964

11199

1832

11188

11277

1748

1762

11235

11194

1731

1712

1413

11441

2099

1511

1789

1357

1918

1463

848

2014

844

1727

11327

2095

1881

1594

1347

1803

11372

2061

1654

1407

1348

1817

2217

11524

2128

2167

1805

2177

11202

1417

2156

1528

1354

2056

1497

1696

11374

1833

1660

1628

2002

11192

11418

12097

1700

11150

1428

1424

2218

1687

1 378

11201

10376

2107

11156

1332

1587

2141

11154

11521

Period

2.062948

2.067745

2. 072058

2. 073063

2. 075037

2.077313

2. 092773

2.095233

2.096854

2. 098323

2. 105760

2. 107428

2. 107633

2. 133454

2.142594

2.144588

2. 150061

2. 153952

2. 156009

2. 160121

2. 160859

2. 161022

2. 166298

2. 170935

2. 171586

2. 172770

2. 203742

2.217580

2. 220697

2.222217

2. 222553

2.225759

2. 227757

2. 232631

2. 236086

2. 242168

2. 242726

2. 243380

2. 243544

2. 248030

2.250731

2. 259640

2. 264649

2. 268759

2. 273591

2. 279576

2. 282549

2.292595

2. 294352

2. 299232

2. 304647

2. 306268

2.308962

2. 311001

2. 313974

2.320821

2. 327725

2.330948

2. 332737

2. 346362

2. 354104

2. 358696

2. 365257

2. 370073

2. 382121

2. 383040

2. 392815

2. 396421

2. 396909

2. 403286

2. 403583

2. 407301

2. 411440

2.412790

2. 416883

2.419333

2. 421202

2. 421604

2. 427265

log P

0. 3145

0. 3155

0. 3164

0. 3166

0. 3170

0.3175

0. 3207

0. 3212

0. 3216

0. 3219

0. 3234

0. 3237

0.3238

0. 3291

0. 3309

0. 3313

0. 3325

0. 3332

0. 3336

0. 3345

0. 3 346

0. 3347

0. 3357

0. 3366

0. 3368

0. 3370

0. 3432

0. 3459

0. 3465

0. 3468

0. 3469

0. 3475

0. 3479

0. 3488

0. 3495

0. 3507

0. 3508

0. 3509

0. 3509

0. 3518

0. 3523

0. 3540

0. 3550

0. 3558

0. 3567

0. 3579

0. 3584

0. 3603

0. 3607

0. 3616

0. 3626

0. 3629

0. 3634

0. 3638

0. 3644

0. 3656

0. 3669

0. 3675

0. 3679

0. 3704

0. 3718

0. 3727

0. 3739

0. 3748

0. 3770

0. 3771

0. 3789

0. 3796

0. 3797

0. 3808

0. 3809

0. 3815

0. 3823

0. 3825

0. 3833

0. 3837

0. 3840

0. 3841

0. 3851

Mo

16. 70

16. 20

16. 80

16. 14

16. 42

15. 86

16. 38

16.84

16. 34

16.60

16. 13

16.60

16. 34

15.99

15. 59

16.26

16.00

16. 09

16.68

16. 06

16. 37

15. 73

15.88

16.96

16. 16

16. 23

16. 03

16.09

15.94

17. 01

15. 98

16.37

15. 60

16.70

16. 15

16.26

16.00

16. 10

16.46

16. 22

16.60

16.20

16.64

15.85

15.47

16. 58

16. 14

16.38

16. 18

15. 85

16.99

16.05

16.07

16. 06

16. 88

16.05

16.04

15.84

16. 16

16.08

15. 77

17. 17

17. 10:

15.96

15.77

16. 95

16. 11

15. 37

16. 05

16. 70

16. 18

15.90

15. 70

15.88

16. 31

16. 03

15. 35

15.81

15. 47

m

o

17. 33

16. 82

17. 80

16.86

17. 37

16. 60

17. 46

17. 96

17. 02

17. 57

17. 89

17. 22

17. 44

16.65

17. 52

17. 21

17.70

17. 18

17. 33

17.84

17. 61

17. 38

16. 67

17.71

17.31

17.61

16. 90

17. 58

17.46

17. 78:

17.20

17.46

16. 70

17.51

17. 30

17. 73

16.62

17. 63

17. 33

16. 90

17.08

16.84

17. 49

16.92

17. 18

17.41

17. 50

17.04

17.21

17. 10

17.57

17.23

17.37

17. 14

17.62

17. 29

17. 36

16.96

17. 33

17.42

17. 36

17. 88

17.78:

17. 01

16. 53

17. 54

17. 24

17. 14

17.06

17. 20

17.58

16.76

17.43

16. 58

17. 18

17.79

17.02

16.96

17.27

A

0. 63

0. 62

1. 00

0.72

0.95

0. 74

1. 08

1. 12

0. 67

0.97

1.76

0.62

1. 10

0.66

1.93

0.95

1.70

1. 09

0. 65

1.78

1. 24

1. 57

0.79

0. 75

1. 15

1. 38

0. 93

1.49

1. 52

0.77:

1. 22

1. 09

1. 10

0. 81

1.15

1. 47

0.62

1. 53

0.87

0.68

0.48

0. 64

0. 85

1. 07

1.71

0. 83

1.36

0.66

1.03

1.25

0. 58

1. 18

1.30

1. 08

0. 74

1.24

1. 32

1. 12

1. 17

1. 34

1.60

0.71

0.68:

1. 09

0. 76

0. 59

1. 13

1.77

1. 01

0. 50

1. 40

0.86

1. 73

0.70

0. 89

1.76

1. 67

1. 15

1. 80

(m>0

17. 03

16.46

17. 28

16. 52

17. 02

16. 23

17. 05

17. 53

16. 78

17. 12

17.08

16.91

17. 01

16. 32

16. 79

16. 87

17. 04

16.76

17. 02

17. 18

17. 20

16. 77

16.46

17. 42

16. 88

17. 14

16.65

17. 06

16. 95

17. 51:

16.69

17. 07

16. 37

17. 17

16.86

16.98

16. 31

17. 04

16. 94

16. 59

16. 80

16.48

17. 13

16.48

16. 52

17. 10

16. 98

16.67

16. 79

16.62

17. 32

16. 84

16. 92

16.84

17. 34

16. 87

16. 93

16.62

16. 88

16. 92

16. 77

17.48

17.41:

16. 61

16.30

17.46 '

16. 88

16. 51

16.63

16. 98

17.04

16. 32

16.84

16. 32

16. 82

17. 11

16. 32

16. 57

16.63

x

o

17.08

16. 51

17.46

16. 54

17. 04

16. 18

17.08

17. 55

16.77

17. 23

17. 27

16.88

17.04

16. 33

16.79

16. 84

17. 11

16. 77

17. 08

17. 22

17. 15

16. 77

16. 38

17. 42

16.93

17. 10

16. 56

17. 07

16. 87

17. 50:

16.78

17.01

16. 29

17. 19

16. 90

17. 23

16. 30

17. 09

17. 00

16.65

16.81

16. 53

17. 17

16.56

16. 53

17. 10

16. 98

16.72

16. 79

16.66

17. 35

16. 81

16.89

16.77

17.38

16. 87

16. 87

16. 55

16. 92

16.95

16.81

17.62

17. 56:

16.63

16. 26

17. 32

16.83

16. 50

16. 68

17.00

17. 06

16. 31

16. 83

16. 32

16.87

17. 21

16.40

16. 52

16.65

M - m

0. 17

0. 45

0. 16

0. 36

0. 13

0. 40

0. 16:

0. 16

0. 14

0. 12

0. 19

0. 45

0. 14

0. 39

0. 16

0. 14

0. 11

0. 16

0. 18

0. 11

0. 14

0. 15

0. 12

0. 16

0. 13

0. 17

0. 16

0. 13

0. 18

0. 16:

0. 15

0. 18

0. 14

0. 18

0. 12

0. 16

0. 45

0. 12

0. 20

0. 16

0. 49

0.38

0. 18

0. 14

0. 16

0. 15

0. 16

0. 45

0. 23

0. 12

0. 16

0. 12

0. 11

0. 12

0. 12

0. 09

0. 16

0. 10

0. 08

0. 14

0. 16

0. 22

0. 23

0. 17

0. 12

0. 15

0. 14

0. 14

0. 16

0.23

0. 17

0. 50

0. 14

0. 22

0. 10

0. 12

0. 16

0.18

0. 13

s

2 . 4

1. 1

4 . 3

1. 8

4. 0

1 . 0

4. 0

3. 7

i. 2

3 . 8

4 . 0

1. 1

3. 7

1. 4

2 . 9

2. 7

4 . 1

2 . 9

2 . H

4 . 6

5. 4

2 . 7

i . 2

2. 5

6 . 4

3 . .5

3 . 4

4. 5

2 . 6

3. 5:

4. 3

2. 2

3. 3

2. 5

4 . 2

4. 9

1. 2

4. 2

2 . 9

3. 3

1. 0

1. 4

3. 2

5. 0

2. 9

3. 1

2 . 9

1. 4

2. 3

4. 2

2. 8

4. 1

3. 3

4 . 6

6 . 7

4. 8

3. 2

3.6

4. 2

3. 8

4. 7

3. 4

3. 4

4. 0

4. 2

3. 5

3. 7

3. 7

3. 0

2.4

3. 1

1. 2

4. 3

3. 1

4. 1

6.0

3.4

2.8

4. 5

A

n.

0 .

0 .

0 .

0 .

0 .

0 .

0 .

0 .

0 .

1.

0 .

0 .

0 .

1.

0 .

1.

0 .

0 .

1.

0 .

1.

0 .

0.

0.

0 .

0 .

0 .

1.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0 .

1.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

1.

0.

0.

0.

0.

1.

0.

0.

1.

1.

0.

1.

1

4 5

55

61

56

59

7 4

6 7

7 2

4 4

61

09

60

71

5 7

19

66

0 5

7 5

4 4

0 9

HI

OK

52

5 2

6 7

90

60

91

05

5 0 :

7 4

80

72

57

7 1

88

57

95

58

4 4

48

55

56

64

15

55

91

57

74

78

39

74

85

66

42

74

87

72

73

84

98

46

4 4

68

4 7

38

72

13

67

35

92

79

06

46

55

02

09

78

10

A

0 .

0 .

0 .

0 .

0 .

0 .

0 .

0 .

0 .

0.

1.

0 .

0 .

0 .

1.

0 .

1.

0 .

0 .

1.

0.

0.

0 .

0 .

0 .

0 .

0 .

1.

0 .

0 .

0 .

0 .

0.

0.

0.

1.

0.

1.

0.

0.

0.

0.

0.

0 .

1.

0.

0 .

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

1.

0.

0.

0.

0.

0.

0.

1.

0.

0.

0.

0.

1.

0.

0.

1.

1.

0.

1.

I

M

1 4

7 7

52

7 1

0 0

8 1

H2

46

7 2

IK

0 6

Kl

IK

n6 0

11

11

42

y)

K7

9 9

5 5

4 5

96

9 7

66

16

94

5 5 :

94

60

76

49

87

16

10

17

5 7

4 7

00

18

59

85

13

56

90

19

58

95

38

90

91

84

63

98

91

80

89

98

26

50

48

82

58

42

82

30

67

29

95

14

37

48

88

46

17

75

40

d m

0. 85

0. 00

0. 00

0. 52

0. 70

0. 62

0. 40

0. 00

0. 36

0. 34

0. 67

0.48

0. 26

0. 79

0. 48

0. 44

0. 15

1. 03

0. 19

0. 00

0. 35

0. 28

0. 74

0. 48

0. 98

0. 02

0. 20

0. 00

0. 00

0. 57

0. 00

0. 30

0. 70

0. 50

0. 00

0. 26

0. 00

0. 00

0. 81

0. 50

0. 16

0. 00

0. 00

0. 00

0. 00

0. 22

0. 15

0. 25

0. 81

0. 06

0. 20

0. 79

0. 00

0. 98

0. 24

0. 29

0. 28

0. 48

0. 57

0. 00

0. 00

0. 22

0. 43

0. 58

0. 80

0. 48

0. 59

0. 00

0. 44

0. 62

0. 00

0. 00

0. 00

0. 52

0. 18

0. 31

0. 25

0.60

0. 00
173

TABLE 4.—Light-curve parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

HV

1971

1490

1932

1845

2206

11207

2114

11275

1955

1414

1869

2200

1935

1361

10382

10370

1448

1760

2021

2076

2036

1887

2108

2166

1711

1702

11383

1965

2204

850

1815

1538

1984

1639

2143

1546

2046

2172

1923

1969

2190

2025

1391

11528

1545

1650

11486

12930

1571

12929

1854

2120

2038

2042

1642

1726

1568

1376

1917

11128

1773

2216

1600

1931

1938

11332

11151

11114

2082

2104

12943

1981

1847

1978

1670

2193

1360

1458

1850

Period

2. 432522

2. 433851

2. 436544

2. 437899

2. 440239

2. 449509

2. 450566

2. 451083

2.457685

2. 459108

2. 464918

2. 465313

2. 465447

2. 474574

2. 475501

2. 477345

2. 479556

2. 481463

2. 489228

2. 499111

2. 501551

2. 503104

2. 506661

2. 50961 3

2. 509643

2. 512291

2. 519203

2. 524309

2. 528560

2. 532453

2. 540702

2. 544633

2. 545092

2. 547530

2. 548160

2. 548317

2. 557713

2. 562346

2. 566228

2. 570978

2. 573948

2. 577227

2. 577499

2. 579047

2. 581644

2. 583839

2. 590942

2. 595966

2.601802

2.602804

2. 609256

2.610736

2.613415

2. 618130

2. 628929

2.636296

2. 637709

2. 638279

2. 644705

2. 647469

2. 667278

2. 679895

2. 684117

2. 691051

2. 693363

2. 707408

2. 708452

2. 711953

2.712460

2. 712666

2.714153

2. 722555

2. 732084

2. 738848

2. 741296

2. 746566

2.747562

2. 749549

2. 755618

lc

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

,g p

3860

3863

3868

3870

3874

3891

3893

3894

3905

3908

3917

3919

3919

3935

3937

3940

3944

3947

3961

3978

3982

3985

3991

3996

3996

4001

4013

4021

40 29

4035

4050

4056

4057

4061

4062

4063

4079

4086

4093

4101

4106

4111

4112

4115

4119

4123

4135

4143

4153

4154

4165

4168

4172

4180

4198

4210

4212

4213

.4224

. 4228

, 4261

.4281

,4288

. 4299

0.4303

0.

0.

0.

0.

0.

0.

0,

0.

0

0

0

0

0

0

, 4326

, 4327

. 4333

.4334

. 4334

.4336

.4350

.4365

. 4376

. 4380

. 4388

. 4390

.4393

. 4402

M

16.

16.

16.

15.

15.

17.

15.

16.

16.

15.

15.

16.

16.

15.

16.

16.

15.

15.

16.

16.

16.

16.

15.

16.

16.

16.

16.

16.

15.

15.

15.

16.

15.

16.

15.

16.

16.

16.

15.

16.

15.

15.

15.

15.

15.

15.

16.

15.

17.

16.

15.

16.

15.

1 5.

15.

15.

16.

15.

15.

16.

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15.

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16.

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15.

16.

15.

16.

16.

15.

15.

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0

77

47

19

78

82

21

95

46

45

83

73

06

10

83

54

12

70

89

52

11

05

22

89

12

24

36

48

28

45

97

89

20

48

16

51

20

20

27

95

38

74

04

69

65

90

04

39

85

01

25

56

82

28

66

28

46

76

78

67

92

73

38

99

17

58

34

40

90

84

96

99

50

36

29

12

48

67

. 51

62

m

o

17. 52

17.61

17. 39

17. 72

16. 28

17. 53

17. 46

17. 55

17. 00

17. 87

16. 44

16. 83

17. 63

16. 77

17. 64

16. 66

16.61

16.46

17. 64

16. 90

16. 72

17. 55

16.76

17. 43

17. 51

17. 19

17. 23

17. 26

16.79

17. 45

17. 18

16. 94

17. 30

16. 74

16. 74

17. 15

16.69

17. 34

17. 31

17.68

16. 77

16. 60

17. 04

16. 89

17. 38

16. 56

17. 39

16. 81

17.65

16.90

17. 30

17.32:

16.93

17.45

16.69

16. 18

17. 34

17. 22

16.97

17.47

17. 53

16.78

16. 78

16. 90

16.66

17.67

17. 26

17. 68

17. 40

17. 12

17. 00

17. 60

17.06

16. 70

17. 22

16.66

17. 22

17. 44

17. 25

A

0.

1.

1.

1.

0.

0.

1.

1.

0.

1.

0.

0.

1.

0.

1.

0.

0.

0.

1.

0.

0.

1.

0.

1.

1.

0.

0.

0.

1.

1.

1.

0.

1.

0.

1.

0.

0.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

0.

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0.

1.

1.

1.

0.

0.

1.

1.

0.

1.

1.

0.

0.

1.

1.

0.

1.

1.

1.

1.

1.

1.

0.

1.

1.

1.

0.

1.

75

14

20

94

46

32

51

09

55

54

71

77

53

94

30

54

91

57

12

79

67

33

87

31

27

83

75

98

34

48

29

74

82

68

23

95

49

07

36

30

03

56

35

24

48

52

00

96

64

65

72

50:

65

79

41

72

58

44

30

55

80

40

79

73

08

33

86

78

56

16

01

10

70

41

10

18

55

93

63

<

m

>0

17. 10

16.99

16.95

16. 97

16. 04

17. 35

16.96

17. 13

16. 71

16.69

16. 15

16. 53

17. 00

16. 46

17. 13

16.42

16. 34

16. 14

17. 30

16. 55

16. 34

16.98

16. 50

16. 85

17. 00

16.89

17. 00

16.92

16. 22

16.96

16. 75

16. 72

16.65

16. 55

16. 36

16. 78

16. 44

16.95

16.87

17. 17

16. 33

16.00

16. 55

16.46

16. 65

16. 00

16. 89

16. 33

17. 39

16. 55

16.68

17. 05

16. 41

16. 82

16. 14

15. 80

17. 13

16.65

16. 37

17. 27

16. 95

16. 28

16. 28

16. 54

16. 13

17. 10

16. 87

17. 01

16. 84

16.45

16. 55

17. 15

16. 51

16. 48

16. 80

16. 16

16. 71

17. 13

16. 59

x

o

17.07

17. 17

16.98

17. 05

16. 06

17. 35

16. 91

17. 14

16.67

16. 80

16. 14

16. 55

17. 03

16. 42

17. 20

16. 36

16. 26

16. 19

17. 22

16. 57

16. 39

17.09

16.45

16.99

17.08

16. 87

16. 95

16. 85

16. 34

16. 93

16. 74

16.67

16.67

16. 50

16. 22

16. 80

16. 51

16. 93

16. 79

17. 21

16.36

16. 03

16. 58

16.45

16. 78

16. 00

17. 01

16. 48

17. 41

16. 56

16.63

17. 13:

16. 37

16.80

16. 21

15. 81

17. 14

16. 74

16. 53

17. 24

16.90

16. 26

16.41

16. 50

16. 05

17. 18

16.96

17.09

16. 74

16. 71

16. 60

17. 15

16. 46

16. 47

16. 81

16. 22

16. 68

17. 10

16. 70

M - m

0. 44

0. 19

0. 14

0. 14

0. 43

0. 50

0. 16

0. 20

0. 51

0. 20

0. 20

0. 12

0. 22

0. 14

0. 12

0. 50

0. 20

0. 39

0. 14

0. 24

0. 43

0. 11

0. 13

0. 15

0 13

0. 14

0. 12

0. 16

0. 11

0. 11

0. 10

0. 10

0. 10

0. 17

0. 15

0. 10

0. 16

0. 18

0. 17

0. 16

0. 20

0. 16

0. 12

0. 16

0. 20

0. 16

0. 17

0. 16

0. 18

0. 49

0. 17

0. 26

0. 14

0. 15

0. 15

0.45

0. 10

0. 18

0. 16

0. 22

0. 14

0. 13

0. 38

0. 42

0. 40

0. 13

0. 16

0. 16

0. 15

0. 17

0. 20

0. 24

0. 16

0. 52

0. 24

0. 14

0. 15

0. 18

0. 13

s

0. 9

2. 8

5. 2

4. 4

1.6

1. 0

3. 5

3. 0

0 . 9

3. 4

2. 2

3.9

2. 5

3. 2

5. 1

1. 0

2 . 9

1.6

3. 1

2. 2

1. 3

4. 7

3 . 9

5.6

5. 0

2. 7

3. 5

2. 1

6 . 6

4. 0

5. 2

3. 7

4. 3

4. 0

2. 1

3. 5

3. 2

2. 8

2. 8

3. 7

2. 4

3 . 7

4 . 9

4. 0

2 . 4

3. 4

2. 8

5. 0

3. 1

1. 2

2 . 6

2 . 9

5. 0

3 . 6

3. 7

1. 2

4. 5

5 . 6

4 . 6

2. 3

4. 1

3. 3

1. 5

1. 1

1. 3

3. 5

4. 2

5. 3

3. 8

3. 9

2. 7

2. 2

3. 9

0. 9

3. 0

3. 4

4. 1

3. 3

4. 9

A

l

0.

0.

0.

1.

0.

0.

0.

0.

0.

1.

0.

0.

1.

0.

0.

0.

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1.

0.

0.

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0.

1.

0.

0.

0.

0,

0.

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75

77

72

18

38

32

98

72

58

00

52

49

07

62

78

54

61

47

74

58

59

81

55

77

76

57

49

73

76

92

77

47

11

42

91

62

32

73

92

83

73

00

81

77

06

99

68

58

42

60

19

34:

99

15

84

66

35

84

79

40

12

91

66

70

95

86

5 3

05

9"

73

70

, 80

07

. 41

. 73

, 77

, 9 6

. 6 0

. 98

A

2

0. 00

0. 74

0. 97

1.49

0. 17

0. 00

1.07

0. 73

0.00

1. 08

0. 39

0. 57

0.92

0. 65

1. 04

0. 00

0. 60

0. 22

0. 76

0. 43

0. 15

1. 05

0. 64

1. 07

1. 02

0. 52

0. 53

0. 51

1. 14

1. 11

1. 04

0. 54

1. 40

0. 51

0. 64

0. 67

0. 34

0.68

0.87

0.95

0. 60

1. 14

1. 08

0.93

0. 86

1. 08

0. 64

0.79

0. 44

0. 12

1.07

0. 33:

1. 32

1.29

0. 96

0. 13

0. 45

1. 20

1.01

0. 31

1. 35

0. 98

0. 26

0. 07

0. 25

0. 94

0. 65

1. 44

1. 17

0.87

0. 64

0. 60

1. 27

0. 00

0. 74

0. 84

1. 18

0. 65

1. 30

d m

0. 00

0. 67

0. 39

0. 36

0.00

0. 00

0. 00

0.47

0. 00

0. 81

0. 40

0. 00

0.09

0. 79

0. 00

0. 30

0. 67

0. 49

0. 00

0. 00

0. 30

0.48

0. 00

0. 00

0. 24

0. 44

0. 17

0. 00

0. 00

0. 00

0. 22

0. 85

0. 40

0. 48

0. 25

0. 70

0. 10

0.00

0. 00

0. 40

0. 00

0. 30

0. 55

0. 00

0. 60

0. 54

0. 30

0. 31

0. 17

0. 65

0. 28

0.00

0. 25

0. 25

0. 62

0.44

0. 00

0.79

0. 39

0. 59

0. 35

0. 00

0. 00

0. 48

0. 48

0.65

0.74

0. 00

0. 00

0. 00

0. 00

0. 00

0. 34

0. 00

0. 54

0. 00

0.72

0. 56

0. 00
174

TABLE 4.—Light-curve parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

HV

11286

11162

1614

10367

2149

1629

12931

11135

11115

2080

1836

2030

2049

1885

1852

2182

1753

1980

12955

1809

1942

1690

11138

2045

1993

1844

2135

1782

2013

2059

1868

11185

1841

11519

2050

2015

2069

1507

11491

2139

2000

2165

12160

1540

1974

1822

839

2126

1575

1922

1786

1460

2210

1765

11482

11179

1806

2029

1947

11136

2155

1616

10369

11530

11499

1611

2131

11492

11278

2187

11450

1842

11171

11180

11496

2027

2118

1838

Period

2. 756272

2. 761200

2. 768695

2. 768726

2.769072

2. 769078

2. 769561

2. 769799

2. 769930

2. 778719

2. 788133

2. 79447 5

2. 800893

2. 802212

2. 807427

2. 812180

2. 817679

2. 820007

2. 825034

2. 825761

2. 841071

2. 846262

2. 846392

2. 847232

2. 849043

2. 851245

2. 854977

2. 855381

2. 857789

2. 859993

2.861157

2. 862942

2. 867038

2. 869377

2. 872111

2.874156

2. 874273

2. 876680

2. 878319

2. 879809

2. 884088

2. 886543

2. 890416

2. 890675

2. 893108

2. 894968

2. 899643

2. 903061

2. 904684

2. 905313

2. 911564

2. 912862

2. 919222

2. 926638

2. 930205

2. 931563

2.934522

2. 936978

2. 937384

2. 942630

2. 944608

2. 944988

2. 948731

2. 949948

2. 950000

2. 956673

2. 960042

2. 960884

2. 964746

2.968883

2. 972801

2. 973182

2. 974102

2. 976863

2.982155

2. 982519

2. 987518

2. 988312

log P

0. 4403

0. 4411

0. 4423

0. 4423

0.4423

0. 4423

0. 4424

0. 4424

0.4425

0. 4438

0.4453

0. 4463

0.4473

0. 4475

0. 4483

0. 4490

0. 4499

0.4503

0. 4510

0 4511

0. 4535

0. 4543

0. 4543

0. 4544

0.4547

0.4550

0.4556

0. 4557

0. 4560

0. 4564

0.4565

0.4568

0. 4574

0.4578

0.4582

0.4585

0.4585

0. 4589

0. 4591

0.4594

0. 4600

0. 4604

0. 4610

0. 4610

0.4614

0.4616

0. 4623

0.4629

0. 4631

0. 4632

0. 4641

0.4643

0. 4653

0. 4664

0.4669

0.4671

0.4675

0.4679

0. 4680

0.4687

0. 4690

0. 4691

0.4696

0. 4698

0. 4698

0.4708

0. 4714

0.4714

0. 4720

0.4726

0.4732

0.4732

0.4734

0.4738

0.4745

0.4746

0.4753

0.4754

Mo

16.04

16. 56

15. 53

16. 36

16. 28

16. 18

15. 97

15. 84

16. 27

16. 40

15.92

16. 32

15.86

15. 68

16. 19

15. 84

15. 64

16. 23

16. 42

15. 86

15. 62

16. 04

16. 76

15. 79

16. 12

15. 50

16. 11

16. 10

15. 49

16. 14

15.86

16. 47

16. 56

15. 57

15. 25

16.47

15. 76

16. 28

16. 18

15. 54

15. 92

16. 35

16. 28

15. 66

15.73

16. 57

15. 28

16. 00

15. 82

16. 30

16. 27

16. 15

15. 26

15. 16

16. 23

16. 25

16. 50

15. 36

16. 04

15.75

15. 29

15. 79

16.06

16.46

16. 16

16. 15

16. 14

15.67

15. 96

15.65

16. 65

15. 66

16.06

15.88

16. 16

15. 92

16. 31

16.09

m

o

17. 02

17. 44

16. 66

17. 08

17.40

17. 08

16.65:

16.99

16.71

17. 72

16.75

17. 23

17. 30

17.32

17. 34

16. 90

17. 02

17. 39

17. 02

16.97

17. 00

17. 16

17. 59

17. 13

18. 00

17. 00

17. 47

16.63

17.27

17. 10

16.98

16. 73

17. 40

16. 11

16. 72

16.96

16.93

16.91

16.78

16. 90

17. 17

17. 51

17. 38

16.66

17. 29

17.62

16. 32

17.41

16. 72

17. 36

17. 30

17. 36

16. 90

16.70

17. 38

17.41

17. 85

17. 21

16.85

16.89

15.68

17. 29

16. 60

17. 09

16. 92

16. 90

17. 24

16. 91

16. 84

16. 90

17.63

17. 26

16.95

16.76

17. 44

17. 43

17. 38

17. 15

A

0. 98

0. 88

1. 13

0.72

1. 12

0.90

0.68:

1. 15

0.44

1. 32

0. 83

1. 10

1. 44

1. 64

1. 15

1. 06

1. 28

1. 16

0.60

1. 11

1. 38

1. 12

0. 83

1. 34

1. 88

1. 50

1. 36

0. 53

1. 78

0. 96

1. 12

0. 26

0. 84

0. 54

1.47

0.49

1. 17

0.63

0. 60

1.36

1. 25

1.16

1. 10

1. 00

1. 56

1. 05

1. 04

1.41

0. 90

1.06

1. 03

1. 21

1.76

1. 54

1. 15

1. 16

1. 35

1.85

0.81

1. 14

0. 39

1. 50

0. 54

0. 63

0. 76

0.75

1. 10

1. 24

0. 88

1. 25

0.98

1.60

0. 89

0. 88

1. 28

1. 51

1. 07

1. 06

<m) 0

16. 63

17. 16

16. 28

16. 72

16. 96

16.69

16. 27

16. 49

16. 52

17. 22

16. 43

16.80

16. 79

16.69

16. 73

16. 40

16. 58

16.92

16. 69

16. 57

16. 59

16. 76

17. 27

16.66

17. 28

16. 44

16. 91

16. 35

16. 74

16. 73

16. 60

16. 57

16. 87

15. 85

16.12

16.76

16.45

16. 68

16.50

16.45

16. 77

17.02

16.94

16. 37

16. 76

17. 13

15. 95

16. 73

16. 41

16. 92

16.90

16.96

16. 33

16. 16

16.97

16.83

17. 28

16.62

16. 51

16. 47

15. 44

16. 78

16. 31

16. 87

16. 53

16. 54

16. 80

16. 38

16. 54

16. 39

17.17

16.67

16.63

16.40

17. 06

16. 93

16.96

16.68

x

o

16.65

17. 10

16. 27

16. 80

16. 99

16.77

16. 41:

16. 59

16. 53

17. 25

16. 44

16. 86

16. 89

16. 75

16. 94

16. 52

16. 54

16.98

16. 68

16. 58

16. 53

16.78

17. 28

16. 65

17. 35

16. 44

17.00

16. 35

16.67

16. 74

16. 58

16. 60

17. 08

15. 83

16. 16

16. 78

16. 51

16.69

16. 44

16. 43

16. 71

17.09

16.98

16. 29

16. 75

17. 21

15. 93

16. 90

16.40

16.96

16.98

16.97

16. 30

16. 13

16.95

17. 01

17. 37

16. 57

16. 56

16.45

15. 47

16. 78

16. 29

16.82

16. 49

16. 53

16. 80

16.48

16. 51

16. 44

17. 23

16.69

16.62

16.41

17. 02

16.86

16.98

16.79

M - m

0. 18

0. 12

0. 12

0. 26

0. 14

0. 14

0. 18

0. 16

0. 18

0. 15

0. 15

0. 18

0. 14

0. 14

0. 16

0. 16

0. 18

0. 18

0. 49

0. 14

0. 13

0. 12

0. 16

0. 12

0.13

0. 14

0. 16

0. 50

0. 10

0. 16

0. 14

0.45

0. 20

0. 53

0. 18

0. 20

0. 16

0. 16

0.50

0.12

0. 16

0. 14

0.18

0. 14

0.12

0. 21

0. 16

0. 16

0. 16

0. 16

0.18

0. 10

0. 14

0. 13

0. 16

0.14

0. 16

0. 14

0. 14

0. 20

0.47

0. 12

0.48

0. 22

0.46

0. 44

0. 18

0. 14

0. 18

0. 19

0. 20

0. 16

0. 15

0. 16

0. 10

0. 14

0. 16

0. 17

.s

5. 1

Z. 8

4. 4

2. 5

3. 3

4. 5

I. 9

4. 1

2. 4

5.9

3. 1

3. 6

4 . 9

4. 6

4. 2

5.9

5. 0

5. •)

0 . 9

4. 4

4. ')

5. 0

5.4

5.8

4. 7

i. 4

4. 4

1. 2

5. 4

3. 0

3.9

1. 3

2. 8

1. 2

3. 2

3 . 0

3.9

4. 2

1.0

4. 4

3. 3

3 . 6

3. 7

3. 2

4. 5

2. 6

3. 3

3 . 6

3. 8

3 . 0

3. 2

6 . 6

4. 9

3. 4

3. 2

4 . 6

3. 8

4. 4

3. 8

2. 8

1. 1

5. 1

0. 9

1.9

0. 9

1. 3

2. 5

4. 3

3. 2

3. 5

2. 4

3. 8

3. 0

2. 4

6 . 4

3. 0

3. 0

5. 2

A

l

0.65

0. 60

0.69

0. 50

0.73

0. 55

0. 43:

0. 71

0. 31

0.83

0. 55

0. 65

0. 86

1. 00

0.71

0. 67

0. 85

0.73

0. 60

0.68

0. 83

0.67

0. 54

0. 84

1. 15

0.98

0. 83

0. 49

1.05

0. 63

0.70

0. 23

0. 57

0. 50

0.97

0. 32

0. 74

0.39

0.60

0. 83

0. 81

0. 74

0. 70

0.66

0.95

0.72

0.68

0.90

0. 57

0. 70

0. 56

0. 69

1. 06

1. 00

0. 76

0. 70

0. 85

1. 13

0. 51

0. 78

0. 37

0. 90

0. 54

0. 48

0. 76

0.66

0. 77

0. 76

0. 58

0. 81

0. 70

1. 01

0. 59

0. 62

0. 74

1. 00

0. 71

0. 64

A

2

0. 67

0. 56

0. 87

0. 43

0. 78

0. 70

0. 51:

0. 87

0. 26

0. 99

0. 57

0. 7 3

1. 15

1. 28

0. 88

0. 80

0. 86

0. 87

0. 00

0. 85

1. 10

0. 90

0. 59

0. 99

1. 49

1. 06

1. 06

0. 10

1.44

0. 64

0. 84

0. 06

0. 54

0. 10

1.01

0. 33

0. 88

0. 49

0. 00

1. 05

0. 88

0. 84

0. 80

0. 69

1. 22

0. 65

0. 73

1. 02

0. 67

0. 71

0. 59

1. 03

1. 41

1. 10

0. 79

0. 90

1. 00

1. 42

0. 60

0. 73

0. 04

1. 20

0. 00

0. 30

0. 00

0. 17

0. 66

0. 95

0. 61

0. 89

0. 57

1.18

0. 60

0. 51

1. 08

1. 00

0. 72

0. 86

dm

0. 56

0. 65

0. 44

0. 68

0. 00

0. 24

0. 65

0. 67

0. 53

0. 00

0. 08

0. 30

0. 10

0. 30

0. 28

0. 00

0. 44

0. 35

0. 00

0. 00

0. 00

0. 00

0. 67

0. 29

0. 00

0. 34

0. 25

0. 49

0. 30

0. 20

0. 05

0. 34

0. 22

0. 00

0. 30

0. 50

0. 00

0. 80

0. 00

0.00

0. 00

0. 00

0. 02

0. 80

0. 00

0. 28

0. 00

0. 00

0. 17

0. 30

0. 22

0. 00

0. 00

0. 49

0. 35

0. 00

0. 13

0. 00

0. 20

0. 85

0. 25

0. 00

0. 30

0. 00

0. 00

0. 00

0. 06

0. 00

0. 36

0. 00

0. 09

0. 22

0. 52

0. 44

0. 00

0. 00

0. 00

0. 34
175

TABLE 4.—Light-curve parameters for periodic variable* (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

HV

2170

2178

1443

1959

146 2

1824

2192

2079

1651

10381

11478

11283

1898

2173

1530

1495

2065

1913

2168

11127

1662

1812

1609

11258

1770

1643

1472

1906

12915

11296

12124

11144

10373

11233

1872

11132

1920

11204

1780

1875

11163

11216

1680

1987

11124

1813

11230

1450

11429

11307

2034

10358

846

2098

12109

2157

11145

2154

852

1908

1900

1747

1677

11113

1778

1924

2053

1469

11139

2051

2133

1936

11287

1603

1820

1577

11158

12927

1381

1

2.

2.

2.

2.

2.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

i.

3.

i.

3.

i.

J.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3,

3,

3.

3,

3

3,

3.

3,

3

3

3

3

3

3

3

=>eriod

988864

992632

993751

993797

995806

003679

007754

007808

008016

008185

008234

008297

018713

031 310

037925

042297

043955

044984

046718

048898

050324

051376

051804

055944

056440

057767

061915

065511

068595

072054

072820

074443

074643

075267

088278

089339

099199

099468

101381

103258

112379

114799

129851

130802

131203

131655

141217

143102

146455

149805

156177

159687

163035

163960

168306

169090

.190287

,192787

,197953

.206115

,212614

,213471

,213615

,213946

.214370

. 215858

.219796

.223893

.224949

. 225973

. 229 59 5

.234686

. 243583

. 243687

. 244678

. 248895

. 251800

. 252551

. 262293

log P

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0,

0.

0.

0

0

0

0

0

0

0

0

0

0

0

0

0

4755

4760

4762

4762

4765

4777

4782

4782

4783

4783

4783

4783

4798

4816

4826

4832

4834

4836

4838

4841

4843

4845

4846

4851

4852

4854

4860

4865

4869

4874

4875

4878

4878

4879

4897

4899

4913

4913

4916

4918

4931

4935

4955

4957

4957

49 58

4971

4974

4978

4983

4992

4996

. 5001

. 5002

. 5008

, 5009

. 5038

, 5042

. 5049

, 5060

. 5069

. 5070

. 5070

. 5070

. 5071

. 5073

. 5078

. 5084

. 5085

. 5087

. 5091

. 5098

. 5110

. 5110

.5112

.5117

. 5121

. 5122

. 5135

M

15.

15.

15.

16.

15.

15.

15.

1 5.

1 5.

16.

16.

16.

1 5.

1 5.

1 5.

16.

15.

15.

16.

16.

16.

15.

15.

1 5.

15.

15.

1 5.

16.

15.

16.

15.

15.

15.

16.

15.

15.

15.

15.

16.

15.

16.

16.

15.

15.

16.

15.

16.

15.

16.

16.

15.

15.

15.

16.

16,

15,

16,

15,

15,

16,

15,

16,

16

16

15

15

16

15

15

15

15

15

15

15

16

16

16

15

15

0

29

SI

H8

00

58

93

92

84

97

00

55

52

36

28

99

04

26

6H

05

6 2

85

74

95

Zl

58

40

65

12

76

25

85

80

58

54

27

86

12

81

28

94

46

51

,62

74

, 57

, 80

, 54

.93

, 58

. 88

, 74

, 77

,74

. 21

. 19

.99

. 14

. 53

.67

. 03

.92

. 83

. 37

. 37

.68

. 20

. 27

. 48

.62

.07

. 42

. 87

.93

. 37

.08

. 00

. 31

. 80

. 13

m ,

16.

16.

17.

16.

16.

17.

17.

17.

16.

16.

17.

17.

16.

17.

17.

16.

16.

17.

17.

17.

17.

16.

16.

16.

16.

16.

16.

17.

16.

17.

16.

17.

17.

17.

16.

16.

16.

16.

17.

17.

17.

17.

16.

17.

17.

17.

17.

16.

17.

17.

17.

16.

17.

16.

17.

16.

16.

17.

16.

17.

17.

17.

17.

17.

16.

16.

17.

16.

16,

17,

16.

17.

17.

16,

17,

16,

16,

16,

17

0

59

91

33

89

95

57

22

38

52

91

79

41

20

10

09

58

81

24

24

75

50

82

77

46

53

60

69

44

98

00

48

15

08

14

11

65

80

80

48

00

68

18

16

21

41

09

32

77

09

32

23

55

04

97

06

94

72

01

95

10

43

23

00

, 45

92

,68

, 20

,79

.89

. 03

, 85

. 40

. 02

.98

. 50

.94

.85:

. 74

. 17

A

1.

1.

1.

0.

1.

1.

1.

1.

0.

0.

1.

0.

0.

1.

1.

0.

1.

1.

1.

0.

0.

1.

0.

1.

0.

1.

1.

1.

1.

0.

0.

1.

1.

0.

0.

0.

1.

0.

1.

1.

1.

0.

0.

1.

0.

1.

0.

0.

0.

0.

1.

0.

1.

0.

0.

0.

0.

1.

1.

1.

1.

0,

0,

1,

1,

1,

0,

1.

1

1

1.

1

I

1

1

0

0

0

2

30

40

45

89

37

64

30

54

55

91

24

89

84

82

10

54

55

56

19

83

67

08

82

24

95

20

04

32

22

75

63

35

50

60

84

79

68

99

20

16

22

67

54

47

84

29

78

84

51

44

49

78

30

. 76

, 87

,95

, 58

,48

, 28

.07

, 51

, 40

.63

. 08

. 24

. 48

. 93

. 31

. 27

.9b

. 43

. 53

.09

.61

. 42

.94

. 54:

.94

. 04

( m )

16.

16.

16.

16.

16.

16.

16.

16.

16.

lb.

17.

17.

1 5.

16.

16.

16.

16.

16.

16.

17.

17.

16.

16.

15.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

15.

16.

16.

16.

17.

16.

0

06

31

76

43

55

96

76

87

21

60

24

07

96

45

69

31

22

68

74

10

15

40

45

93

14

24

21

94

48

72

15

57

56

89

67

42

14

47

10

57

17. 17

16.

15.

16.

17.

16.

17.

16.

16.

17.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

17.

16.

16.

16.

16.

16.

16.

91

89

61

03

59

06

47

85

11

64

18

63

75

, 72

,62

, 50

, 54

, 51

.62

.95

, 07

,69

.92

, 51

, 17

, 80

. 37

16. 33

16,

16,

16,

16,

16,

16

16

16

16

16

. 25

. 34

. 78

.64

. 32

.99

. 57

.60

. 45

. 42

X

16.

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77

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78

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57

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. 87

. 27

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22

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s

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09

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70

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. 48

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. 73

. 21

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. 70

. 32:

.64

. 59

d m

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98

35

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15

30

79

30

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36

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70

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28

57

48

44

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53

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15

0.60

0.

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0.

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00

40

39

79

30

00

48

48

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00

15

00

70

16

18

91

39

74

30

35

36

16

17

25

74

25

00

30

48

49

54

00

35

48

20

98

79

25

00

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, 47

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. 28

.72

. 52

. 80

. 81
176

TABLE 4.—Light-curve parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

HV

10360

171 6

1291 6

184 8

1291 3

148 8

183 0

214 8

163 7

188 9

215 8

197 0

174 6

216 0

187 4

182 3

197 2

1217 1

184 3

155 0

184 6

203 7

173 6

173 0

150 8

157 4

166 3

168 8

1120 6

219 6

213 4

148 9

206 7

213 8

198 3

132 9

189 1

204 7

189 6

1154 4

178 8

1037 9

160 6

133 9

184 9

219 4

142 2

1213 1

188 8

166 7

1038 3

218 3

205 5

150 2

174 9

141 0

190 1

133 1

192 6

162 7

169 7

179 2

194 9

138 4

181 6

153 4

173 3

180 4

163 1

133 7

142 3

205 8

202 8

218 5

144 5

185 6

145 3

207 0

218 8

Perio d

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

26655 4

26772 8

27053 9

27732 4

27787 2

28323 1

29844 7

31744 3

32499 9

32798 6

33396 7

33630 1

33807 3

34635 3

34984 8

35161 1

35168 9

35569 3

35757 5

36094 9

36838 7

36876 1

370181 *

37181 7

37296 6

38786 7

39100 3

39275 2

39947 1

40812 5

41680 4

42044 1

43503 3

43743 9

43843 5

43960 6

45148 9

45398 1

45899 9

47264 4

47867 2

48379 6

48754 1

48920 8

49227 9

50045 3

50082 4

50414 9

50983 1

51980 1

53167 8

53753 2

54490 7

54584 8

55251 1

56979 7

57309 7

57965 4

59169 6

59852 0

60567 0

61004 3

61661 0

62043 7

62836 8

64233 7

65473 0

66621 3

66745 0

67652 5

68353 3

68471 8

68896 2

69030 0

69288 1

69315 7

69918 5

71085 0

71206 6

lo

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

g p

514 1

514 2

514 6

515 5

515 6

516 3

518 3

520 8

521 8

522 2

523 0

523 3

523 5

5 24 6

525 0

525 3

525 3

525 8

526 0

526 5

527 4

527 5

527 5

527 9

528 0

529 9

530 3

530 5

531 4

532 5

533 6

534 1

535 9

536 2

536 4

536 5

538 0

538 3

539 0

540 7

541 4

542 1

542 5

542 7

543 1

544 1

544 2

544 6

545 3

546 5

548 0

548 7

549 6

549 7

550 5

552 6

553 0

553 8

555 3

556 1

557 0

557 5

558 3

558 8

559 7

561 4

562 8

564 2

564 4

5 6 5 4

566 3

566 4

566 9

567 1

567 4

567 4

568 1

, 569 5

, 569 6

M

15.

15.

15.

16.

15.

15.

16.

16.

15.

16.

15.

15.

14.

16.

15.

16.

16.

16.

15.

15.

15.

15.

15.

16.

15.

16.

15.

15.

16.

15.

16.

15.

15.

16.

15.

16.

15.

16.

15.

15.

15.

16.

15.

1 5 .

15.

15.

15.

16.

15.

15.

16.

15.

16.

16.

15.

16.

16.

15,

15,

15

15

15

16

1 5

15

14

15.

15

15

15

16

15

15

15

15

15

15

15

16

0

60

95

64

61

78

39

58

75

65

05

15

49

92

05

47

1 3

09

21

46

93

45

27

09

38

30

21

04

66

17

94

12

78

72

41

02

13

49

16

88

49

75

31

40

. 84

, 16

, 56

, 19

, 10

, 60

, 73

, 37

, 51

, 18

.06

. 58

. 17

. 73

. 78

. 24

. 82

.95

. 72

. 16

. 06

.96

.94

. 32

. 06

. 55

. 38

. 07

.89

. 44

. 19

. 46

. 78

. 00

.60

. 76

mo

16.62

17. 12

16. 01

17. 58

17. 01

1 6 . 6 7

1 6 . 8 8

1 7 . 13 :

1 6 . 8 2

1 7 . 3 1

1 5 . 8 2

1 6 . 8 7

16.6 6

1 6 . 6 0

1 6 . 8 3

1 7 . 3 3

1 7 . 07 :

1 6 . 6 8

1 6 . 6 8

1 6 . 8 7

1 7 . 0 0

1 6 . 2 3

1 5 . 5 1

1 7 . 3 8

1 6 . 8 4

1 7 . 4 6

1 6 . 7 6

1 6 . 8 6

1 6 . 5 7

1 7 . 1 1

1 7 . 1 8

1 6 . 4 9

1 6 . 7 6

1 7 . 0 6

16.6 1

1 6 . 9 7

17. 18

17. 02

17. 12

16. 60

16. 11

17. 14

16. 88

16. 94

16. 98

17. 05

16. 72

16. 97

16. 91

16. 73

17. 61

1 7 . 0 0

1 6 . 9 8

1 6 . 7 6

1 6 . 8 0

1 6 . 9 7

1 7 . 3 5

17. 14

17. 17

16. 50

17. 25

16. 88

17. 20

15. 75

17. 12

16. 22

16. 44

16.62

16. 82

16. 96

16. 73

16.68

16. 28

16. 80

16.76

16. 94

16. 46

16. 94

17. 23

A

1. 02

1. 17

0. 37

0. 97

1. 23

1. 28

0. 30

0. 38:

1. 17

1. 26

0. 67

1. 38

1. 74

0. 55

1. 35

1. 20

0. 98:

0. 47

1. 22

1. 54

1. 57

0. 96

0. 42

1. 00

1. 54

1. 25

1. 72

1. 20

0. 40

1. 17

1. 06

0. 71

1. 04

0. 65

1. 59

0. 84

1.69

0. 86

1. 24

1. 11

0. 36

0. 83

1. 48

1. 10

1. 82

1. 49

1. 53

0. 87

1. 31

1. 00

1. 24

1. 49

0. 80

0. 70

1. 22

0. 80

0. 62

1. 36

1. 93

0.68

1. 30

1. 16

1. 04

0. 69

1. 16

1. 28

1. 12

1. 56

1. 27

1. 58

0. 66

0. 79

0. 84

1.61

1. 30

1 . 1 6

1 . 4 6

1 . 3 4

0 . 4 7

(m

16.

16.

15.

17.

16.

16.

16.

17.

16.

16.

1 5 .

16.

1 5 .

16.

16.

16.

16.

16.

16.

16.

16.

15.

1 5 .

17.

16.

17.

16.

16.

16.

16.

16.

16,

16.

16

16,

16.

16,

16

16

16

15

16

16

16

16

16

16

16

16

16

17

16

16

16

16

16

17

16

16

16

16

16

17

1 5

16

15

16

15

16

16

16

16

15

16

16

16

15

16

16

>0

19

78

79

16

54

16

71

17:

39

76

51

25

94

it

33

88

68:

4

1)

10

34

45

77

31

00

31

05

, 07

. 37

, 42

. 51

.79

. 26

. 31

. 80

. 08

.64

.63

.64

.61

. 16

.96

. 82

. 30

.49

. 09

. 56

. 10

. 58

. 37

. 35

. 15

. 42

.68

. 45

. 41

. 66

. 07

. 43

. 50

. 19

.69

. 47

. 13

. 39

.63

.75

. 00

.96

. 38

. 43

. 47

. 40

.94

. 26

. 30

. 43

.91

. 42

.97

X

16.

16.

15.

17.

16.

16.

16.

16.

16.

16.

15.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

15.

15.

16.

16.

17.

16.

16,

16.

16,

16,

16,

16,

16

16

16

16

16

16

16

15

16

16

16

16

16

16

16

16

16

17

16

16

16

16

16

17

16

16

16

16

16

16

15

16

15

16

16

16

16

16

16

15

16

16

16

15

16

17

0

27

73

82

22

55

21

73

99:

34

87

47

37

02

38

33

90

72:

50

27

36

40

69

, 29

.99

, 27

,02

, 14

. 44

. 40

.71

.81

. 23

, 40

.79

. 01

.66

. 58

. 70

.70

. 21

.95

. 82

. 39

. 53

. 29

. 52

. 20

.64

. 45

. 37

. 15

.48

.70

.49

- 39

.66

. 11

.66

. 45

. 27

. 78

. 47

.81

. 43

.69

. 75

. 03

. 10

. 34

. 30

. 50

. 41

.97

. 25

. 27

. 54

.95

. 47

. 05

M-m

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

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0.

0.

0.

0.

0.

0.

0.

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0.

0.

0.

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0.

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0.

0.

0.

0.

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0.

0.

0.

0.

0.

1 5

10

47

20

20

16

44

25

20

15

44

16

17

26

17

18

14

16

14

14

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45

46

24

16

14

18

14

22

18

12

12

16

23

18

14

13

16

19

14

41

18

11

20

18

14

14

18

22

16

16

14

14

20

11

20

22

19

15

14

18

15

18

38

20

17

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12

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22

16

16

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22

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3.

3.

4.

3.

5.

4.

1.

2.

5.

3.

2.

3.

4.

2.

3.

3.

3.

4.

4.

2.

5.

2.

2.

4.

3.

5.

3.

3.

3.

1.

3.

3.

3.

5.

3.

4.

5.

4.

3.

5.

2.

4.

4.

4.

3.

5

1

2

3

2

8

4

0

3

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6

4

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5

9

1

4

6

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0

2

7

5

0

7

2

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6

0

9

1

2

1

5

2

3

0

7

8

9

3

5

9

9

9

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6

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1

9

5

9

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0.

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81

81

26

25:

84

78

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88

1 3

19

88

76

61 :

11

72

89

05

96

i<)

69

00

78

10

74

30

71

66

45

64

47

05

55

05

56

74

68

28

56

87

72

22

94

91

58

82

64

81

92

50

47

72

54

42

84

27

41

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73

69

57

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98

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48

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31

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1 2

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24

33

96

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74:

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2H

04

00

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63

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94

26

91

21

91

80

53

78

36

08

60

28

60

00

88

16

55

20

78

20

12

22

57

97

72

88

12

60

46

00

53

41

02

33

54

95

86

70

26

78

91

80

28

88

22

53

62

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33

86

89

12

00

33

d m

0.

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0.

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52

49

79

36

45

98

22

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54

39

00

24

48

00

07

35

00

05

36

60

35

10

1 1

48

80

H

58

58

10

00

00

91

00

00

24

00

00

30

48

00

00

06

72

50

02

00

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1 5

48

48

00

00

42

03

1 1

59

46

18

30

65

30

36

40

81

28

80

00

16

00

56

03

10

30

00

56

36

67

00

00
177

TABLE 4.—Light-curve parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

HV

12938

2085

1728

1866

11186

1356

1585

1617

1776

21 16

1704

2213

11490

2086

11205

1725

1352

2151

1710

2089

858

1483

1523

11396

1757

1691

212

2024

1379

11117

1797

1882

1694

1544

1580

1552

1781

1584

1634

1914

1653

1737

1602

2132

2075

1679

1718

1795

1807

1470

1477

11257

1474

12928

831

12112

1793

1952

1439

214

2175

1539

1994

2221

1607

1665

1825

1966

1944

11152

842

1829

1566

1576

1401

20 26

830

11165

1879

I

3.

3.

3.

3.

3.

5.

3.

3.

3.

3.

3.

3.

i.

3.

3.

3.

3.

3.

3.

3.

1.

3.

3.

3.

3.

J.

J.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

3.

4.

4.

4.

4.

4.

4.

4.

4.

4.

4.

4.

4.

4.

4.

4,

4,

4.

4.

4.

4,

4.

4,

4,

'eriod

714048

716671

717928

724908

734506

737912

739800

741143

749756

751937

776164

786521

788955

789458

802571

808537

8095

811053

825628

825657

832724

832782

858813

860750

889765

901449

901449

908311

909380

911128

914360

930679

934808

939403

941244

948901

963080

968207

970365

971579

972384

973442

997793

006124

027581

040812

045226

079218

088458

092239

123949

126519

160606

168230

.173919

,180584

.181441

.188271

.193169

,205197

.210763

,212814

,213400

.235353

,245816

.252677

4. 260377

4,

4

4

4

4

4

4

4

4

4

4

4

,269964

.277916

. 282600

.289563

.290777

.313878

. 336307

. 341107

.342576

. 350607

.356862

.363782

log P

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5698

5702

5703

5711

5722

57 26

5728

5730

5740

5743

5770

5782

5785

5786

5801

5808

5809

5810

5827

5827

5835

5835

5865

5867

5899

5912

5912

5920

5921

5923

5928

5945

5949

5954

5956

5965

5980

598 6

598 8

599 0

599 1

5992

6018

6027

6050

6065

6069

6106

6116

6120

6153

6156

6192

6199

.6205

,6212

.6213

.6220

,6225

.6238

,6244

.6246

,6246

,6 269

,6280

,6287

.6294

.6304

.6312

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.6324

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.6 349

.6371

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.6385

.6392

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16.

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16.

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1 5.

16.

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15.

15.

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16.

15.

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15.

15.

15.

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16.

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15.

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53

32

29

88

52

08

26

38

24

48

35

38

29

70

52

20

52

47

51

56

84

25

33

00

03

43

22

11

21

79

84

08

15

90

76

30

62

, 94

. 55

, 37

, 70

, 34

. 34

. 49

, 58

. 20

. 50

. 27

. 75

. 37

. 19

. 81

. 32

. 72

. 39

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. 90

m

16.

17.

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16.

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17.

16.

16.

16.

17.

16.

16.

16.

17.

17.

17.

17.

17.

16.

17.

17.

17.

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16.

17.

17.

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16.

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17.

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16.

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90

05

57

75

61

73

72

85

75

20

91

34

68

10

58

84

73

1 3

10

54

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20

55

48

03

10

55

27

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51

86

26

53

18

15

93

95

17

40

53

02

65

97

41

43

73

21

54

13

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95

99

36

00:

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98

97

45

38

, 27

59

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. 75

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16.

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16.

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16.

16.

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16.

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31

62

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79

18

94

30

73

13

82

98

21

27

91

97

74

44

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39

82

56

00

45

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57

86

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69

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69

89

68

58

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lb

)

52

68

19

37

29

33

47

54

45

86

36

82

30

42

20

50

36

74

59

18

44

85

17

06

41

69

18

78

04

10

31

94

09

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50

47

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83

77

17

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25

52

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48

80

08

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72

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M - m

0. 20

0. 20

0. 22

0. 14

0. 26

0. 18

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0. 25

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2

7

6

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3

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6

8

9

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68

65

68

68

38

71

44

54

53

60

79

92

68

21

68

60

66

69

90

63

99

61

67

74

10

73

65

87

73

73

97

56

77

52

15

81

98

60

11

64

95

71

79

73

73

44

72

81

59

76

40

79

32

61:

63

72

79

72

46

86

, 24

, 62

, 90

, 93

. 81

, 65

. 73

. 78

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. 39

. 78

. 81

. 23

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. 93

. 74

.90

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71

58

87

32

73

46

44

68

49

83

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76

53

83

73

85

86

91

65

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43

69

84

29

98

77

65

92

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61

94

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, 80

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. 94

. 58

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. 85

. 80

. 21

. 83

.92

.91

. 02

. 52

. b2

d m

0.

0.

0.

0.

0.

0.

0.

0.

0.

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49

00

44

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70

65

26

00

44

00

28

00

00

49

79

00

30

00

00

67

43

16

49

00

00

28

88

81

28

48

44

70

65

56

44

57

36

39

44

26

70

25

00

00

00

22

00

85

4?

03

47

52

85

31

00

30

70

00

, 00

, 80

. 00

.00

. 17

. 36

. 02

, 00

. 40

. 74

. 17

. 16

. 72

. 52

. 88

. 00

. 85

. 57

. 4^
178

TABLE 4.—Light-curve parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

HV

1619

1525

1562

11237

1740

861

1961

1581

1946

2136

1608

1551

1519

1406

1405

1425

1745

2199

1598

11527

1808

1388

1657

1693

1493

851

1975

2224

2078

2008

2129

1785

1601

2018

1899

2164

1750

1536

11273

12151

2207

1572

2125

1480

1593

1683

1641

1934

1771

1431

1387

1735

1671

1343

1624

1827

2145

1555

1909

11484

1742

1419

1499

1995

1992

12173

1699

1951

1927

1526

1903

2211

1672

1531

1457

1514

1752

12941

11170

Period

4. 375314

4. 384541

4. 388255

4. 388429

4. 412280

4. 413842

4. 429267

4.461876

4. 468974

4. 482065

4.491939

4.496747

4. 500673

4. 506027

4. 511556

4. 547170

4. 561669

4. 577015

4. 582237

4. 593755

4. 636777

4.654453

4. 667009

4. 672220

4.672416

4.685052

4. 700419

4. 703865

4. 707034

4. 707921

4. 729917

4. 729944

4. 735880

4. 742146

4. 760545

4. 769157

4. 769900

4.786655

4. 794025

4. 796347

4.814729

4. 838280

4. 844562

4. 846055

4. 846347

4. 857411

4. 860834

4. 874815

4. 876621

4. 885317

4. 896944

4. 898838

4. 900736

4. 915696

4. 916808

4. 921478

4. 941147

4. 942396

4. 947874

4. 967660

4. 987233

4. 988128

5. 002076

5. 012808

5. 048695

5. 049689

5. 058118

5. 083367

5. 084556

5. 087583

5. 094892

5. 095061

5. 104515

5. 112082

5. 112759

5. 119096

5. 126391

5. 128021

5. 145696

log P

0. 6410

0.6419

0.6423

0.6423

0.6447

0. 6448

0.6464

0.6495

0.6502

0.6515

0.6524

0.6529

0. 6533

0.6538

0.6543

0.6577

0. 6591

0.6606

0.6611

0.6622

0.6662

0.6679

0.6690

0.6695

0.6695

0.6707

0.6721

0.6725

0.6727

0.6728

0.6748

0.6749

0.6754

0.6760

0.6777

0.6784

0.6785

0.6800

0.6807

0.6809

0.6826

0.6847

0.6853

0.6854

0.6854

0. 6864

0. 6867

0.6880

0. 6881

0.6889

0. 6899

0.6901

0. 6903

0.6916

0.6917

0.6921

0.6938

0.6939

0.6944

0.6962

0. 6979

0.6979

0. 6691

0. 7001

0.7032

0.7033

0.7040

0.7062

0. 7063

0.7065

0. 7071

0.7072

0. 7080

0. 7086

0.7087

0. 7092

0. 7098

0. 7099

0. 7114

M

15.

15.

15.

15.

15.

14.

15.

15.

16.

15.

16.

15.

15.

15.

14.

14.

16.

15.

15.

15.

15.

15.

16.

15.

15.

15.

16.

15.

16.

15.

15.

15.

15.

15.

14.

15.

16.

15.

15.

15.

15.

15.

15.

15.

15.

16.

14.

15.

15.

15.

15.

15.

14.

15.

15

15

15

14

14

15

15

15

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15

15

15

15

14

15

15

15

15

16

15

15

15

15

16

16

0

7 3

85

43

69

19

81

81

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05

27

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74

34

65

94

88

12

63

26

7 0

1 8

4 4

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91

95

50

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57

12

26

43

76

75

88

91

23

31

40

88

64

82

69

84

35

32

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98

5 0

37

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, 17

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. 7 9

. 9 4

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. 9 7

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. 93

. 71

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. 84

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m

16.

17.

16.

16.

16.

16.

17.

16.

17.

16.

16.

16.

16.

16.

16.

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17.

16.

16.

16.

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16.

16.

16.

16.

16.

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16.

16.

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16.

16.

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16.

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17.

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16.

16.

16.

16.

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16.

16,

16,

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35

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62

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85

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78

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69

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86

26

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A

1. 21

1. 29

0.99

1. 16

1. 16

1. 59

1. 37

1. 14

0.97

1. 53

0. 96

0. 98

1. 28

0.98

1. 52

1.86

1. 03

1. 07

1. 14

0.97

1.45

1. 16

0. 89

0.77

0.66

1.47

0. 79

0.81

0. 80

1. 04

1. 34

1. 00

1.07

0.91

1. 22

1.39

0.63

1.38

0.72

1.05

0.76

1.17

1. 42

0.94

1. 18

0.68

1. 40

1. 20

1.48

1. 15

1. 23

1. 08

1. 98

1. 15

1. 54

1. 47

1. 05

1.61

2.03

1. 75

1. 42

0. 87

1. 35

1. 38

1. 07

1. 54

1.01

1. 55

1. 18

1. 72

1. 37

0.64

0. 92

0. 93

1.64

1. 11

1.07

0.67

0.45

( m )

16.

16.

15.

16.

15.

15.

16.

16.

16.

16.

16.

16.

16.

16.

15.

16.

1 6 .

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

16.

15.

16.

16.

16.

16.

15.

16.

16.

16.

16.

16.

16.

16.

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15.

15.

16.

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16

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15

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16

16

16

16

16

16

15

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16

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0

47

6 4

97

33

91

6 0

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0 3

50

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61

31

01

23

93

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2 2

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11

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33

37

20

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57

83

15

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58

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27

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93

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M - m

0. 17

0. 14

0. 20

0. 22

0. 17

0. 19

0. 20

0. 20

0. 20

0. 18

0. 21

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0. 17

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a

3.

5.

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3.

3.

3.

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3 .

1.

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2 .

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2.

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3

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66

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57

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67

71

86

6 4

9 6

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94

54

53

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74

88

68

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dm

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KH

it,

4 4

91

2 0

4 0

0 0

00

30

00

00

72

30

48

0 0

26

70

98

02

00

72

00

79

7 2

36

00

10

1 1

59

88

35

00

. 45

, 31

, 02

, 25

. 35

. 48

. 00

. 17

. 9 0

. 70

. 35

. 00

. 05

. 03

. 40

. 30

. 85

. 0 7

. 00

. 54

. 8 5

. 56

. 80

. 44

. 35

. 00
179

TABLE 4.—Light-curve parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

HV

1701

820

1633

1626

1982

1646

2031

1635

1564

1957

1649

11178

1461

1818

1811

1878

1929

1588

2162

1618

1892

211 3

1416

156 3

1706

1570

1767

2161

1794

862

815

1503

1434

1537

12925

2041

10375

2144

1500

2203

11123

2198

2124

1734

1583

1858

2040

1612

1605

11240

1492

1979

1394

11176

1520

1676

11193

2174

1412

1945

1561

2142

1862

1512

1988

826

11112

1400

1324

2163

2223

1775

1509

1855

1689

1435

10385

11140

2054

P

5.

5.

5.

5.

5.

5.

5.

5.

S.

5.

5.

5.

5.

5.

S.

S.

5.

5.

s.

5.

5.

s.

5.

5.

5.

5.

5.

5.

5.

5.

5.

5.

5.

5.

5.

5.

5.

5.

5.

5.

6.

6.

6.

6.

6.

6.

6.

6.

6.

6.

6.

6.

6.

6.

6.

6.

6.

6.

6,

6.

6.

6,

6

6

6

6

6

6

6

6

6

6

6

6

6

7

7

7

7

eriod

171807

200560

200830

202724

224855

233821

248655

249619

254004

319262

323693

361528

404616

458843

469861

548958

584440

590184

632320

649335

653194

662258

662354

665369

679043

721871

733945

739025

777367

789717

79486 3

803359

833013

842213

888865

911249

938101

942971

949796

962282

011533

064465

064539

069029

084428

111834

112096

182992

209522

228822

292208

.296595

301158

.342160

.384748

,389654

,427066

.429336

.463832

.468724

.473372

.490223

.490598

.546816

.561163

.566419

.611559

.648163

.663725

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.011885

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. 164241

.165295

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7136

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7201

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. 00

.67

. 20
180

TABLE 4.—Light-curve parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

HV

12952

1527

2119

1801

853

1427

1548

1905

1973

1355

1599

1758

1592

2081

1582

1393

12940

1666

1709

1764

816

845

1950

1396

2140

1632

1415

1785

1589

1437

1374

1338

1784

12954

1362

1411

1790

2103

1484

835

12950

1399

2087

2215

1486

836

1334

1569

1487

1768

10355

2060

818

1402

1521

1426

2229

11116

1377

1323

1363

1705

1382

206 3

1471

2201

1630

2017

1610

11263

857

1682

856

1 365

2227

2230

1553

2052

1744

Period

7.182360

7. 228515

7. 272674

7. 279345

7. 334443

7. 334587

7. 350077

7.416802

7. 480607

7. 483104

7. 498219

7.499625

7. 534092

7.607628

7.681495

7. 722902

7.755305

7. 771699

7.894529

7. 935437

7. 94085

7.950832

7. 990220

8. 061161

8. 115697

8. 126580

8.141068

8. 148830

8. 332986

8. 376213

8. 396235

8. 493446

8. 682741

8.826671

8. 844470

8. 849588

8. 872721

8. 984080

9. 025906

9. 051330

9.087687

9.145282

9.159187

9. 174396

9. 189303

9. 403445

9. 451439

9. 525624

9. 560778

9. 808249

10. 038246

10.18447

10. 33506

10. 426007

10.427528

10. 43885

10.448011

10.485807

10.528089

10.560554

10.676233

10.758125

10.883998

11.166230

11.192693

11. 252644

11. 401209

11.407450

11. 644997

11. 770245

1 1. 892936

12. 149930

12. 155307

12. 413262

12. 466963

12. 525122

12. 543247*

12. 57498

12. 623872

log P

0.8563

0.8590

0.8617

0. 8621

0.8653

0.8654

0.8663

0.8702

0. 8740

0. 8741

0.8744

0.8750

0.8770

0. 8812

0.8854

0.8878

0. 8896

0.8905

0. 8973

0.8996

0.8999

0. 9004

0. 9025

0.9064

0.9093

0.9099

0.9107

0. 9111

0.9208

0.9230

0.9241

0.9291

0.9387

0. 9458

0.9467

0. 9469

0.9481

0. 9535

0.9555

0.9567

0.9584

0.9612

0.9619

0. 9626

0.9633

0.9733

0.9755

0.9789

0. 9805

0. 9916

1.0002

1.0079

1.0143

1. 0181

1.0182

1. 0187

1.0190

1. 0206

1.0223

1. 0237

1.0284

1.0317

1.0368

1.0479

1. 0489

1.0513

1.0569

1.0572

1. 0661

1. 0708

1. 0786

1. 0846

1. 0848

1.0939

1.0958

1.0978

1.0984

1.0995

1. 1012

Mo

15. 40

15. 40

15.67

15. 53

14. 45

15. 63

15. 47

15. 20

15. 29

14. 73

15. 35

14. 74

14.88

14. 74

15.82

15. 21

15. 95

14. 84

14. 86

15. 56

15. 53

14. 60

15. 44

14. 33

15. 58

15. 63

16. 04

14. 86

15. 08

14.46

14. 65

15. 50

15. 08

15. 87

15. 53

14. 81

14. 86

15. 24

14. 84

14. 46

14.98

15.99

15. 44

14. 94

15. 29

14.81

14. 65

14. 86

14. 62

15. 29

15. 13

14. 35

14. 68

15. 63

14.75

14. 51

15. 15

14. 24

14. 21

14.99

14. 95

14. 74

14. 72

14. 89

14. 95

14. 60

14. 55

14.46

13. 89

15. 54

13. 92

14. 04

14. 52

14. 56

15. 38

15.66

15. 28

13.91

14. 03

m

o

16. 01

16.46

16. 45

15. 89

15.75

16.61

15. 93

16. 38

16. 20

15. 92

16. 23

16. 13

15. 54

15. 62

16. 38

15. 93

16. 68

15. 87

16. 54

16. 36

16. 44

15. 94

16. 06

16. 27

16. 77

16. 19

17. 07

16. 20

16. 14

15. 54

15. 56

16. 37

15.88

16. 56

16. 04

16. 35

15. 98

16. 30

15. 50

15. 78

16. 49

16. 92

16. 22

16.05

16.46

16. 12

15.98

16. 11

15. 70

15.73

15. 73

15. 27

15. 55

15. 94

15. 61

15.93

16. 18

15. 26

15. 43

16. 25

15. 59

15. 60

16. 29

16. 18

15. 90

15. 90

15.69

15. 70

15. 35

16. 10

15. 20

15. 78

15. 92

15.75

16.43

16. 26

16. 46

15. 17

15. 16

A

0.61

1. 06

0.78

0. 35

1. 30

0. 98

0. 46

1. 18

0.91

1.19

0. 88

1. 39

0.66

0. 88

0. 56

0.72

0.73

1. 03

1. 68

0. 80

0. 91

1. 34

0. 62

1. 93

1. 19

0. 56

1. 03

1. 34

1.06

1. 08

0. 91

0. 87

0. 80

0.69

0. 51

1. 54

1. 12

1. 06

0.66

1. 32

1. 51

0.93

0. 78

1. 11

1. 17

1. 31

1. 33

1. 25

1.08

0. 44

0.60

0.92

0. 87

0. 31

0. 86

1.42

1. 03

1. 02

1. 22

1. 26

0. 64

0. 86

1. 57

1.29

0. 95

1. 30

1. 14

1. 24

1.46

0. 56

1. 28

1.74

1.40

1.19

1. 05

0. 60

1. 18

1.26

1. 13

<

m

>0

15.

16.

16.

15.

15.

16.

15.

13.

15.

15.

15.

15.

15.

1 5.

16.

15.

16.

15.

15.

1 5.

15.

15.

15.

15.

16.

15.

16.

15.

1 5.

14.

15.

15.

1 5.

16.

15.

1 5.

1 5.

1 5.

1 5.

1 5.

1 5.

16.

15.

15.

15.

66

07

04

71

21

15

69

85

69

36

77

53

20

19

06

51

29

29

66

BH

98

35

74

28

18

85

53

46

60

98

12

89

43

21

76

38

36

68

13

05

62

50

73

48

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15.45

15.

15.

15.

15.

15.

14,

15.

15.

15.

15,

15,

14,

14,

15,

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15

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14,

15,

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1 5

14

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, 33

, 55

. 11

. 4 9

. 42

. 8 0

. 15

. 77

. 0 9

. 31

. 6 7

. 71

. 9 0

. 56

. 25

. 18

. 6 4

. 54

. 25

. 23

. 19

. 16

. 6 2

. 8 5

. 45

. 9 5

. 38

. 18

. 8 9

. 9 3

. 9 7

. 6 1

. 67

x

o

15. 76

16. 06

16. 16

15. 63

15. 26

16. 12

15. 72

15. 94

15. 81

15. 46

15.88

15.64

15. 24

15. 27

16. 14

15. 64

16. 37

15. 48

15. 92

16. 03

16.08

15. 42

15.77

15. 55

16. 31

15. 95

16.67

15. 71

15. 77

15. 15

15. 20

16. 01

15. 56

16. 28

15.84

15. 79

15.57

15. 70

15.26

15. 21

15. 74

16. 57

15.78

15. 46

16. 00

15.64

15.48

15. 59

15. 30

15. 56

15. 40

14.89

15. 21

15. 76

15. 12

15.33

15.60

14.66

14. 84

15. 54

15. 21

15. 13

15. 51

15. 54

15. 54

15. 16

15. 33

15. 30

14. 75

15. 78

14. 53

14. 80

15. 37

15. 32

15. 98

15. 97

15. 91

14. 77

14. 57

M - m

0,

0,

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

. 30

. .dl

. 24

. 29

. 22

. 41

. 45

. 23

. 26

. 25

. a

. 2t,

. ib

. 11

. 2K

. 26

. <4

. 25

. 11

. 50

. 27

. 27

. 40

s

I.

3.

2.

2.

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1.

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3.

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2.

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2.

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5

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0,

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70

52

26

H6

H6

57

77

69

HI

6 2

H6

53

61

i')

51

55

68

09

5H

63

91

52

27

82

4 i

70

86

65

69

64

64

57

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35

99

72

06

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00

32

61

78

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, 81

. 84

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. 9 2

. 71

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, 58

. 6 8

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. 31

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. 03

. 0 2

. 05

. 26

. 6 4

. 83

. 38

. 14

. 63

. 30

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. 71

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. 56

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. 76

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. 70

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35

7 2

SI

IK

8 8

2 i

1 9

H4

6 3

7<>

SI

0 4

r,

55

35

42

J4

(>')

19

46

S(,

8 6

2 0

J3

7b

26

66

98

82

79

55

45

46

0. 40

0.

1.

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11

0. 81

0.

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77

65

, 6 3

. 28

. 50

. 74

. 94

. 8 9

, 77

. 72

. 28

. 05

. 4 8

. 55

0. 00

0.

0,

0,

0.

0,

0

0,

0,

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. 71

. 41

. 00

. 35

. 00

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. 0 8

0. 36

0. 30

0 . 6 6

0. 47

0

0

0

0

0.

0,

0,

0,

0

0

0

0

0

. 49

. 6 4

. 55

. 00

. 23

. 30

. 88

. 86

. 49

. 17

. 45

. 6 4

. 20

dm

0. 00

0.60

0. 00

0. 35

0. 40

0. 81

0. 35

0. 00

0. 40

0.79

0. 52

0. 35

0. 52

0. 00

0. 00

0. 88

0. 22

0. 15

0. 58

0. 11

0. 53

0. 22

0. 00

0. 81

0. 00

0. 15

0. 95

0.00

0. 52

0. 70

0. 79

0. 50

0. 28

0. 00

0.77

0.95

0. 22

0. 00

0.67

0. 36

0. 00

0.88

0. 00

0. 00

0. 79

0. 00

0. 38

0. 31

0. 56

0. 03

0. 79

0. 00

0. 50

1. 03

0. 43

0. 70

0. 00

0.88

0.77

0. 00

0. 79

0. 36

0. 88

0. 00

0. 67

0. 00

0. 48

0. 10

0. 31

0. 90

0. 30

0. 58

0. 00

0. 79

0. 00

0. 00

0. 74

0. 30

0. 11
181

TABLE 4.—Light-curve parameters for periodic variables (*in Column 1 denotes W Virginis stars;

in Column 2 denotes variable periods).—Continued

Period log P

1873

1351

2225

2202

1464

2189

827

1345

1438

1373

1326

1933

1454

10366

1996

1335

1386

1579

2088

1695

843

12901*

2233

1442

1560

12108

1481

1372

1482

1328

854

1787

1835

1333

828

1533

1954

822

1828*

1925

1478

1342

1884

817

1541

2222

1543

1522

2209

1430

11129

2205

847

10353

1501

819

863

1967

12951

1451

1369

823

10357

1636

855

840

865

2064

2231

11182

2195

837

1877

824

11157

834

829

206*

821

1956

12.941131 1

13.084381 1

13.154599 1

13.182314 1

13.295751 1

13.459131 1

13.465656 1

13.476726 ]

13.646365 1

13.709355 1

13.7274 1

13.780938 1

14.068061 ]

14.135674

14.240957 J

14. 3806

14.428973

14. 573011

14.578832

14.596196

14. 714971

15. 074089

15.172204

15.287481

15. 509166

15.610365

15.651902

15. 774115

15.82769

15.840831

15.953034

16.196955

16.244842

16. 289

16.296996

16. 435021

16.700904

16.742006

17.195722

17.199567

17.532786

17.938507

18.116598

18.892520*

19.326884

19.985803

20. 454500

22.14355

22. 650006

23. 97284

24. 4757

25. 432997

27. 057009

27. 228396

27.406271

28. 443029

28.961606

29.0533*

29. 989504

30.063434

31. 024

31. 925

32. 012175

32. 746

32. 941331

33.039284

33. 326668

33.663263

36.67924

39.199

41.809912

42.680324*

49.667

65.798

68.9085

73. 589*

88. 5*

107. 8*

127.78

209. 996

.1120

.1167

. 1191

. 1200

. 1237

. 1290

.1292

. 1296

. 1350

. 1370

. 1374

.1392

. 1482

. 1503

.1535

. 1578

. 1592

. 1635

.1637

. 1642

.1678

. 1782

. 1810

. 1843

.1906

. 1934

.1946

.1979

.1994

. 1998

. 2028

. 2094

.2107

.2119

. 2121

. 2158

. 2227

L.2238

. 2354

I. 2355

L. 2439

.2538

1.2581

t. 2762

1. 2862

1. 3007

1. 3108

1.3452

.. 3551

1. 3797

1.3887

1.4054

1.4323

1.4350

1.4379

1.4539

1.4618

1.4631

1.4770

1.4780

1.4916

1. 5041

1. 5053

1.5152

1.5177

1. 5190

1. 5228

1.5272

1.5644

1.5933

1.6213

1.6302

1.6961

1.8182

1.8383

1.8668

1.9469

2.0162

2.1065

2. 3222

14. 48

14. 00

15. 24

14. 34

14. 70

14. 50

14. 14

14. 06

14. 32

14. 91

14. 95

14. 17

14. 95

14. 44

14. 94

14. 20

14.68

14. 06

14. 14

14. 60

14. 82

17. 16

14. 32

14.06

14. 27

14. 19

14. 23

14. 27

14. 48

14. 32

13. 92

14. 30

14.78

14. 14

15. 46

15. 01

1 3. 60

13. 55

16. 55

13. 61

15. 03

13. 93

14. 54

13. 63

13. 96

14. 27

14. 11

14. 05

1 3. 55

13. 46

14. 41

14. 28

13. 69

14. 29

14. 15

13.68

13. 58

13. 70

14. 22

13.66

14. 11

13. 34:

13. 28

13. 78

14. 04

13. 31

14. 07

13. 71

14. 16

13. 86

12.99

13. 20

13. 34

11. 89

13. 18

12. 30

12. 24

14. 00

11. 73

11. 59

16. 17

15. 29

16.03 (

15. 39

15. 72

15. 80

15. 20

. 6 9

. 2 9

). 79

. 05

. 0 2

. 30

. 06

15.04 0.96

15.84 . 52

15.61 0.70

15.97 . 0 2

15.16 0.99

16. 26

15. 54

16.48

15. 53

16. 18

15. 40

16. 23

15.63

16. 21

17.80

15. 80

15. 60

15.46

15. 45

15.65

15. 73

16. 25

16. 00

15. 82

15. 52

16. 18

15. 62

16.63

16. 34

14. 87

15.42

17.98

14. 81

15.87

14.72

16.01

15. 04

14. 84

15.70

15. 94

15.66

14. 74

14. 86

16. 04

16. 12

15. 06

15. 51

15. 56

15. 11

15.65

15. 00

15. 31

15. 41

15. 08

15. 08:

15. 13

14. 61

14. 73

14. 61

15. 59

15. 18

15.66

15. 07

14. 27

14. 56

14. 56

13. 63

13.90

13. 23

13. 16

15. 50

12. 65

12. 84

. 31

. 10

. 54

. 33

. 50

. 34

J. 09

. 03

. 3 9

). 64

. 4 8

. 54

. 19

I. 26

1.42

. 4 6

1.77

1.68

I. 90

L. 22

1. 40

1.48

I. 17

1.33

I. 27

1.87

I. 43

1. 20

3.77

D. 79

1.47

1.41

D. 88

1. 43

1.83

1.61

1.19

1.40

1.63

I. 84

1.37

1. 22

1. 41

1.43

2.07

1. 30

1. 09

1. 71

3. 97

1. 74

1.85

0. 83

0. 69

1. 30

1. 52

1.47

1. 50

1. 21

1. 28

1. 36

1. 22

1. 74

0.82

0. 93

0. 85

1. 50

0. 92

1. 25

15. 31

14. 81

15. 58

14.91

15. 30

15. 06

14. 69

14. 57

15. 20

15. 31

15. 22

14.62

15. 58

15. 06

15.77

14. 97

15. 54

14. 80

15. 34

15. 15

15.66

17. 36

15. 14

14. 97

14. 84

14. 83

15. 10

15.00

15.66

15. 24

14. 85

15. 10

15. 53

14.99

16.09

15.60

14. 20

14.67

17. 28

14. 27

15. 46

14. 35

15. 28

14. 40

14. 36

15. 10

14.89

14. 81

14. 15

14. 20

15. 22

15. 43

14. 50

14. 89

14.69

14. 45

14. 86

14. 27

14. 83

14. 73

14. 53

14. 24:

14. 37

14. 22

14. 33

13. 88

14. 99

14. 16

15. 11

14. 44

13. 68

13. 90

13. 97

12.75

13. 53

12. 82

12. 68

14. 62

12. 15

12. 03

15.51

14.64

15.63

14.90

15.31

1 5. 26

14.68

14.64

15.04

15.32

15.51

14.77

15.64

15.03

15.85

14.99

15.58

14. 83

15.49

15.15

15.68

17.40

15.06

15.00

14.97

14.92

14.99

15.16

15.44

15.34

15.16

15.08

15.66

15.06

16. 22

15.79

14. 30

14.79

17.38

14.27

15.58

14.40

15.37

14.44

14.49

15.17

15.20

15.09

14. 26

14.40

15.43

15.53

14.57

15.03

15.03

14.61

15.08

14.49

14.89

14.74

14.66

14.51:

14. 56

14.29

14.47

14.19

15.09

14.69

15.08

14.55

13.85

14.04

14.11

12.99

13.52

12.90

12.80

14.80

12.17

12.30

1.3

1.3

1.6

2. 4

2. 1

1.4

2. 2

1.2

2. 1

1.7

1.5

1.6

2. 3

2. 3

2. 5

4. 0

1.6

2 . 9

2. 1

1.3

2 . 8

2. 3

2. 1

1.6

2 . 6

1.7

2 . 6

3 . 9

3 . 6

3. 1

3. 1

4 . 0

2. 2

5. 1

3 . 2

1.7

2 . 8

1.6

1.9

2 . 7

3 . 2

2. 4

4. 0

6. 5

3. 0

6 . 6

3 . 8

2 . 6

3 . 2

4. 1

6. 5

2 . 6

2. 7

2. 7

1.9

6. 3

. . 11.0

2. 8

3 . 0

8. 2

6. 2

3 . 6

2. 8

2. 0

5. 3

2. 8

3. 0

3 . 4

1.6

4. 1

2. 0

1.6

1.2

1.9

1. 16

1. 14

0. 70

0.86

0. 72

0. 96

0. 91

0. 70

1. 40

0. 52

0.82

0. 68

1. 10

0. 90

1. 11

0. 96

1. 05

1. 00

1. 30

0. 84

0. 93

0. 70

1. 30

1.05

0. 86

0.93

1. 16

1. 01

1.42

1.16

1. 17

0. 78

0. 92

0. 98

0.73

0. 97

1. 01

1. 12

0. 94

0. 96

0. 52

0. 57

1. 14

1. 06

0. 61

0.99

1. 30

1. 00

0. 87

0. 81

1. 08

1.05

0. 86

0. 84

0.93

0. 89

1.00

0. 90

0.75

1. 18

0.74

1. 01

1. 00

0. 56

0. 46

0. 75

0.88

0. 86

1. 02

0. 91

0.75

0. 92

0. 80

1. 13

0. 67

0. 58

0. 64

1. 23

0. 85

0. 95

0. 92

0. 30

0. 18

0. 40

0. 59

0. 68

0. 31

0. 53

0. 27

0. 36

0. 42

0. 48

0. 43

0. 42

0. 88

0. 76

0. 90

0. 80

1. 56

0. 39

0. 92

0.47

0. 34

0.99

0.68

0.66

0. 54

0.91

0. 72

1. 04

1. 43

0.88

0. 95

1.01

0. 88

0.73

0. 42

1.50

0.99

0. 48

0. 49

0. 30

0.66

0. 52

0. 55

0. 94

1. 06

1. 21

0. 65

1. 18

1. 09

1. 56

1. 01

0. 76

0. 97

1.09

1. 74

0. 81

0. 69

1. 08

0. 46

1.46

1. 68

0. 53

0. 46

1. 14

1. 28

0. 96

0. 96

0. 60

1. 03

0. 87

0. 82

1. 24

0. 31

0. 71

0. 43

0. 57

0. 17

0. 59

0,07

0. 79

0. 00

0. 00

0. 85

0. 00

0. 36

0. 50

0. 70

0. 72

0. 00

0. 00

0.85

0. 00

0. 30

0. 45

0.88

0. 57

0. 00

0. 15

0. 17

0. 00

0. 00

0.90

0. 60

0. 31

0. 85

0.77

0.79

0. 00

0. 30

0. 02

0. 22

0. 45

0. 85

0. 60

0. 00

0. 79

0. 00

0. 09

0. 85

0. 50

0. 00

0. 00

0. 70

0. 00

0. 74

0. 70

0. 00

0. 70

0. 70

0. 00

0. 02

0. 81

0. 60

0. 79

0. 00

0. 00

0. 00

0. 85

0. 74

0. 34

0. 70

0. 36

0. 30

0. 17

0. 00

0. 00

0. 00

0. 03

0. 00

0. 00

0. 00

0. 59

0. 00

0. 17

0. 56

0. 00

0. 79

0. 30
182

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 5.—Frequency of period jor 1155 Cepheids

Period

>1 <2

2 3

3 4

4 5

5 6

6 7

7 8

8 9

9 10

10 11

(M-m)

No. of

stars

2 5 2

2 3 2

1 8 3

98

57

35

2 7

1 5

12

13

< 0. 3

Period

>11 <12

12 13

13 14

14 15

15 16

16 17

17 18

18 19

19 20

> 2 0

No. of

stars

8

9

11

9

10

7

4

2

2

3 4

(M-m)

Period

< 1

>1 <2

2 3

3 4

> 0. 3

No. of

stars

11

72

39

13

TABLE 6.—Frequency of log P for 1155 Cepheids

> 0.

0.

0.

0.

0.

0.

0.

0 .

0.

0.

0.

0.

0 .

0 .

0.

0 .

0 .

0.

0 .

0 .

l o g

00 <

0 5

10

15

2 0

2 5

3 0

3 5

4 0

45

5 0

55

6 0

6 5

70

75

80

85

9 0

9 5

P

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0 .

0.

0.

0.

0.

0.

0 .

1.

0 5

1 0

15

2 0

25

30

3 5

4 0

4 5

50

55

6 0

6 5

7 0

75

80

85

90

9 5

0 0

(M-m

No. of

stars

1

1 7

3 8

5 7

7 3

64

5 5

57

65

98

7 5

66

4 5

5 5

34

35

24

2 3

16

13

< 0.

> 1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

2

2

2

3

l o g

00 <

0 5

10

15

2 0

2 5

3 0

3 5

4 0

. 4 5

. 50

. 55

. 6 0

. 6 5

. 80

. 85

. 90

. 00

. 10

. 3 0

P

1 .

1 .

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

2 .

2 .

2 .

0 5

1 0

15

2 0

25

30

3 5

4 0

4 5

5 0

55

60

6 5

7 0

85

90

95

05

15

3 5

No. of

stars

1 5

1 3

14

17

11

4

3

3

4

6

7

2

2

1

2

1

1

1

1

1

> -0.

- 0 .

- 0 .

- 0 .

- 0 .

- 0 .

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

(M-m) > 0.

l o g

35 <

3 0

2 5

15

10

05

0 0

0 5

10

15

2 0

2 5

3 0

3 5

4 0

4 5

5 0

55

P

-0. 30

-0.25

-0. 20

-0. 10

-0. 05

0. 00

0. 05

0. 10

0. 15

0. 20

0.25

0. 30

0. 35

0. 40

0.45

0. 50

0. 55

0. 60

3

No. of

stars

1

1

1

2

4

2

5

5

1 0

1 1

11

29

1 3

1 2

6

15

6

1
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD

TABLE 7.—Numbers of Cepheids within given intervals of period

183

Period

(days)

< 2

> 2 < 3

> 3 < 4

> 4 < 5

< 5

> 5 < 10

> 10 <20

> 2 0

This

paper

324

271

196

98

889

146

75

34

Shapley and

Nail (1955)

160

144

102

57

463

106*

62*

3 3*

Ratio

2. 03

1. 88

1. 92

1. 72

1. 92

1. 38

1.21

1. 03

TABLE 8.—Frequency oj <mo!> for 1151 Cepheid variables

Magnitude

limits

12.00-12.19

12.60-12.19

12.80-12.99

13.40-13. 59

13. 60-13.79

13.80-13. 99

14.00-14.19

14.20-14.39

14.40-14. 59

14.60-14.79

No. of

stars

2

2

1

1

1

3

2

10

7

10

Magnitude

limits

14.80-14. 99

15. 00-15. 19

15. 20-15. 39

15.40-15. 59

15. 60-15.79

15.80-15.99

16.00-16. 19

16. 20-16. 37

16.40-16. 59

16. 60-16.79

No. of

stars

20

21

27

28

42

50

83

117

147

147

Magnitude

limits

16.80-16. 99

17.00-17. 19

17.20-17. 39

17.40-17. 59

17.60-17.79

17.80-17. 99

18.00-18. 19

18.20-18. 39

18.40-18.49

No. of

stars

130

152

88

43

16

7

2

1

1

TABLE 9.—Least-squares solutions for the period-luminosity relation

Solution

no.

1

2

3

4

5

6

7

8

P >

P >

P >

P >

P >

P >

P >

A >

Selection

l

d

l

d

, (M-m) < 0. 3

l

d

< 5d (M-m)>0.

l

d

< 8 d

3

d

 < 8d

8

d

I 6 d

3

No. of

stars

1139

986

147

1005

502

133

47

313

Solutions

Zero

17. 52

17.63

17. 12

17.43

17. 58

17.67

18. 81

17. 58

point

±

±

±

±

±

±

±

±

0. 01

0. 01

0. 03

0. 02

0. 04

0. 13

0. 28

0. 03

for<m)n

Slope

-2. 03

-2. 13

- 1 . 94

- 1 . 79

-2. 03

-2.20

-2. 98

-2. 12

±

±

±

±

±

±

±

±

0. 02

0. 02

0. 06

0. 04

0. 06

0. 11

0. 19

0. 04

Solutions

Zero

17. 52

17. 63

17. 15

17.43

17. 54

17. 68

18. 88

17. 56

point

±

±

±

±

±

±

±

±

0. 01

0. 01

0. 03

0. 02

0. 04

0. 13

0. 29

0. 03

for x0

Slope

-1.95

-2. 04

- 1 . 94

- 1 . 72

- 1 . 88

-2. 14

-2. 94

-2. 01

±

±

±

±

±

±

±

±

0. 02

0. 02

0. 06

0. 04

0. 06

0. 10

0. 19

0. 04
184 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 10.—Frequency of residuals from the period-luminosity curve

Limits

<±1. 5

+ 1. 4

+ 1. 3

+ 1. 2

+ 1. 1

+ 1. 0

+0. 9

+0. 8

+0. 7

+ 0. 6

+0. 5

+0. 4

+0.3

+0.2

+0. 1

0. 0

-0. 1

-0.2

-0. 3

-0. 4

-0. 5

-0.6

-0. 7

-0. 8

-0. 9

- 1 . 0

- 1 . 1

>+l.

>±1.

+ 1.

+ 1.

+ 1.

+ 1.

+ 0.

+ 0.

+ 0.

+ 0.

+ 0.

+ 0.

+ 0.

+ 0.

+0.

0.

- 0 .

- 0 .

- 0 .

- 0 .

- 0 .

- 0 .

- 0 .

- 0 .

- 0 .

- 1 .

- 1 .

- 1 .

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

1

2

3

4

5

6

7

8

9

0

1

2

Sol. 2

<m>0

0. 0

0. 1

0. 0

0. 0

0. 0

0. 1

0. 0

0. 3

0. 7

1.6

3 . 4

4. 7

6 . 4

9-9

10.2

11. 7

13. 1

12.2

7.6

6. 7

3 . 6

3. 3

2. 5

0. 7

0.3

0 . 4

0. 1

0. 1

Sol. 2

<x>0

0. 0

0. 0

0. 0

0. 1

0. 0

0. 0

0.2

0. 5

0. 9

1. 7

3 . 2

4. 1

7 . 4

8.3

12. 8

10. 8

12. 7

10.7

8 . 4

7 . 4

4 . 2

2 . 6

2 . 2

0.9

0.5

0 . 2

0.2

0. 0

S o l

< m

0.

0.

0.

0.

0.

0.

0.

0.

1 .

2.

2 .

5.

5.

9.

1 0 .

1 1 .

13.

1 1 .

8.

7.

4 .

3.

2 .

0.

0.

0.

0.

0.

5

>0

2

0

0

2

0

0

0

0

0

4

2

2

8

2

8

3

5

7

0

4

2

6

8

4

2

0

0

0

Sol.

< m

0

0

0

0

0

0

0

0

1

2

3

4

8

4

11

14

11

13

8

5

4

2

2

0

1

0

0

0

8

0

0

0

0

0

0

0

0

3

0

9

2

2

3

8

5

0

8

1

9

1

5

2

2

. 3

. 0

.6

. 0

. 0

Greater

than

+ 1. 5

+ 1. 4

+ 1. 3

+ 1.2

+ 1. 1

+ 1. 0

+ 0. 9

+0. 8

+0. 7

+ 0. 6

+0. 5

+0.4

+0. 3

+0.2

+0. 1

0. 0

-0. 1

-0.2

- 0. 3

-0. 4

- 0 . 5

-0.6

-0. 7

- 0. 8

-0.9

-1. 0

- 1 . 1

-1.2

Sol. 2

<m>0

0. 0

0. 1

0. 1

0. 1

0. 1

0 . 2

0. 2

0. 5

1. 2

2. 8

6 . 2

10. 9

17. 3

27.2

37.4

49. 1

62.2

74. 4

82. 0

88. 7

92. 6

95.9

98.4

99. 1

99.4

99. 8

99. 9

100. 0

Sol.

x

o

n.

0.

0.

0.

0.

0.

0.

0.

1.

3.

6.

10.

18.

26.

39.

50

62

73.

81

89.

93

96

98

99

99

99

100

2

0

0

0

1

1

1

3

8

7

4

6

7

1

4

2

0

7

4

8

2

4

0

2

1

6

8

0

Sol.

< n i

0.

0.

0.

0.

0.

0.

0.

0.

1.

3.

6.

1 1 .

17.

26.

37.

4 8.

6 1 .

73.

8 1 .

88.

93.

96.

99.

99.

100.

5

>0

2

2

2

4

4

4

4

4

4

8

0

2

0

2

0

3

8

5

5

7

1

7

5

9

1

Sol. 8

<m) 0

0. 0

0. 0

0. 0

0. 0

0. 0

0. 0

0. 0

0. 3

1. 3

4. 2

7. 4

11.6

19. 9

24. 7

36.2

50.2

62. 0

75. 1

84. 0

89. 1

93. 6

95. 8

98. 0

98. 3

99.3

99. 9
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 185

TABLE 11.—• Test for constancy of period

HV

11197

2022

2019

2035

11 199

848

2014

844

2002

11192

2021

850

2046

1923

1981

1850

2049

1809

2000

1974

2027

Period

(Harvard)

1.073493

±0.000004

1.308877

4

1.629511

2

1.979418

6

2.095233

7

2.172770

2

2.203742

6

2.217580

3

2.346362

6

2.354104

7

2.489228

8

2. 532543

4

2.557713

7

2.566228

12

2.722555

10

2.755618

8

2.800893

9

2.825761

9

2.884008

7

2.893108

6

2.982519

5

Period

(Arp)

1.0736

±0.0002

1.3090

5

1.6303

4

1.9800

9

2.0952

9

2. 178

1

2.2028

8

2.219

1

2. 345

1

2.3543

7

2.4875

10

2.5350

7

2. 554

1

2. 564

1

2. 724

1

2.760

2

2.800

2

2.825

2

2.880

2

2.896

1

2.984

2

Difference

(H -A)

-0.00011

±0.0002

-0.00012

5

-0.00079

4

-0.00058

9

+0.000033

9

-0.0052

1

-0. 00094

8

-0.0014

1

+ 0. 0014

1

-0.00020

7

+0.0017

10

-0.0025

7

+0.0037

1

+0.0022

1

-0.0014

1

-0.0044

2

+0.00089

2

+0.00076

2

+0.0041

2

-0.0029

1

-0.0015

2

xl

-0.0000029

±0.0000035

-0.0000022

27

+0.0000041

13

-0.0000027

28

+0.00000053

32

+0.0000016

11

+0.0000048

27

-0.0000016

13

-0.0000027

27

-0.0000054

30

-0.0000034

34

-0.0000013

16

-0.00000087

28

-0.0000028

46

+0.000020

4

-0.0000058

30

-0.0000013

33

-0.000011

3

+0.0000018

23

-0.000016

2

+0.0000048

18

X 2

-0.0000057

±0.0000046

-0.0000043

63

+0.0000061

21

-0.0000032

56

+0.0000015

33

+0.0000027

13

+0.0000036

26

-0.0000035

15

-0.0000054

45

+0.000014

6

-0.0000095

63

-0.0000033

19

+0.0000038

50

+0.000029

9

+0.000019

15

-0.0000040

30

-0.0000012

33

-0.000011

3

+0.0000018

23

-0.000016

2

+0.0000098

19

y

+0.0000000011

±0.0000000011

-0.0000000012

11

-0.0000000009

7

+0.0000000002

2

+0.0000000020

12

+0.0000000007

4

+0.0000000026

11

+0.0000000011

5

+0.0000000010

13

-0.0000000074

21

+0.0000000029

25

+0.0000000012

6

+0.0000000029

26

+0.000000013

4

+0.0000000003

42

+0.0000000032

14

-0.0000000016

16

+0.0000000003

23

-0.0000000003

10

-0.0000000019

9

+0.0000000045

10
186 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 11.— Test jor constancy oj period.—Continued

HV

1898

1987

11206

1891

1793

1994

1825

1966

1785

1934

1827

1903

1929

1892

1858

11193

1945

1855

1905

1950

1768

Period

(Harvard)

3.018713

10

3. 130851

10

3.399471

19

3.451489

9

4.181441

18

4.213400

23

4.260377

36

4.269964

24

4.729944

71

4.874815

62

4.921478

97

5.094892

63

5. 584440

63

5.653194

50

6.111834

38

6.427066

166

6.468724

124

6.839898

41

7.416802

88

7.990220

162

9.808249

20

Period

(Arp)

3.021

1

3. 130

1

3.400

2

3.451

2

4. 180

4

4.217

3

4.265

3

4.270

2

4.725

3

4.885

3

4. 924

2

5.091

4

5. 579

7

5.660

5

6. 120

7

6.440

8

6.465

5

6.830

6

7.413

10

7. 980

1

9.798

1

Difference

(H - A)

-0.0029

1

+0.00085

1

-0.00053

2

+0.00049

2

+0.0014

4

-0.0036

3

-0.0046

3

-0.000006

2

+0.0049

3

+0.0098

3

-0.0025

2

+0.0039

4

+0.0054

7

-0.0068

5

-0.0082

7

-0. 0129

8

+0.0037

5

+0.0099

6

+0.0038

10

+0.010

1

+0.010

1

xl

-0.0000074

32

-0.000016

3

+0.000016

6

-0.0000026

27

+0.0000088

44

-0.000019

6

-0.000025

8

-0.0000069

55

-0.0000081

15

+0.000027

13

+0.000080

20

+0.0000099

48

+0.0000062

11

-0.000018

9

-0.000014

6

+0.000027

26

+0.000030

19

+0.0000095

61

-0.000028

12

+0.0000029

20

+0.0000044

20

X2

-0.000012

3

-0.000012

4

+0.000021

5

-0.0000020

28

+0.000013

5

-0.000034

11

-0.000026

13

-0.000018

12

-0.000020

30

+0.000078

29

-0.0000091

64

+0.0000084

41

+0.000035

27

-0.000014

12

-0.000012

10

+0.000025

28

+0.000033

22

+0.000012

9

-0.000029

10

+0.0000050

21

-0.000031

27

y

-0.0000000086

15

-0.0000000037

14

-0.000000081

32

+0.0000000018

18

+0.0000000075

38

+0.000000012

8

+0.0000000017

11

+0.0000000095

88

+0.000000017

36

-0.000000043

22

+0.000000048

33

-0.000000014

3

-0.000000029

25

+0.000000043

99

+0.0000000008

30

+0.000000076

30

+0.0000000048

20

+0.0000000014

35

+0.000000055

13

-0.000000014

27

-0.000000031

16
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 137

TABLE 11.—Test jor constancy of period.—Continued

HV

2060

2063

2017

1744

187 3

1933

1695

843

1787

1954

192 5

1884

817

2222

1543

1522

2209

1430

11129

2205

847

Period

(Harvard)

10.18447

32

11.166230

25

11.407450

19

12.62 3872

20

12.941131

17

13.780938

24

14.596196

22

14.714971

32

16.196955

68

16.700904

58

17.199567

71

18.116598

48

18.892520

83

19.98 5803

65

20.454500

10

22.14355

43

22.650006

64

23.97284

10

24.4757

11

25.432997

86

27.057009

78

Period

(Arp)

10.21

1

11. 18

2

11.43

2

12.59

3

12.91

2

13.76

4

14. 50

5

14.70

2

16.22

4

16.71

2

17.18

7

18.11

4

--

--

--

--

--

--

--

--

27.2

1

Difference

(H - A)

-0.

-0.

-0.

+ 0.

+ 0.

+ 0.

+ 0.

+ 0.

-0.

-0.

+0.

+ 0.

-

-

-

-

-

-

-

-

-0.

026

1

014

2

022

2

034

3

031

2

021

4

096

5

015

2

023

4

0091

2

020

7

0066

4

-

-

-

-

-

-

-

-

143

1

xl

-0.00015

3

-0.000079

23

+0.000020

16

-0.000056

16

-0.000024

13

-0.0000020

18

-0.0000033

15

+0.000025

22

-0.000087

42

-0.000065

35

-0.00014

4

-0.000038

26

+0.00040

4

-0.000058

32

-0.000097

50

+0.000025

20

+0.000041

28

+0.000018

42

+0.00026

4

-0.000027

34

-0.000029

29

+0.

-0.

+0.

-0.

-0.

-0.

-0.

+0.

+0.

+0.

-0.

-0.

+0.

-0.

-0.

+0.

-0.

+0.

+0.

-0.

-0.

X 2

000043

94

000059

53

000042

34

000048

15

000016

12

0000012

18

000083

19

000026

23

00024

17

00010

5

00021

9

000096

24

00022

5

000056

53

00071

14

0000058

32

000042

36

000045

44

00025

5

000027

34

000066

46

-0.

-0.

-0.

-0.

+0.

+0.

-0.

+0.

-0.

-0.

+0.

-0.

+0.

+0.

-0.

-0.

+0.

-0.

+0.

+0.

-0.

y

00000039

18

000000070

12

000000043

58

000000083

31

00000011

3

000000012

45

000000079

14

000000029

58

00000089

45

00000063

17

00000021

29

00000042

3

00000086

17

0000000051

16

0000013

3

000000026

35

00000039

16

00000028

16

00000017

22

00000019

15

000000067

66

797-819 O—C
188 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 11.— Testjor constancy oj period.—Continued

HV

10353

1501

819

863

1967

1451

1369

823

10357

1636

855

840

865

2064

2231

11182

2195

837

1877

824

11157

834

829

821

Period

(Harvard)

27.228396

10

27.406271

11

28.443029

84

28.961606

11

29.040221

61

30.063434

11

31.023

3

31.92 5

1

32.012175

14

32.746

23

32.941331

31

33.039284

19

33.326668

13

33.663223

35

36.67924

23

39.199

21

41.809912

17

42.680324

79

49.667

15

65.798

7

68.9085

95

73. 589

11

87.627059

45

127.78

44

Period

(Arp)

- -

- -

- -

--

29.1

1

- -

- -

- -

- -

- -

- -

33.1

2

- -

33.7

3

--

39.6

2

--

42.6

4

49. 5

3

--

- -

--

Difference

(H - A)

- -

- -

--

--

-0.059

1

- -

- -

- -

- -

- -

- -

-0.061

2

- -

-0.037

3

- -

-0.401

2

- -

+0.080

4

+0.167

3

--

- -

- -

x

l

-0.000075

38

+0.00012

4

+0.000029

30

+0.000054

39

-0.0010

2

+0.00011

4

-0.00028

11

+0.000014

31

+0.00019

4

-0.000027

70

+0.00025

10

+0.00014

6

-0.000068

39

+0.0000006-!

10

+0.000011

64

+0.000047

54

-0.000059

40

-0.0000090

18

-0.00040

29

+0.000057

11

+0.00030

14

-0.00015

15

+0.00029

-0.0032

8

X

2

-0.000056

48

+0.00011

4

+0.000069

42

-0.000032

46

-0.0010

2

+0.00010

4

-0.000028

18

+0.000048

x50

+0.00018

5

-0.00022

13

+0.00032

27

+0.00013

6

+0.0011

1

+0.00013

18

+0.000022

67

+0.00013

8

-0.000064

44

-0.046

10

-0.00066

33

+0.0000001

13

+0.00024

14

-0.00044

13

+0.012

Q

O

-0.00020

21

y

+0.00000017

24

+0.00000036

19

+0.000000088

66

-0.00000075

25

-0.0000022

11

-0.000000033

18

-0.0000022

12

-0.00000014

9

+0.00000026

28

-0.00000035

21

-0.00000039

15

+0.00000054

30

+0.0000013

6

-0.0000014

15

-0.00000037

50

+0.00000023

16

-0.00000010

35

+0.00023

6

+0.000012

7

+0.0000013

19

+0.0000018

14

+0.000010

20

-0.00064

14

-0.000057

36
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 189

TABLE 12.—HV 2019

(P=1.629511; P' = 1.629518±0.000002; P A = 1.6303±0.0004)

Maximum

2181 5.779

23347.528

23596.901

23974.863

24504.568

25881.416

26313.268

26567.522

26598.466

26981. 369

27680.449

28477.315

29808. 570

29839.571

29870.495

29906.327

29927.538

30507.635

30659.244

31589.631

31998.632

32034.503

32800.380

33160.533

35518.366*

35658.479*

Epochs

P

-0. 032

939.973

1093.009

1 324. 957

1650.027

2494.972

2759.992

2916.022

2935.012

3169. 993

3599.005

4088.026

4904.992

4924.017

4942.994

4964.984

4978.000

5333.995

5427.035

5997.995

6248.991

6271.005

6741.009

6962.028

8408.985

8494.970

P'

-0. 032

939.988

1093. 023

1324.970

1650.038

2494.980

2759.998

2916.028

2935.017

3169.997

3599.006

4088.026

4904.988

4924.012

4942.990

4964.979

4977.996

5333.988

5427.028

5997.986

6248.980

6270.996

6740.996

6962.016

8408.964

8494.948

P A

-0.033

939. 518

1092.479

1324. 315

1649.228

2493.764

2758.656

2914. 611

2933. 591

3168.458

2597.262

4086.047

4902.618

4921.633

4940.602

4962.580

4975. 591

5331.413

5424.408

5995. 092

6245.967

6267. 970

6737.746

6958.658

8404. 915

8490.586

•Maximum from Arp (1960a).

TABLE 13.—HV 848

(P=2.172770±0.000002;PA=2.178±0.001)

TABLE 14.—HV 2021

(P=2.489228 ± 0.000008; PA=2.4875±0.0010)

Maximum

13861.607

14604. 612

16755.544

16755.628

21813.786

24025.729

24440.-733

25944.340

26626.464

27341.376

28034.526

28045. 406

28373.456

29468.565

29542.397

29566.245

29870.451

29870.495

30344.270

30648. 337

30659. 244

31291.478

31669.540

32508.261

32860.256

33129.642

34685.312

34685. 415

35452.559*

35476.401*

Epochs

P

0. 039

342.000

1331.958

1331.988

3659.965

4677.995

4868. 997

5561.020

5874.962

6203.995

6523.011

6528.019

6679.001

7183.016

7216.997

7227.973

7367.981

7368.001

7586.053

7725.997

7731.017

8021.997

8195.997

8582.012

8744.015

8867.998

9583.982

9584.030

9937.102

9948.075

P A

0. 039

341. 180

1328.752

1328.791

3651.178

4666.763

4857.307

5547.688

5860.857

6189. 099

6507.350

6512.346

6662.965

7165. 771

7199. 670

7210. 619

7350.291

7350.311

7567.839

7707.448

7712.455

8002.737

8176. 320

8561.407

8723.021

8846.706

9560.972

9561.019

9913. 244

9924. 190

Maximum

23343.558

23704.772

23965.832

24025.729

24331.824

24468. 688

24824.624

26313.268

26328.373

26559.611

26564. 625

26594.456

26945.391

27341.376

27749.451

27779.315

29108.594

29454.660

29484.460

29514.379

29554.242

29780. 631

29927. 486

29927. 538

30507.635

31321.524

31416.257

31642.644

31657.596

31702.459

32790.387

34684.405

34689.458

35458.521*

35518.366*

Epochs

P

-0. 011

145. 100

249.976

274.038

397. 006

451.988

594.979

1193.013

1199. 082

1291.977

1293.991

1305.975

1446.957

1606. 036

1769.973

1781. 970

2315.983

2455.008

2466.980

2478.999

2495.013

2585.960

2644. 957

2644. 978

2878. 021

3204. 985

3243.042

3333.989

3339.996

3358. 019

3795.073

4555.959

4557.989

4866.945

4890.987

P A

-0. 01 1

145. 200

250. 149

274.228

397.282

452.302

595.392

1193. 842

1199. 914

1292.874

1294.890

1306. 882

1447. 962

1607. 152

1771.202

1783. 207

2317. 591

2456.713

2468. 693

2480.721

2496.746

2587.756

2646. 794

2646. 815

2880. 019

3207. 21 1

3245.294

3336.304

3342.315

3360.351

3797.708

4559.123

4561.154

4870. 325

4894.383

•Maximum from Arp (1960a). •Maximum from Arp (1960a).
190

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 15.—HV 1923

(P=2.566228; P'=2.566221 ±0.000012; PA=2.564±0.001)

Maximum

23595.881

23667.803

26308.461

26567. 562

26626.464

27750.478

27786.361

28040.467

28371.501

29585.264

29808.570

29826. 594

29906.234

30578. 503

31589.631

31697.371

31782.262

32136.259

32462.292

32508.261

32880.399

33211.448

35431.397*

3 5449. 371*

35636.516*

Epochs

P

0. 024

28.050

1057. 054

1158.004

1180.973

1618.975

1632.958

1731.977

1860.973

2333.949

2420. 966

2427.990

2459.024

2720.991

3115.005

3156.988

3190.069

3328.013

3455.061

3472.974

3617. 987

3746.989

4612.052

4619. 057

4691.983

P'

0.019

28.045

1057.051

1158.002

1180.970

1618.970

1632.957

1731.976

1860.973

2333.950

2420.967

2427.990

2459.024

2720.993

3115.007

3156.991

3190.071

3328.016

3455.064

3472.977

3617.991

3746.994

4612.059

4619.063

4691.989

P A

0. 018

28.069

1057.968

1159.006

1181.994

1620.377

1634.372

1733.478

1862.586

2335.973

2423.066

2430.096

2461.157

2723.352

3117.709

3159.729

3192.838

3330.902

34 58.060

3475.989

3621.129

3750.243

4616.059

4623. 069

4696.058

•Maximum from Arp (1960a).

TABLE 16.—HV 2046

(P=2.557713±0.000007; PA=2.554 ±0.001)

TABLE 17.—HV 1850

(P=2.755618±0.000008; PA=2.760±0.002)

Maximum

23320.599

23596.901

24077.656

24417.779

26341.281

26594.456

26929.624

27658.416

27694.363

27786.361

28845.285

29791.623

29809. 528

29927.236

30548.613

31290.495

31436.285

31589.631

32060.374

32441.361

32817.346

35426. 569*

35518. 366*

35656.473*

Epochs

P

-0. 001

108. 026

295. 989

428. 968

1181.007

1279.992

1411.034

1695.973

1710. 027

1745.996

2160.007

2530.001

2538. 001

2583.021

2826.974

3116.021

3173. 021

3233. 975

3417. 024

3566.980

3713.980

4733. 118

4769. 009

4823. 005

P A

-0.001

108. 193

296.430

429.602

1182.736

1281.865

1413. 098

1698. 451

1712. 526

1748. 547

2163.161

2533.693

2540. 704

2586. 792

2830. 088

3120.566

3177.649

3237. 691

3422. 007

3571. 180

3718. 394

4740.017

4775.960

4830. 034

Maximum

16760. 780

23732.610

24418. 737

26303. 401

26328.373

26331.335

26573.519

26598. 466

26689.282

27783. 280

29566. 245

29808. 570

29902. 361

29938.243

31321.524

31379. 370

31704. 450

32462.292

32509.259

32845. 241

32878.305

32878. 349

32878.396

34300. 306

35449. 371*

35603.649*

Epochs

P

-0. 013

2530.030

2779.022

3462.957

3472.019

3473.094

3560.981

3570.034

3602.991

3999.997

4647.026

4734.965

4769. 001

4782.023

5284.008

5305.000

5422.970

5697.987

5715.032

5836.961

5848. 956

5848.972

5848.990

6364.994

6781.983

6837.970

P A

-0. 013

2526.014

2774. 610

3457.460

3466.508

3467.581

3555.329

3564.368

3597.272

3993.648

4639.650

4727. 449

4761.432

4774.432

5275. 621

5296. 580

5414.363

5688. 943

5705.960

5827.696

5839.673

5839.689

5839.706

6354.891

6771.219

6827. 1 17

•Maximum from Arp (1960a). •Maximum from Arp (1960a).
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 191

TABLE 18.—HV 2000

(P=2.884088±0.000002; PA=2.880±0.002)

Maximum

13860. 564

23340.586

23340.676

23605. 845

23654.886

24433.677

25881. 416

26331.335

26334. 320

26547.584

27727. 294

27756.256

28373. 456

29867.456

31107. 309

31274.639

31626.627

31675.572

31701.458

31704.450

31782.262

31998. 632

32056. 390

32800. 380

32849.404

32852.298

32852. 392

32878.257

32878. 396

35603. 649*

35658.479*

- 0

3286

3287

3378

3395

3666

4167

4323

4325

4398

4808

4818

5032

5550

5979

6037

6160

6176

6185

6187

6213

6289

6309

6566

6583

6584

6585

6593

6594

7538

7557

P

010

998

030

972

976

006

980

981

016

961

002

034

045

060

954

973

017

988

964

001

981

003

. 029

. 993

. 991

.994

. 027

. 995

. 043

. 970

. 981

Epochs

P A

-0. 009

3291.663

3291.694

3383.766

3400.795

3671.208

4173.895

4330. 117

4331.153

4405. 203

4814.824

4824.881

5039. 181

5557.936

5988.440

6046. 541

6168. 759

6185.753

6194.742

6195.781

6222.699

6299.927

6317.982

6576.312

6593.334

6594.339

6594.371

6603.352

6603.400

7549.668

7568. 706

•Maximum from Arp (1960a).
192 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 19.—HV 1974

(P=2.893108; P' = 2.893058±0.000006; PA=2.896±0.001)

Maximum

16787.589

24763.720

25909.380

27697.456

27746.529

28371.501

28776.476

29566.245

30619.350

30648.240

30648.337

31108.274

31669.540

32135.248

33211.448

34299.274

34299.297

35427.577*

35517.365*

Epochs

P

0. 067

2757.005

3153. 001

3771.048

3788.010

4004.031

4144.010

4416. 993

4780.998

4790.984

4791.017

4949. 994

5143.995

5304.966

5676. 954

6052.960

6052.968

6442.957

6473. 992

P '

-0.012

2756.978

3152.981

3771.038

3788.000

4004.025

4144.007

4416. 994

4781.005

4790.991

4971.025

4950.004

5144.009

5304.983

5676.977

6052.990

6052.998

6442.993

6474.029

P A

-0.014

2754.178

3149.779

3767.209

3784.153

3999.950

4139.798

4412.509

4776.150

4786.126

4786. 159

4944.977

5138.785

5299.596

5671.212

6046.843

6046.850

6436.450

6467.454

•Maximum from Arp (1960a).

TABLE 20.—HV 1994

(P=4.213400; P'=4.213321 ±0.000023; PA=4.217±0.003)

Maximum

23287.716

23338.634

23751.559

23974.863

24391.838

24745.830

24821.586

26309.385

26561.629

26949. 367

28040.467

28078.342

28373.456

29780.630

29839.571

29877.448

29928.242

29928.283

30547.583

30619.350

31436.285

31655. 524

32013.653

32797.374

32818.369

32852.254

32852.298

32852.341

32852.392

33172.348

34689.458

35426.569*

35603.649*

35658.479*

Epochs

P

-0.036

12.049

110.052

163.050

262.014

346.030

364.010

717. 121

776.988

869.013

1127.972

1136. 962

1207.003

1540. 979

1554.968

1564.958

1576.013

1576. 023

1723.006

1740.039

1934.929

1985. 963

2070.960

2256.967

2261.950

2269.992

2270.003

2270.013

2270.025

2345. 963

2706.031

2880.975

2923.003

2936.016

P '

-0.060

12.025

110.025

163.030

261.995

346.012

363.992

717.109

776.977

869.004

1127.968

1136.957

1207.000

1540.981

1554.970

1564.960

1576.016

1576.026

1723.011

1740.042

1934.938

1985.972

2070.971

2256.981

2261.964

2270.007

2270.017

2270.027

2270.039

2345.978

2706.052

2881.000

2923.028

2936.042

P A

-0.059

12.015

109.934

162.887

261.766

345.710

363.675

716.484

776.300

868.240

1126.984

1135.966

1205.947

1539.638

1553. 613

1562.597

1574.642

1574.651

1721.509

1738.528

1932.251

1984.241

2069. 166

2255.013

2259. 992

2268.027

2268.038

2268.048

2268.060

2343.933

2703.693

2878.487

2920.479

2933.481

•Maximum from Arp (1960a).
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD

TABLE 21.—HV 1825

(P=4.260377; P'=4.260272±0.00004; PA=4.265±0.003)

193

Maximum

21815.779

23315.640

24363.898

24461.641

24815. 593

25944.340

26319.275

26566.612

27341.376

27746.441

27750.391

27750.478

27980.658

28078.342

28372.470

28845.285

29484.460

29514.379

29902.361

29906.327

29927.402

29927.486

29927.538

31397.251

31610.648

31734.237

31976.647

32509.259

32790.387

32833.309

35636.516*

35657.494*

Epochs

P

-0.022

352.026

598.074

621.013

704.097

969. 037

1057.042

1115.098

1296.951

1392.028

1392.956

1392.976

1447. 008

1469. 932

1538.970

1649. 950

1799.978

1807.001

1898.068

1898.999

1903. 946

1903.965

1903. 978

2248.942

2299.039

2328.048

2384.947

2509. 962

2575. 948

2586.023

3243.995

3248.919

P '

-0.053

351.995

598.050

620.993

704.075

969.022

1057.029

1115.086

1296.944

1392.024

1392.951

1392.971

1447.001

1469.930

1538.970

1649.952

1799.986

1807.007

1898.076

1899.007

1903.954

1903.974

1903.986

2248.978

2299.058

2328.067

2384.967

2509.986

2575.974

2586.049

3244.037

3248.942

P A

-0.063

351.605

597.387

620.305

703.295

967.949

1055.858

1113.851

1295.507

1390.482

1391.408

1391.428

1445.398

1468.302

1537.265

1648. 124

1797.990

1805.005

1895. 974

1«96.904

1901.845

1901.865

1901.877

2246.476

2296.511

2325.488

2382.325

2507.205

2573.121

2583.184

3240.444

3245. 363

•Maximum from Arp (1960a).

TABLE 22.—HV 1785

(P=4.729944; P'=4.729906±0.00007; PA=4.725±0.003)

Maximum

23341.689

24065.748

24462.659

24798.666

26501.621

27783.280

29542.397

29826.594

29869.462

29878.453

29897.228

29911.283

31416.257

31680.531

31699.454

31704.450

35426.569*

35634.618*

P

-0.021

153.059

236.974

308.012

668.049

939.016

1310.927

1371.012

1380.075

1381.976

1385. 945

1388.917

1707. 097

1762.969

1766.970

1768.026

2554. 953

2598.938

Epochs

P'

-0.031

153.051

236.966

308.005

668.045

939.015

1310.929

1371.014

1380.078

1381.978

1385.948

1388.919

1707.102

1762.976

1766.976

1768.033

2554.967

2598.953

P A

-0.031

153.209

237.211

308.324

668.737

939.987

1312.287

1372.434

1381.507

1383.410

1387.383

1390.358

1708.870

1764.802

1768.806

1769.864

2557.619

2601.645

•Maximum from Arp (1960a).
194 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 23.—HV 1934

(P=4.874815; P'=4.874945±0.000062; PA=4.885± 0.003)

Maximum

23340.586

26309.385

26329.300

26504.653

26563. 608

26626.464

28040.467

28371. 501

28376.572

29839.571

29843.597

29868.460

29897.452

30507.635

30560.614

30648. 240

30648. 337

31345. 385

31701.458

32003. 648

32037. 601

32052. 381

32135.248

32793. 394

32822.403

33563. 346

35518.366*

35635. 594*

Epochs

P

-0.083

608.925

613. 010

648. 981

661.075

673. 969

964.032

1031.933

1032.979

1333.093

1333. 919

1339.019

1344.967

1470. 137

1481.005

1498.980

1499.000

1641.990

1715. 033

1777.023

1783.988

1787.020

1804.019

1939.029

1944.979

2096.973

2498.019

2522.066

P'

-0. 051

608.941

613.027

648. 997

661.090

673.984

964. 040

1031.945

1032.986

1333.092

1333.918

1339.018

1344.965

1470.133

1481. 000

1498. 975

1498. 995

1641. 981

1715. 041

1777.011

1783.976

1787.008

1804.007

1939. 013

1944.963

2096. 954

2497.989

2522.036

P A

-0. 062

607.675

611.751

647.648

659. 716

672.583

962.041

1029.806

1030.844

1330.332

1331.156

1336.246

1342.181

1467.090

1477.935

1495. 873

1495.893

1638.584

1711.745

1773.336

1780.268

1783. 312

1800.275

1935.003

1940. 941

2092.618

2492.827

2516.824

•Maximum from Arp (1960a).

TABLE 24—HV 1892

(P=5.653194; P'=5.653095±0.00005; PA=5.660±0.005)

Maximum

13860.564

16727.653

16755.544

16760. 531

16760.697

23595.881

25890.396

26303.401

26331.335

26512.623

26568.576

26981.369

27327.470

27722.387

27750.391

28372.470

29135.403

29519.364

29813. 648

29870.451

29926.283

29927.236

29938.412

30560.614

31436.285

31639.636

3170i.458

32793.394

32804.452

33104.622

33211.448

35636.516*

Epochs

P

-0.010

507. 152

512.086

512.968

512.998

1722.080

2127.959

2201.016

2205.943

2238.025

2247.912

2320.942

2382.165

2452.022

2456.925

2567.016

2701.928

2769.909

2821.947

2831.995

2841.871

2842.040

2844.017

2954.079

3108.977

3144.948

3155.884

3349.037

3350.993

3404.091

3422.997

3851.960

P'

-0.017

507.153

512.087

512. 969

512.999

1722.102

2127.988

2201.046

2205.987

2238.056

2247.954

2320.974

2382.197

2452.056

2457.010

2567.052

2702.010

2769.930

2821.987

2832.036

2841.912

2842.080

2844.057

2954.121

3109.022

3144.994

3155.930

3349.087

3351.043

3404.141

3423.038

3852.018

P A

-0.017

506.534

511.462

512.343

512. 372

1719.999

2125.389

2198.358

2203.294

2235.323

2245.209

2318.140

2379.289

2449. 062

2454. 010

2563.917

2698.711

2766.548

2818.542

2828.577

2838.442

2838.610

2840.585

2950.514

3105.226

3141.154

3152.076

3344.997

3346.951

3399.984

3418.858

3847.314

•Maximum from Arp (1960a).
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 195

TABLE 25.—HV 1858

(P=6.111834±0.00004;PA=6.120±0.007)

Maximum

16759. 606

23341. 590

23341. 689

23732.610

24025.729

26177. 587

26189. 516

26330.284

26501.621

26568. 516

26605. 579

27650.633

27651.625

27980.658

28078.342

28371.501

29494.460

29526.370

29575.253

29813.648

29826.594

30700.279

30700.335

31610. 648

31702.459

31739.356

31757.240

31800.288

32142.259

32503. 365

32509.259

32509. 348

32845.299

33071. 620

34685.368

35504. 316*

35656.473*

35657.494*

Epochs

P

0. 072

1076.997

1077.013

1140.974

1188.934

1541.014

1542.966

1565.998

1594.032

1604.977

1611. 041

1782.030

1782. 192

1836.027

1852.010

1899.976

2082. 076

2088.932

2096.930

2135.936

2138. 054

2281. 004

2281.013

2429.955

2444.977

2451.014

2453. 940

2460.984

2516.936

2576.019

2576. 983

2576. 998

2631.965

2668. 995

2933.032

3067.026

3091. 921

3092. 088

P A

0.073

1075.562

1075.579

1139.455

1187. 350

1538.962

1540.911

1563.912

1591.908

1602. 839

1608. 895

1779.656

1779. 818

1833. 582

1849. 543

1897.445

2079. 301

2086. 149

2094.137

2133.090

2135.206

2277. 965

2277.974

2426. 718

2441. 720

2447. 749

2450. 671

2457. 705

2513.583

2572. 587

2573.550

2573.565

2628.459

2665.440

2929. 124

3062. 940

3087. 802

3087. 969

'"Maximum from Arp (1960a).

TABLE 26.—HV 1855

(P=6.839898 ± 0.00004; PA=6.830 ± 0.006)

Maximum

16710.843

16758.559

21813.786

23338.634

23974.863

24077. 656

24439. 744

26177.587

26334. 320

26512.623

26929. 624

27750.478

28065.301

28373.456

28783.395

28804.379

28845. 285

29809.528

29871.460

29877. 448

29926.333

30575. 539

31293. 606

31642.644

31669.540

31710.455

31799.349

32011.598

32060.374

32135.248

32490.255

32504. 261

32819. 398

32860. 391

32880. 399

35452. 599*

35636. 516*

35657.494*

Epochs

P

-0. 025

6. 951

746. 030

968. 965

1061.982

1077. 010

1129.948

1384.022

1406.937

1433.005

1493. 971

1613.981

1660. 008

1705.061

1764.994

1768. 062

1774. 043

1915.016

1924.070

1 924. 946

1932.093

2027. 007

2131.989

2183.019

2186.951

2192.933

2205.930

2236.961

2244.092

2255.038

2306.941

2308.989

2355.062

2361.055

2363.980

2740.033

2766.927

2769.994

P A

-0. 019

6.967

747. 118

970.361

1063.528

1078.578

1131.592

1386. 035

1408. 983

1435. 089

1496. 143

1616.327

1662.421

1707.539

1767. 559

1770.632

1776.621

1917. 798

1926. 867

1927. 743

1934. 900

2029.952

2135.087

2186. 190

2190. 128

2196.119

2209.134

2240.210

2247. 352

2258.314

2310.292

2312.342

2358.483

2364.484

2367.414

2744.012

2770. 945

2774. 017

•Maximum from Arp (1960a).
196 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 27.—HV 11193

(P=6.427066; P' = 6.427241 ±0.00017; PA=6.440±0.008)

Maximum

16754.598

23341.689

23605.845

24363.898

24402.678

25893.497

25944.340

26561.629

26632.395

26973.379

27309.490

27750.391

27783.280

28034.526

28804.379

29585.264

29808.570

29813.648

29903.426

29938.243

30527.583

31324.386

31639.636

32462.292

32507.306

32790. 387

32828.390

32879.383

32880.399

33104.622

33150. 580

35431.397*

35451.479*

35476.401*

35509.365*

Epochs

P

0. 007

1024.906

1066.007

1183. 954

1189.987

1421.947

1429. 858

1525. 903

1536.914

1589.968

1642.264

1710.865

171 5. 982

1755. 074

1874.857

1996. 3 56

2031.101

2031.891

2045.860

2051.277

2146.086

2266. 950

2316. 000

2443. 999

2451.003

2495. 048

2500. 961

2508.895

2509.053

2543.940

2551.091

2905.968

2909. 093

2912.970

2918.099

P'

0. 055

1024. 928

1066.027

1 183.971

1190.005

1421.958

1429.869

1525.912

1536.922

1589.975

1642.270

1710.869

171 5. 986

1755. 077

1784.857

1996. 353

2031.097

2031.887

2045.855

2051.272

2146.078

2266.940

2315.989

2443.984

2450.998

2495. 032

2500.945

2508.878

2509.037

2543. 923

2551.073

2905.941

2909.066

2912.943

2918. 072

P A

0. 051

1022.850

1063.869

1181.579

1187.601

1419.095

1426.990

1522.843

1533. 831

1586.779

1638.971

1707.434

1712.541

1751.554

1871.097

1992. 353

2027.028

2027.816

2041.757

2047.163

2141.782

2262.404

2311.356

2439.098

2446.087

2490.044

2495.945

2503.864

2 504.021

2538.839

2545.975

2900.140

2903.259

2907. 129

2912.247

•Maximum from Arp (1960a).

TABLE 28.—HV 2060

(P=1O.18447; P' = 10.182911 ±0.00032; PA=10.2l ±0.01)

Maximum

24025.729

24402.678

24462.659

24686.855

24800.660

25890.396

27681.382

29108.594

29585.264

31642.644

31998.632

32060.374

32142.259

32507.306

32508.406

32854.288

32854.332

32854.383

35452.559*

25635.594*

Epochs

P

0. 063

37.076

42.965

64.979

76.153

183. 153

359.008

499. 145

54 5. 949

747. 961

782.915

788.977

797.017

832.861

832.969

866.931

866.935

866.940

1122.052

1140.024

P'

0. 002

37.020

42.910

64.937

76.103

183.119

359.001

499. 159

545. 970

748.013

782.973

789.036

797.077

832.926

833.035

867.001

867.006

867.011

1122.162

1140.137

P A

0.002

36.921

42.796

64.755

75.901

182.633

358.048

497.833

544.520

746.02 5

780.892

786.939

794.959

830.713

830.821

864.697

864.702

864.707

1119. 180

1137.107

•Maximum from Arp (1960a).
WHOLE VOLUME 197

TABLE 29—HV 1878

(P= 12.941131; P' = 12.94O817±O.OOO167; PA=l2.91 ±0.02)

Maximum

16755.544

16755. 628

23315.640

23341. 689

24363.898

24402.678

26978.452

28065.301

29074.651

29100. 560

29204.247

29514. 379

29877.448

29903. 335

31274.639

31610.648

31701.458

31702.459

32504.261

32504.417

32879.326

32880.355

33150.580

35506.349*

35635.594*

Epochs

P

0. 054

0. 061

506.972

508.985

587.974

590.971

790. 009

873. 993

951.989

953.991

962.003

985.968

1014. 023

1016. 023

1121.988

1147.953

1154.970

1155. 047

1217.005

1217.017

1245. 987

1246.067

1266. 948

1448. 985

1458.972

P'

0. 031

0. 037

506. 962

508.975

587.966

590.963

790.006

873.992

951.990

953.992

962.004

985.970

1014.026

1016.026

1121.994

1147.959

1154.976

1155.054

1217.013

1217.025

1245.996

1246.075

1266.957

1448.999

1458.987

P A

0. 029

0. 035

508.167

510.185

589. 364

592. 368

791.885

876.071

954.2 54

956.261

964.293

988.315

1016.438

1018.443

1124.663

1150.690

1157.724

1157.802

1219.909

1219. 921

1248.961

1249.040

1269.972

14 52.447

1462.458

""Maximum from Arp (1960a).

TABLE 30.—HV 847

(P=27.057009±0.0008; PA=27.2±0.1)

Maximum

14604. 612

17447. 825

23288. 713

23315.640

23343. 558

23667.803

23751.559

23965.832

26264.443

26319.275

26322.285

26347.271

26561.629

27756. 256

27783. 280

28078.342

28376.572

28380. 640

28783. 395

29484.460

29809. 528

29839.571

30648. 240

30648. 337

30919.605

31108. 274

31324.386

31379. 370

31436. 285

31650.654

31757. 240

32000. 655

32056. 390

32136.259

32462.292

35519. 378*

35627.559*

Epochs

P

0. 004

105.086

320. 960

321.955

322. 987

334.970

338.066

345.985

430.940

432.966

433.077

434. 001

441.923

486. 076

487.274

497. 979

509.002

509.152

524.038

549.948

561.962

563.073

592.960

592.964

602.990

609.963

617.950

619.982

622. 086

630. 009

633. 948

642. 944

645.004

647.956

660.006

772. 993

776. 991

P A

0.004

104.534

319.275

320.265

321.291

333.212

336.291

344. 169

428. 677

430.693

430.804

431.722

439.603

483.524

484.517

495.365

506.330

506.479

521.287

547. 061

559.012

560.117

589.848

589. 851

599. 824

606.761

614.706

616.691

618. 820

626.701

630. 620

639.569

641.618

644. 555

656.541

768.935

772.912

TABLE 31—HV 11182

(P=39.199±0.002; PA=39.6±0.2)

Maximum

23287.716

23288. 713

24304.858

24380.743

24462.659

26308.461

26344.280

26347.271

26502.647

26504.653

26656.265

26929.624

27756.256

28776.476

29204.247

29519.364

29870.451

29876.448

29911.283

30344. 395

30575. 539

30700.335

31284.609

31324.386

31675.572

31712.374

32849.266

32850.336

32851.408

32852.254

32854.245

33211.448

33563.346

34267.407

34690.370

35476.401*

35517.365*

35519.378*

35635.594*

Epochs

P

-0.001

0.096

25. 949

27. 885

29.975

77. 063

77. 977

78. 053

82. 017

82. 068

85. 936

92. 910

113.998

140. 025

150.938

158.976

167.933

168. 086

168. 975

180.024

185.921

189. 104

204.010

205.024

213.984

214.922

243. 926

243.953

243.980

244. 002

244. 053

253.165

262.143

280. 104

290. 894

310. 946

311.911

312. 043

315. 008

P A

0. 001

0. 026

25.687

27.603

29.672

76.284

77. 188

77. 264

81.187

81.238

85. 067

91. 970

112.845

138.608

149.411

157.368

166.234

166.386

167.266

178.203

184.080

187. 192

201. 946

202. 951

211.819

212. 749

241.459

241.486

241.513

241.534

241.584

250.605

259. 491

277.271

287.952

307.802

308. 836

308.887

311. 822

•Maximum from Arp (1960a). •Maximum from Arp (1960a).
198 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 32.—Test of Arp's estimated errors of period

HV

2019

848

2021

2046

1923

1850

2000

1974

1994

1825

1785

1934

1892

1858

11193

1855

2060

1873

847

11182

Period

(Arp)

l?6303

2. 178

2.4875

2. 554

2. 564

2. 760

2. 880

2. 896

4.217

4.265

4. 725

4. 885

5.660

6. 120

6.440

6. 830

10.21

12. 91

27.2

39.6

Est. error

(Arp)

0?0004

0. 001

0. 0010

0. 001

0. 001

0. 002

0. 002

0. 001

0. 003

0. 003

0. 003

0. 003

0.005

0. 007

0. 008

0. 006

0. 01

0. 02

0. 1

0 . 2

No. of epochs

(N)

8495

9948

4891

4823

4692

6838

7558

6474

2936

3249

2599

2522

3852

3092

2918

2770

1140

1459

777

315

Difference

(H-A)

P

+ 4.092

+23.885

- 3.396

- 7. 029

- 4.075

+10.853

-10. 725

+ 6.475

+ 2.561

+ 3.579

- 2.692

+ 5.242

+ 4. 704

+ 4. 119

+ 5.825

- 4. 023

+ 3.030

- 4.486

+ 4.079

+ 3. 186

N X est. error

period

P

±2. 08

4. 57

1. 97

1. 89

1. 83

4. 96

5.25

2.23

2. 09

2.28

1.65

1. 55

3.40

3. 52

3.62

2.43

1. 12

2.26

2. 86

1.61
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD

TABLE 33.—HV 1553

(Adopted period = 12.543274)

199

TABLE 34.—HV 837

(Adopted period=42.625746)

Normal maximum

14001. 367

16797.764

21789.235

23494.179

24497. 453

25487.933

26491.395

27495. 233

28498. 569

29489.425

30744. 192

31496. 600

32500. 125

33490.918

34494. 380

Epoch

0

223

621

757

837

916

996

1076

1 156

1235

1335

1395

1475

1554

1634

Residuals

P= 12. 543274

P

+ 0. 185

+ 0. 120

+ 0. 065

-0. 010

-0. 025

-0. 015

-0. 035

-0. 030

-0. 040

-0. 045

-0. 010

-0. 025

-0. 020

-0.030

-0. 030

12.540915

P

+ 0. 007

-0. 019

+0.004

-0. 046

-0.046

-0. 066

-0. 051

-0. 006

-0. 001

+ 0. 009

+ 0. 063

+ 0. 059

+0. 079

+0. 084

+0.099

12.543274

P

+ 0.211

+ 0. 151

+ 0. 091

+ 0. 016

+ 0. 001

+0. 011

-0. 009

-0. 004

-0. 014

-0. 019

+ 0. 016

+ 0. 001

+0. 006

-0. 004

-0.004

Normal maximum

12233.163

16710.571

19995.737

23528. 559:

24509. 165

25491.262

26470.588

27494. 587

28476.982

29500.426

30736.999:

31506.394

32487.639

33509. 804

Epoch

0

106

183

265

288

312

335

359

382

406

435

452

476

500

Residuals

P = 42. 625746

P

+ 0. 027

+ 0. 036

+0.083

-0. 062:

-0. 064

-0. 030

-0. 062

-0. 046

-0. 006

-0. 004

-0. 002:

+ 0. 042

+ 0. 056

+ 0. 028

42.651198

P

+0. 124

+0. 101

+ 0. 125

-0. 44:

-0.053

-0. 027

-0. 066

-0.057

-0. 024

-0. 028

-0. 034:

-0. 004

+ 0. 010

-0. 024

42.660296

P

+0. 192

+ 0. 146

+0.154

-0. 033:

-0. 047

-0. 025

-0. 069

-0. 065

-0.037

-0. 047

-0. 060:

-0. 025

-0. 023

-0. 063
200 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 35.—HV 817

(Adopted period=18.898233)

Normal maximum

14198.242

16692.242

19487. 302

21793.442

23492.677

24493.433

25494. 756

26496.268

27498.346

28500. 898

29483.511

30749.787

31487. 102

32488. 803

33490. 504

34397.619

Epoch

0

132

299

402

492

545

598

651

704

757

809

876

915

958

1021

1069

Residuals

P = 18. 898233

P

+ 0. 156

+ 0. 126

+0.076

+ 0. 056

-0. 029

- 0. 074

- 0 . 089

- 0 . 094

- 0. 069

- 0 . 019

- 0. 024

- 0 . 019

-0.004

+0. 001

+ 0. 006

+0.006

18. 893591

P

+ 0. 002

+ 0. 004

- 0. 005

0. 000

- 0. 063

- 0. 095

- 0 . 097

- 0. 089

- 0 . 051

+ 0. 013

+ 0. 020

+0. 042

+ 0. 066

+0. 084

+0. 102

+ 0. 114

18. 888752

P

-0. 089

-0. 044

0. 000

+0.039

+0.005

-0. 010

+0.005

+0. 030

+0.085

+0.165

+0. 189

+0. 232

+0.270

+0. 305

+0. 345

+0. 367

18. 91 1457

P

+0.709

+ 0. 586

+ 0. 420

+0. 328

+ 0. 180

+0.098

+0. 046

+0. 004

-0. 008

+0.004

-0. 037

-0.079

-0.091

- 0. 123

-0. 155

- 0. 189

18.900376

P

+ 0.269

+ 0.224

+ 0. 155

+ 0. 123

+0.028

-0.023

- 0. 044

- 0. 055

-0.036

+0.008

-0.003

-0.006

+0. 005

+0.004

+0. 003

-0.002
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 201

TABLE 36—HV 1967

(Adopted period-29.052876; PA=29.1 ±0.1)

Norma l maximum

11647.298

12700. 174

13861.418:

14965. 572

15332.365:

16755.956:

17449. 157::

19673.446:

20020. 337:

21795.468:

23597.327

24440.441

25895.700

26506.246

27639. 454

28482. 568

29498. 838

30690. 441

31417. 199

32492.155

33566.676

34697. 559:

34987. 216*

38317. 838:

Epochs

P

0.000

36.240

76.210:

114.215

126.840:

175. 840:

199. 700::

276.260:

288. 200:

349. 300:

411.320

440.340

490.430

511.445

550.450

579.470

614.450

655.465

680.480

717.480

754. 465

793. 390

803.360

918. 000:

P

A

0. 000

36. 181

76.086:

114.029

126.633:

175.554:

199. 375::

275. 810:

287.731:

348.731:

410.651

439.623

489.632

510.613

549.554

578.527

613.450

654.398

679. 373

716.312

753.237

792. 099:

802.053

916.506:

TABLE 37.—HV 1695

(Maximum—14199.909+14.6013 E—

0.00000328 E2)

Normal maximum

14199. 909

16711.258

21805. 768

23513.961

24492.417

25806.002

26608.792

27601.334

28492. 139

29512.706

30753. 528

31512.092

32504.926

33511.333

34504.021

35627.559*

Epoch

0

172

521

638

705

795

850

918

979

1049

1134

1186

1254

1323

1391

1468

Residual (P)

0. 000

+ 0. 002

-0. 036

-0. 017

+ 0. 015

+ 0. 009

+ 0. 010

+ 0. 013

+ 0. 048

-0. 025

-0. 009

-0. 024

+0. 010

-0. 024

+0. 003

+0. 001

•Maximum from Arp (1960a).

•Maximum from Arp (1960a).

TABLE 38.—HV 884

(Maximum=11531.386+73.4175 E +

0.00037 E2)

Normal maximum

11531.386

12712.488

14182.795:

15286.997:

16818. 015:

17332.033:

17628. 965:

19611.450

20055.928

21008.904

21820. 590

23511.664

24465. 376

25786.666

26519.611

27478. 107

28509.456

29467.216

30715. 652

31526.970

32484. 362

33517. 183

34472.735

37939.142

Epoch

0

16

36

51

72

79

83

110

116

129

140

163

176

194

2 04

217

231

244

261

272

285

299

312

359

Residual (P)

0. 000

+0.086

+0. 108

+0. 141

-0. 018

-0.022

+0. 187

-0.005

+0.044

+0.007

+ 0. 047

+0.044

+ 0. 014

-0.023

-0. 060

-0.032

-0.016

-0.002

-0.041

-0. 019

-0.016

+0.011

-0. 014

+0. 042

TABLE 39.—HV 829

(Maximum-11508.062+89.92 E - 0.006 E2)

Normal maximum

11508.062

12495. 619::

14036. 102:

15538. 030::

16522. 082::

17516. 649::

19558. 360::

20532.772

21501.927

23538.381

24506. 660

25576. 586::

26534.350

27501.752

28552.401

29511.041

30565.194

31522.958

32565.720

33526. 989

34573.256:

37581.493::

Epoch

0

11

28

45

56

67

89

100

111

134

144

156

167

178

190

200

212

223

234

245

257

290

Residual (P)

0. 000

+0. 013::

+ 0. 167:

-0. 048::

-0. 030::

+0. 121::

+0. 066::

+0. 044

-0. 013

+0. 005

-0. 020

+0. 122::

+0. 013

+0. 028

+0.011

-0.039

+0. 019

+ 0. 005

-0.038

+ 0. 010

+ 0.053:

-0. 191::
202 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 40.—Possible cloud members with 'periods under a day

HV

11368

1821

2020

11415

P

0.484509

0.502753

0.616453

0.774007

<

m

>0

17.63

17.34

17.22

17.82

HV

11289

2044

12170

11390

P

0.788189

0.802974

0.811079

0.827969

<

m

>0

17.27

17. 36

17.62

17. 37

HV

11447

12912

11512

0.

0.

0.

p

863009

885430

988300

( m

16.

17.

16.

>0

84

46

81

TABLE 41.—Comparison with Cordoba results

Period

Star

CV 277

HV11174

CV 240

HV12089

CV 270

CV 216

CV 152

CV 233

CV 101

CV 206

CV 106

CV 254

CV 274

CV 3

CV 214

Cordoba

0.200

0. 496686

0.51

0. 56:

0.64732

0.67:

0. 75:

0. 74689

0. 76:

0.778

0.91285

1.56658

1.5716

1.58115

2.3690

Harvard

-

1.997551

0. 571

1.270844

0.650

0. 712

0. 721

0. 747

_

-

—

—

-

—

—

Mean magnitude

Cordoba

17. 86

17. 38

17. 50

17.6:

18. 07

17. 77

16. 55

17. 73

18. 12

17.60

17. 58

17. 74

17. 55

17. 75

16. 90

Harvard

17. 80

17.45

17. 90

17. 71

18.27

17. 90

16. 93

17. 82

17. 94

(16.96)

17. 79

17. 90

17. 78

17. 90

17.26

<

m

>0

17.44

17. 09

17. 46

17. 36

17. 84

17. 46

(16.37)

17.26

17.47

(16.53)

17.23

17. 54

17.22

17. 34

16. 70

Remarks

Period not verified

Cordoba regards as

eclipsing

Cordoba period not

verified

Foreground

Close companion;

not studied

Close companion;

not studied

Cordoba period not

verified

Cordoba period

verified

Cordoba period

verified

Cordoba period

verified

Cordoba period

verified

•Magnitude reduced to our system.

TABLE 42.—W Virginis stars

HV

12901

1828

206

Period

15.074089

17.195722

103.8

1

1

2

log P

. 1782

.2354

. 0162

17.

17.

14.

l

>0

36

28

62

2

2

2

dm

. 0 6

. 1 5

.01
WHOLE VOLUME VARIABLE STARS IN SMALL MAGELLANIC CLOUD 203

TABLE 43.—Long-period variables

HV

12149*

838**

1349

2112*

859*

11295*

1865*

11303*

1719*

12956

11452

1375*

12179

11223

11329*

11366

11401**

1963**

1645**

1366

11427*

(833)

1644**

12122**

X

13968

13095

9275

16991

17098

11829

14694

12090

13514

17050

15159

9885

15702

7014

12591

13473

14193

15477

12996

9687

14679

12233

12995

12966

y

11370

8168

9334

10164

10222

9324

9784

13890

8786

14774

6864

5706

12042

7215

9327

11658

9318

10365

7973

9062

9564

20164

7356

12156

Period

741. 8

663

615:

608

582. 0

565.02

556

533.87

531

517. 5

515. 7

512

480±

407:

390

365.6

365±

330±

300. 3

293. 2

250. 8

239- 92

210±

119. 5

M o

13. 54

13. 92

15. 16

13. 00

13. 73

14. 54

15. 18

15.20

14. 43

15. 38

14. 97

15. 71

15. 96

16.45

15. 32

16.30

14.67

15. 70

17. 02

15. 92

16. 72

11. 20

14. 82

14. 52

m

o

[16.89

[17.47

17. 13

[ 17. 80

[ 18. 50

17. 18

18.48

[ 18. 00

[ 17.25

17. 75

[ 17. 32

[ 18. 01

17. 60

17. 55

17. 36

17. 70

16. 08

18. 36

18. 18

[ 17.28

[ 17. 78

[ 17. 70

16.62

[ 17.27

A

]3.35

]3.55

1. 97

]4. 80

]3.77

2. 64

3. 30

]2. 80

]2. 82

2. 37

]2.25

]2.30

1.64

1. 10

2. 04

1.40

1.41

2.66

1. 16

] 1. 30

] 1. 06

]6. 50

1. 80

]2.75

*Long-period variables (Shapley and Nail, 1951b).

**Semiregular variables (Shapley and Nail, 1951b).
2 0 4 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 44.—Irregular variables

HV

811

813

12917

11246

11249

11252

1432*

11262*

825*

1455*

1456

11274

11280*

1468

1475*

12924

11292

832*

1529

1573

1586*

11330

1596

11337

1652*

11351

12126

1685

12138

1722*

11373*

11389

X

4298

4585

10004

10176

10470

10650

10915

10998

11125

11251

11254

11283

11394

11397

11474

11683

11810

11943

11981

12434

12534

12597

12612

12858

13037

13206

13212

13304

13488

13525

13596

13773

y

12295

11774

5551

9822

2754

9129

7333

8556

10813

5735

6363

10182

9489

6423

7747

6951

7883

10143

7692

9378

10416

13662

8804

8829

10326

127 38

9858

7160

10494

8498

11508

9993

Mo

14. 00

12.40

15. 10

14. 17

16.80

16. 15

15.40

13.66

14. 06

13. 65

14.42

16.43

14.79

16. 19

12. 56

15. 76

16. 36

13.70

15. 58

15.79

16. 06

14.40

15.03

16.63

14. 17

14. 84

15.97

13. 70

15.65

15. 55

14. 35

16. 34

m

o

15.00

14. 10

16.27

14.63

17.80

16.92

17. 10

15.71

15. 14

14. 85

18.06

17.63

15.73

17. 11

13.42

16.84

17.21

14. 32

17; 43

16.96

17.02

15.20

15.86

17.03

15.42

16. 00

17. 24

14.47

16.72

17.46

14.99

17,04

A

1.00

1.70

1. 17

0. 54

1.00

0.77

1.70

2.05

1.08

1.20

3.64

1.20

0.94

0.92

0.86

1.08

0.85

0.62

1.85

1. 17

0.96

0.80

0.83

0.40

1.25

1. 16

1.27

0.77

1.07

1.91

0.64

0. 70

HV

1798

11397

12939

11402*

11423*

11425

1880

11455*

11464

11465*

11470*

1977

2011

2032

2066

2084*

2105*

2106

11502

11511

2171

11518

11531

11537

2214

11545

2228*

11546*

2232*

X

14133

14134

14147

14193

14622

14673

14826

15186

15393

15423

15525

15639

16014

16200

16532

16735

16922

16931

16959

17304

17655

17880

18806

18987

19101

19788

20893

22146

22155

y

8353

10466

8387

11544

13830

14625

10720

12363

9438

9858

10554

9473

8062

7907

10166

7566

12544

10426

13068

12444

8423

5748

12720

9999

14174

14910

10639

9267

7113

Mo

16.25

16.03

14.94

13.61

12. 59

16.82

14. 53

17. 17

13.99

14. 20

15.48

16.43

16.20

16. 36

14. 54

13.94

16. 12

16.00

16.66

16. 10

16.75

14.88

15.85

16. 15

16. 05

15. 12

13.90

12. 59

13.80

m

0

17.05

16.94

16.99

15.00

13. 55

17.80

15. 12

18.00

15. 39

15. 54

16.24

17.70

16.69

17.25

15.82

15.60

17. 50

16. 50

17. 30

16.78

17.77

15. 90

16. 31

16.71

16.91

15. 59

15. 30

13. 38

16.80

A

0.77

0.91

2.05

1. 39

0.96

1.02

0. 59

0.83

1.40

1. 34

0.76

1.24

0.49

0.89

1.28

1.65

1.38

0.50

0.64

0.68

1.02

1. 02

0.46

0. 56

0.86

0.47

1.40

0.79

3.00

•Irregular or semiregular (Shapley and Nail, 1951b).
WHOLE VOLUME

205

TABLE 45.—Rate of production of stars that are now Cepheids

(T)

10 years

2 to 4

4 6

6 8

8 10

10 12

12 14

14 16

16 18

18 20

20 22

22 24

24 26

26 28

No. of

Cepheids

(N)

20

51

55

62

81

102

116

110

103

91

79

70

65

N / T

5. 0

8. 3

6 . 9

6.2

6 . 6

7. 3

7 . 2

6. 1

5.2

4 . 2

3. 3

2 . 7

2. 3

(T)

10 years

28 to 30

30 32

32 34

34 36

36 38

38 40

40 42

42 44

44 46

46 48

48 50

>50

No. of

Cepheids

(N)

35

23

24

19

13

4

4

4

2

4

3

2

N / T

1.2

0.72

0.71

0. 53

0. 34

0. 10

0. 10

0.09

0.04

0.08

0.06

0.04

TABLE 46.—Frequency of amplitude

Amplitude

0.3 0.4

0. 4 0. 5

0. 5 0. 6

0. 6 0. 7

0. 7 0. 8

0. 8 0. 9

0. .9 1.0

1.0 1.1

1.1 1.2

1.2 1.3

1.3 1.4

1.4 1.5

1.5 1.6

1.6 1.7

1.7 1.8

1.8 1.9

1.9 2. 0

2. 0 2. 1

2.1 2.2

2.2 2.3

All stars

(M-m)<0. 3

0

8

24

46

68

67

100

103

108

117

102

84

60

44

27

23

16

9

7

1

1

Percent

-

0. 8

2 . 4

4. 5

6. 7

6 . 6

9 . 9

10.2

10. 6

11. 5

10. 0

8. 3

5. 9

4. 3

2. 7

2. 3

1.6

0. 9

0. 7

0. 1

0. 1

All stars

(M-m)>0. 3

4

17

24

22

32

22

11

3

2

1

1

0

0

0

0

0

0

0

0

0

0

Percent

3. 0

12.6

17. 8

16.3

23. 7

16.3

8. 1

2 . 2

1. 5

0. 7

0. 7

-

-

-

-

-

-

-

-

-

-

Period

> 2 d< 3 d

(M-m)<0. 3

0

1

3

8

12

16

21

17

24

33

16

25

14

14

6

12

6

2

0

0

0

Percent

-

0.4

1. 3

3. 5

5.2

7.0

9- 1

7.4

10. 4

14. 3

7. 0

10. 9

6.1

6. 1

2 .6

5.2

2 . 6

0.9

-

-

-

U.S. GOVERNMENT PRINTING OFFICE: 1966 O—797-81 9