DBPAETMENT OP THE INTEKIOB

BULLETIN

OK THE

UNITED STATES

GEOLOGICAL SURVEY

No. 49

WASHINGTON

GOVERNMENT PRINTING OFFICE 

1889

UNITED STATES GEOLOGICAL SUBVEY

J. W. POWELL, DIKECTOE

LATITUDES AND LONGITUDES

OF

CERTAIN POINTS IN MISSOURI, KANSAS, AND NEW MEXICO

EGBERT SIMPSO]N WOODWARD

WASHINGTONGOVERNMENT PRINTING OFFICE

1889

CONTENTS.

Page. 

Letter of transmittal......................................................... 7

(1) Determination of astronomical positions in Missouri, Kansas, and New

Mexico .......................................................... 9

Descriptions of stations ..................................................... 9

(2) Oswego, Elk Falls, and Fort Scott, Eans.; Springfield and Bolivar,

Mo.; Albuquerque, N.Mex .................................. ..... 9

Instruments and instrumental constants..................................... 11

(3) Instruments used at Saint Louis and their constants ...... .......... 11

(4) Instruments used at Wie field stations and their constants ........... 11

(5) Principal details of determination of constants of field instruments .. 12

Latitudes .......... .......... .............................................. 20

(6) Methods of observation; selection of stars; table of results.......... 20

(7) Combination of results from different pairs of stars by weights; table

of definitive reoults ................................................ 32

Longitudes ................................................................. 39

(8) Program for time determination .................................... 39

(9) Method of reduction ............................................... > 39

(10) Weights ........................................................... 41

(11) Details of time work ............................................... 42

(12) Personal equation .................................................. 43

(13) Time-piece corrections and rates .................................... 112

(14) Apparent differences of longitude .................................. 115

(15) Relations of apparent and true differences of longitude and systematic

errors ............ ...... ......................................... 120

(16) Derivation of longitude differences uucorrected for personal and instrumental equation. .......... .................................... 121

(17) Corrections for personal equation .................................... 123

(18) Transmission times; arrangement of circuits; instrumental equation. 128

(19) Adopted corrections for personal and instrumental equation ......... 130

(20) Adopted longitudes................................................. 130

Table of geographical positions ................ ............................. 132

(21) Derivation of geographical positions................................ 132

(177)

LETTER OF TRANSMITTAL

DEPARTMENT OF THE INTERIOR, 

UNITED STATES GEOLOGICAL SURVEY,

Washington, D. C., April 15,1887.

SIR: I have the honor to submit herewith, through Mr. Henry Ganjett, Geologist in charge of Geography, a report on the determination 

of astronomic positions in Missouri, Kansas, and New Mexico.

The principal results of this work were furnished to the Division of 

Geography for use in the map work proper soon after the observations 

were made, and the definitive latitudes together with approximate 

longitudes of the primary points were published in the Sixth Annual 

Eeport of the Survey.

, Although the immediate object of this astronomic work was the 

fixation of points within the probable limits of plumb line deflections, 

it is believed that the observations are sufficiently numerous and precise to justify their discussion somewhat in detail. Accordingly, in 

the intervals afforded by other work, an attempt has been made to 

collect, arrange, and discuss the observations in such a manner as to 

render their results most useful for the purposes of geography and 

geodesy.

I desire in this connection to acknowledge my indebtedness to Mr. 

B. C. Washington, jr., for faithful assistance in field work and in the office 

computations, of which latter he has made the greater part. It is 

proper also to state that the Survey is indebted for numerous courtesies 

to the county, officials at Oswego and Fort Scott, Kaus.; to Mr. 

S. E. W. Johnson, of Elk Falls, Kans. j to the authorities of Drury 

College, Springfield, and the Southwest Baptist College, Bolivar, Mo. j 

to the officials of the Atlantic and Pacific Railway, Albuquerque, 

N. Mex.; and to the Western Union Telegraph Company for the free 

use of their lines in exchanging clock signals. 

Very respectfully,

E. S. WOODWARD,

Geographer.

Hon. J. W. POWELL,

Director U. 8. Geological Survey.

(179)

LATITUDES AND LONGITUDES IN MISSOURI, KANSAS. 

AND NEW MEXICO.

BY EGBERT S. WOODWARD.

(1) During the months August to December, 1885, and June* and 

July, 1886, the latitudes and longitudes of the following places were

determined in connection with the geographical work of the Geological 

Survey, namely, Oswego, Elk Falls, and Fort Scott, in Kansas; Soringfield and Bolivar, in Missouri; and Albuquerque, in-New Mexico. The 

results of this work are here collected and discussed with such detail as 

has seemed essential to their proper interpretation.

The longitudes of the above places were determined by the telegraphic 

method with respect to the observatory of Washington University, 

Saint Louis, Mo. The observations at Saint Louis were made by Prof. 

H. S. Pritchett. He was assisted by Mr. A. Ramel. The field observations were made by the writer, who was assisted by Mr. B. C. Washington, jr.

At each p.oint where astronomic observations were made a stable 

and reasonably permanent pier for supporting the transit was erected. 

The piers were referred geodetically to one or more public buildings 

and to one or more public land survey corners. A list of the latitudes 

and longitudes of the latter points, as well as of the piers, will be found 

in section (21), Descriptions of the piers and the locations of the several stations where observations were made are given below.

DESCRIPTIONS OF STATIONS.

OSWEGO, KANS.

(2) This station is situated in the court house yard on the northwest 

corner of Sixth avenue aiid Merchant street, in Oswego, Labette 

County, Kaus. The pier from which observations were made is about 

3.5 feet high. It is of brick, two by two and one-half brick-lengths in 

cross section, and capped by a dressed sand stone about 19 inches by 

24 iuches in cross section and 6 inches thick. The foundation for the 

pier is a cubic yard of concrete whose upper surface is about even with 

the ground surface.

(181) 9
10 LATITUDES AND LONGITUDES. [BULL. 49.

ELK FALLS, KANS.

This station is situated on the southwest corner of Sixth and Sedgewick streets in the village of Elk Falls, Elk County, Kans. It is about 

75 feet west of the railway eating house and about 100 feet south of the 

Southern Kansas Railway. The pier is similar in form and construction 

to that at Oswego, described above.

i

FORT 8COTT, KANS.

This station is situated within and near the northeast corner of the 

court house square, Fort Scott, Bourbon County, Kans. This square 

is bounded on the north, east, south, and west by Birch street, National avenue, Hickory street, and Judson street, respectively. The 

pier is similar in form and construction to that at Oswego, described 

above. For the purpose of fixing a meridian line permanently the 

authorities of Bourbon County set in the court house square two 

heavy limestone posts. These are about 4 feet long, and are set so 

that their upper surfaces are about even with the ground surface. A 

point, consisting of an indentation made with a center punch in soft 

metal run into a hole one-half inch in diameter and 2 inches deep, was 

fixed on each stone. These points define a meridian with a probable 

error of about i 10". The point on the northern stone, which is near 

the north side of the square, bears north 8° 06' west, and is 51.48 feet 

distant from the small drill hole defining the position of the transit on 

the capstone of the pier. The southern stone is 287.76 feet from the 

northern.

SPRINGFIELD, MO.

This station is situated in North Springfield, G-reene County, Mo. It 

is on the grounds of Drury College, about 50 feet east of the center of 

Benton avenue, and between Calhouu and Center streets. The pier 

has a foundation of a cubic yard of concrete and a superstructure of 

dressed sandstone capped by a limestone slab 4 inches thick and 18 

inches by 22 inches in cross section.

BOLIVAR, MO.

This station is situated in the northwest corner of the grounds of the 

Southwest Baptist College, Bolivar, Polk County, Mo. These grounds 

are bounded on the north, east, south, and west by Maupiu, Mill, College, and Clarke streets, respectively. The foundation for the pier is a 

cubic yard of concrete. The superstructure is of brick capped by a 

limestone slab 4 inches thick and 18 inches by 22 inches in cross section.

ALBUQUERQUE, N. MEX.

This station is on the grounds of the Atlantic and Pacific Railway, 

Albuquerque, TS. Mex. It is about 100 feet south of the general office 

of the railway company, and is inclosed by a small frame building or

(182)
WOODWARD.] INSTRUMENTS AND CONSTANTS. 11

observatory. The pier is of dressed sandstone, about 16 inches square 

in cross section, about 7 feet long, and is capped by a limestone slab 6 

inches thick and 19 inches by 24 inches in cross section.

INSTRUMENTS AND INSTRUMENTAL CONSTANTS.

(3) The instruments used at Saint Louis were a meridian transit by 

Fauth & Co., a chronograph by Bond & Sons^ and two break-circuit 

mean-time clocks, Eos. 214 and 225, by Howard. For the transit, Professor Pritchett has furnished the folio wing constants, which have been 

used in the reductions of his time work :

Meridian transit, Fauth fy Co,

Focal length of telescope ........................................ ....inches.. 38. S

Clear aperture.... ......................................'. ....... ......do....

Magnifying power ...................... .................. ......diameters.. l~o

Equatorial intervals of diaphragm lines used from their mean.

Wire A3 +118 .41

.£,+ 5.70

B2+ 2 .85

B3 0 .00 

Bi- 2 .85 

.&- 5 .70 

Oi-ll .41

Clamp west.

Value of one division of striding level=OM36.

Inequality of pivots=+08 .005 clamp west.

(4) The instruments used in the field were a meridian transit by 

Wiirdemann, a chronograph by Fauth & Co., and two break-circuit 

sidereal chronometers, No. 187 by Bond & Sons, and JSTo. 353 by Blunt 

& Nichols. The transit has a split base, the lower part carrying a 

spindle, about which the upper part may turn when the instrument is 

used for determining. latitude by Talcott's method. The constants of 

this transit are given below :

Meridian transit, Wiirdemann No. 20.

Focal length of telescope ..................................... ......inches.. 25.50

Clear aperture .................................................. ....do.... 2

Distance between principal points of objective ......... .... ...... ....inch.. 0. 123

Magnifying power with diagonal eye piece ...................... diameters . . 70

(183)
LATITUDES AND LONGITUDES. [BULL. 49.

Equatorial intervals of diaphragm lines from mean of middle five lines. 1 

Wire Ai+25«.72 \

J.3+17.16 

1+ 8.71±0S .005 

2+ 4.37 ±0.005

3- 0.07±0.005

4_ 4.30±0.005

5- 8.71±0.005

B^Yl .25

Ty 01 QO X>2~~wi. «C7^

#,-25.97

Table of level constants.

Clamp west.

Levels. '

Striding levrl A

Striding level -B

Latitude level O

Latitude levelD

No. divisions to 1 inch.

13

20

11

12.5

Valne of 1 division.

1". 69=0'. 113

1 .55=0.103

3 .86

2 .10

1 The letters A, IS, G, D, respectively, are engraved on the glass tubes of these levels.

One revolution of zenith distance micrometer screw=80".763± 

0".009.

Log. half re volution=1.60618.5 ±4.5.

Correction for inequality of pivots2=08 .068, the clamp end of the 

axis beiug the larger.

One revolution of azimuth screw=198".75=138.25.

One division of head of screw for wye adjustment=2".08=08.139.

(5) The principal details of the work of determining the above constants of Wurdemann transit No. 20 will now be given.

(a) Equatorial intervals of- lines on diaphragm. The transit lines of 

this instrument are ruled on a glass diaphragm. The intervals of the 

five middle lines from their mean were determined from the transits, 

observed at Oswego, Kans., of 51 stars varying in declination from 0° 

to 87°. There were observed in all 161 transits of these stars. The 

resulting mean values of the intervals and their probable errors are 

those given above. The intervals of the outside lines from the mean

1 The glass diaphragm on which these lines were ruled was, unfortunately, broken 

while the instrument was in the hands of the mechanician undergoing repairs in 

1886.

8 The pivots were re-turned and polished in 1886, and the existing pivot correction 

has not been determined.

(184)
'WOODWARD.] INSTRUMENTS AND CONSTANTS. 13

of the middle five depend on a smaller number of transits, and have 

about half as great a precision as the other intervals.

The 161 transits of the 51 stars just mentioned afforded data for determining the probable error of a transit of a star across a single line or 

 wire. If £1 denote the probable error corresponding to the aggregate 

of those actual errors whose effect varies as the secant of the star's 

declination, £2 the probable error corresponding to the aggregate of 

.those actual errors whose effect is independent of the star's declination, 

rand £<j the probable error of a transit over one wire of a star whose 

'declination is tf ; then

By comparing the times of transit over the individual lines with the 

mean of those times a value of ei was determined for each star. Considering f$ as the observed quantity and f, and £2 as unknowns i 

the above equation, the usual process of least squares gave

£i2=(08 .054)2±(0B.004)2, 

£22=(08.046)2 ±(08.025)2.

These results give for the probable error of a transit of an equatorial 

star over one line

*o= ±08.071.

In general, if m denote the magnifying power of a traRsit

in which fc is a constant, or the value of £i when w=l. Since for the 

transit used w=70, the .above value of £1 gives

Therefore we may write the general formula 1

m

sec2 d+(08.05)2. v

(b) Focal length and magnifying power of telescope. The focal length 

of the telescope was determined by measuring the distance between an 

object and its image formed by the objective when the conjugate distances were about equal, or about twice the focal length sought. Iff

1 Dr. Albrecht, in his Formeln und. Htilfstafeln, gives

S -HO-.05)".

(185)
14 LATITUDES AND LONGITUDES. [BULL. 49.

be the focal length of the objective and 2/±4A an(i 2/^=J/2 be the conjugate distances, we get from the fundamental relation

whence, neglecting the, higher terms,

hence

To get an idea of the magnitude of the neglected terms, suppose /= 

25 inches and J/=l inch, then

Great accuracy therefore in centering the lens between the object 

and image is not essential. In the experiments, kowever, the values of 

Zf/did not exceed one-half inch.

The object used was a pin hole in a black paper diaphragm. The hole 

was illuminated by daylight from a mirror and also by light from a lardoil lamp. The image was observed with a microscope whose magnify-; 

ing power is 33 diameters, The position of a fixed point on the microscope when focused on the plane of its stage was noted, and then the 

position of the same point relative to the stage was observed when the 

microscope was focused on the image of the pin hole. The position of 

the image relative to the microscope stage was thus known, and the 

only additional measurement was that of the distance of the plane of 

the microscope stage from the object. Six sets of measures were made, 

four when the pin hole was illuminated with light from the mirror and 

two when illuminated by the lamp. The front of the objective was 

toward the object for one-half of the measures and toward the image 

for the other half. The image was best defined when the front of the 

objective was toward the object, but in either case the image was as 

well defined as the image of a star formed by the same objective. No 

effect from spherical aberration was noticeable. The following are the 

results obtained for the distance between the object and image, the

(186)

I
WOODWARD.] INSTRUMENTS AND CONSTANTS. 15

position of the objective being denoted by the letter D or It, according 

as its front was toward the object or image:

Distance.

Inches.

102. 10

102. 12

102. 07

102. 08

102. 13

102. 16

Objective.

D

D

£

K

K

D

Light.

From mirror.

Do.

Do.

Do.

From lamp.

Do.

These results indicate some slight dependence on the position of the 

objective and on the color of the light used to illuminate the pin-hole, 

dependencies which would need examination in a more precise determination. For the present purposes, however, the arithmetical mean 

of the above results suffices. It is

102in .ll±0ta.01.

This is four times the focal length of the objective plus the distance 

between the principal points. The latter distance was measured with 

a microscope according to the method1 given by Gauss in his Dioptrische Uutersuchungen. The result was

Oin.123±0in.001.

1 By this elegant method a microscope is focused on any object, first, when viewed 

directly; and, second, when viewed through the lens, the object being in the latter 

case in the axis of the lens and in contact with one of its exterior surfaces. The distance between the two positions of the microscope is then a measure of the distance 

between the principal points of the lens. The theory of this method, not given in 

detail by Gauss, is as follows :

Let PI and P2 be the two positions of any point of the microscope tube when viewing an object, 0, directly and through the lens, and E\ and E% the positions of the 

principal points of the lens when it is in contact with the object. Let PiP2 = s, 

E\Ei = h, /=the focal length of the lens, « = the conjugate distance OEi, and y the 

corresponding distance from 2?2 to the image, which will be in this case virtual. 

Then we have

or

But since

whence

A. = 8 ic y.

1+1=1 * y J

= s+f-x

Hence if x is small s is a close approximation to A, or the distance between the principal points. For the Wiirdemaun transit/=25in.5 and x does not exceed Oin.l. The 

small term in the above expression is therefore not greater than -^^ inch.

(187)
16 LATITUDES AND LONGITUDES. [BULL. 49.

Hence if/ denote the focal length we have

4/=101in.987±Oin.010. 

/=25in.497 ±0m.003.

The magnifying power of the telescope was measured by the usual w 

process, except that a micrometer microscope instead of a dynameter 

was used to measure the image of the objective formed by the eye piece.

(c) Values of level divisions. The value of one division of each level 

was found by means of a level trier. For the use of an instrument of 

this kind the Survey is indebted to Prof. William Harkuess, U. S. Navy, 

who placed his excellent trier at the writer's disposal and afforded every 

facility for securing comparisons between it and the levels. The observations were made in the usual manner and reduced as follows :

Let the differences between the readings of the ends of the bubble 

(whose graduations are numbered from the center towards either end) 

be denoted by rf<n ^i, ^2 ^n » respectively. Let the corresponding readings of the level trier be denoted by jR0 , J?j . . . Rn , respectively. Supposing the errors of observation, etc., to exist in the 

values of d1} «f2 , etc., only, let the most probable corrections to these 

quantities be v0 ,Vi . . . vn , respectively. Let y be the most probable value of one division of the level in terms of one division of the 

trier, and put

Then

in which /* is any integer from 1 to n. Assuming the v's of equal 

weight, we must have [vv] a minimum, subject to the n conditions symbolized by the last equation. Hence the normal equations for determining x and v0 are

[Rl.-R0]x+[Rll -R0 ]v0=[(RllL -R0 )(dll -d0)]t

lK=[dM d0]. 

(188)
WOODWARD.] INSTRUMENTS AND CONSTANTS. 17

The results obtained by this process are given in the following table:

Values of level divisions.

Date of 

determination.

1884.

Level.

A

A

B

B

G

0

D

D

Value of one division.

// 

1.67

1.71

1.53±0.01

1.58 ±0.01

3.86

3.80

2.094-0.02

2. 00 ±0.01

Temperature at 

time of comparisons.

F°. 

84.0

78.5

84.0

78.5

84.0

84.0

78.5

78.5

The precision of the values for the levels A and C, whose probable 

errors have not been computed, is about the same as that for the levels 

B and D. The adopted values for levels A and G are means of those 

given in the table.

The value of a division of levels B and D was also determined in the 

field by comparisons with the zenith distance micrometer screw. The 

telescope of the-transit was directed to a distant distinct object and given 

a slight motion in a vertical plane by means of the zenith distance tangent screw. This motion was measured with the levels and with the 

micrometer screw, thus affording a relation between them. The process 

of coinputatiou requisite to give the most probable value of a level 

division from such comparisons may be briefly explained thus:

Let

#=the value of one division of the level in terms of one division

of the head of the micrometer screw. 

a=observed number of level divisions over which the bubble

moves for any motion of the level. 

&=the corresponding number of micrometer divisions.

Then if Aa and 'v denote the most probable corrections to a and &, respectively, we have

(a+Aa)x b=v,

which must be satisfied exactly by the computed values of a?, Aa, and v. 

There will be as many equations of this form as there are different 

values of a or &. Subject to these equations we must also have, supposing the observed values of a and & of equal weight,

[Aa . =a mnmum.

Bull 49 2

(189)
18 LATITUDES AND LONGITUDES. [BULL. 49.

By forming the normal equations and eliminating the unknowns it 

may be readily shown that

"zr=I^J with the weight [aal. [aa] e L j

Also, if the successive values of a, b, A&, and v be denoted by the suf- 

.fixes 1, 2, ... n,

:0. [at>]=0. 

Finally, the probable error of an observed quantity of unit weight is

±0.6745 /-I

The reduction of the comparisons by the above process gave for one 

division of level B

1".54±0".02, 

and for level D

2".15±0".02.

The temperature at the time of the comparisons was 50° F. 

The values adopted for levels B and D are means of those derived 

from the comparisons with the level trier and those just given above.

Thus the adopted value for level B is

and for level D

^(2//.09+2//.00)+2//.15_2//10

(d) Value of one revolution of micrometer screw. The value of one 

revolution of the zenith distance micrometer screw was determined by 

transits of Polaris at elongation. The times of transits were recorded 

on the chronograph. The observations were treated by the method of 

least squares in the manner explained in Chauvenet's Astronomy, Volume II, section 237. Forty-one observation equations were furnished 

by the times of transit across the micrometer wire, which was set successively at each half revolution from 5.5 to 25.5. The solution of the

(190)
WOODWARD.! INSTRUMENTS AND CONSTANTS. 19

equations gave for one revolution of the screw, corrected for differential 

refraction,

80"-.763±0".009.

An examination of the residuals gave no indication of systematic or 

large accidental irregularities in the screw. The above value has therefore been adopted.

(e) Correction for inequality of pivots. The pivot correction was determined from several series of observations made especially for that 

purpose, and also from the working inclinations of the horizontal axis 

observed during the longitude work. The result from the direct observations is

the clamp end of the axis being the larger, The mean value resulting 

from the working inclinations of 1884 is

.and that from similar data of 1885 is

The result from the direct observations has been adopted.

The wye "F's of the transit have different angles, 1 and this fact required a formula of reduction differing from those given in the books. 

If, in general, BI and 02 are the half angles of the wye F's, ii and ij 

the half angles of the level F's, n and r2 the radii of the pivots, I the 

length of the level, and BI and B2 the observed inclinations of the axis 

for clamp west and clamp east respectively,2 then it may be shown that 

the following relation holds:

I \ sin t'i sin «2 sin ^i sin i

If the level 7's have equal angles, i. e., if ii=i2 =i, we have from 

this equation, since

* I sin i '

( 0 -sin i . sin i P\ 2+-= a-H = 27 

* \ sin BI sm 6*2

This reduces to the usual form if #i=02 . SeeChauvenet s Astronomy,

1 The old brass F's were replaced^by agate surfaces iii ]8i6.

9 That is, the apparent inclination resulting from readings of the striding level in 

the direct and the reverse positions.
20 LATITUDES AND LONGITUDES. [BULL.49.

Vol. II, page 155. The numerical value of the coefficient of p in the 

last equation was found to be 4.07.

LATITUDES. %

(6) Latitudes have been observed exclusively by Talcott's method. 

At each station a meridian mark was set up and its azimuth was determined within narrow limits from the time observations. By means of 

the meridian mark the middle line of the transit was kept closely collimated and in the meridian. With very few exceptions the stars were 

bisected at the time of transit across the middle line of the diaphragm.

Pairs of stars were selected for the most part from Safford's catalogue 

of 2018 stars.1 Some few not embraced in this catalogue were selected 

from the catalogue of U. S. Coast and Geodetic Survey,2 and a few from 

the Berliner Jahrbuch.

The observations of the stars selected from the Coast Survey catalogue have not been reduced, for the ^easons that the catalogue furnishes 

approximate mean places only, and that too few were observed to make 

it worth while at present to examine the general catalogues for the purpose of deducing accurate mean places.

The details of the results which have been computed are given in 

Table I. The first column in these tables gives the dates of the observations. The second column gives the star numbers, these latter denoting those of Saiford's catalogue, unless otherwise designated. The third 

and fourth columns give the declinations of the stars for the dates 

of observation, and the fifth column the half sum of the declinations 

for each pair. The sixth and seventh columns give the micrometer and 

level measurements, respectively, which together make up the half difference of zenith distances of the pairs of stars observed. The eighth 

column gives the correction for refraction, and the ninth column gives 

the result for latitude.

J Mean declinations of 2018 stars between Oh and 2h and 12h and 24b right ascension, 

and 10° to 70° north declination, for January 1, 1875. Prepared under the direction 

of Lieut. George M. Wheeler, Corps Engineers, U. S. Army, Washington. Govern-, 

ment Printing Office, 1879.

2 Appendix No. 7, Report of 1876. Gvernment Printing Office, 1879.

(192)
WOODWAHU.J DETAILS OF LATITUDE WORK. 21

TABLE I. Details of latitude work: Station, Oswego.

Date.

1884.

Sept. 3

4

3

4

3

4

4

Aug. 27

Sept. 3

4

Aug. 27

28

Sept. 3

4

Aug. 27

28

Sept. 4

Aug. 27

Sept, 4

Aug. 27

28

Sept. 3

Aug. 27

28

Sept. 3

4

Aug. 27

28

Sept. 3

4

Aug. 27

Sept. 3

4

Aug. 28

27

28

Sept. 3

4

Aug. 27

28

Sept. 3

4

Aug. 27

28

Sept. 3

4

Aug. 27

28

Sept. 4

Star 

number.

672 690

672 690

701 714

701 714

721 726

721 726

732 739

761 773

761 773

761 773

834 638

834 838

834 838

834 838

848 858

848 858

848 858

877 885

877 885

927 940

927 940

927 940

974 977

974 977

974 977

974 977

936 1002

996 1U02

996 1002

996 1002

1 13 1040

1013 1040

1013 1040

1038 1046

1075 1096

1075 1096

1075 1096

1075 1096

1117 1131

1117 1131

1117 1131

1117 1131

1144 1157

1144 1157

1144 1157

1144 1157

1192 1202

1192 1202

1192 1202

«i

O / /'

28 29 54. 10

54.12

27 47 43. 25

43.26

29 16 03. 02

03. 06

48 28 26. 09

24 24 18. 07

18.65

18.68

33 1409.44

09.63

10.33

10.42

48 43 20.92

21.15

22.17

24. 04 42. 60

43. 49

29 24 08. 94

09.14

09.96

44 26 47. 70

47. 95

49.07

49.22

41 30 10. 33

10.60

11.72

11.87

22 19 22. 92

23.91

23.99

34 46 60. 22

23 17 16. 51

16.73

17.60

17.70

49 53 01. 19

01.52

02.95

03.13

38 04 03. 22

03.53

04.82

04.98

29 56 09. 86

10.13

11.43

52

o / //

46 04 31. 89

31.93

46 40 51. 82

51.87

45 29 27. 57

27.63

26 05 14. 06

49 40 36. 04

36.89

36.99

41 15 00. 83

01.03

01.83

01.94

26 03 40. 09*

40.28

40.99

50 11 05. 20

05.46

44 42 3.5. 89

36.16

37.21

29 53 38. 43

38.66

39.57

39. 67

33 27 56. 53

56.77

57.78

57.89

52 08 2C. 45

22.10

22.27

40 03 51. 48

51 07 22. 19

22.49

23.94

24.13

24 05 01. 65

01.87

02.84

02.96

36 33 10. 96

11.23

12. 50

12.66

4 52 25. 86

26.17

27.85

t(«i+di)

O ' //

37 17 12.98

13.02

37 14 17. 53

17.56

37 22 45. 28

45.34

37 16 50. 08

37 02 27. 05

27.77

27.83

37 14 35. 13

35.33

36.08

36.18

37 23 30. 50

30. 71

31.58

37 07 53. 90

54.47

37 03 22.41

22.65

23.58

37 10 13. 06

13.30

14.32

14.44

37 29 03. 43

03.68

04.76

04.88

37 13 51. 68

53.00

53.13

37 25 25. 85

37 12 19. 35

19.61

20.77

20. 91

36 59 01. 42

01.69

02.89

0'.04

7 18 37.09

37.38

38.66

38.82

7 24 17. 86

18.15

19.64

\(Z\-ZJ

Micrometer. '

; //

 7 12. 80

 7 13. 82

 4 19. 25

 4 19. 85

 12 47. 36

 12 38. 36

 6 55. 53

+ 7 33. 48

+ 7 32. 43

+ 7 31.66

- 4 43. 92

- 4 34. 11

 4 36. 78

 4 35. 40

-14 03. 16

-13 59.85

 14 03. 76

+ 1 59. 76

+ 2 05. 87

+ 6 35. 42

+ 6 40.37

+ 6 38. 00

 0 16.51.

 0 09. 77

 0 17.45

 0 14. 86

 19 07. 26

 19 02. 10

 19 08. 58

-18 59. 76

- 3 53. 49

- 3 51. 35

 3 53. 12

-15 23. 96

 2 18. 18

- 2 20. 31

 2 19. 16

 2 20. 32

+11 02. 17

+10 58.79

+10 59. 10

+U 02.04

 8 38. 90

 8 37. 98

 8 37. 53

 8 38. 69

 14 17. 73

 14 19. 53

 14 20. 90

Level.

 0.47

+0.21

+0.47

+1.05

+1.83

-6.18

+3.04

-1.31

 1.36

0.00

+ 7.50

-1.52

 0.31

+0.11

+0.73

+ 0 37

+3.67

+3.67

-1.99

+3.14

-2.26

-0.68

+3.30

-3.72

+4.30

+1.05

+3.61

 3.45

+3.40

 3.72

+0.68

-1.31

-1.31

 1.00

+0.37

+3.61

-1.78

-0.58

-3.30

-2.31

-3.98

 5.24

+0.94

+ 1.36

+1.00

+0.47

-0. 10

+ 3.30

+0.89

Correction 

for 

refraction.

/,

- 0. 12

 0.12

 0.07

-0.07

-0.21

-0.21

-0.12

+0.12

+0.12

+0.12

 0.08

-0. 08

 0.08

-0.08

-0.22

-0.22

+0.52

+0.03

+0.03

+0.11

+0.11

+0.11

0.00

0.00

0.00

0.00

 0.34

-0.34

 0.34

 0.34

-6.07

-0.07

 0.07

-0.26

 0.03

 0.03

-0.03

-0.03

+0.19

+0.19

+0.19

+ 0.19

 0.15

 0.15

 0.15

 0.15

-0.24

-0.24

-0.24

<t>

o / n

37 09 "9. 59

59.29

58.68

58.69

59. 54

60.59

57.47

59.34

58.96

59.61

58.63

59.62

58.91

60.81

57.85

61. 01

61.27

57.36

58.38

61.08

60.87

61.01

59.85

59.81

61.17

60.63

59.44

57.79

59.26

61.08

58.80

60.27

58.63

60.63

61.51

62.88

59.80

59.98

60.48

58.36

58.20

60.03

58.98

60.61

61.98

60.45

59.79

61.68

59.39

* The catalogue declination of 858 has beeu increased by 1'.

(193)
22 LATITUDES AND LONGITUDES. IBULL 49, 

TABLE I. Details of latitude work : Station, Oswego. Continued.

Date.

1884.

Aug. 27

28

Sept. 3

4

Aug. 28

Sept. 3

4

Aug. 28

Sept. 3 

4

Aug. 28

Sept. 3

4

Aug. 28

Sept. 3

Aug. 28

Sept. 3

4

Aug. 28

Sept. 3

4

Aug. 28

Sept. 3

4

Aug. 28

Sept. 3

4

Aug. 28

Sept. 3

Aug. 28

Sept. 3

Aug. 28

Sept. 3

Aug. 28

28

Sept. 3

Aug. 28

Sept. 3

Star 

number.

1212 1233

1212 1233

1212 1233

1212 1233

1251 1267

1251 1267

1251 1267

1295 1306

1295 1306 

1295 1306

1313 1336

1320 1337

1320 1337

1347 1370

1360 1373

1380 1397

1380 1397

1380 1397

1410 1424

1410 1424

1410 1424

1461 1465

1461 1465

1461 1465

1512 1535

1512 1535

1512 1535

1598 1616

1598 1616

1633 1640

1633 1640

1675 1682

1675 1682

1723 1728

1789 1804

1789 1804

1814 1831

1814 1831

5,

o / //

30 18 14.94

15.20

16.40

16.55

21 53 06. 75

07.77

07.89

40 01 38. 27

40.01 

40.23

36 37 13. 02

23 08 18.17

18. 30'

49 16 46. 23

51 46 10. 72

48 46 47. 67

49.48

49.73

46 02 50. 05

51.85

52.09

37 10 40. 99

42.61

42.82

44 35 11. 25

13.09

13.35

26 13 37. 08

38.48

31 53 56. 48

58.07

46 11 34.35

36.27

28 23 11. 03

53 31 55. 00

56.94

47 13 52. 47

54.30

82

o / //

43 57 21. 10

21.43

22. 94

23.14

52 49 53. 37

55.14

55. 34

25 40 59. 78

% 60.95 

61.11

38 01 17.53

51 11 21. 83

22.07

25 07 09. 63

22 25 19. 13

25 23 12.43

13.71

13.85

28 24 28. 07

29.43

29.61

37. 11 37. 49

39.12

39. 34

29 51 01. 38

02.86

03.05

47 59 39. 33

41.29

42 16 43. 13

44.95

28 12 07. 76

09.24

45 44 48. 63

20 48 23.93

25.16

27 04 57. 47

58.86

4(<5,+S2 )

0 ' //

37 07 48. 02

48.31

49.67

49.84

37 21 30. 06

31.45

31.61

37 21 19. 02

20.48 

20.67

37 19 15. 27

37 09 50. 00

50.19

37 11 57. 93

37 05 44. 92

37 05 00. 05

01.59

01.79

37 13 39. 06

40.64

40.85

37 11 09. 24

10.86

11.08

37 13 06. 31

07.97

08. 20

37 06 38.20'

39.88

37 05 19. 80

21.51

37 11 51. 05

52.75

37 03 59. 83

37 10 09. 46

11. 0.J

37 OD 24. 97

26.58

4(^1-^2)

Micrometer.

/ //

+ 2 08. 98

+ 2 13. 10

+ 2 10. 39

+ 2 09. 42

-11 31.48

 11 30. 29

-11 29. 60

-11 18.81

-11 23. 66 

-11 22. 69

 9 19. 47

+ 0 11.87

+ 0 08. 56

 1 57. 51

+ 4 14. 16

+ 4 57. 13

+ 4 58. 90

+ 4 59. 06

 3 38. 71

 3 39.27

 3 40.28

 1 11.15

 1 14. 30

 1 14.50

 3 07.29

 3 08. 18

 3 0-7. 05

+ 3 17. 14

+ 3 18. 07

+ 4 41. 18

+ 4 38. 23

 1 51. 82

- 1 55. 90

+ 5 57. 37

 0 10.21

- 0 13.73

+ 0 32. 51

+ 0 34. 53

Level.

"

+1.89

-1.36

-0.58

+0.58

+2.15

-1.05

-1.1C

+0.37

+2.31 

+1.89

+1.94

 2.10

+1.05

 0.26

+1.73

+1.62

-0.10

 1.05

-1.41

 0.52

+0.42

+1.73

+1.68

+3.67

-0.05

+1.05

 0.79

+4.87

+2.04

-2.46

+0.37

+0.52

+3.93

+2.10

+1.57

+3.67

+ 3.04

 1.31

Correction 

for 

refraction.

,/

+0.03

+0.03

+O.OS

+0.03

-0.21

 0.21

-0.21

 0.20

-0.20 

 0.20

-0.15

0.00

0.00

 0.03

+ 0.07

+0. 09

+0.09

+0.09

-0.06

 0.06

 0.06

 0.02

 0.02

-0.02

 0.05

 0.05

 0.05

+0.06

+0.06

+0.08

+ 0.08

 0.03

-0.03

+0.12

0.00

0.00

+0.01

+ 0.01

* .

o / /'

37 09 58. 92

60.08

59.51

59.87

60.52

59.90

60.70

'60. 38

58. 93 

59.67

57. 59

59.77

59.80

CO. 13

60.88

68.89

60. 48

59.89

58.88

60.79

CO. 9li

59.80

58.22

60. 23

58.92

60.79

60 31

60.27

60.05

58.60

60.19

59.72

60.75

59.42

60.82

60..99

60.53

59.81

(194)
WOODWARD. 1 DETAILS OF LATITUDE WOEK. 23

TABLE I. Details of latitude work: Station, Elk Falls.

Date.

1884.

Oct. 1

1.

1

1

1

1

7

1

7

1

7

1

7

4

4

7

1

4

1

5

1

4

5

5

1

4

1

4

5

Sept. 21

24

29

Oct. 1

4

5

Sept. 24

29

Oct. 1

Sept. 21

Oct. 4

Sept. 21

24

Oct. 1

4

5

8

Oct. 1

4

8

Star 

number.

848 858

869 879

890 912

957 970

977 987

996 1002

996 1002

1013 1022'

1013. 1022

1038 1046

1038 1046

1142 1168

1123 1133

1151 1180

1192 1202

1192 1202

1207 1209

1211 1229

1225 1235

1225 1235

1251 1267

1251 1267

1251 1267

1294 1299

1295 1306

1302 1306

1312 1332

1313 1336

1313 1336

1347 1370

1371 1376

1371 1376

1371 1376

1371 1376

1373 1390

1392 1399

1392 1399

1392 1399

1396 1410

1392 1402

1420 1440

1420 1440

1420 1440

1423 1444

1423 1444

1423 1444

1464 1480

1473 1494

1473 1494

<i

0 / /'

48 43 24. 48

21 06 19. 92

21 22 02. 66

58 21 36. 97

29 53 42. 34

41 30 15. 36

15.74

22 19 26. 40

26.62

34 47 04. 81

05.20

54 18 52. 23

34 37 47. 85

48 32 34. 80

29 56 15. 50

15.79

49 56 00. 00

46 53 09. 76

47 24 51. 33

51.85

21 53 11. 23

11.40

11.48

55 19 14. 86

49 01 46. 61

48 54 07. 17

27 06 45. 88

36 37 20. 43

20.58

49 16 52. 80

58 15 26. 41

27.72

28.11

28.72

22 25 23. 55

19 17 29. 63

30.22

30. 37

28 15 34. 07

19 17 30.50

42 15 47. 85

48.57

50.02

59 15 42. 07

42.33

43.02

19 23 30. 37

27 45 18. 55

19.15

i,

o / //

26 03 42. 63*

53 13 40. 06

53 09 49. 94

16 12 38.12

45 15 34. 86

33 28 00. 92

01.25

52 42 11. 87

12.40

40 03 56. 55

56.99

203549.35

39 53 43. 49

26 04 03. 32

44 52 33. 39

33.80

24 51 52. 56

27 49 30.15

27 37 33. 01

33.31

52 50 01.67

02.13

02.30

19 19 02. 03

25 41 05. 24

25 41 05. 47

47 56 28. 48

38 01 25. 33

25.49

25 07 13. 95

16 39 59. 45

59.96

60.09

60.23

52 09 55. 58

55 15 38. 16

39.47

39.86

46 02 56. 60

55 40 31.49

32 37 03. 11

03.74

04.96

15 28 39. 73

39.81

40.10

55 23 07. 39

47 07 19.66

20.61

4(h+Sz)

o / n

37 23 33. 55

37 09 59. 99

37 15 56.30

57 17 07. 56

37 34 38. 60

i7 29 08. 14

08.49

37 30 49. 13 .

49.51

37 25 30. 68

31.09

37 27 20. 79

37 15 45. 67

37 18 19. 06

37 24 24. 44

24.79

37 23 56. 28

37 21 19. 95

37 31 12. 17

12. 58

37 21 36. 45

36.76

36.89

37 19 08. 44

37 21 25. 92

37 17 36. 32

37 31 37. 18

37 19 22. 88

23.03

37 12 03. 37

37 27 42. 93

43.84

44.10

44.47

37 17 39. 56

37 16 33. 89

34.84

35.12

37 09 15. 33

37 29 01.02

37 26 25. 48

26.15

27.49

37 22 10. 90

11.07

11.56

37 23 18. 88

C7 26 19.10

19.88

l(Zi-Zt).

Micrometer.

; /;

 2 03. 01

+12 05. 82

+ 6 07. 67

+ 4 52.77

 12 33. 80

 7 02. 63

 7 01. 50

 8 48. 19

 8 37. 89

 3 25. 14

- 3 27. 52

- 5 16. 99

+ 6 18. 75

+ 3 43. 71

- 2 20. 37

 2 21. 98

- 1 56. 95

+ 0 41. 92

 9 08. 78

- 9 10. 64

+ 0 28. 67

+ 0 25. 40

+ 0 26. 73

+ 2 53. 84

+ 0 38. 77

+ 4 27. 28

 9 33. 26

+ 2 41.48

+ 2 40.48

+ 9 58. 69

 5 42. 10

-'5 40.13

 5 39. 73

 5 39. 73

+ 4 24. 13

+ 5 29. 95

+ 5 29. 59

+ 5 26.29

+ 12 48.46

 6 58. 87

 4 21. 02

 4 20. 46

- 4 22. 80

 0 09.13

 0 08. 88

- 0 10. 50

 1 16. 76

 4 14. 40

- 4 18. 20

Level.

n

+3.25

-1.41

 1.41

+2.62

-0.21

-1.52

-3.83

+1.73

-8.49

-1.21

 0.47

+0.47

 0.05

-0.79

 1.05

+1.26

+2. 36

+1.26

+0.79

+0.26

-1.36

+0.42

 0.05

+1.21

 0.21

+0.05

+0.05

-1.21

-0.63

+2.41

+3.41

+1.57

+0.16

+ 0.10

+0.10

+0.79

+0. 52

+3.72

0.00

+1.68

+0.47

 1.68

 1.89

+3.14

+ 1.78

-0.16

+ 1.73

 1.99

+1.57

Correction 

for 

refraction.

//

 0.03

+0.22

+0.11

+0.09

 0.21

-0.12

-0.12

 0.16

 0.16

 0.06

 0. 06

-0.09

+0. 11

+0. 06

 0. 04

 0. 04

-0.03

+0.01

 0.15

 0.15

+0.01

0.00

0.00

+0.05

+0.01

+0.08

 0.16

+0.04

+0.04

+0.17

-0.10

 0.10

-0.10

-0.10

+0.08

+0.10

+0.10

+0.10

+0.22

 0.13

-0.07

-0.07

-0.07

0.00

0.00

0.00

 0. 02

-0.07

-0.07

'*

o i a

37 22 03. 76

04.62

02.67

03.04

04. 38

03.87

03.04

02.51

02.97

04.27

03.04

04.18

04.51

02.04

02.98

04.03

01.66

03.14

04.03

0^.05

03.77

02. 58

03.57

03.54

04.49

03.73

03.81

03.19

03. 32

04.64

04.05

05. 18

04.43

04.74

03.87

04.73

05.05

05.23

04.01

03.70

04.66

03.94

02.73

04.91

03.97

00.90

03.83

02.64

08.18

' The catalogue declination of 858 has been increased by 1'.

(195)
24 LATITUDES AND LONGITUDES. I BULL. 49. 

TABLE I. Details of latitude ivork: Station, Elk Falls Continued.

Date.

1884.

Sept. 24

29

Oct. 1

Sept. 21

24

29

Oct. 1

4

8

Sept. 21

24

29

Oct. 1

4

8

Sept. 24

29

Oct. 1

4

8

Sept. 24

29

Oct. 1

4

8

Sept. 24

29

Oct. 1

4

8

Sept. 24.

29

Oct. 1

4

8

Star 

numbers.

1493 1498

1493 1498

1493 1498

1512 1535

1512 1535

1512 1535

1512 1535

1512 1535

1512 1535

1559 1565

1559 1565

1559 1565

1559 1565

1562 1575

1562 1575

1583 1602

1583 1602

1583 .1602

1598 1611

1598 1611

1609 1621

1609 1621

1609 1621

1623 1628

1623 1628

1640 1652

1640 ]652

1640 1652

1650 1656

1650 1656

1669 1675

1069 1675

1669 1675

1669 3675

1669 1675

ii

O ' //

31 59 14. 67

15.68

15.95

44 35 18. 06

18.85

20.14

20.55

21.12

22. 05

35 44 24. 72

25.41

26.55

26.88

20 09 18. 86

19.35

24 51 00.40

01.28

01.52

26 13 44. 12

44.76

44 32 25. 23

26.64

27.07

43 29 26. 17

27.14

42 16 50. 70

52. 05

52.48

30 41 34. 02

34.76

28 43 34. 09

35.11

35.42

35.84

36.53

<52

O ' /'

42 32 14.26

15.48

15.86

29 51 06. 64

07. 24

08.21

08.51

08.88

09.54

38 41 47. 80

48.56

49.76

50.14

54 37 13. 33

14.45

49 59 39. 26

40.74

41.21

48 23 23. 04

24.10

29 47. 22. 28

23.32

23.61

31 11 05.88

06.62

32 51 46. 13

47.26

47.62

43 47 43. 35

44.34

46 11 42. 34

43.82

44.29

44.97

46.01

4(*i+&>

o / a

37 15 44. 46

45.58

45.90

37 13 12. 35

13.04

14.17

14.53

15.00

15. 79

37 13 06. 26

06.98

08.15

08.51

37 23 16. 09

16.90

37 25 19. 83

21.01

21.36

37 18 33. 58

34. 43

37 09 53. 75

54.98

55.34

37 20 16. 02

16.88

37 34 18. 41

. 19. 65

20.05

37 14 38. 68

39.55

37 27 38. 21

39.46

39.85

40.40

41.27

. t(Zi-Zt)

Micrometer.

/ ;/

+ 6 13.33

+ 6 18. 13

+ 6 21.80

+ 8 51. 83

+ 8 51. 83

+ 8 46. 57

+ 8 46.45

f 8 47. 83

+ 8 48. 22

+ 8 59. 50

+ 8 59. 01

+ 8 59. 66

+ 8 57.84

- 1 12.40

- 1 13. 25

 3 14. 44

 3 15.24

 3 18.47

+ 3 29.46

+ 3 29. 58

+ 12 12.00

+12 0«. 86

+ 12 08.80

+ 1 42. 81

+ 1 47.54

-12 15.06

-12 13. 28

 12 18.28

+ 7 24. 64

+ 7 25.97

- 5 27. 97

 5 34.40

- 5 33. 71

 5 35. 57

- 5 36. 25

Level.

a

+3.72

+0.73

-3.83

+0.21

+ 1.47

+0.10

+3.56

+0.05

-0.10

-1.47

-3.14

-2.46

-3.46

 1.31

+1.05

-1.47

-2.36

+ 0.47

-0.47

+0.31

-1.41

+3.14

-0.10

+4.14

-0. 68

 0.05

-1.78

+2.78

 0.79

'-2.41

 5.97

-2. 31

-2.57

 0. 58

+0.21

Correction 

for 

refraction.

»

+ 0.10

+ 0.10

+0.10

+0.15

+0.15

+0.15

+0.15

°+0. 15

+0/15

+0.15

+0.15

+0.15

+0.15

 0.02

-0.02

 0.05

-0.05

-0.05

+0.06

+0.06

+0.21

+0.21

+0.21

+0.03

+0.03

-0.21

 0.21

 0.21

+0.13

+0.13

-0.09

-0.09

-0.09

 0.09

-0.09

4>

o / //

37 22 01. 61

04. 54

03.97

04.54

06.49

00.99

04.69

03.03

04. 06

04.44

03.00

05.50

03.04

02.36

04.68

03.87

03.36

03. 31

02. 63

04.38

04.55

05.19

04.25

03.00

03.77

03.09

04.38

04.34

02.66

03.24

04.18

02.66

03.48

04. 16

05.14

(196)
WOODWARD. ] DETAILS OF LATITUDE WOEK. 25

TABLE I. Details of latitude work: Station, Fort Scott.

Date.

1884.

Oct. 16

16

28

10

27

29

1C

27

28

10

28

29

16

31

28

29

16

27

31

16

27

31

28

16

27

28

31

16

24

27

31

16

24

27

30

31

27

31

16

27

30

31

28

30

27

31

23

27

31

Star

numbers.

1000 1076

1170 1174

1170 1174

1183 1202

1183 1202

1203 1217

1212 12i3

1212 1223

1212 1223

1241 1251

1252 1257

1252 1257

1259 1264

1259 1264

1261 1274

1261 1274

1270 1286

51270? 100<,C 127U 1J8bi

}gg 1286J

1296 1314

1296 1314

1296 1314

1302 1312

1320 1326

1320 1326

1320 1326

1320 1326

1339 1350

1339 1350

i3;;g 1350

1339 1350

1359 1372

1359 1370

1359 1370

1359 1370

1359 1370

1386 1410

1386 1410

1424 1438

1424 1438

1424 1438

1424 1438

1450 1464

1450 1464

1460 1464

1460 1464

1493 1514

1500 1502

1500 J50-'

24 29 15. 45

34 51 48.83

49. 02

31 10 36. 87

37. 06

41 18 42.37

30 J8 21.64

21.88

21.84

54 04 56. 34

56 27 06. 09

06.11

47 04 42. 34

43.11

45 42 38. 68

38.67

38 11 23. 95

24. 67 ( 

14.31

24. 66) 

14. 29;

23 22 35. 88

36.23

36.12

8 54 10. 16

3 08 23.' 34

23.75

23. 73

23.65

8 48 21. 00

21.39

21.37

21.26

0 40 14. 27

15.38

15.65

15.79

15.86

29 38 38. 39

38.40

28 24 36. 30

37.12

37.15

. 37.17

56 16 24.00

24.26

36 28 32. 57

32. 99

H 59 19.31

9 38 28. 77

28.75

62

51 31 01.19

40 42 30. 9J

31.25

44 52 34. 59

35.08

33 57 28. 76

45 09 51.30

51.90

51.87

21 53 12. 06

18 53 17. 95

17.88

28 38 34. 45

34. 71

29 44 47. 42

47.42

37 33 38. 36

39.05

39.03

52 24 18. 54

19.79

19.94

27 06 47. 72

2 27 28. 53

29.82

29.87

30.00

6 58 29. 38

30.61

. 30. 91

31.17

5 03 29. 92

07 17. 22

17.27

17.24

17.22

6 03 02. 95

03.18

7 22 34. 86

36. 42

36.64

36.72

9 23 32. 16

32.13

9 23 32. 14

32. 50

1 43 08.08

6 02 06. 10

0(i. GO

38 00 08. 32

37 47 09. 88

10. 13

38 01 35. 73

36.07

37 38 05. 56

37 44 00. 47

06.89

00.85

37 59 04. 20

37 40 12. 02

11.99

37 51 38. 39

38.91

37 43 43. 05

43.04

37 52 31. 15

29.27

29.25

37 53 27. 21

28.01

28.03

8 00 28. 94

7 47 55. 93

56.78

56.80

56.82

7 53 25. 22

26.00

26. 14

26.21

7 51 52. 09

7 53 46. 30

46.46

46.51

46.54

7 50 50. 67

50.79

7 53 35. 58

36.77

36.89

36.94

7 49 58.11

58.19

7 56 02. 35

02.74

7 51 13. C8

7 50 17.43

17.67

»<*.-

Micrometer.

 9 44. 52

+ 3 13.59

+ 3 18. 96

 11 09.25

-11 10. 78

+ 12 20.83

+ 6 21. 88

+ 6 19.34

' + 6 22. 45

- 8 40. 07

+ 10 16.41

+10 14. 92

- 1 14.46

 1 13.98

+ 6 43. 00

+ 6 41.31

- 2 04. 29

 2 01. 67

 2 03. 00

 3 04. 10

 3 04. 18

 3 00. 83

-10 02. 60

+ 2 30. 46

+ 2 29. 41

+ 2 28. 81

+ 2 29. 33

- 3 00. 38

 3 01. 15

 2 59.25

- 3 01. 88

 1 27. 02

 3 20. 17

 3 24. 29

 3 2'J. 71

 3 20. 29

 0 23. 18

 0 26.01

 3 05.99

 3 12.38

 3 11. 17

 3 08. 82

+ 0 26. 53

+ 0 27. 86

 5 37.91

 5 36. 38

 0 45. 75

+ 0 10.01

+ 0 10. 10

*)

Level.

+1.41

+ 1.83

-3.77

-1.15

+0.26

-0.58

 2.04

 0. 58

 2. 57

--0. 21

-0.31

-0.68

 0.10

-0.21

-1.73

+1.31

 0.63

 0.21

+0.26

+1.99

+1.73

 2. 31

 0. 42

 0.52

-0.10

+0.42

 0.52

+0.89

+0.58

-0.42

+1.21

+0.31

+1.36

+0.05

+ 1.15

 0.79

-1.78

+0.31

 2.20

+ 1.00

-0.68

-2.10

+3.83

+0.37

+1.73

+ 1.31

-0.37

 2.67

 3.20

Correc 

tion

for 

refraction.

-0. 17

+0.05

+0.05

-0.19

-0.19

+0.20

+0.11

+0.11

+0.11

 0. 15

+0.17

+0.17

-0.02

-0.02

+0.12

+0.12

 0.03

 0.03

 0.03

-0.05

 0.05

 0. 05

-0.17

+0. 04

+0. 04

+0.04

+0.04

 0. 05

 0.05

 0. 05

 0.05

 0. 03

-0.00

-0.00

-0.08

-0. 06

 0.01

-0.01

 0. 05

-0.05

-0.05

 0.05

 0.01

 0. 01

 0.09

 0.09

 0.01

0.00

0.00

*

o / n 

37 50 25. 04

25.35

25. 37

25.14

25.36

26.01

26.42

25. 76

26.84

23.77

28.29

26.40

23.81

24.70

24.44

25.78

26.20

27.36

26.48

25.05

25.51

24.84

25.75

25. 9 L

25.13

' 26. 07

25.67

25.68

25.38

26.42

25.49

25.35

27.43

22.16

24.89

25. 40

25.70

25.08

27.34

25.34

24.99

25. 97

28.46

' 26.41

26.08

27. 58

27.55

24.77

24.57

(197)
26 LATITUDES AND LONGITUDES. [BULL.49. 

TABLE I. Details of latitude work: Station, Fort Scott Continued.

Date.

1884.

Oct. 16

28

28

16

31

27

31

16

27

28

30

31

28

16

31

16

27

28

30

16

28

16

28

16

27

31

28

30

16

27

28

31

16

31

16

28

31

16

28

28

Star 

numbers.

1534. 1541

1535 1539

1543 1562

1558 1559

1558 1559

15G3 1576

1563 1576

1579 1598

1579 1598

1579 1598

1579 1598

1579 1598

1604 1621

1608 1619

1608 1619

1636 1647

1636 1647

1645 1658

1645 1658

1668 1687

1668 1687

1703 1707

1703 1707

1718 1727

1718 1727

1718 1727

1723 1735

1725 1743

1744 1752

1744 1752

1744 1752

1744 1752

1762 1782

1762 1782

1792 1801

1800 1814

1800 1814

1815 1827

1833 1853

1857 1887

<5i

O ' II

r>\ 55 00. 61

29 51 11.81

j5 17 51.10

39 40 03. 34

05.34

48 04 27. 43

27.91

49 25 50. 99

53.13

53.29

53.53

53.66

45 54 09. 28

52 35 48. 91

51.89

31 45 22. 77

24.20

57 55 08. 55

08.90

57 25 46. 64

49.58

49 48 07. 01

09.70

57 53 38. 05

40.97

41.80

28 23 22. 04

28 27 29. 16

38 02 42. 64

44.61

44.75

45.12

56 08 44. 33

48.13

26 37 20. 69

28 41 21. 08

21.32

47 39 22. 01

50 56 50. 93

53 35 23. 57

«2

O / :/

3 59 52. 72

45 36 52. 97

20 09 20. 85

35 44 29. 52

31.26

27 27 46.21

46.38

26 13 48.02

49.11

49.17

49.24

49.28

29 47 27. 33

23 06 49. 51

50.60

43 26 25. 82

27.87

17 45 57. 44

57.45

18 29 '01. 91

02.72

26 16 54. 81

56.13

17 34 28. 25

29.01

29.08

47 30 53. 01

47 18 37. 12

37 20 00. 53

02. 47

02.61

02.97

19 39 44. 55

45.59

48 43 25.13

47 14 08. 92

09.44

28 05 37. 40

2-1 40 28. 11

22 06 43. 24

4(«i + 8«)

0 / II

37 57 26. 66

37 43 62, 39

37 43 35. 97

37 45 16. 43

18.30

37 46 06. 82

07.14

37 49 49. 50

51. 12

51.23

51.38

51.47

37 50 48. 30

37 51 19. 21

21.24

37 35 54. 29

50.03

37 50 32.99

33.18

37 57 24. 27

26.15

38 02 30. 91

32.91

37 44 03. 15

04.99

05.44

37 57 07. 52

37 53 03. 14

37 41 21. 58

23.54

23.68

24.04

37 54 14.44

16.86

37 40 22. 91

37 57 45. 00

45.38

37 52 29.70

37 48 39. 52

37 51 03. 40

J(Z,-Z»)

Micrometer.

/ //

- 7 03. 60

+ 6 28.79

+ 6 48. 54

+ 5 07. 63

+ 5 07. 74

+ 4 17.55

+ 4 17. 72

+ 0 38. 20

+ 0 33.31

+ 0 37. 55

+ 0 32. 31

+ 0 34. 89

 0 24. 19

 0 53.95

 0 56.05

+ 14 32.52

+ 14 32.14

 0 05. 77

 0 05. 25

 7 01. 75

 7 03. 12

 12 05.14

 12 14.09

+ 6 23. 98

+ 6 17. 00

+ 6 21. 16

 6 38. 16

 2 40. 96

+ 9 04. 90

+ 9 00. 95

+ 9 04. 34

+ 9 05.31

- 3 46. 21

 3 47.35

+10 02.37

- 7 18. 42

 7 23. 92

 2 00. 94

+ 1 44. 67

 0 37.47

Level.

+ 1.89

 3.77

+0.58

+ 1.15

 0.79

+ 1.41

+0.94

-1.52

+2.46

 0.52

+1.99

+0.84

+0.37

+ 0.37

+0.58

 0.68

-6.08

 1.31

 2.20

 1. 15

+ 0.79

+ 0. 32

+ 9.38

 2.04

+ 2.46

+ 0.79

-4.51

+2.46

+0.37

+ 1.94

-0.47

+0.73

-2.04

 0.63

+0.42

-0.58

+2.31

 2.36

+1.31

 0.16

Correction 

for 

refraction.

7/

-0.12

+0.11

+0.11

+ 0.09

+0.09

+ 0.07

+0.07

+0.01

+ 0.01

+0.01

+ 0.01

+0.01

-0.01

-0.02

-0. 02

+ 0.24

+0.24

0.00

0.00

 0. 12

-0.12

-0.20

-0.20

+0. 11

+ 0.11

+ 0.11

-0. 11

 0.04

+ 0.15

+ 0.15

+ 0.15

+ 0.15

-0.06

-0.06

+0.17

-0.12

-0.12

-0.03

+ 0.03

 0.01

*

o / //

37 50 24. 83

27.52

25. 20

25.30

25.34

25.85

25.87

26.19

26.90

28.27

25.69

27.21

24.47

25.61

25. 75

26.37

22.33

25.91

25.73

21.25

23.70

25.89

28.00

25.20

24.56

27. 50

24.74

24.60

27.00

26. 58

27.70

30. 23

26.13

28.82

25. 87

25.88

23.65

26.37

25.53

25.76

(198)
WOODWAKD.] DETAILS OF LATITUDE WORK. 27

TABLE I. Details of latitude work: Station, North Springfield.

Date.

1881.

Nov. 8

8

9

10

8

9

10

8

9

10

.1°

8

9

8

9

10

8

9

10

8

9

10

8

9

10

8

9

10

8

9

10

8

9

10

8

9

10

8

9

10

12

8

9

12

8

10

12

9

8

9

Star 

numbers.

1396 1410

1425 1454

1425 1454

1425 145J

1461 1465

1461 1465

1461 1465

1493 1498

1493 1498

1493 1498

1522 1528

1525 1539

1525 1539

1541 1546

1541 1546

1541 1546

1562 1575

1562 1575

1562 1575

1579 1583

1579 1583

1579 1583

1589 1598

1589 1598

1589 1598

1609 1621

1609 1621

1609 1621

1633 1640

1633 1640

1636 1640

1650 1656

1650 1656

1650 1656

1675 1682

1675 1682

1675 1682

1695 1697

1695 1697

1695 1697

1695 1697

1702 1705

1702 1705

1702 1705

1744 1747

1744 1747

1744 1747

1780 1804

1788 1803

1788 1803

a,

o / n

28 15 38.28

46 40 51.06

51.10

51.11

37 10 53. 35

53.39

53.40

31 59 19. 99

20.01

20.02

44 24 47. 54

28 42 42. 31

42.34

23 59 54. 13

54.16

54.15

20 09 21. 23

21.26

21.24

49 25 54.91

55.03

55.13

48 40 27. 02

27.15

27.23

44 32 34. 12

34.23

34.33

31 54 09.27

09.36

31 45 25. 42

30 41 38. 58-

38.66

38.70

46 11 52. 24

52.39

52.52

52 05 54. 56

54.73

54.89

55.16

24 30 17. 71

17.77

17.84

38 02 46. 38

46.62

46.80

53 29 23. 04

53 34 19. 39

19.60

<52

o / //

46 03 03. Si

28 02 35. 59

35.59

35. 55

37 11 50.01

50.03

50.05

42 32 21. 41

21.46

21.50

29 37 27. 54

45 36 55. 99

56.06

50 04 23. 98

24.10

24.16

54 37 20. 77

20.90

20.08

24 51 05. 10

05.14

05.14

26 13 47. 64

47.69

47.71

29 47 28. 24

28.31

28.36

42 16 59. 39

59.51

59.60

43 47 50. 07

50.20

50.31

28 12 19. 63

19.71

19.76

22 00 39. 27

39.32

39.36

39.36

49 53 35. 85

36.02

36.43

36 09 01. 89

02.12

02.28

20 48 33. 20

20 37 54. 02

54.08

4(«i+««)

o / //

37 09 21.06

37 21 43. 33

43.34

43.33

37 11 21. 68

21.71

21.72

37 15 50. 70

50.73

50.76

37 01 07. 54

37 0949.15

49.20

37 02 09. 05

09.13

09.15

37 23 21. 00

21.08

21.12

37 08 30. 00

30.08

30.13

37 27 07. 33

07.42

07.47

37 10 01. 18

01.27

01.34

37 05 34. 33

34.43

37 01 12. 51

37 14 44. 33

44.43

44.51

37 12 05. 93

06.05

06.14

37 03 16. 91

17.02

17.12

17.26

37 11 56. 78

56.90

57.14

37 05 54. 13

54.37

54.54

37 08 58. 12

37 06 06. 70

06.84

MI-&)

Micrometer.

/ ;/

+ 3 53.97

 - 8 25.45

 8 31. 02

 8 30.50

+ 1 54. 64

+ 1 55. 57

+ 1 54.44

 2 32. 24

 2 36. 64

 2 31. 03

+12 06. 13

+ 3 27. 08

+ 3 26. 83

+11 07.82

+11 06.28

+11 06.61

 10 04. 02

-10 08. 02

 10 04. 27

+ 4 44. 56

+ 4 47. 59

+ 4 47. 03

-13 52. 05

-13 52. 74

-13 53. 66

+ 3 15. 69

+ 3 15. 41

+ 3 14. 56

+ 7 42. 17

+ 7 43.25

+ 12 03.67

 1 26. 09

 1 29. 00

 1 30.21

+ 1 09. 62

+ 1 09. 54

+ 1 09. 37

+ 9 59. 10

+ 9 57. 49

+ 9 59. 34

+ 9 57. 60

+ 1 16.36

+ 1 19.19

+ 1 22.14

+ 7 19.75

+ 7 21. 12

+ 7 22. 09

+ 4 20. 14

+ 7 06.39

+ 7 09. 17

Level.

+0.58

 4.09

+3.30

+0.73

,+0.84

-1.26

+ 1.26

-3.20

+0.73

-2.99

+3.77

-0.21

+0.10-

-0.58

+1.05

-0.63

-1.36

+0.58

-0.94

+ 0.63

-3. 20

 1.99

-0.31

+1.05

+1.26

 0.31

-L10

-0.21

-0. 21

 2.46

+2.10

 1.62

+0.94

+ 1.41

+ 0.42

+1.05

+ 0.37

+ 0.21

+ 0.42

+0.84

+0.94

+1. 68

-0.42

-0.79

+0.84

+0.16

-1.99

-1.10

+ 1.99

-1.15

Correction 

for 

refraction.

,,

+0.07

-0.14

-0.14

 0. 14

+0.03

+ 0.03

+0.03

-0.04

-0.04

-0.04

+0.20

+0.06

+0.06

+ 0.19

+0.19

+0.19

-0.17

-0-17

-0.17

+0.08

+ 0.08

+0.08

 0.24

 0.24

 0.24

+0.06

+0.06

+0.06

+ 0.13

+0.13

+0.20

-0.03

 0.03

 0. 03

+ 0.02

+ 0.02

+ 0.02

+ 0.18

+0.38

+0.18

+ 0.18

+0.02

+0.02

+0.02

+0.12

+0.12

+0.12

+0.08

+ 0.13

+ 0.13

e 

*

0 / //

37 13 15. 68

13.65

15.48

13.42

17.19

16.05

17.45

15.22

14.78

16.70

17.64

16.08

 16. 19

16.48

16.65

15.32

15.45

13.47

15.74

15.27

14.55

15.25

14.73

15.49

14.83

16 62

15.64

15.75

16?42

15.35

18.48

16. 59

16.34

15.68

15.99

16.66

15.90

16.40

15.11

17.48

15.98

14.84

15.69

18.51

14.84

15.77

14.76

17. 24

15.21

1190

(199)
28 LATITUDES AND LONGITUDES. [BULL. 49. 

TABEL I. Details of latitude work: Station, North Springfield Continued.

Date. *

1884.

Nov. 12

10

8

9

10

9

10

12

8

9

10

12

8

9

10

10

12

8

9

10

12

8

9

12

8

9

12

8

. 9

12

8

12

Star 

numbers.

1788 1803

1789 1803

1808 1825

1808 1825

1808 1825

1837 1845

1837 1815

1837 1841

1851 1857

1851 1857

1851 1857

1856 1869

1867 1871

1867 1871

1867 1871

1888 1890

1888 1890

1903 1920

1903 1920

1903 1920

1903 1920

1950 1957

1950 1957

1950 1957

1976 1990

1976 1990

1976 1990

2003 2007

2003 2007

2003 2007

2009 2010

2009 2010

ii

0

o ' //

53 34 20. 16

53 32 15. 88

24 00 01. 54

01.63

01.69

48 03 25. 92

26.11

48 03 26. 43

20 37 51. 41

51.50

51.54

31 11 18. 53

54 21 27. 55

27.81

28.03

44 43 38. 34

38.66

28 08 17. 55

17.67

17. 77

17.91

39 59 43. 88

44.08

44.54

54 34 45. 31

45.54

46.08

20 30 01. 01

01.10

01.23

324347.50

48.01

«2

o / //

20 37 54. 16

20 37 54. 12

50 20 35.40

35.62

35.80

26 22 43. 77

43.86

26 35 15.23

53 35 26.20

26.44

26.55

43 19 52. 62

20 07 42. 72

42. 80

42.85

29 27 21. 87

22.02

46 24 54. 58

54.80

55.01

55.36

34 39 58. 33

58.50

58.87

20 14 46. 04

46.13

46.24

53 55 56. 91

57.10

57.60

414640.95

41. 66

l(S,+«2)

o / ii

37 OR 07. 16

37 05 05'. 00

37 10 18. 47

18.62

18.74

37 13 04.84

04.98

37 39 20.83

37 06 38. 80

38.97

39.04

37 15 35. 57

37 14 35. 14

35.30

35.44

37 05 30. 10

30.34

37 16 36. 07

36.24

36.39

36.63

37 19 51. 10

51.29

51.71

^7 24 45. 67

45.83

46.16

37 12 58. 96

59.10

59 41

37 15 14.22

14.83

J(Z,-Z2)

Micrometer.

; ii

+ 1 07. 31

+ 8 10. 31

+ 2 58. 29

+ 3 02. 48

+ 2 58. 04

+ 0 10. 66

+ 0 10. 26

 6 03. 27

+ 6 36. 94

+ 6 36. 23

+ 6 39. 77

 2 20 73

 1 21. 57

 1 21. 25

 1 16. 64

+ 7 47. 09

+ 7 45. 79

 3 22. 88

 3 22. 35

 3 20. 70

 3 22. 15

 6 37. 19

 6 36. 31

- 6 32. 46

 11 27. 57

 11 29. 14

-11 28. 05

+ 0 18.09

+ 0 17.97

+ 0 16.44

- 1 57.23

 1 59.J93

Level.

+1.57

-0.05

-0.10

 4.40

-0.31

-1. 21

+ 0.05

+0.16

+1.41

+ 1.68

 2.25

+1.83

+2.52

+0.84

-3.30

 1.78

-1.36

+0.37

+1.73

-0.68

+1.57

+2.62

+2.31

 2.36

-0.05

0.00

 1.62

-1.94

+0.94

+0.42

-0.52

+ 0.63

Correction 

for 

refraction.

+0. 13

+0.13

+0.05

+0.05

+0.05

0.00

0.00

-0.10

+0.12

+0.12

+0. 12

 0.04

-0.02

-0.02

 0. 02

+0.13

+0.13

 0.06

-0.06

 0.06

 0.06

-0.11

-0.11

-0. 11

 0.20

 0.20

 0.20

0.00

0.00

0.00

-0.03

 0.03

«/>

O / II

37 13 16. 17

15.39

16.71

16.75

16.52

14.29

15.29

17.62

17.27

17.00

16.68

16.63

16.07

14.87

15.48

15.54

14.90

13.50

15.56

14.95

15.99

16.42

17.18

16.78

17.85

16.49

16.29

16.11

18.01

16.27

16.44

15.50

(200)
WOODWAUD.] DETAILS OF LATITUDE WORK. 29

TABLE I. Details of latitiide ivork: Siation, Bolivar.

Date.

188*.

Dec. 3

3

3

3

3

4

3

1

3

3

1

1

1

1

1

3

Nov. 26

Dec. 3

Nov. 2G

Dec. 3

1

2

7

Nov. 26

Dec. 1

2

3

7

7

1

2

3

7

1

2

Star 

numbers.

1386 1410

1431 1446

1500 1502

1623 1633

1640 1652

1640 1652

1069 1675

1683 1702

1683 1702

1707 1716

1723 1743

1764 1782

1792 1801

1812 1821

1850 1867

1850 1867

1879 1885

1883 1888

1937 1957

1937 1957

1955 1962

1955 1962

1955 1902

1976 1990

1976 1990

1976 1990

1976 1990

1983 1996

2013 2018

(')

(')

(')

(')

(2 )

(2 )

<5,

o / '/

29 38 37. 66

24 47 15.70

19 38 28. 03

43 29 33.81

42 17 00. 71

00.74

28 43 40. 69

50 59 16. 55

16.72

26 16 59. 85

28 23 23. 77

56 00 31. 54

26 37 23. 99

51 42 36. 67

20 47 03. 57

03.62

54 32 27. 32

30 48 53. 53

40 49 55. 83

56.49

25 09 56. 40

50.44

56.72

54 34 46. 51

47.30

47.50

47.69

29 01 10.38

7 41 62. 60

48 44 31.69

31.86

32. 03

32.67

39 40 32. 18

32.31

<i2

o / //

46 03 OX 19

50 15 88.70

56 02 08. 69

31 54 09. 73

32 51 43. 74

43.76

46 11 64. 34

24 30 21. 24

21.30

49 14 04. 94

47 18 41.44

19 39 46. 25

48 43 33.31

23 38 36. 55

54 21 31. 54

31.86

20 25 28. 10

44 43 41. 30

34 40 00. 30

00. 81)

50 06 40. 46

40.63

41.49

20 14 46. 60

46.55

40.59

46.62

46 32 08. 55

57 52 40. 70

26 47 09. 06

09. U

09.16

09.34

35 27 29. 92

30.02

£(Si+<52)

O ' //

37 50 50. 42

37 31 27. 20

37 50 18. 36

37 41 51.77

37 34 ,22. 22

22. 25

37 27 47. 51

37 44 48. 89

49.01

37 45 32. 39

37 51 02.60

37 5008.89

37 40 28. 65

37 40 36.61

37 34 17. 55

17.74

37 28 57. 71

37 46 17. 44

37 44 58. 06

58. 64

37 38 18- 43

18.53

19.10

37 24 40. 55

46.92

47.04

47. 15

7 46 39. 46

37 47 21. 65

37 45 50. 37

50.48

50.59

51. 00

37 34 01. 0.5

01.16

4(2,-^)

Micrometer.

; ii

-14 ]4.68

+ 5 07. 71

 13 44.31

 5 16. 47

+ 2 08. 57

+ 2 08. 09

+ 8 48. 30

 8 09. 42

 8 10.19

 9 03.45

 14 31. 90

--13 34.45

 3 52. 19

 3 58. 32

+ 2 .18. 91

+ 2 19. 44

+ 7 36. 75

- 9 42. 87

 8 23. 56

- 8 19. 88

- 1 44. 18

 1 46. 97

 1 44.02

+11 47. 03

+11 49. 06

+ 11 44.21

+ 11 48.53

 10 04.02

 10 47. 35

 9 16. 81

 9 20. 38

 9 14. 24

- 9 14. 68

+ 2 32. 96

+ 2 31.87

Level.

 1.00

 1.05

+ 1.78

+0.79

-0.10

+ 1.99

 0.79

 1.47

 1.78

+8.70

+ 1.68

+ 1.05

 0.47

-2.78

-1.73

-0.84

+ 1.36

+0.26

+ 1. 52

-1.57

+0. 84 .

+4.51

+0. 37

+ 1.83

-1.52

+ 3.77

-0.16

+0.52

+0.84

+1.57

+4. 77

 1.83

 0.20

+ 1.57

+2.10

Coriection 

for 

ro fraction.

,,

-0. 24

+ 0.09

-0. 25

-0.09

+ 0.03

+0.03

+0.15

-0.15

-0.15

-0.16

-0.25

-0."23

 0.07

-0.07

+0.03

+0.03

+0.14

-0.16

-0.14

-0.14

-0.03

-0.03

-0.03

+0.21

+0.21

+0.21'

+0.21

 0.17

 0. 18

 0.16

 0.16

-0.16

-0. 16

+0.04

+0. 04

<*>

0 / II

37 36 34. 50

33. 95

35.58

36.00

30.72

32.36

35.23

37.85

36.89

37.48

32.13

35.20

35.92

35.44

34.76

36.37

35.96

34.67

35.88

37.05

35.06

36.04

35.42

35. 62

34.67

35.23

35.73

35.79

34.96

34.97

34.71

34.36

35.90

35.62

35.17

1 9 Persei, 41 Arietis. 2 e Persei, £ Persei.
30 LATITUDES AND LONGITUDES. [BULL. 49.

TABLE I. Details of latitude work: Station, Albuquerque.

<

Date.

1885. 

 June 25

25

25

30

25

30

25

30

25

25

30

25

July 9

June 30

July 9

June 25

30

July 5

9

12

June 25

July 3

5

9

12

June 25

27

July 3

5

9

10

12

3

5

9

12

3

5

9

10

12

3

6

5

9

12

 3

5

6

11

3

Star 

numbers.

287 291

296 3C6

320 327

320 327

346 348

346 348

378 388

378 388

399 401

426 438

426 438

456 468'

456 468

479 494

479 494

508 519

508 519

508 519

508 519

508 519

524 527

524 527

524 527

524 527

524 527

549 508

549 568

549 568

549 568

549 568

549 563

549 568

596 619

596 619

596 619

596 619

639 641

639 641

639 641

639 641

639 641

643 652

643 652

646 670

646 670

646 670

683 690

683 690

683 690

689 703

705 710

«i

o / " 

19 44 44. 94

22 46 06. 06

27 01 09. 68

10. 25

22 30 12. 29

12.88

30 02 10.73

11.46

44 24 39. 53

50 05 02. 92

03.84

26 25 24. 34

26.80

33 39 14. 86

16.74

23 24 42. 74

43. 57

44.56

45.31

45.70

32 36 18.38

20.04

20.48

21.35

21.83

30 44 37. 10

37.53

38.73

39.20

40.11

40.29

40.58

25 55 11. 96

12.43

13.33

13.83

36 56 34. 93

35.48

36.56

36.79

. 37.20

37 24 58. 48

59.33

38 56 01.69

02.81

03.45

24 22 57.01

57.52

57.78

31 16 05. 44

19 17 46.80

Sz

0 1 /'

50 21 46.44

47 17 37. 51

42 52 04. 90

05.58

47 44 07 05

07.83

39 59 44. 77

45.59

25 30 16. 95

20 02 37. 13

37.80

43 28 37. 66

40.61

36 47 13. 24

15.22

46 35 28. 09

29.20

30.44

31.39

31.92

37 39 34. 88

36.61

37.11

38.04

38.54

39 08 42. 25

42.76

44.10

. 44. 65

45.64

45.84

46.21

43 58 22. 47

23.05

24.16

24.81

33 13 42. 03

42.57

43.62

43.85

44.23

32 37 12. 08

12.90

31 14 53. 32

54.39

55. 01

46 04 18. 59

19.22

19.53

38 55 54. 74

50 48 45. 23

i(«i+S=)

0 ' //

35 03 15. 69

35 01 51. 78

34 56 37. 28

37.92

35 07 09. 67

10.35

35 00 57. 75

58.52

34 57 28. 24

35 03 50. 02

50.82

34 57 01. 00

03.70

35 13 14. 05

15.98

35 00 05. 42

06.38

07. 50

08.35

08.81

35 07 56.63

58.32

58.79

59.69

60.18

34 56 39. 67

40.14

41.41

41.92

42.87

43.06

43.40

34 56 47. 21

47.74

48.74

, 49.32

35 05 08. 48

09.02

10.09

 10.32

10.71

35 01 05. 28

06.11

35 05 27. 50

28.60

29.23

35 13 37. 80

38.37

38.65

35 06 00. 09

35 03 16.01

-4(3i -Z*)

Micronieter.

+ 1 15.88

+ 2 40. 35

+ 7 54. 88

+ 7 54. 5-

- 2 39.75

- 2 37. 36

+ 3 32.41

+ 3 33. 54

+ 7 02. 07

+ 0 42. 16

+ 0 39. 41

+ 7 32. 87

+ 7 27. 55

 8 42. 62

- 8 44. 35

+ 4 25. 42

+ 4 26. 96

+ 4 27. 04

+ 4 27. 97

+ 4 24.41

 3 24.81

 3 26. 27

 3 28.73

 3 2& 45

 3 26. 19

+ 7 54. 52

+ 7 49. 52

+ 7 53. 15

f 7 54. 12

+ 7 49. 07

+ 7 48. 83

+ 7 49. 48

+ 7 44. 59

+ 7 45. 51

+ 7 45. 52

t- 7 42.17

 0 38. 56

 0 42. 08

- 0 43. 25

- 0 42. 04

 0 39. 33

+ 3 21. 50

+ 3 26. 71

 1 00. 57

- 0 55. 85

 0 58. 68

 9 06. 32

- 9 07. 57

 9 05. 91

 1 22. 74

+ 1 13.74

Level.

-! 1. 0.3

+ 1.41

-0.21

-0.89

+ 1,94

-1.78

+2.88

+ 0.52

-0.47

+ 0.21

+3.46

-1.62

+0.89

+0.63

+1.57

+2.57

 0.63

 2.57

 4.30

-1.78

-1.41

-1.00

+ 3.14

+ 1.78

 0.94

-3.14

+3.67

+ 1.05

 4.03

+0.84

+1. 89

-0.2G

+ 1.62

 0.42

 0.84

+2.10

+1.47

+4.98

+0.42

+4.35

+1.1:0

+3.56

C.OO

+4.40

-1.10

-1.05

 0.05

+0.68

 2.62

-1. 78

+2.41

Correction 

for 

retraction.

+0.02

+0.04

+0. 14

+0.14

-0.04

 0.04

+0.06

+0.06

'-j-0.12

+ 0.01

+0.01

+0.13

+0.13

 0.14

-0.14

+0.07

+0.07

.+0.07

+ 0.07

+0.07

-0.06

-0.06

-0.06

-0.06

 0.06

+0.13

+0.13

+0.13

+0.13

+0.13-

+0.13

+0. 13

+0.13

+0.13

+0:13

+0.13

'-0.01

'-0.01

2 -0.01

-0.01

2 -0. 01

+0.05

+0.05

-0.02

-0.02

 0.02

-0.16

-0.16

 0.16

 0.02

+0.02

*

Q / //

35 04 32. 64

33.58

32.09

31.69

31.82

 31.17

33.10

32.64

30.23

32.40

33.70

32. 38

32.27

31. 92

33.06

33.48

32.78

32.04

32.09

31.51

30.35

30.99

33.14

32.96

32.99

31.18

33.46

35.74

32.14

32.91

33.91

32.75

33.55

32.96

33.55

33.72

31.50

32.03

31.37

32.62

32.59

30.39

32.87

31.31

31.63

29.58

31.27

31.32

29.96

35.55

32.18

'Keduced to meridian, +0".27.

(202)

2 Reduced to meridian, +0".12.
WOODWAED.] DETAILS OF LATITUDE WORK. 31

TABLE I. Details of latitude work: Station, Albuquerque Continued.

Date.

1885. 

July 5

6

9

10

11

11

3

5

6

9

10

3

5

c

9

10

11

3

5

6

9

10

11

3

5

6

9

10

11

3

5

9

10 

11

3

5

3

5

0

10

11

3

5

9

11

3

5

9

11

3

5

11

Star 

numbers.

705 710

705 710

705 710

705 710

705 710

711 728

715 723

715 723

715 723

715 723

715 723

748 753

748 753

748 753

743 753

748 753

748 753

784 793

784 793

784 793

784 793

784 793

784 793

811 822

811 822

811 0822

811 822

811 822

819 832

834 841

834 841

834 841

834 841 

824 841

873 883

873 883

889 896

889 896

889 896

889 896

889 896

898 915

898 915

898 915

898 915

938 955

938 955

938 955

928 955

969 1002

969 1002

969 1002

Si

0 / "

19 17 47. 26

47.51

48.21

48.40

48.58

48 25 48. 75

40 02 02. 63

. 03. 24

03.56

04.46

04.73

31 22 51.59

52.16

52.47

53.32

53. 59

53.83

23 47 38. 60

39.13

39.40

40.22

40.46

40.69

52 05 29. 71

30.41

30.83

31.89

32.17

37 29 22. 35

33 14 00. 51

01.12

02.39

02.66 

02.94

31 34 38. 07

38.65

31 05 44. 97

45.35

46.61

46.91

47.17

21 02 07. 96

08.48

09.59

10.09

36 05 27. 86

28.48

29.83

36 13 45. 76

36 41 36. 02

36.67

38.65

6,

O ' ' //

50 43 45. 88

46. 21

47.18

47.47

47.74

21 36 03. 30

30 12 11. 27

11.81

12.11

12.94

13.19

38 44 44. 10

44.72

45.04

45.98

46.26

46.52

46 07 58. 07

58.75

59.10

08 00. 12

00.44

00.73

18 03 28. 34

28.83

29.08

29.85

30.07

32 41 06. 51

36 49 55. 58

56.20

57.53

57.83 

58. 11

38 44 59. 62

45 00. 27

38 57 06. 97

07.62

08.97

09.29

09.42

49 21 34.74

35.44

36. 91

37.59

34 12 44. 62

45. 22

46.55

34 12 47. 16

33 27 49. 90

50. 51

52.46

i(Si+«2 )

O / '/

35 03 16. 57

16.86

.17. 69

17.93

18.16

35 00 56. 02

35 07 06. 95

07.52

07.83

08.70

08.96

35 03 47. 84

48.44

48.75

49.65

49. 92

50.17

34 57 48. 33

48.94

49.25

50.17

50.45

50.71

35 04 29. 02

29.62

29. 95

30.87

31.12

35 05 14. 43

35 01 58. 04

58.66

59.96

60.24 

60.52

35 09 48. 84

49.46

35 01 25. 97

26.48

27.79

28.10

28.29

35 11 51. 35

51.96

53.25

53.84

35 09 06. 24

06.85

08.19

35 13 16.46

35 04 42. 96

43.59

45.55

4(Z,-2y

Micrometer.

+ 1 13.49

+ 1 17. 05

+ 1 17. 13

+ 1 13. 70

+ 1 14. 67

+ 3 36.04

 2 35. 18

 2 35. 18

- 2 34. 14

 2 37. 61 '

- 2 39.46

+ 0 42. 44

+ 0 44. 90

+ 0 42. 72

+ 0 41. 43

+ 0 40. 70

+ 0 42. 64

+ 6 42. 37

' + 6 43. 97

+ 6 42.44

+ 6 36. 22

+ 6 46. 63

+ 6 44. 63

+ 0 01.01

+ 0 03. 55

+ 0 01. 62

+ 0 02. 02

+ 0 03. 07

- 0 40. 87

+ 2 34. 66

+ 2 34. 14

+ 2 32. 96

+ 2 33. 89 

+ 2 31. 67

 5 16. 63

- 5 17. 72

+ 3 05. 51

+ 3 05.76

+ 3 03. 65

+ 3 04. 14

+ 3 03.90

- 7 18. 70

- 7 19. 63

 7 22. 22

 7 21. 13

 4 35. 16

 4 33. 75

 4 38. 02

 8 45. 85

 0 10. 30

 0 12.40

- 0 13. 41

Layel.

4-1.57

 1.15

-3.30

4-0.10

4-0.10

4-0.68

-0.10

-0.26

 1.15

4-2.10

4-5. 14

4-2.10

-1.36

4-0.47

4-0.63

+3.77

-0.89

4-2.78

4-0.16

4-0.63

+7.07

 3.35

-3.14

+2.93

0.00

-0.79

+3.83

-1.41

-1.94

-0.42

+0.10

 1.78

-1.31 

+1.47

-0.47

+0.84

+0.52

-1.47

+ 0.05

+0. 31

+0.47

+0.68

-0.84

+0.73

-0.89

+1.26

-1.21

+5.08

+2.10

+ 0.47

+ 0.26

 0.58

Correction 

for 

refraction.

+0.02

4-0.02

+0.02

+0.02

+0.02

+0.06

-0.04

-0.04

-0. 04

 0. 04

 0.04

+0.01

+0. 01

+0.01

+0.01

+ 0.01

+0.01

+0.12

+ 0.12

+0.12

+0. 12

+0.12

+0. 12

0.00

0.00

0.00

0.00

0.00

'-0.01

+ 0.04

+0.04

+0.04

+0.04 

'+0.04

-0.09

-0.09

2 4-0. 05

"+0.05

a+0.05

a+0. 05

+0.05

»-0. 13

3-0. 13

3 0. 13

3-0.13

-0.07

 0.07

-0.07

-0. 15

0.00

0.00

0.00

<£

o / n 

35 04 31. 65

32.78

31.54

31.75

32.95

32.80

31.63

32.04

32.50

33.15

34.60

32.39

31.99

31.95

31.72

34.40

31.' 93

33.60

33.19

32.44

33.58

33.85

32.32

32.96

33.17

30. 78

32. 68

32.78

31.73

32.32

32.94

31.18

32.86 

33.82

31. 65

32.49

32.20

30.97

31.69

32.75

32.71

33.27

31.43

31.70

31.76

32. 27

31.82

35.18

32.56

33.13

.31.45

31.56

1 Eednced to meridian, 4-0".12. 2 Eeduced to meridian. 4-0".15. 3 .Reduced to meridian, +0".

(203)
32 LATITUDES AND LONGITUDES. [BULL. 49.

(7) Combination of results for latitudes. In order to combine the 

separate results given in the preceding table so as to obtain the most 

probable value for the latitude of any station, we must determine the 

proper weight for the mean of the results for latitude from any one 

pair of stars. Suppose a pair has been observed on n different nights. 

Then, if e is the probable error of a single half difference of zenith distances of the stars and e\ and e% the probable errors of their declinations, respectively, the weight of the mean of the results from this pair 

will be proportional to

1

4 ' n

Values for ei and e2 in this expression are given by Safford in the introduction to his catalogue. They are 

Probable error of declination for star of class AA, 0".18 

Probable error of declination for star of class A, 0 .28 

Probable error of declination for star of class B, 0 .43 

Probable error of declination for star of class C, 0 7

A value for e was found by the process of comparing the individual 

results from any pair of stars with their mean. For this process the 

observations of 1884 furnished 314 measures on 113 pairs, this being 

the number of pairs, each of which was observed on more than one 

night. It was found that

e=±0".68.

Kounding this value of e and the above values of e\ and e2 to the nearest tenth of a second the following table of working weights has been 

constructed:

Table of u-eiyhts for latitude results.

No. of 

nights pair 

is observed.

1.... ........

2............

3............

4............

5............

6............

7............

Weights for combinations of classes.

AA 

and 

AA

0.98 

1.89 

2.72 

3.51 

4.24 

4.93 

5.56

A.A 

and 

A

0.96 

1.80 

2.55 

3.23 

3.83 

4.39 

4.S9

AA 

and 

B

0.93 

1.69 

2.34 

2.90 

3.38 

3.60 

4.17

AA 

and 

C

0.80 

1.32 

1.C9 

1.96 

2.17 

2.34 

2.47

A 

and 

A

0.93 

1.72 

2.40 

2.99 

3.50 

3.95 

4.35

A 

and 

B

0.90 

1.63 

2.21 

2.70 

3.12 

3.47 

3.77

A

and 

C

0. 79 

1.28 

1.62 

1.87 

2.06 

2. 21 

2.33

B 

and 

.B

0.88 

1.54 

2.05 

2.47 

2.81 

3.10 

3.33

B

and 

C

0.77 

1.23 

1.53 

1.75 

1.92 

2.05 

2.15

C 

and 

C

0.68 

1.02 

1.22 

1.36 

1.46 

1.53 

1.59

With the above weights the adopted values for the latitudes of the 

several stations have been derived. The individual and mean results 

for each pair and the weights for the means are collected in Table II.

'204)
WOODWARD.] EESULTS FOR LATITUDE.

TABLE II. Eesults for latitude : Station, Qswego, Earn.

33

Star nnrabers 

and class.

G72A G90A 

701AA . 7140 

721A 726C 

7320 739A 

7C1A 773B 

834 A A 8380 

8480 8580 

877B 885B 

927B 9400 

9740 977A 

9900 1002A 

1013A 10401 

]OC8B 1046B 

I075A 1090B 

111713 1131A 

1144 A -1157A 

1192 A 1202AA 

1212A 1233A 

1251A 12670 

1295B 1306A 

1313A 1336A 

1320A 1337C 

13470 1370 A 

13GOB 1373A 

1380A 1397AA 

14100 1424A 

1401 A 1465B 

1512B . 1535B 

1W8A 1610A 

1033B 1G40B 

1675C 1G82A 

1723 A 1728C 

1798B 1804 A 

1814A 1831A

Tndiviflual results.

Aug. 27.

0 / /'

37 09

59. 34 

58.63 

57.85 

57.36 

61.08 

59.85 

59.44 

58.80

01.51 

60.48 

58. 98 

59.79 

58.92

Aug. 28.

"

59.62 

61.01

GO. 87 , 

59.81 

57.79

60.03

02.88 

'58.36 

60.61 

61.68 

60. 08 

60.52 

60.38 

*;? >iQ

60.13

58.89 

58.88 

59.80 

58.92 

60.27 

58.60 

59.72 

59.42

60.82

CO. 53

Sept. 3.

59.59 

58. G8 

59.54

58. 9G 

58.91

61.01 

01.17 

59.26 

60.27

59.80 

58.20 

61.98

59.51 

59.90 

58.93

59.77

60.88

60.48- 

60.79 

58.22 

60.79 

60.05 

60. ] 9 

60.75

60 99

59.81

Sept. 4.

59.29 

58. G9 

CO. 59 

57.47 

59.61 

00.81 

01.27

58.38

GO. 03 

61.06 

58.63

59.98 

60.03 

60.45 

59. 39 

59.87 

CO. 70 

59.67

59.80

59.89 

60.93 

60.23 

60.31

Mean.

59.44 

58.68 

60.00 

57.47 

59.30 

59.49 

00.04 

57.87 

60.99 

60. 36 

59. 39 

59.23 

60.63 

01.04 

59.27 

60.50 

( 60. 29 

59.59 

00.37 

59.66 

57.59 

59.78 

60.13 

60.88 

59.75 

60.20 

59.42 

60.01 

CO. 16 

59. 39 

60.23 

59.42 

00.90 

60.17

"Weight.

1.8 

1.3 

1.3

0;8

2.2 

2.0 

1.2 

1.5 

L5 

1.9 

1.9 

2.5 

0.9 

2.8 

2.8 

3.1 

2.6 

3.1 

1.6 

2.2 

1.0 

1.3 

0.8 

0.9 

2.6 

1.0 

2.2 

2.1 

1.8 

1.5 

1.3 

0.8 

1.6 

1.8

Bull. 49-

Weig-hted mean, 37° OS)' 59".81±0".09.

(205)
34 LATITUDES AND LONGITUDES. [BULL.49. 

TABLE II Continued. Results for latitude: Station, Elk Falls, Kans.

Star numbers 

and class.

8480 8580 

8690 879B 

890B 912AA 

957A 970A 

977A 987A 

9960 1002A 

1013A 1022B 

1038B 1046B 

1123A 1133A 

11420 1168C 

1151B 1180 A 

1192A 1202AA 

1207A 1209A 

1211B 12290 

1225B 1235AA 

1251A 12670 

1294B 1299AA 

1295B 130GA 

1302B 1306A 

1312A 1332A 

 1313A 1336A 

13470 1370A 

1371B 1376A 

1373A 13900 

13920 1399B 

13920 1402B 

1396 B 14100 

1420C 1440A 

1423A 1444A 

14640 1480 B 

1473A H94B

1493 A 1498B 

1512B ' 1535B 

1559G 15650 

1562A 15750 

1583A 1602C 

1598 A 1611B 

16090 1621B 

1623B 1628A 

1640B 1G52A 

1650A 1056B 

1669A 16750

Indivielual results.

<M-P' 

PCE 02

O / '/

Al 22

...... ......

............

04.64

04.01 

01.66

04.54 

04.44

s

43

ft 

V

m

"

........

........

04.05

04.73

03.94

01.61 

.06. 49 

03. 00 .

03.87

04.55

03.09

01.18

O5 

IM"S

yj

a

'.'.".".'.' 

........

05.18

05.05

04.54 

00.99 

05.50

03.36

05.19

04.38

02.66

rH

43 

w*

O

</ 

03.76

04.62

02.67

03.04

04.38

03.87 

02.51 

04.27

Ot.18

01. CO

04.03

03.77

04.49

03.81

04.43

05.23

02.73

AT fll

03.97 

04. C!) 

03.04

03.31

04.25

04.34

03.48

 T 

~0

O

"

.......

02.04

0 9 Oft

03.14

02.58

n^t 7T

03.19

04.74

03.70

04.91

03.03

02.36

02.63

03.00

02.66

04.16

in

o 

0

//

........

02.05

03.57

03.32

03.87

03.97

.......

........

i>

+1

0

O

"

03.04 

02.97 

03.04 

04.51

04.03

........

........

.......

00 

O

O

"

........

00.90

03.18

01.06

04.68

04.38

03.77

03.24 

05.14

n

3 

S

03.76 

04. 62 

02.67

03.04 

04.38 

03.46 

02.74 

03.65 

01.51 

04.18 

02.04 

03.50 

01.60 

03.14 

03.04 

03.31 

03.54 

04.49 

03.73 

03.81 

03.25 

04.64 

04.60 

03.87 

03.00 

03.70

04.01 

03.78 

03.20 

03.83 

02.91

03. 37 

03. 97 

04. CO 

03.52 

03.51 

03.50 

04.66 

03.39 

03.94 

02.95 

03.92

"Weight.

0.7 

0.7 

1.0 

1.0 

1.0 

1.3 

1.6 

1.5 

1.0 

0.7 

0.9 

1.8 

1.0 

0.7 

1.7 

1.6 

1.0 

0.9 

0.9 

1.0 

1.8 

0.8 

2.8 

0.8 

1.5 

0.7 

0.7 

1.6 

2.5 

0.7 

1.6 

2.2 

3.1 

1.4 

1.3 

1.6 

1.6 

1.5 

1.6 

2,2 

1.6 

2.1

 Weighted mean, 37° 22' 03".04±0".07.

(206)
WOODWARD.] RESULTS FOR LATITUDE. 35 

TABLE II Continued. Results for latitude: Station, Fort Scott, Kans.

Star numbers and 

class. 

1060B 1076C 

1170A 11740 

1183A 1202AA 

12030" 1217B 

1212A 1223C 

1241A 1251A 

1252B . 12570 

1259A 12640 

3261A 1274 A 

12"VOAA 1286A 

]270AA>]28GA 1271A 5 12 GA

129GA 1314B

1302B 1312A 

1320A 1326C 

1339A 1350A 

135QA 1370A 

1359A 1372A 

13S6A 14100 

1424A 14380 

1450 B 14640 

14COA 14640 

1403A 1514B 

1500 A 1502B 

15340 1541A 

1535B 1539B 

1543B 1562A 

3558B 15590 

1563A 1576A 

1579A 1598A 

16040 1G21B 

1C08A 1619A 

1036A 16470 

1645B 1658A 

1668B 1687AA 

17030 1707 A 

1718A 1727B 

1723A 17350 

1725AA 17430 

1744A 1752A 

17620 1782A 

17920 1801B 

1800AA 1814A 

1815A 1827B 

1833B 1853 B 

1857A 1887B

Individual results.

Oct. 16.

0 ' '/

37 50 25.04 

25. 35 

25.14

26.42 

23.77

23.81

26.ro

25.05

25.91 

25.68

25. 35

27.34

^24.83

25.30

26.19

25.61 

26.37

21.25 

25.89 

25.20

27.00 

26.13 

25.87

26.37

Oct. 24

"

.......

25.38 

27.43

.......

Oct. 27.

'<

25.36

25.76

........

27. 36

25.51

25. 13 

26.42 

22.16

25.34 

26.08

24.77

25.85

26.90

22.23

24.56

26.58

Oct. 28.

n

25.37

26.84

28.29

24.44

26.07

28.46

27.55

27.52

25.20

28.27 

24.47

25.91 

23.70

28.00

24.74

27.70

25.88

9>i VI

25.76

Oct. 29.

»

26.01

20.40

25.78

........

........

Oct. 30.

" .

........

24.89

24.99 

26.41

25.69

25.73

24.60

Oct. 31.

"

24.70

26. 48 

24.84

25.67 

25.49 

25.40

25.08 

25.97

27.58

24.57

25.34 

25.87 

27.21

25.75

.......

27.50

30.23 

28.82

23.65

Mean.

25. 04 

25. 36 

25.25 

26.01 

26.34 

23.77 

27.34 

24.25 

25. 11 

2«.20

26.92

25.13 

25.75 

25.69 

25.74 

24.97 

25.35 

25.39 

25. 91 

27.43 

26.83 

27.55 

24.67 

24.83 

27.52 

25.20 

25.32 

25.80 

26.85 

24.47 

25.68 

24.35 

25.82 

22.47 

26.94 

25.75 

24.74 

24.60 

27.88 

27.47 

25.87 

24.76 

26.37 

25. 53

25.76

Weight.

0.7 

1.3 

1.8 

0.7 

1.6 

1.0 

1.2 

1.3 

1.8 

1.0

2.3

2.2 

0.9 

1.9 

3.1 

3.1 

1.0 

1.3 

1.9 

1.2 

1.3 

0.9 

1.6 

0.8 

0.9 

0.9 

1.2 

1.8 

3.5 

0.7 

1.8 

1.3 

1.6 

1.7 

1.3 

2.2 

0.8 

0.8 

3.1 

1.3 

0.7 

1.8 

0.9 

0.9 

0.9

Weighted mean, 37° 50' 25".76±0".ll.

(207)
36 LATITUDES AND LONGITUDES. [BULL. 49. 

TABLE II Continued. Results for latitude: Station, North Springfield, Mo.

Star numbers 

and class.

1396B 14100 

14250 1454B 

1461 A 1465B 

H93A 1498B 

1522B 1528A 

1525A 1539B 

1541A 15460 

1562A 15750 

1579A 1583A 

1589B 1598A 

16090 1621B 

1833B 1640B 

1636 A 1640 B 

1650A 1656B 

1675C 1682 A 

16950 16970 

1702A 17050 

1744 A 1747 A 

17800 1804A 

1788B 1803 A 

1789 A 1803 A 

1808A 1825A 

1837A 1845B 

1837A 184lA 

183] B 1857 A 

1856A 1869B 

1867 A 1871B 

1888B 1890A 

1903A 1920B 

1950 A 1957 A

1976C 1990AA

2003 B 2007C 

2009B 2010AA

Individual results.

Nov. 8.

o / // 

37 13 15.68 

13.65 

17.19 

15.22

16. 08 

16.48 

15.45 

15.27 

14.73 

16.62 

16.42

16.59 

15.99 

16. 40 

14.84 

14. 84

15.21

16. 71

17. 27

16.01

13.50 

16. 42 . 

17.85 

16.11 

16.44

Nov. 9.

"

15. 48 

16.05 

14.. 78

16.19 

16.65 

13.47 

14. 55 

15.49 

15.64 

15.35

16. 34 . 

16.66 

15.11 

15.69

17.24

14.99

16.75 

14.29

17.00

14.87

15.50 

17.18 

16.49 

18.01

'Nov. 10.

"

13.42 

17.45 

16.70 

17.64

15.32 

15.74

14.83 

15.75

18.48

15.68 

15.90 

17.48

15.77

15.39

16.52 

15.29

10.68

15.48 

15.54 

14.95

Nov. 12.

"

15.98 

18.51 

14.76

'16. 17

17.62

16.63

14.90 

15.99 

16.78 

16.29 

16.27 

15.50

Mean.

15.68 

14.18 

16.90 

15.57 

17.64 

16.13 

16.15 

14.89 

15. C2 

15.02 

16.00 

15.88 

18.48 

16.20 

16.18 

16.24 

16.35 

15.12 

17.24 

15.46 

15.39 

16.66 

14.79 

17.62 

16.98 

16.63 

15.47 

15.22 

15.00 

16.79 

16.88

16.80 

15.97

Weight.

0.7 

1.5 

2.2 

2.2 

0.9 

1.6 

1.6 

1.6 

2.5 

2.2 

1.5 

1.5 

0.9 

2.2 

1.6 

1.4 

1.6 

2.5 

0.8 

2.2 

1.0 

2.5 

1.6 

1.0 

2.2 

0.9 

2.2 

1.6 

2.8 

2.5 

1.7

1.5 

1.7

Weighted mean, 37° 13' 15".«tt±0".tO.

(208)
WOODWARD.] . RESULTS FOR LATITUDE.

TABLE II Continued. Results for latitude: Station, Bolivar, Mo.

37

Star numbers and class.

1386A 1410C 

1431A 144GB 

1500 A 1502B 

1623B 1633B 

1640B 1652A 

1669A 16750 

1G83B 1702A 

1707A 17160 

1723A 17430 

1764AA 1782A 

1792C 1801B 

1812C 1821A 

1850C 1867A 

1879B 1885B 

1883B 1888B 

1937B 1957A 

19550 1962A 

1976C 1990AA 

1983 A 19960 

2013A 20180

(*)

Individual results.

Nov. 26.

o ' a 

37 36

..............

35.96

35.88

35.62

Dec. 1.

»

37.85

32.13

35.26

35.92

35.44

34.76

35.06 

34.67

34. 97 

35.62

Dec. 2.

 '

........

........

36.04 

35.23

34.71 

35.17

Dec. 3.

34.50

35.58

36.00

30.72

3

K Oo

36.89 

37.48

36.37

34.67

37.05

35.73

34.36

Dec. 4.

"

32.36

........

Dec. 7.

»

........

35.42

35.79. 

34.96 

35.90

Mean.

34.50

35.58 

36.00 

31.54 

35.23 

37.37 

37.48 

32.13 

35.26 

35.92 

35.44 

35.56 

35.96 

34.67 

36.46 

35.51 

35.31 

35.79 

34.96 

34.98 

35.40

"Weight.

0.8 

0.9 

0.9 

0.9 

1.6 

0.8 

1.6 

0.8 

0.8 

1.0 

0.7 

0.8 

1.3 

0.9 

0.9 

1.6 

1.6 

2.0 

0.8 

0.8 

3.5 

1.9

1 9 Persei A A, 41 Arietis A A. 

s e Persei A A, f Persbi A A.

Weighted mean, 37° 36' 35".22±0".20.

(209)
38 LATITUDES AND LONGITUDES. [BULL.49. 

TABLE II Continued. Results for latitude: Station, Albuquerque, N. Mex.

Star numbers 

and class.

2S7A 291B 

296A 306C 

320 A 327 B 

346B 348C 

378A 388C 

399C 401B 

4260 438A 

456A 468B 

479A 494A 

508A 519A 

524 A 527 A 

549A 568A 

596 A 619B 

639A 641A 

643A 652A 

 6460 670B 

6830 690A 

689A 703G 

705B 710B 

711A 728A 

715A 723A 

748A 753A 

784A 7930 

811A 822A 

819A P32A 

834AA 841A 

873B 883C 

889 A 896 A 

898A 915A 

938A 935A 

928A 955A 

969 A 1002 A

Individual results.

in e-i

s> 

a

%

35 01 32. 64 

33.58 

32.09 

31.82 

33.10 

30.23 

32.40 

32.38

33.48 

30. 35 

31.18

............

............

\

............

...........

Juno 27.

33.46

......

......

......

......

......

June 30.

31.69

31.17

32.64

oq 7fl

D1 QO

32.78

......

......

......

,

......

CO

>5

13 

^

30.99 

35.74 

33.55 

31.50 

30.39

31.27

32.18

31.63 

32.39 

33.60 

32.96'

32.32 

31.65 

32.20 

33.27 

32.27

33.13

>ra

13

H5

/;

32.04 

33.14 

32.14 

32.96 

32.03

31.31

31.32

31.65

32.04 

31.99 

33.19 

33.17

32.94 

32.49 

30.97 

31.43 

31.82

31.45

 to

13

>T>

"

32.87

29.96

32.78

32.50 

31.95 

32.44 

30.78

......

......

C3

"5 

hs

/;

32.27

33.06

32.09 

32.96 

3291 

33.55 

31.37

31.63

31.54

33.15 

31.72 

33.58 

32.68

31.18

31.69 

31.70 

35.18

......

oT-t 

t-J

13 h>

«

33.91 

32.62

......

31.75

34.60 

34.40 

33.85 

32.78

3286 

32.75

......

£? 

h>

//

......

35.35

32.95 

32.80

31.93 

32.32

31.73

3382

32.71 

31.76

31.56

C-l

t 1 >, 

£

"

31.51 

3299 

32.75 

33.72 

32.59

29.58

......

.....

.....

....

a

a 

o

S

n 

32.64 

33.58 

31.89 

31.49 

32.87 

30.23 

33.03 

32.32 

32.49 

32.38 

32.09 

33.16 

33.44 

32.02 

3163 

30.84 

3085 

35.35 

32.14 

32.80 

32.78 

32.40 

33.16 

3^.47 

31.73 

32.02 

32.07 

32.06 

32.04 

33.09 

32. 5C

32.05

-t£

rQ

.y'3 

fc

0.9 

0.8 

1.6 

1.2 

1.3 

0.8 

1.3 

1.6 

1.7 

3.5 

3.5 

4.4 

2.7 

3.5 

1.7 

1.5 

1.6 

0.8 

3.1 

0.9 

3.5 

4.0 

2.2 

3.5 

0.9 

3.8 

1.2 

3.5 

3.0 

2.4 

0.9 

2.4

Weighted mean, 35° Of 32".40±0".09.

(210)
WOODWARD.] METHOD OP TIME DETERMINATION. 39

LONGITUDES. ^

(8) Programme for time determination. In the time determinations. and 

clock comparisons for the longitude work the following programme was 

adhered to as closely as circumstances would permit:

1. Observation of four to six time stars with as many sets of level 

readings.

2. Reversal of transit.

3. Observation of four to six time stars with as many sets of level 

readings.

4. Exchange of signals.

5. G, 7. Eepetition of 1, 2, 3.

(9) Method of reduction. In a time determination the essential quantity sought is the clock correction or error of the time piece used at 

some determinate epoch, and the unessential quantities with which 

that correction is involved in the function observed are the azimuth and

collimation of the transit and the rate of the time piece. It would evidently be desirable, if possible, to so arrange the observations that the 

coefficients of the azimuth, collimation, and rate in the normal equation 

for the clock correction would vanish. Although it is usually impossible to thus eliminate the effect of the azimuth, collimation, and rate completely, it is generally possible to make a close approximation thereto. 

To show this fact, analytically, and also exhibit the process of reduction 

followed in computing the clock corrections, let

J£=the correction to the time piece at the epoch £0> 

<=the observed time of a star's transit,

tf=the star's right ascension, *

a=the azimuth of the instrument,

c=the collirnatiou of the instrument,

r=the rate of the time piece,

A=the azimuth factor,

0=the collimation factor,

jp=the weight of (t a),

<y=the residual error. 

Then the type observation equation is

,At+Aa+Cc+(t U}r+t a v. (I) 

The normal equation in At is

\p]/Jt+\pA]a+[pQ]c+[p(t-t0 }]r+\p(t-a)]=0. (2)

To secure the complete elimination of the effect of a, c, and r in this 

equation we must have

[pA]=0, [pG]=Q, and [p(t-t0 )]=Q. (3)
40 LATITUDES AND LONGITUDES. [BULL. 49.

The last condition canx always be satisfied by making1

A close approximation to the first two conditions of (3) can be secured 

by selecting stars suitably situated north and south of the zenith and 

by reversals. These considerations were followed so far as possible in 

making up the working programme given above.

When the observations are so arranged that the first two of the conditions (3) are approximately satisfied, the clock correction At can be 

readily derived from (2) without forming the other three normal equations. Thus, divide equation (2) by the coefficient of At and put

Then we have

(6)

Now, since ft and y are by hypothesis small quantities, ,we need only 

approximate values of a and c to enable us to get At0 from (6) with the 

required degree of precision.

In the practical application of this method it has been found advan-. 

tageous to proceed by the following steps :

1. Form the normal equation (2) in the usual manner and compute to 

by (4) and the reduced normal (6).

2. Disregarding weights, the mean of the observation equations for 

clamp west minus the mean of those for clamp east will give an approximate value for the collimation c. . -

3. The application of this value of c to each observation equation will 

give a corrected value of (t a) for each star.

4. An approximation to the value (or values) of the azimuth a will 

then result by eliminating At from one or more pairs of the corrected 

observation equations reached in step 3. This azimuth may then be 

applied to correct the values of (t a) reached in step 3.

5. The approximate values of a and c will now give At from (6;, and 

the addition of At to the values of (t a) reached in step 4 will give 

approximate values for the residuals v.

6. Form [pv]. If this sum is not zero within 08.01 or 08 .02 a brief inspection will show what changes in a and c will make it zero within 

those limits.

After one night's work at a station it is usually easy to render a and 

c small, so that if ft and 7, as defined by (5), are likewise small, the correct value of AtQ may be very readily determined without going through

1 It may be shown that the weight of the value 4t0 , corresponding to the epoch 

defined by (4), is a maximum.

(212)
WOODWARD.] METHOD OF TIME DETERMINATION. 41

all of the above steps. But the entire process may be carried out and 

the check sum

satisfied as nearly as need be iii less time than would be required to 

form and solve all the normal equations.

By the above process the value of the clock correction At and the 

epoch <0 are derived from each of the two time determinations. Calling the corrections At1 and At", respectively, and the corresponding 

epochs t0' and t0", the rate of the time piece will be given with sufficient 

accuracy by the equation

/if" /if

r= ~m . (7) I0"-t0' { ]

(10) Weights. The errors to which the observed quantity (t a) is

subject may be divided into four classes, viz:

1. Errors whose effect varies as sec tf, 6 being the star's declination,

2. Errors whose effect is independent of the star's declination.

3. Culmination errors not involved in 2.

4. Error in the adopted right ascension of the star.1 

The errors of the first and second class may differ for the transits 

over different wires by entirely independent amounts, while those of 

the third and fourth class are the same for the transit over every wire. 

Hence, denoting the probable errors for a single transit over one 

wire corresponding to these sources by fi, £2 > £3, and £4 , respectively, 

and supposing the observed time t a mean of the times of transit over 

n lines, the square of the probable error of (t a) will be

If unit weight be assigned to the mean transit of an equatorial star 

over n threads, the weight p of the mean transit of a star whose declination is 6 over N threads will be expressed by

The values of fi and £2 for the Wiirdeinann transit No. 20 have been 

given in section (5), (a). They are, roundiug them to the nearest hundredth,

£i=±09.05 and £2=±08.05.

'To these might be added the error due to uncertainties in the inclination of the 

horizontal axis of the transit.

(213)
42 LATITUDES AND LONGITUDES. [BULL. 49.

The values of £3 and £4 can not be sharply denned, but we may safely 

assume for the present purposes that £3 lies between 08 .03 and Os.06, and 

that £4 for stars of the Berliner Jahrbuch lies between 08.02 and Oa .06.1

In computing weights from the above formula we have used

£3= ± 08.05 and £4 = =t 08.03.

With these values of l . . . £4 and n= JV=5, the above formula 

becomes

____.

39+5 sec2 6

This has been used for computing weights to be applied to the transits 

of 1884, wheu, as a rale, only five wires were observed. For the transits 

of 1885. when seven wires were observed, a similar formula, derived 

from (8), with the above constants and n=N=l, has been used.

For the transits observed by Professor Pritchett we have taken

a value- somewhat greater than would result from the square of the ratio of the magnifying power of his instrument and that of Wiirdemann 

No. 20, viz :

For his transits n=N=7.

It has been deemed sufficient to use the nearest tenth for the weight 

computed as explained above. The working weights may be conveniently tabulated in the following form, which is the table of weights used 

in reduciug the transits observed with the Wiirdemann transit No. 20 

in 1884:

6

00°

34

51

59

65

00'

14

15

43

20

1.

.9

.8

.7

This means, for example, that the transits of all stars whose declinations fall between 51° 15' and 59° 43' have a weight 0.8.

(11) Details of time work. The following table, Table III, gives the 

principal details of the time work at the field stations and at the observ-.

1 It is here assumed that the probable error of the tabular right ascensions does not 

vary with the declination, which is probably nearly the case for stars between 20° 

and -J-600 of ^declination.

(214)
WOODWARD.) DETAILS OF TIME WORK. 43

atory at Saint Louis. The first column of the table gives the names of 

the stars observed. The second column shows the position of the telescope by defining the position of the clamp. The third column gives the 

weights. The fourth column gives the azimuth factors A, and the fifth 

the collimation factors G. The sixth column gives the observed time of 

transit (mean time of wires) corrected for inclination of horizontal axis 

and daily aberration. The seventh column gives the residuals resulting 

from the observation equations on substituting in them the clock correction, azimuth, and collimation.

The right ascensions of the stars observed in 1884 have been taken 

for the most part from the Berliner Jahrbuch; some, however, whose 

day places are not given in the Jahrbuch, have been taken from the 

American Ephemeris. The right ascensions of all stars observed in 

1885 were taken from the Jahrbuch.

Following each table, giving the above data for a time determination, 

are the normal equation for-4t and the reduced normal, or the former 

divided by the coefficient of At. There are also given the adopted 

values of the azimuth aud collimation and the clock correction with its 

epoch. The values of the azimuth and collimation are called adopted 

values, for the reason that they were obtained in the manner explained 

above and not from the usual full number of normal equations. They 

may differ in some cases by a few hundredths from the rigorous least 

square values, but such differences do not affect the exact determination 

of the clock correction.

(12) Personal equation work On two nights in August, 1884, before 

commencing the longitude work in Kansas and Missouri, aud on two 

nights in the following December, after completing that work, observations were made for the relative personal equation of Professor Pritchett 

and the writer. These observations were all made at Saint Louis with 

Professor Pritchett's transit. The two observers alternated in observing, each observing a sufficient number of stars to secure a time determination. Both sets of observations were reduced by using the same 

azimuth and collimation, and the difference of the resulting clock corrections gave a measure of the personal equation. The details of these 

observations are given in the same tabular form as the other time work, 

and may be seen on pages 84 to 87.

In the determination of the longitude of Albuquerque, K. Mex., in 

1885, observations for personal equation were made at Saint Louis on 

three nights before the work at Albuquerque was begun and on two 

nights after it was completed. For this purpose the instruments of 

the Survey were mounted in a temporary observatory alongside that 

of Washington University, and each observer used his own apparatus 

for observing and for exchanging clock signals precisely as in the longitude work. The details of these observations follow those of the 

other time work at Saint Louis in 1885 (see pages 102 to 111).

(215)
44 LATITUDES AND LONGITUDES. [BULL. 49.

TABLE III. Details of time work. 

[Oswego, Kans., August 29,1884. Before signals. Observer, Woodward.]

'Jfame of star. Clamp.

W.

W.

E.

E.

"Weight.

1.0

.6

1.0

9

1.0

.8

1.0

1.0

.8

1.0

1.0

1.0

A

+0. 83

1.17

+ .98

99

+ 1 Q

' - .62

+ .50

+0.29

 .71

+ Q1

+ .10

+ -41

C

+ 1.04

2.44

1.10

1.13

1.83

+ 1.CO

 1.08

1.93

1.07

1.19

 1.03

t

h. m. e. 

17 04 09.88

08 48.73

10 41 Qfi

42 20.00

51 51.72

18 19 11.18

22 37.20

41 00.35

55 02.23

19 00 31.15

V

8.

+.05

+ 24

+.04

+.06

09

-.06

1O

 .11

-.10

+.04

+.08

O- 09

Normal equation, 11.1AJ+1.134aw +0.542»e +2.580C+31.345=0

Normal equation, 1 +0.102 +0.049 +0.232 + 2.824=0

Adopted aw= -1".09 ae= 1s. 09 c=+0s.25

Chronoraeter fast 22». 72 at 18h . 02.

[Oswego, Kans., August 29, 1881. After signals. Observer, Woodward.]

Name of star.

<|/Cygni ...................

V Cygni ...................

e CepheL. .................

Clamp.

E.

E.

W.

"W.

Weight.

0.8

1.0

1.0

.9

.3

.9

1.0

0.7

1.0

.9

1.0

1.0

.9

.6

1.0

A

-0.42

+ .51

+ .02

- .23

-2.95

 .06

+ Q7

-0.93

+ .40

 .19

+ .08

+ .73

- .08

-t-2.53

jj u

0

-1.C3

1.01

J.OO

1.45

4.57

1.30

LOG

+2.17

1.03

1.41

1.20

1.01

+ 1.32

-2.62

+1.00

t

h m. s. 

19 5:f 0 i. 22

58 55. 00

20 0.1 45.94

10 24. 57

13 11.50

18 29 91

21 08.15

20 28 03.15

32 32. 96

37 54.48

41 57.22

46 50. 71

53 16.96

21 00 35.81

10 28.14

V

s. .03

+ .10

+.05

+.08

J- 1Q

+.04

-.13

-.01

flC

+.03

.06

 .02

-.07

.01

Normal equation, 13A«+ 0. 518^+2.374«e 1.580c+36.829=0 

Normal equation, 1 +0.040 +0.182 0.122+2.833=0' 

Adopted aw= 1MO »= -!». 10 c=+0".05 

Cbronometer fast 22s, 58 at 20b .49.

. (216)
WOODWARD.] DETAILS OF TIME WORK. 45

TABLE III. Details of time work Continued. 

[Oswego, Kans., August 30, 1884. Before signals. Observer, "Woodward.]

Name of star.

07 Ophiuchi. .......... ....

109 Herculis ...............

110 Herculis ...............

Clamp.

"W.

W.

E.

E.

Weight.

0.6

 i.o

.9

1.0

.8

1.0

1.0

1.0

1.0

1.0

1.0 '

1.0

A

 1.17

+ .96

 .22

+ 1 Q

 .62

+ .56

+0.47

-L 90

+ .72

+ .31

+ .10

C

+2.44.

1.09

1.44

1.13

1.83

+1.00

 1.01

1.00

'1.08

1.01

1.07

-1.19

t.

h. in. s. 

1.7 08 46. 8 1

19 42.13

36 33.51

42 18.24

51 52.94

55 14.26

18 02 15. 03

15 43.04

19 09.22

29 18. 49

41 04.2!)

55 00.14

V

s. 

+.10

+.07

-.08

+ .01

-.05

+ .03

-.14

 01

+ .03

-.08

-.03

+ .10

Normal equation, 11.3^t+0.3i«am +2. 540ae+l. 084c+22.923=0

Normal equation, 1 +0.027 +0.224 +0.096 + 2.028=0

Adopted aw= 1 s. 10 ae 1". 10 c+0'.15

Chronometer fast 20s. 70 at 18". 06.

[Oswego, Kans., August 30,1884. After signals. Observer, Woodward.]

Name of star.

3 Ursas Majoris, 8. P ......

o'Cygni. ........ .........

oo TTnl-nApnl'Tn

£Cygni ...... ............

Clamp.

E.

E.

"W.

"W.

"Weight.

0.8

1.0

.0 

1.0

.9

.9

1.0

1.0

1.0

.7

1.0

.9

.6

1.0

.9

A

-0.42

+ .51

+ 2.66 

+ .62

- .23

- .06

J_ 4.1

_LO 4.0

+ -74

- .86

J- 1Q

_ 08

+2.53

j- 11

- .01

G

-1.63

 1.01

+ 2.77 

1.00

1.45

1.30

1.02

+1.03

1.02

2.09

1.13

+1.32

 > 62

+1.15

+ 1.26

t

h. in. s. 

19 53 01.48

58 53.00

20 01 39.79 

05 43.92

10 22.41

18 .27.90

28 04 84

41 48.68

43 19. 48

50 01.19

cq -\A QA '

01 (\(\ 3Q RQ

08 24.14

in 31 70

V

9. 

+ 91

+.10

-.20

+.04

-.05

+.03

U- fll

+.07

-.04

+.32

.04

 <\A.

Q9

.10

-.07

Normal equation, 13. 3A«+2. 579ot(,+2. 315ae+l. 396c+13.026=0

Normal equation, 1 +0.194 +0.174 +0.105 + 0.979=0

Adopted a w= 1-. 10 ae= -1'. 10 c=+0. 05

Chronometer fast 20'. 58 at 20h. 52.

(217)
46 LATITUDES AND LONGITUDES. IBULL. 49.

TABLE III. Details of time icork Continued. 

(Oswego. Kans., August 31, 1884. Before signals. Observer, "Woodward.]

Name of star.

72 Opbiuchi. ........ ...'...

110 Herculis. .............

-, T.vrflft

Clamp.

E.

W.

W.

"Weight.

0.6

1.0

1.0

.8

1.0

1.0

1.0

1.0

i.o

1.0

1.0

1.0

A

1 17

+ or>

+ .18

- .62

+ .50

+0.47

+ r\t\

+ .29

_ 71

+ .72

+ T1

+ .10

+ .41

0

 2.44

1. 10

1.13

1.83

-1.00

+1.01

1.00

1.08

1.93

1.01

1.07

1.19

+1.03

t

h. TO. 8. 

17 08 44.86

19 39.99

42 f6.29

51 51.15

55 12.38

18 02 13.21

15 41.00

19 07.25

22 33.30

29 16.47

41 02.31

54 58.02

19 00 27.02

V

s. 

-.14

-.11

-.04

PR

+.C8

+.06

 .02

+.06

+.12

-.00

+ .09

-.03

-.01

Normal equation, 12.2^+0.502^+2.382^+2.7706+1.432=0

Normal equation, 1 +0.041 +0.195 +0.227+0.118=0

Adopted aw=-l'.00 a= I'.OO c=-OMO

Chronometer fast 18'. 86 at 18h . 19.

[Oswego, Kans., August 31, 1881. After signals. Observer, Woodward.]

Name of star.

^Cygni..-.. ..............

3 Ursa Majoris, B. p ......

eCygni. ..................

a3 (Jrsae Majoris, 6. P ...... 

SCygni. ..................

rCygni. ..................

Clamp.

W.

W.

E.

E.

Weight.

1.9

.8

1.0

.6 

1.0

1.0

1.0

« 

1.0

.4

.9

1.0

1.0

1.0

.6 

1.0

.9

A

+0.46

- .42

-i- m

+2. CO 

+ .62

+ .24

- .06

+ .87

+0.45

 2.28

.19

+ .08

+ 71

+ 1Q

 .08

+2.52 

-L in

- .01

G

+1.02

1.63

+ 1.01

-2.,77 

+1.00

1.10

1 3O

+ 1.06

-1.02

3.75

1.41

1.20

1.01

1.13

1 V)

+2.62 

 1.15

-1.26

t

h. m. s. 

19 41 07.00

52 59.27

58 51.04

20 01 37.94 

05 42.11

12 11.70

1 ft 9A 1 ^

21 04.48

20 28 02.72

33 22.13

37 50.49

41 53.18

46 46.94

49 59.36

KO -10 OQ

21 00 31.82 

08 22.26

10 32.00

V

8.

+ 1 Q

+ 1 ^

+.08

'+.02 

 .08

-.08

 .15

+.03

+ 91

+.08

+.06

-.12

.08

-.26

+ .43 

+.03

-.07

Normal equation, 16. OA«+3.9060^+1.954ae 3.027c+l. 288=0

Normal equation, I +0.244 -t-0.122 0.189+0.080=0

Adopted aw = 1-.07 ae= 1-.07 c= 0'. 10

Chronometer fast 18". 71 at 20i>. 47.

(218)
WOODWARD.] DETAILS OF TIME WORK. 47

TABLE 111. Details of time work Continued. 

[Oswego, Kans., September 1, 1884. Before signals. Observer, Woodward.]

Name of star.

67 Ophiuchi. .............

72 Ophiuchi.. .............

109Herculis ..............

}} Ill'dPAtllO

1 Aquiltn................

HOHerculis ...............

<J Aquiko.. ...............

Clamp.

\V.

W.

E.

Weight.

1.0

1.0

1-0

.8

.9

1.0

.5

.8

1.0

1.0

1.0

1.0

1.0

1.0

g

1.0

1.0

A

+0.23

+ .97

+ .96

 .43

- .22

-f .18

-1.88

- .62

+ .56

+0.47

+ .65

+ 90

.71

+ TO

_1_ 31

- .16

+ .10

. + .41

0

+ 1.10

1.10

1.10

1.64

1.44

1.13

3.27

1.83

+1.00

 1. 01

.1.00

1.08

1.93

t.Ol

1.07

1.39

1 10

 1.03

t

h. m. s. 

17 10 30.02

15 14. 55

19 38.45

28 06.91

36 30.14

42 14.74

44 16.03

51 49.65

55 10.71

ID fl9 1 1 3fi

15 39.18

19 05.12

22 31.15

29 14 53

41 00.27

52 07.61

54 56.04

19 00 25.20

V

+.'09

+.06

 .07

+.05

 .05

.00

+.17

-.05°

+.02

+ 

AQ

+.09

-.12

+.02

-.08

.00

-.11

-.05

+.08

Normal equation, 16. 7At+0.922aw +2.238ae+0.952c+5.027=0 

Normal equation, 1 +0.055 +0.134 +0.057+0.301=0 

Adopted «, = I1 .00 ae= 1". 00 c= 0». 06 . 

Chronometer fast 17s. 11 at 18". 00.

[Oswego, Kans., September 1, 1884. After signals. Observer, Woodward.)

Name of star.

$Cjgni,.... ..............

£Cygni. ..................

rCygni.. ................

Clamp.

E.

E.

W.

W.

Weight.

1.0

.8

1.0

.6

1.0

.9

.9

1.0

1.0

.4

1.0

1.0

1.0

.9

.6

1.0

.9

A

+0.48

- .42

+ M

+2.66

 .23

 .00

-4- .87

+ 0.45

 2.28

+ .74

+ .7J1

J. 1Q

 .08

j_9 53

+ .15

 .01

0

1.00

1.63

 1.01

+2.77

-1.00

1.45

1.30

-1.06

+ 1.02

3.75

1.02

1.01

1.13

+1.32

 2 02

+1.15

+ 1.26

t

h. in. s. 

19 45 28. 02

52 57.50

58 49.33

20 01 36.91

05 40.13

10 18.73

18 24.19

21 02.43

20 28 01.08

33 20.94

41 45.13

46 45.08

49 57.60

53 11.35

21 00 29.99

08 20.51

10 30.03

V

s. 

+.10

-.04

-.09

-.41

+.04

-.01

-.05

+.02

-.02

-.19

-.08

+.04

-.02

-.03

+.35

+.08

+.19

Normal equation, 15. OAf+3. 479ae+2.785aw+l. 393c+5.578=0

Normal equation. 1 +0.232 +0.186 +0.093 +0.372=0

Adopted «, = 1'.09 «_,= 1'.09 «=+0'.02

Chronometer fast 16s. 92 at 20h. 48.

(219)
48 LATITUDES AND LONGITUDES. [BULL. 49,

TABLE III. Details of time work Continued. 

[Oswego, Kans., September 2,1884. Before signals. Observer, "Woodward.]

Name of star.

670phiuchi...... .........

Clamp.

E.

E.

W.

W.

Weight.

0.6

1.0

1.0

.8

1.0

.9

.8

1.0

1.0

1.0

, 1.0

.8

1.0

1.0

.9

1.0

1.0

A

 1.17

4- 07

+ .96

47

+ .82

 .22

 .62

-I- fifi

+ -47

+0.65

+ 9Q

- .71

-L 79

J Q1

- .16

+ .10

+ .41

0

-2.44

1.10

1.10

1.64

1.04

1.44

1.83

1.00

-1.01

+1.00

1.08

1.93

1.01

1.07

1.39

1 1Q

+ 1.03

, <

h. m. s. 

17 08 41.24

15 12.60

19 36.64

0 28 04.84 

31 15.79

36 28.13

51 47.18

55' 08.59

18 02 09.29

18 15 36.82

19 02.69

22 28.40

29 12.21

40 57.88

52 05.18

54 53.55

19 00 22 

' 71

V

8.

-.12

+.11

+.03

j. no

+.04

+.06

-.36

_ nn

ft1*

+.08

_ nn

+.17

-.05

+.06

+.10

.00

+ m

Normal equation, 15. SA«+1. 7C8«e+2. 040aw 1. 611c+17. 618=0

Normal equation, 1 +0.112 +0.129 -0.102 + 1.115=0

Adopted aw= l: 25 ag= 1-.25 c=+0».25

Chronometer fast 14'. 79 at 18b. 11.

[Oswego, Kans., Septembers, 1881. After signals. Observer, Woodward.)

Kame of star.

^Cygni. ..................

TAquilffl .................

Y Cygni. ..................

£Cygni ..................

rCygui. ..................

Clamp.

W.

W.

E.

E.

Weight.

1.0

.8

1 0

9

Q

i.O

1.0

.4

1.0

1.0

1.0

9

1.0

g

A

+0.48

- .42

_L M

+ .62

OQ

.06

+ 07

+0.45

-2.28

+ .08

+ 

rjn

+ .19

ns

_L 1*5

.01

c

+1.00,

1.63

1.01

1.00

1.45

1.30

+1.06

1.02

3.75

1.20

1.01

1.13

1 19

IT!

1.26

t

h. m. 8. 

19 45 26.14

52 55.40

58 47.21

20 05 38.25

10 16.54

Ifl 99 oc

21 00.52

20 27 59 17

33 18.91

41 10 V>

46 43.25

49 55.66

C9 nn An

21 08 18.64

10 28.38

c

s. 

+.03i i 

+ no

+ /\Q

+.10

19

+.07

-.01

-.09

-- T!

.00

-.05

 .01

-.09

+.02

Normal equation, 13.8A«+1- SSSa^+0.607«e 1.483c+2.562=0

Normal equation, 1. +0.136 +0.044 0.108 +0.188=0

Adopted aw= 1MO «e= 1MO c=+0«.05

Chronometer fast 141 .98 at 20b . 47.

(220)
WOODWARD.] DETAILS OF TIME WORK.

TABLE III. Details of time ivork Continued. 

[Elk Falls, Kans., September 25,1884. Before signals. Observer, Woodward.]

49

Name of star.

yCygni. ...... ............

Gr. 3241.................

Clamp.

w.

W.

E.

E.

"Weight.

1.0

.6

.4

1.0

.8 - '

1.0

1.0

.9

0.5

1.0

1.0

.9

1.0

.9

1.0

.5

1.0

.7

1.0

A

+0.88

-1.31

 2.01

+ .57

 .39

+ -71

+ .36

 .18

-1.57

+ .51

+ .62

00

+ .25

 .06

+ .45

 1.86

+ .39

- .85

+ .19

0

+1.06

2.61

3.45

1.00

1.61

1.01

1.C5

+1.41

2.92

1.01

1.00

1.45

1.11

1.30

' 1.02

3.26

1.04

2.09

-1.13

t

h. m. s. 

19 14 42.71

16 21.91

21 36.87

23 30.55

30 38.11

3t 30.90

39 42.10

45 12.41

19 52 25.83

20 02 20.47

09 11.16

13 51.10

15 41.40

21 56.52

31 32.53

34 23.83

38 07.23

46 48.81.

53 29.47

V

8.

.05

+.11

+ .03

+.05

-.03

-.09

.14

+.02

+.08

+.11

+.21

no

+.06

-.29

+.02

-.27

+.11

+.02

+ .01

Normal equation, 16.2A<+<X 456a(() 0.161ac 3.715c+19.703=0

Normal equation, 1 +0.028 0.010 0.230 + 1.216=0

Adopted aw = + 0'37 ae=+Q>.37 c=+0».17

Chronometer fast 3m 49s. 18 at 20h . 06.

[Elk Falls, Kans., September 25, 1884. After signals. Observer, Woodward.]

Name of star.

iCephei..... ............

226 Cephei. ................

Clamp.

E.

E.

W.

W.

Weight.

0.9

.4

.8

1.0

1.0

0.8

1.0

.4

1.0

1.0

A

-0. 30

-2.02

 .65

+ 79

+ .63

-0.40

+ .77

-2.50

+ .16

+ .27

0

--1.52

3. 4;>

1.87

1.01

 1.00

+ 1.61

1.02

4.03

1.15

+1.09

t

h. m. s. 

21 46 24.00

55 21.20

22 10 43.91

14 35.22

19 32.53

22 22 53.20

28 22.87

34 10.05

41 26.62

44 29.23

V

8.

_ 11

+ .24

+.03

+ 1Q

_ . fll

 .32

 .14

+ 10

.00

+.03

Normal equation, 8.3At-0.248ac-0.120aU) -0. 09^c+8.956=0 

Normal equation, 1 0.030 0.014 0.001+1.079=0 

Adopted aw =+0'.21 ae= + 0'.36 c=+0'.21 

Chronometer fast 3 ra 49'. 06 at 22h . 30 v

(221)

Ball. 49-
50 LATITUDES AND .LONGITUDES.

TABLE III. Details.of time work Continued. 

[Elk Falls, Kans., September 28,1884. Before signals. Observer, Woodward.]

[BULL. 49.J

Name of star.

6 Aquilse...... ............

o'Cygni...... .............

yCygni. ..................

Gr. 3241 .................

Clamp.

E.

E.

W.

W.

Weight.

0.8

1.0

1.0

1.0

.5

1.0

1.0

1.0

O n

1.0

1.0

.7

1.0

.2

A

-0.39

+ .71

- .34

+ .36

i 4.0

-1.57

+ .33

+ .51

+ .62

- .23

0.06

+ .45

-1.86

+ .39

- .85

+ .74

5 19

0

-1.61

1.01

i Z,R

1.05

1.00

2.92

. 1.06

1.01

1.00

 1.45

+1.30

1.02

3.26

1.04

2.09

1.01

+7.28

(

h. m. s. 

19 30 33.56

34 26.49

37 06.55

39 37.57

48 54 73

52 20.07

57 23.16

20 02 15.77

09 0(5.70

iq AK. no

20 21 51.59

31 28.10

34 18.38

38 02.83

46 43.88

50 11.85

54 45.95

V

8 

-1. 119

+ AO

_ 04

+.03

-.04

 .10

-.03

no

-t.03

-.02

+.02

+.08

+.04

+.05

.06

 .07

.00

Normal equation, 14.4A£ + 1.410»e 1.023»w-2.798c+9.596=0

Normal equation, 1 +0.098 0.071 0.195+0.606=0

Adopted aw=+0'. 20 ae=+0s. 20 o= OMO

Chronometer fast 3m 44s. 69 at 20h . 13.

[Elk Falls, Kans., September 28, 1884. After signals. Observer, Woodward.]

Name of star. Clamp.

W.

W.

E.

E.

Weigbt.

1.0

.5

.5

.9

.4

1.0

0.8

.8

1.0

.9

.9

1.0

1.0

A

+0.33

r-1.58

+ .48

' -1.67

- .30

 2.02

+ .62

 O.G5

- .40

+ .77

- .33

- .02

+ .16

+ .27

G

+1.06

2.93

1.01

3.04

1.52

+1.00

 1.87

1.61

1.02

1.55

1.28

1.15

-1.09

t

h. m. s. 

21 10 31.37

30 59.08

42 17.58

44 03.11

46 19.12

55 15.80

22 03 37.89

22 10 38.63

22 48.61

28 18.47

30 19.58

37 51.93

. 41 22.23

41 44.94

V

8.

 .01

-.06

 .09

-.03

.14

+.04

+ .09

-.01

-.02

+.09

+ .04

-.02

+.01

Ngrmal equation, 11.7A« 1.273aw +0.045»a+0.212c+7.319=0

Normal equation, 1 0.109 +0/004 +0.018+0.628=0

Adopted aw =0».00 ae=0».00 c= OM5

Chronometer fast 3m 44s. 62 at 22h. 16.

(222)
WOODWARD.] DETAILS OF TIME WORK.

TABLE III Details of time ivork Coutimied. 

[Elk Falls, Kans., October 2,1884. Before signals. Observer, Woodward.]

51

Name of star.

ei'Cyjini...... ............

Br.2777. ................

Clamp.

W.

W.

E.

E.

Weight.

1.0

g

1.0

.9

1.0

.3

1.0

0.7

1.0

.5

1.0

.5

. A

+0.57

.23

+ Q7

AO

+ .77

3.02

J. <5d.

 0.89

O- 14

 1.58

+ .48

-1.67

0

+1.00

1.45

1.06

1 07

1.02

4.68

+1.00

1.09

2.93

1.01

-3.04

t

h. m. s. 

19 23 19.29

QA ID QQ On

24 21.49

21 05 22 93

06 57.26

11 29 61

13 42.15

21 19 30.04

23 43.49

30 51.78

42 10.21

43 55.78

V

8.

+.17

-.01

-.05

+.17

+.01

-.82

-.05

+.03

+.01

+.01

+.04

-.05

Normal equation, 9.8A4+1.619«w 0.828afl+l. 349c+5.250=0

Normal equation, 1 +0.165 0.085 +0.138 +0.536=0

Adopted «U) =+0S. 20 «e=+0s. 20 c=0'.00

Chronometer fast 3m 37". 55 at 20h. 95.

[Elk Falls, Kans., October 2,1884. After signals. Observer, Woodward.]

Name of star. Clamp.

E.'

E.

W.

W.

Weight.

1.0

.8

1.0

g

.9

1.0

.6

1.0

Q

1.0

.4

A

+0.63

.40

+ .77

QO

.02

+0.27

-1.14

+ .84

+ .40

 2.31

0

-1.00

1.61

1.02

1. 55

1 >£>

+1.09

2.42

1.04

1.34

1.03

+3.81

t

h. m. s.

99 10 Oft fid

22 41.34

28 11.33

on 10 17

07 AA 70,

22 44 37.86

49 16.54

52 10.47

07 58.58

V

8.

no

.+.16

1Q

+ 19

_ Q3

+.11

 .13

+.02

 .10

+.08

Normal equation, 9.5At+0.765afl 0.188aw+l. 487c+3.588=0

Normal equation^ 1 +0.081 0.021 -f-0.157 +0.378=0

dopted aw = + 0». 10 «e=+0'. 10 c= 0«. 10

Chronometer fast 3 37". 37 at 22". 70.

(223)
52 LATITUDES AND LONGITUDES.

TABLE III. Details of time work Continued. 

[Elk Falls, Kans., October 6, 1884. Before signals. Observer, "Woodward.]

[BULL. 4&

Xame of star.

 yCygni.... ...............

fir 0911

Br. 2777 .................

Clamp.

\V.

W.

E.

Weight.

1.0

.8

1.0

.9

1.0

.9

1.0

.5

1.0

1.0

.9

0.9

1.0

.5

1.0

.7

1.0

.2

1.0

.3

1.0

A

+0.57

 .39

+ .71

- .34

+ .36

- .18

_i_ 4q

-1.57

+ .51

 .23

 0.06

+ .45

1.86

+ .39

or.

+ .74

-5. 12

+ -77

 3.02

+ .54

G

+1.00

1.61

1.01

1.56

1.05

1.41

1.00

2.92

1.01

1.00

+1.45

-1.30

1 09

3.26

1.04

2 no

1.01

7 9ft

1.02

4.67

 1.00

t

h. m. g. 

19 23 09.86

DA IT 17

34 10. 05

Qfi Kn 0,1

qo 91 10

44 51.60

48 38.40

52 04.13

20 01 59.65

08 50.33

13 29.74

20 21 34.73

31 11.23

34 00.91

37 45.95

46 26.74

49 54.89

54 27.25

21 06 47.57

11 20.52

13 32. 39

V

8.

+.01

0°

03

-i- 09

+ AO

+.04

.00

a. °.ft

+.01

_I_ 1

-L AQ

-.02

L 1 Q

A7

03

1fi

+. 33:

 -..22

' +..14

-..15

Normal equation, 17.6A«+L 4?8aw -0. 619ae+0.586c+4.510=0 

Normal equation, 1 +0.084 0.035 +0.033 -t- 0.256=0 

Adopted a^ + 0',20 ae=+0'.20 c= OMO

Chronometer fast 3m 28". 26 at 20h. 21.

[Elk Falls, Kans., October 6,1884. After signals. Observer, Woodward.]'

Name of star. Clamp.

E.

E.

W.

W.

"Weight.

0.8

1.0

.8

1.0

.9

1.0

0.9

1.0

.6

1.0

.9

1.0

A

 0.65

+ .63

 .40

+ .77

 .33

+ .62

-0.02

+ .16

 1.14

i 04

- .10

+ .40

O

 1.87

1.00

1.61

1.02

1.55

-1.00

+1.28

1.15

2.42

1.04

1.34

+1.03

t

h. m. s. 

22 10 22. 13

19 11.18

22 32.14

28 01.80

30 03.11

32 55.30

22 37 35.82

41 05.92

49 07.44

52 01.27

23 00 07.51

02 30.88

V

g. 

+..01

 .13

-.04

 .04.

J- Cld.

+..09

+.17'

-.07

+.19

.00

-.13

 ,OL

Normal equation, 10.9A«+0.883ae +0.608^ 0.169c+l. 327=0 

Normal equation, 1 +0.081 +0.056 0.016 +0.122=0 

Adopted aw=+0s. 20 ae =0».20 c= O1.10

Chronometer fast 3m 28«. 15 at 22*. 62.

(224)
WOODWARD:] DETAILS OF TIME w6RK. 53

TABLE III. Details of time work Continued. 

|Fort Scott, Kans., October 17, 1884. Before signals. Observer, Wood ward. 1

Name of star.

vCygni. ..................

Gr. 3241.. ................

V A rniQTii

^Cygni. ..................

Clamp, f

W.

W.

E.

E.

Weight.

1.0

g

.3

.9

1.0

1.0

.5

0.9

1.0

.7

1.0

1.0

.7

1.0

.9

1.0

A

+0.63

oo

 2.91

 .05

+ .89

+ .46

-1.84

fl 17

+ .09

.83

+ .74

- .07

i 70

+ .10

- .88

+ .48

 .29

+ .24

0

+1.00

1.45

4.57

1.30

1.06

' 1.02

+3.26

 1.41

1.20

2 09

1.01

1.32

I fO

2.14

1.01

1.52

 1.11

t

h. m. g.

07 07.67

10 01.53

15 12.67

17 47.33

24 47.75

27 43.67

20 34 37.86

38 39.56

40 06.72

43 30.65

44 riQ Ofi

91 flrt 91 Q1

05 08.55

13 00.43

35 37.17

39 40.96

44 55.83

V

s. 

-.06

--.04

 .35

 .03

 .06

.05

+.24

+.08

.02

-L. fir\

.08

-.01

.04

+ .05

.00

-.03

+.12

+ .10

Normal equation, 15.7A«+0.81Gft?(| 0.056ae 4.730c-62.9G3=0

Normal equation, 1 +0.052 0.004 0.301 4.010=0

Adopted aMJ = + 38.00 afi =+3'.00 c= Or. 03

Chronometer slow 2m 53". 86 at 20h . 78.

[Fort Scott, Kans., October 17, 1881. After signals. Observer, Woodward.]

Name of star.

41 H. Cephei...... .........

Clamp.

E.

W.

W.

Weight.

O

o

1.0

1.0

.4

1.0

0.6

1.0

1.0

.9

1.0

.6

A

1

1 n

+1.07

09

+ .41

9 9O

+ .71

1 OO

+ .60

+ .44

- .20

a. 51

 1. 26

0

2.42

1.16

1.34

1 A3

3 81

-1.01

+2.61

1.00

1 fl9

1 44

1.00

J.O KQ

t

h. m. 8.

99 49 Aft 9Q

48 20.53

53 45.64

56 07.34

23 01 32.93

05 26.38

OO 11 A? QA

18 .07.07

OA Ot 79

29 04.50

31 07.05

39 38.40

V

8.

.51

+.17

.15

+.08

-.08

-.01

+.14

-.07

+ n*>

+.05

+ 19

+ na

Normal eqaation, 10At+0.515ae -0. ISOa^+0.048c 41.069=0

Normal equation, 1 +0.052 0.013 +0.005 4.107=0

Adopted a^s+3'.OO a< =+3'.00 c=0.00

Chronometer slow 2m 53'. 99 at 23h . 16.

(L'25)
54 LATITUDES AND LONGITUDES.

TABLE III. Details of time work Continued. 

[Fort Scott, Kans., October 18,1884. Before signals. Observer, "Woodward.]

[BULL. 4&.

Name of star.

o1 Cygni.... ...............

yCygni. ............ ......

Gr. 3241.................

^Cygni. ..................

c Pe^eisi

Clamp.

E.

E.

\V.

W.

Weight.

1.0

.3

1.0

1.0

1.0

.9

1.0

.7 '

1.0

1.0

1.0

.7

1.0

.5

1.0

.9

A

+0.63

.22

 2.91

 .05

+ aa

+ .46

1 84

+ OQ

- .17

+0.09

- .83

+ .74

5.08

+ 70

+ .16

.88

+ .70

 1.56

+ AQ

- .29

0

1.00

1.45

4 17

1 Qft

1.06

1.02

3 9ft

1.04

1 4.1

+1.20

2 no

1.01

7

OQ

1.02

1.15

2 1J.

1.01

2 no

1.01

+1.52

t

h. m. 8.

'On fl9 95 Q7

07 04.63

09 49.81

15 10.17

17 48.03

24 47.10

97 35 1ft

31 21.63

34 34.88

on oo 07 «i

40 01.67

43 30.87

47 ^Q 19

91 (\(\ 9Q ftft

05 06.64

12 55.38

22 34.18

24 16 39

OK Ofi OO

39 37.57

V

s.

+.07

+.02

+.06

+ AQ

+.06

+.13

+ OD

+.01

+ no

n"

+ 15

-.01

.10

j- 11

-.15

04

 .11

f>5

Normal equation, 16.5A« 0.304afl+0.171aU)+2.785c 19.112=0 

Normal equation, 1 0.018 +0.011 +0.169 1.. 158=0 

Adopted aw= O'.SO ae= O'.SO c=0'. 00

Chronometer slow 2m 56'. 16 at 2011 .75. 

[Fort Scott, Kans., October 18, 1884. After signals. Observer, "Woodward.]:

Name of star. Clamp.

W.

"W.

E.

E.

"Weight.

1.0

1.0

1.0

.6

1.0

0.4

1.0

.6

1.0

1.0

.9

1.0

A

+0.77

- .32

+ .62

+ .28

-1.13

+1.07

- .09

-2.29

+ .71

 1.29

+ .60

4- 44

- .20

+ KA

0

1 55

1.00

1.08

2.42

1.16

+1.34

 3.81

1.01"

2.61

1.00

1.02

1.44

1.00

t

h. m. s.

23 38.49

26 31.21

38 04.22

42 42.23

48 22.02

53 43.16

23 01 22.46

05 26.16

11 00.73

18 06.43

20 24.73

29 01.31

31 06.36

V

s. 

.02

.15

.00

 .08

.1. 10

nq

+.06

+.32

.00

-.07

.00

+.08

+.06

-.04

Normal equation, 12.3A<+1.693(^+0.420«e 0.103c-15.714=0 

Normal equation, 1 +0.138 +0.034 0.008 1.277=0 

Adopted aw= 0».30 ae= O'.SO c= 0'.20

Chronometer slow 2 56". 33 at 22b. 94.

(226)
 WOODWARD.] DETAILS OF TIME WORK.

TABLE III. Details of time work Continued. 

[Fort Scott, Kans., October 19,1884. Before signals. Observer, Woodward.]

55

Name of star.

SCypni. ..................

Clamp.

W.

W.

E.

E.

Weight.

0.3

1.0

.7

1.0

1.0

.9

0.7

1.0

.9

1.0

1.0

.7

1.0

A

-2.91

+ .88

- .91

+ -41

+ .39

- .17

-0.83

+ -74

- .07

+ .78

+ .16

- .88

+ .70

0

\A K7

1.06

2.17

I

nq

1.04

+ 1.41

-2.09

1.01

1.32

1.02

1.15

2.14

-1.01

t

h. m. s. 

20 09 48.24

17 4.^ fiO

24 41.54

on 11 11

31 19. 53

34 82.73

20 39 58.92

43 28.51

49 54.99

21 00 21.18

05 04.13

12 52.41

22 31.80

t)

s. 

.00

flQ

 .10

AO

+.02

-.15

+.05

+.15

_L 19

+.04

-.05

-.00

-.01

Normal equation, 11.2A«+1-120^+0.017a8 1.050c 5.091=0

Normal eqaation, 1 +0.100 +0.002 0.094 0.455=0

Adopted aw= 0s. 30 ae= 0s. 30 c=-0".20

Chronometer slow 2m 58s. 47 at 20h. 75.

[Fort Scott. Kans., October 19,1884. After signals. Observer, Woodward.]

Name of star. Clamp.

E.

E.

W.

W.

Weight.

0.9

1.0

.9

1.0

1.0 .

.6

1.0

.9

1.0

.4

1.0

.6

A

«

-0.32

+ .62

.01

+ .16

+ .29

1.13

+1.07

 .09

+ .41

2.29

+ .71

1.29

0

-1.55

1.00

1.28

1.15

1.08

-2.42

+1.16

1.34

1.03

3.81

1.01

+2.61

t

h. m. s. 

22 23 35.58

26 28.49

31 08.36

34 38.86

38 01.44

42 38.66

22 48 19.68

53 40.72

56 04.20

* 23 01 21.09

05 24.13

10 59.42

V

s. 

 .04

+.08

+.16

-.01

+.02

.05

-.02

+.02

-.02

-.13

 .04

.00

Normal equation, 10.3A«+0.419ae+0.095aw+0.267c 7.175=0 

Normal equation, 1 +0.041 +0.009 +0.026 0. 697=0 

Adopted aw=-0'.30 ae = -0'.30 c=-0'.20

Chronometer slow 2m 58'. 72 at 22b. 74.

(227)

Q
56 LATITUDES AND LONGITUDES.

TABLK III. Details of time ivork Continued. 

[Fort Scott, Kans., October 22,1884. Before signals. Observer, Woodward.]

[BULL. 49.

Name of star.

1ft Poo-noi

20Cephei ..................

Clamp.

"W.

W.

E.

E.

"Weight.

1.0

.4

1.0

1.0

.2

1.0

1.0

.7

1.0

1.0

.5

.9

1.0

1.0

.7

A

+0.46

2.24

 .17

+ .09

+ .74

5.08

+0.78

+ .16

- .88

+ Q<i

+ .70

1.56

- .05

_L dfl

+ .24

, _ CO

0

+1.02

3

7c

1.41

1.20

1.01

+7.28

1.02

1.15

2.14

i no

1.01

2.93

1.30

1.01

1.11

2.15

*

h. m. s.

20 24 37.59

9Q *\fi 7ft

34 25.57

38 28.15

43 21.35

47 dQ 1Q

21 00 14.23

nd wi 11

12 45.52

17 00.38

99 9d 75

24 06.62

29 15.43

35 26.87

44 44.65

50 26.98

V

s. 

+ .06

.01

+.09

+.06

-.10

+ 97

+.09

-.08

-.03

-.08

.05

 .03

+.02

.09

-.03

+.16

Normal equation, 13.3At+l. 246^ 0.775afl^-4.573c 7.843=0

Normal equation, 1 +0.094 0.058 0. 344 0. 590=0

Adopted aw= 0'.30 afl= O'.SO c= O'.OS

Chronometer slow 3m 05». 58 at 21h. 11.

fFort Scott, Kans., October 22,1884. After signals. Observer, "Woodward.]

Name of star.

70 Poffnsi

Gr. 4163. .................

Clamp.

E.

E.

"W.

W.

"Weight.

O n

1.0

.4

1.0

.6

1.0

1.0

.9

1.0

1.0

.4

1.0

.8

A

-0.09

+ .41

2.29

+ .71

 1.29

+ .60

+0.44

- .20

J_ fill

+ .35

-2.10

+ .70

- .68

0

-1.34

1.03

3

01

1.01

2.61

i no

+1.02

1 44

1.00

1.05

3.58

1.01

J-1 Q9

t

h. m. s. 

22 53 33.44

55 56.83

23 01 13.40

05 16.72

10 51.58

17 57.04

OQ Oft 1 R QQ

28 52.00

30 57.07

43 33.43

46 13.82

rc 91 on

KQ CQ OO

V

s. 

+ .16

-.01

no

 .03

-.25

.00

+.10

-.02

+.05

+.04

-.20

+.01

04

Normal equation, 11. OA« 0.051ae+0.466au)+l. 008c 9.034=0

Normal equation, 1 0.005 +0.043 +0.092 0.821=0

Adopted aw= 05.20 ae= 0>. 20 c=0'. 00

Chronometer slow 3"1 05s. 83 at 23h. 42.

(228)
-WOODWARD.] DETAILS OF TIME WORK.

TABLE III. Details of time work Continued. 

[Fort Scott, Kans., October 23, 1884. Before signals. Observer, Woodward.]

57

Name of star.

^Cygni...... .............

11 Cepheh... ..............

Clamp.

E.

E. 

W.

W.

Weight.

1.0 

.4 

.9 

1.0 

1.0 

.2

1.0 

1.0 

.7 

1.0 

1.0 

.5 

.5 

1.0

A

+0.46 

-2.24 

.17

+ .09

+ -74

^ OR

+0.78 

+ .16 

.88

+ .95 

+ .70 

-1.56 

-1.65 

+ .24

0

' 1.02 

3.75 

1.41 

1.20 

1.01 

-7.28

+1.02 

1.15 

2.14 

1.09 

1.01 

2.93 

3.04 

+1.11

t

h. m. s. 

20 24 33. 92

29 55.18 

34 22.42 

38 24.64 

43 17.71 

47 49.49

21 00 10.21 

04 63.70 

12 42.61 

16 56.39 

22 20.86 

24 03.92 

37 07.72 

44 41.03

V

s. .05

+.19 

+.09 

-.19 

+.04 

+.16

+.02 

+.11 

+.14 

-.02 

-.05 

+.05 

.20

-.02

Normal equation, 11.2A«-0.775^+0.609aw +2.408c-10.861=0 

Normal equation, 1 0.069 +0.054 +0.215 0.970=0

Adopted aw =+0s.30 a=+0'.30 c=+OM5

Chronometer slow 3m 08s. 94 at 21 h. 02. 

[Fort Scott, Kans., October 23, 1884. After signals. Observer, "Woodward.]

Name of star.

41 H. Cephei.L..... ........

Clamp. \

W.

 w.

E.

E.

Weight.

1.0

1.0

.4

1.0

.6

1.0

1.0

1.0

.6

1.0

A

+0.85

- .09

+ .41

-2.29

+ .71

1.29

+0.60

j_ 44

- .20

+ u

-1.26

+ .53

0

+1 04

1.34

1 M

3.81

1.01

+2.61

_i nn

i no

1 44

1.00

2.58

-1.01

t

h. m. s. 

21 45 23.42

co on OK

EC CO 1Q

23 01 11.08

05 12.82

10 48.75

OQ 17 KO Cft

OA 1 1 fift

00 AQ Q7

30 53.46

39 20.12

60 15.76

V

8.

.00

+.07

+ AQ

 ft3

-.07

-.27

.05

_ n«

+ ni

+.02

+.01

Normal equation, 10.4A«+1.174aw +0.199ae+0.502c 2.426=0 

Normal equation. 1 +0.113 +0.019 +0.048 0.233=0 

Adopted aw =+0'.40 ae=+0".40 c=+0'.08

(229)
58 , LATITUDES AND LONGITUDES. [BULL. 49.

TABLE III. Details of time toorfc Continued.

Chronometer slow 3m 09s. 18 at 23h . 75. 

[North Springfield, Mo., November 13, 1884. Before signals. Observer, Woodward.]

Name of star. Clamp.

W.

W.

E.

E.

Weight.

1.0

.9

.4

1.0

1.0

.6

1.0

0.9

1.0

.4

1.0

.6

.7

A

+0.76

 .33

-2.50

+ .46

+ .27

 1.15

+ .84

+0.10

+ .40

-2. 32

+ .70

-1.32

- .87

G

+1.02

1.55

4.03

1.02

1.09

2.42

+1.04

-1.34

1.03

3.81

1.01

2.61

-2.11

t

h. m. s. 

22 24 48.95

26 49.46

30 33.43

35 59.25

41 15.27

45 52.54

48 48.22

21 56 53.78

59 17.43

22 04 32.84

08 37.28

14 11.74

20 00.62

V

s. 

+.01

+.06

-.01

+.09

-.01

+.11

-.02

+.01

 .07

+ .32

-.16

+.05

-.15

Normal equation, 10.5A< 1.319aw+0.343ae+0.816c+l. 653=0

Normal equation, 1 0.126 +0.033 +0.078 +0.157=0

Adopted ato= 0-.25 ae= 0s. 25 c=-OMO

Chronometer fast 15". 17 at 22h. 82.

[North Springfield, Mo., November 13,1884. After signals. Observer, Woodward.]

Name of star.

Or. 4163.................

V T^PCfQQl

iCeti. ....................

Clamp.

E.

E.

W.

W.

Weight.

1.0

.4

1.0

.8

3.0

1.0

].0

.8

1.0

A

+0.34

- 2. 13

+ .52

 70

+ .40

+0.74

+ .59

 .46

+ .14

0

1.05

3.58

1.01

1 Q9

 1.03

+1.01

1.00

1.67

+1.16

t

h. m. s. 

23 46 54.06

49 33.95

53 40.03

no 03 IQ 8a

07 34.65

00 13 49.86

19 46.36

30 51.23

33 26.96

V

8.

+.02

+.03

+.02

+ f\n

-.03

+.05

 +.06

+.01

.16

Normal equation, 8. OAt+1.102ae 0. l5Zaw 1.552c+0.726=0 

Normal equation, 1 +0.138 0.019 0.194+0.091=0 

Adopted aw = 0s. 15 a(= OM5 c=-0».05

Chronometer fast 15s. 08 at 00b. 16.

(230)
"WOODWARD.] DETAILS OF TIME WORK.

TABLE III. Details of time work Continued. 

[North Springfield, Mo., November 14, 1884. Before signals. Observer, Woodward.]

Name of star.

226 Cephei. ................

Clamp.

E.

E.

W.

W.

Weight.

1.6

:9

.4

].0

1.0

1.0

O n

1.0

.4

1.0

.6

.7

A

+0.76

 .33

 2.50

+ .46

+ 97

-4- 84.

-0.10

+ .40

0 Q9

+ .70

-1.32

fi7

0

-1.02

1.55

4.03

1.02

1.09

-1.04

+1.34

1.03

3.81

1.01

2.61

J.9 11

t

h. m. s. 

22 24 44.55

26 45.49

30 30.13

35 54.88

41 11.10

48 43.74

22 56 50.35

59 13.63

23 04 30.71

08 33.36

14 08.54

in Ry ei

V

S.

+.06

+.02

-.14

-.01

.00

-.02

+.21

+.08

+.16

+.03

-.36

1O

Normal equation, 9.9A«+1.038ae 1. 319aw+0.636c+3.229=0

Normal equation, 1 +0.105 0.133 +0.064+0.326=0

Adopted aw=+Q'. 30 ag=+0s. 30 c= 0s. 05

Chronometer fast 11». 31 at 22b . 82.

[North Springfield, Mo., November 14,1884. After signals. Observer, Woodward.]

Name of star.

Gr. 4163. ................

12 Ceti. ....................

Clamp.

W.

W.

E.

E.

Weight.

0.6

1.0

.4

1.0

.8

1.0

1.0

1.0

1.0

.8

1.0

9

A

 1.29

+ .34

-2.13

+ .52

 .70

+ .40

+0.74

+ .59

+ .67

- .46

+ .14

 .27

0

+2. 58

1.05

3.58

1.01

1.92

+1.03

-1.01

1.00

1.00

1.67

1.16

1.48

t

h. m. s. 

23 42 39.79

46 50.25

49 31.36

53 36.08

00 03 16.23

07 30.66

00 13 45.47

19 41.97

24 21.71

30 47.32

33 22.96

38 32.18

V

8.

+.06

+ flQ

-.12

4- 04

-.29

-.10

+.03

-.02

+.05

+.03

-.03

+ 1 Q

Normal equation, 10.5At+l. 529aw-0.926ae+0.768c+l. 950=0 

Normal equation, 1 +0.145 -0.088 +0.073 +0.186=0 

Adopted aw =+0J. 30 a6=+0".30 c=-0'.10

Chronometer fast 11». 20 at 00h. 03.

(231)
 60 LATITUDES AND LONGITUDES. [BULL. 49..

TABLE III. Details of time work Continued. 

[North Springfield, Mo., November 15,1884. Before signals. Observer, Woodward, j

Name of star. Clamp.

W.

W.

Weight.

1.0

1.0

1.0

A

+0.46

+ .27

+1.07

0

+1. 02

1.09

+1.16

i

h. m. 8. 

22 35 51.34

41 07. 55

K1 nA on

V

S.

+.02

+.06

no

Normal equation, 3.6A(+1.110aw+4.722c+2. 542=0

Normal equation, 1 +0.308 +1.312 +0.706=0

Adopted aw=+0". 12 c=-0". 02

Chronometer fast 71.61 at 22h. 71.

[North Springfield, Mo., November 15,1884. After signals. Observer, Woodward.]

Name of star.

Gr. 4163. ................

i Ceti. ....................

40 Cassiopeae ..............

Clamp.

E.

E. 

W.

W.

E.

E.

Weight.

1.0 

1.0 

.4 , 

1.0

.7 

.9

1.0 

1.0 

.8 

1.0 

1.0

0.7 

1.0 

1.0 

.5

A

+1.04 

+ .34 

-2.13 

+ .52 

- .70 

- .20

+0.74 

+ .59 

- .46 

+ -I* 

+ .26

-0.78 

+ .50 

+ .56 

-1.91

0

-1.14 

1.05 

3.58 

1.01 

1.92 

-1.43

+ 1.01 i 

1.00 

1.67 

1.16 

+1.09

-2.01 

1.01 

1.00 

-3.32

t

h. m. s. 

23 43 03.55

46 46.31 

49 26.73 

53 32.26 

00 03 12.48 

04 29.60

00 13 42.04 

19 38.61 

30 43.76 

33 19.46 

41 23.10

00 49 56.58 

57 06.51 

01 12 00.26 

29 33.44

V

s. 

+.03

-.05 

-.17 

-.03 

+.06 

-.11

+.07 

+.12 

+.09 

+.02 

.00

-.01 

 .21 

+.03 

+.15

Normal equation, 13. OA«+1.362ae -0.063^-6.744c + 5.947=0 

Normal equation, 1 +0.105 -0.005 -0.519+0.457=0 

Adopted ato=+0». 12 . , «e=+OM2 . c=-0'.02

Chronometer fast 7'. 48 at 00h. 39.

(232)
WOODWARD.] DETAILS OF TIME WORK.

TABLE III. Details of time world Continued. 

[North Springfield, Mo., November 16, 1884. Before signals. Observer, Woodward.]

61

Name of star. Clamp.

W.

W.

E.

E.

"Weight.

0.9

1.0

1.0

.6

1.0

1.0

.9

1.0

.4

1.0

A

-0.33

+ .46

-I- 97

-1.15

+0.84

+1.07

- .10

+ .40

-2.32

+ .70

0

+1.55

1.02

1.09

+2.42

1.04

i.ic

1.34

I

ftl

3.81

-1.01

t

h. m. s.

22' 26 38.83

35 48.60

41 04.51

45 41.49

99 48 Wl ?.<\

51 22.14

56 43.15

59 06.95

23 04 22.17

08 26.69

0

8.

+.16

_1_ 19

no

9<i

ft9

.00

-.01

+.09

+.09

 .10

formal equation, 8.8AM-1.992aw-0.257afl-2.013c-}-5.274=0

Normal equation, 1 +0.226 -0.029 0.226+0.593=0

Adopted aw= OM8 o8= OM8 c=-0'.08

Chronometer fast 4>. 58 at 22h. 81.

[North Springfield, Mo., November 16,1884. After signals. Observer. Woodward.]

p Name of star.

41 H. Cephei. ...... ........

 w "PpcrnQi

Clamp.

E.

E.

W.

W.

Weight.

1.0

.6

1.0

1.0

.8

1.0

1.0

1.0

.8

.8

A

+0.88

-1. 29

J_ Qd

+ .52

- .70

. +0.40

+ .74

+ .59

- .46

- .57

0

-1.06 .

2.58

1.05

1.01

-1.92

+1.03

1.01

1.00

1.67

+1.78

t

h. m. s. 

23 38 18.53

42 32.34

46 43.28

53 23.05

00 03 09.35

ftn (w 91 na

19 35.47

30 40.85

34 06.20

V

8.

-.04

-.01

+.04

-.08

> +.01

+ fl3

+.01

-.01

-.01

+.07

Normal equation, 9. OAt+0.906afi+0.406aw-0.404c+3.964=0

Normal equation, 1 +0.101 +0.045 -0.045+0.440=0

Adopted att=+0'.25 o4=+0«.25 c=-OMO

Chronometer fast 4». 48 at 00b. 03.

(233)
62 LATITUDES AND LONGITUDES.

TABLE III. Details of time tuork Continued. 

[Bolivar, Mo., December 15,1884. Before signals. Observer, Woodward.]

[BULL. 49.

Name of star.

rCeti. ....................

£s Ceti ................ ...

<5Ceti..... ................

Clamp.

W.

W.

E.

E.

Weight.

0.9

1.0

.7

1.0

.5

1.0

1.0

.6

1.0

.5

1.0

A

0.07

+ .85

- .95

+ .32

1.81

+ .28

+0.09

 1.25

+ .50

-1.87

+ .61

0

+1.32

1.04

2.21

1.07

3.21

+1.09

-1.20

2.55

1.01

9 9Q

 1.00

«

h. m. s. 

1 28 32.15

37 13.55

44 36.29

46 46.59

52 06.77

59 10.84

2 08 58.17

18 04.97

20 32.52

25 36.14

32 05.23 '

V

8. 

.00

+.11

-.24

-.06

+.30

 .06

 .01

+.03

+.06

-.17

.00

Normal equation, 9.2At-0.183aw 0.485ae+l. 155c-21.653=0 

Normal equation, 1 0.020 0.053 +0.125 2.453=0 

Adopted aw= 1s. 86 ae=-l'.86 c=+03.03

Chronometer slow lm 32s. 21 at 2h . 10.

[Bolivar, Mo., December 15, 1884. After signals. Observer, Woodward.]

Name of star.

/ TaiTri

il Tauri. ..................

£ ^Al*ftOl

Clamp.

E.

E.

W.

W.

Weight.

0.3

1.0

.9

1.0

1.0

0.5

1.0

1.0

1.0

.9

A.

-2.90

j. 11

- .32

+ .43

_i- 7<;

-1.69

+ .26

+ .12

_. O1

_ 9*1

0

_4 5*

1.07

1 U

1.02

-1.'02

+3.07

1 no

1.17

i n?

+1.48

t

h. m. s. 

3 04 15.25

06 47.07

14 36.07

23 01.12

26 00.77

3 36 43.28

on no no

45 23.25

51 09.80

58 47.80

t>j

s. 

+.26

+.11

-.07

_ no

+.01

+.45

+.01

-.24

-.10

.16

Normal equation, 8. 6At+0.332ae+0.120»u> +0.296c 21. 386=0

Normal equation, 1 +0.039 +0.014 +0.035 2.487=0

Adopted au,= -l'i86 ae=-l».86 c=+0".07

Chronometer slow lm 32s. 58 at 3h. 53.

(234)
WOODWABO.] DETAILS OF TIME WORK.

TABLE III. Details of time work Continued. 

[Bolivar, Mo., December 18, 1884. Before signals. Observer, Woodward.]

63

Name of star. Clamp.

E.

E.

W.

W.

Weight.

0.8

1.0

.9

1.0

.7

1.0

.2

1.0

.8

1.0

.9

A

-0.45

+ .15

- .26

+ .51

.77

+0.51

-3.48

+ .57

- .74

+ .40

- .27

0

-1.67

1.16

1.48

1.01

-2.01

+1.01

5.27

1.00

1.98

1.03

+1.50

t

h. m. 8. 

00 28 49.99

31 24.51

86 34.80

40 55.18

48 04.18

00 55 10.72

1 00 53.25

10 04.11

16 35.88

23 32.54

29 12.21

V

8.

-.19

+.11

+.31

+.06

+ 13

 .05

+.04

-.02

-.18

-.15

+.01

Normal equation, 9.3A«-0.473a8-o. osia^+o. 783c-59. C83=o

Normal equation, 1 0.051 -0.005 +0.084 6.418=0

Adopted aw=+3'. 35 «e=+3'.25 c=-0'.05

Chronometer slow lm 46'. 61 at 00h . 94.

[Bolivar, Mo., December 18,1884. After signals. Observer, Woodward.]

Name of star.

f'Ceti ....................

JCeti. ....................

41 Arietis. .................

Clamp.

W.

W.

E.

E.

Weight.

1.0

1.0

1.0

.9

1.0

.8

A

+0.28

+ .50

+0.61

- .29

- _L 91

 41

0

+1.09

+1.01

-1.00

1.52

1.12

-1.63

t

h. m. s. 

1 58 54.89

 2 20 14.91

2 31 46.78

34 36.97

41 26.29

44 24.61

V

8.

j- 31

-.02

-.02

+.14

-.04

-.47

Normal equation, 5. 7A«+0.780aul+0.231ae -2.692c-44.282=0 

Normal equation, 1 +0.137 +0.040 -0.473-7.769=0 

Adopted aw =+3".35 ae=+&. 75 c=-0«.05

Chronometer slow lm 47». 13 at 2b. 46.

(235)
64 LATITUDES AND LONGITUDES.

TABLE III. Details of time work Continued. 

[Saint Louis, Mo., Angnst 29,1884. Before signals. Observer, Pritchett.l

[BULL. 49.

Name of star.

ft Lyra ..................

/SCygni...... ............

Clainp.

E.

E.

W.

W.

Weight.

1.0

.9

1.0

1.0

1.0

1.0

.9

1.0

1.0

1.0

A

+0.31

-1.88

+ .11

+ K7

+ .43

+0.02

' -1.96

+ .58

J- 91

+ .38

C

-1.08

3.36

1.20

1.00

_ i no

+1.27

3.45

1.00

1.13

+ 1.05

t

h. m. s. 

1 44 58.54

49 21.50

8 11 56. 89

16 35.42

°6 11 11

8 38 26.56

49. U Ql

JK JQ At)

52 06.20

9 01, 52. 30

V

s. 

+ .03

-.01

+.08

+ 90

.06

+ (14.

-.13

-.04

-.10

OA

Normal equation, 9.8A«-0.272a8 -0.574aw+0.221c+20.258=0

Normal equation, 1 -0.028 -0.059 +0.023 + 2.067=0

Adopted aw =+ll. 12 oer=+l'. 12 c=0'.47

Clock fast 49'. 96 at 8h. 45.

[Saint Louis, Mo., August 29, 1884. After signals. Observer, Pritohett]

Name of star. Clamp.

W.

W.

E.

E.

Weight.

1.0

1.0

.8

1.0

1.0

1.6

1.0

1.0

A

+0.64

- .20

-2.87

+ .47

+0.43

+ .41

+ -11

- .81

O

+ 1.00

1.45

4.58

+ 1.02

_i n°.

1.04

1.20

-2.09

f

h, m. g. 931 ifi 31

35 56.17

38 49.58

co qq Aq

9

C7 KQ 7q

10 00 06.76

07 21.92

08 47.43

V

s.

+ /1O

.04

+ .01

.00

+.05

.01

-.04

+.01

Normal eqiiation, 7.8A«-1,3860^+0.140afl+l. 774c+10.136=0 

Normal equation, 1 -0.178 +0.018+0.230 + 1.300=0 

Adopted aw =+l'. 17 »e=+l«.01 > « = +0'.47

Clock fast 50». 00 a 9". 87.

(236)
WOODWARD.] DETAILS OF TIME WORK.

TABLE III. Details of time work Contmued. 

[Saint Louis,. Mo., August 30, 1884. Before signals. Observer, Pritchett.].

65

Name of star. Clamp.

E.

E.

W.

W.

Weight.

.9

1.0

1.0

1.0

1.0

1.0

.9

1.0

1.0

1.0

A

-1.88

+ .33

+ .11

+ .57

+ .43

+0.02

-1.96

+ .58

+ .21

+ .38

C

-3.36

1.07

1.20

1.00

-1.03

+1.27

3 45

1.00

1.13

+1.05

t

h. TO. s. 

7 45 25.01

8 02 53. 92

08 00.82

12 39.35

32 15.40

8 34 29.98

39 57. 91

41 46.92

48 09.71

57 55.84

V

s. 

+.05

+ .02

+.03

.00

+.04

+ .01

.00

-.05

-.05

.00

Normal equation, 9.8A<-0.252a -0.574aH1 +0.23k+16.446=0

Normal equation, 1 0.026 0.059 +0.024 + 1.678=0

Adopted aw=+0s.95 a6 =+l".08 c=-0'.26

Clock fast 49'. 58 at 8"'. 43.

[Saint Louis, Mo., August 30, 1884. After signals. Observer, Pritchett.]

Name of star. Clamp.

W.

W.

E.

E.

"Weight.

. 1.0

1.0

.8

1.0

1.0

1.0

1.0

1.0

A

+ 0 64

- .20

-2.87

+ .47

+0.43

+ .41

+ .11

- .81

0

+1.00

1.45

4.58

+1.02

-1.03

1.04

1.20

-2.09

t

h. m. s.

9 97 1Q fi^

31 59.52

34 51.88

AQ *>7 OC

9 63 02.65

56 10.69

10 03 25.92

04 51 48

V

«.* 

+ .06

-.01

-.01

 03

+ AO

AQ

.00

.00

Bull.49-

Normal equation, 7. 8At 1. 386aw +0.140ae+l. 774c+14. 220=0 

Normal equation, 1 -0.178 +0.018 +0.230+1.823=0 

Adopted aro = + l».08 ae=+Q'.92 c=-0".24

Clock fast 49'. 59 at 9h . 80.

(237)
66 LATITUDES AND LONGITUDES.

TABLE III. Details of time work Continued. 

[Saint Louis, Mo., August 31,1884. Before signals. Observer, Pritchett.J

[BULL. 49.

Name of star.

HOHerculis ...............

/3Cygni.... ..............

Clamp.

E.

E.

W.

W.

Weight.

0.9

1.0

1.0

1.0

0.9

1.0

1.0

1.0

A

__1 fift

+ *M

+ .13

+ .43

-1.96

+ .58

+ 91

+ .38

(7

-3.36

1 07

1.19

-1.03

+3.45

1.00

1.13

+1.05

t

h. in. s. 

7 41 29.33

58 57.51

8 12 51.40

18 18.91

8 36 01.10

37 50.57

44 13.22

53 59.38

V

 s. 

.00

+.03

.00

-.03

+.04

+.05

-.06

.00

Formal equation, 7.8A«-0.792oe -0.594au)-0.029c+9.600=0

Normal equation, 1 -0.102 -0.076 -0.004+1.231=0

Adopted aw = + 1». 00 ae= +1'. 00 c - - 0s. 21

Clock fast 49'. 05 at 8h. 39.

[Saint Louis, Mo., August 31, 1884. After signals. Observer, Pritchett.]

Name of star. Clamp.

W.

W.

E.

E.

Weight.

1.0

1.0

.8

1.0

1.0

1.0

1.0

1.0

A

+0.64

- .20

-2.87

+ .47

+0.43

+ .41

+ .11

- .81

O

+1.00

1.45

4.S8

+1.02

_1 03

1.04

1.20

9 no

t

h. m. s.

25 03.10

30 55.51

45 41.04

9 50 06.25

52 14.25

CQ OQ Af\

10 00 54.91

V

s. 

.04

no

+.17

.11

+ i*>

+.02

.03

ni

Normal equation, 7.8A«-1.386au)+0.140a8+l 774c+10.288=0

Normal equation, 1 0.178 +0.018 +0.228+1.319=0 

Adopted aw=+0s. 95 ae=+0'.95 c=-0'.31

Clock fast 49". 10 at 9h .73. .

(238)
WOODWARD.] DETAILS OF TIME WORK.

TABLE III. Details of time rvork Continued. 

[Saint Louis, Mo., September 1, 1884. Before signals. Observer, Pritchett.}

6?

Name of star.

/SSagittas.... ..............

Clamp.

E.

E.

\V

W.

Weight.

0.9

1.0

1.0

1.0

1.0

1.0

.0

1.0

1.0

1.0

A

-1.88

+ .11

+ r\7

+ 10

-I- <n

+0. 02

_ 1 OR

+ .58

+ .21

+ .38

0

-3.36

. 1.20

1.00

1.19

+1.27

^ 4<;

1.00

1.13

+1.05

t

h. m. ». 

1 37 33. 7»

8 00 08.63

04 47.10

08* 55.60

14 23.23

8

f)f\ 07 QO

32 05.40

40 17.49

50 03.63

V

*.

 04

+.02

.02

 .08

+.11

-*.lffi

+.0&

-.0*

-.08

-.03

Normal equation, 9.8AM. 452ad -0.674a,0 +0. Ulc+13.453=0

Normal equation, 1 0.046 0.059 +0.012+ 1.373=0 

Adopted », =+!».02 «6 =+lM9 c=-0».23

Clock fast 49'. 25 at 8h . 32.

[Saint Louis, Mo., September 1, 1884. After signals. Observer, Pritchett.J

Name of star.

eCy«iii...... .............

Clamp.

W.

W.

E.

E.

"Weight.

1.0

1.0

.8

1.0

1.0

1.0

1.0

1.0

A

+ 0.64

- .20

-2. 87

+ -47.

+ 0.43

+ .41

+ .11

Q1

a

+1.00

1 4.n

4. .18

+ 1.02

-1.03

1 fU.

1.20

o (,g

t

h- in. s. 

9 1!) 27.67

24 07.24

26 59.63

41 45.22

9 46 10.39

48 18.50

56 5'J 17

V

8. 

+.11

.07

(13

+.02

+.02

+.02

-.07

.00

Normal equation, 7. 8A£ 1.380ft(()+0.140aa+l. 774c+ll. 080=0 

Normal equation, 1 -0.178 +0.018 +0.228+1.420=0 

Adopted aw =+l'. 10 ae=+0'. 90 c=-0'. 26

, * Clock fast 49". 18 at 0*. 6G.

(239)
68 LATITUDES AND LONGITUDES.

TABLE III. Details of time work Continued. 

[Saint Louis, Mo., September 2, 1881. Before signals. Observer, Eamel.]

[BULL. 49.

Name of star. Clamp.

E.

E.

w.

W.

Weight,

0.9

1.0

1.0

1.0

1.0

1.0

.9 x

1.0

1.0

1.0

A

-1.88

+ .11

J- VI

+ .13

+ .43

+0.02

-1.96

+ .58

+ .21

+ .38

0

-3.36

1.20

1.00

1.19

-1.03

+1.27

3.45

1.00

1.13

+1.05

t

h. in. s. 

7 34 37.42

57 12.40

8 00 50.97

04 59.39

10 27.00

8 22 41.49

28 09.10

29 58.68

36 21.40

46 07.50

V

s. -.02

+.01

+.01

 .08

+.02

-.05

.00

+.04

+.01

+.03

Normal equation, 9. 8M-0.452afl 0 574aw +0. lllc+10.869=0 

Normal equation, 1 -0.046 -0.059 +0.011 + 1.109=0 

Adopted aw =+l'.00 ae=+ls.09 c=-0'.22 

Clock fast 49'. 00 at &>. 24.

[Saint Lonis, Mo., September 2, 1884. After signals. Observer, Rarnel.]

Name of star. Clamp.

W.

W. ,

' E.

E.

"Weight.

1.0

1.0

.8

1.0

1.0

1.0 

1.0

1.0

A

+ 0.64

-- .20

-2.87

+ .47

+0.43

+ .41

+ .11

81

0

].45

4.58

+ 1.02

1.04

1.20

-2.09

t

h. m. 8. 

9 15 31.47

20 11.16

23 03.13

37 49 09

44 22/35

51 37.40

52 03.02

V

s.

+ .05

+.08

+.06

on

.05

a. n<i

.10

.02

Normal equation, 7. SAt-1.386a((j+0.140ae-fl. 774c+8.942=0 

Normal equation, 1 -0.178 +0.018 +-0.228+1.146=0 

Adopted a(p =+l». 01 ae=+0s. 93 c= -0'. 24

Clock fast 48'. 93 at 9h . 60.

(240)
WOODWARD.] DETAILS OF TIME WORK.

TABLE III. Details of time work Continued. 

[Saint Louia, Mo., September 25, 1834. Before signals. Observer Pritcliett.]

69

Name of star.

yCygni...... ..............

^Cygni...... ..............

Clamp.

E.

E.

W.

W.

Weight.

1.0

.8

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

 « i.o

A

0.20

-2.87

03

+ .47

+ .43

+ -41

-0. 15

+ . 11

- .81

1 ID

+ .56

+ .33

1.52

+ .50

0

1.45

1 <in

1.02

1.03

-1.04

-(-1.41

1.20

2

AQ

1.15

1.00

LOG

2. P3

+ 1.91

I

h. in. g. 

7 49 44 41

51 33.50

57 48.19

8 07 2° 77

U AQ f»7

13 50.45

8 16 10.23

91 11 C7

4->o 07 07

47 3(5.41

49 37.35

50 18.27

18 00.75

V

8.

.08

+.02

19

-4- 09

+.06

+ .06

-.06

10

+.05

+.07

+.07

-.02

+ .01

+ .02

Normal equation, 13. 7A£ 1.216^-0. C28aro +2.053C+18. 731=0 

Normal equation, 1 -0.039 -0.046 +0.150+1.307=0 

Adopted aw = + 0». 87 «e= + 0".87 e=-OM4

Clock fast 49s. 23 at 8b. 44.

[Saiut Louis, Mo., September 25,1884. After signals. Observer, Pritckett]

Name of star.

^Pegasi ..................

Clamp.

W.

W.

E.

E.

"Weight.

1.0

.9

1.0

1.0

1.0

1.0

1.0

A

+ 0.64

-1.75

+ .61

^ft

+ 0.63

.00

+ .48

C

+ 1.00

3.20

1.00

+ 1.55

-1. 00

1.28

-1.02

t

h. in. g. 

9 39 17.51

47 06.21

58 45.93

10 05 56.08

10 08 46.59

13 26.53

15 02.84

V

K.

+ .01

+ .05

-.08

.10

-.03

-.01

+ .15

Normal equation, 6. 9d( 0. 325aw +0. 810afl+3.130c+7. 742=0

Normal equation, 1 0.047 +0.118 +0.454+1.122=0

Adopteda^ + 1". 00 «,e=+l8 .00 c= OM4

Clock fast 49». 13 at 10". 02.

(241)
70 LATITUDES AND LONGITUDES.

TABLK III. Details of time work Continued. 

ISarat Louis, Mo., September 28, 1884. Before signals. Observer, Pritchett.]

[BULL. 49.

Name of star.

<xr.32tl .................

«Cygiri.... ...............

.rCygni...... .............

Br, 2777. ................

Clamp.

E.

E.

W.

W.

Weight.

1.0

.9

1.0

1.0

1.0

1.0

1.0

.8

1.0

1.0

A

-0.03

-1.80

+ .43

+ -41

+ .11

+0.22

- .05

-2.98

+ .56

+ .35

G

-1.30

3.2fi

1.03

1.04

-1.20

+1.13

1.32

4.65

i.oo

+1.06

t

h. TO. s. 

1 40 00.77

58 26.62

8 00 01.01

02 09.14

09 24.21

8 17 29.11

20 42.82

35 41.84

37 50.10

44 31.03

v '

s. -.05

+.02

1 .00

+.03

-.07

+ .04

+.04

-.02

.00

+.04

Normal equation, 9.7A«-0.700ae-l. 304o)(+0.726c+16.440=0

Normal equation, 1 -0.072 -0.135 +0.075+1.694=0

Adoptedaw =+0'.90 oe=+li.'00 c=-0'. 10

Clock fast 49'. 49 at 8b. 22.

[[Saint Louis, Mo., September 28, 1884. After Signals. Observer, Pritchett.]

"Name oif star.

SCephei. ..................

Clamp.

W.

TV.

E.

E.

Weight.

1.0

1.0

1.0

1.0

1.0

1.0

1.0

0

A

+0. 50

- .27

4- fi4

 .61

-0.30

+ .48

+ 18

-i.io'

o

+1.01

1.52

1.00

+1.87

-1.55

1.02

1.15

9 19

t

h. in. g. 

9 06 13.52

10 15.07

27 30 10

34 31.33

9 53 07.77

10 03 15.1,5

04 08.44

13 08.48

V

s.

+.09

+.01

.05

+ 09 ,

+.01

+.04

-.04

lift

Normal equation, 7. 9A«+0. 260at() -0. esOn 0. 498c+9. 846=0 

Normal equation, 1 +0.033 0.080 0.063+1.246=0 

Adopted at() =+0'75 ae=+0J. 60 c= 0'. 28

Clock fast 49'. 24 at 9h . 68.

(242)
WOODWABD.] DETAILS OF TIME WORK.

TABLE III. Details of time work Continued. 

[Saint Louis, Mo., October 2,1884. Before signals. Observer, Pritchett]

71

Name of star.

iCygni. ..................

16 Pegart ...............'...

Clamp.

IS.

E.

W.

W.

Weight.

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

.9

1.0

1.0

1.0

1.0

A

+0.43

+ .41

+ .11

- .81

+ .22

-0.05

+ .18

+ .50

+ .35

-1.53

- .03

+ .50

_L OK

+ RA

0

-1.08

1.04

1.20

2.09

-1.13

+1.32

1.15

1.00

1.06

2.93

1.30

1.01

1.11

+ 1.00

t

h. m.. «.

7 ild T» fii

46 23.74

53 38.67

55 03.29

8 01 43.30

8 04 58.16

20 04.52

22 05.44

28 46.39

39 14.15

44 19.21

Rft OB 79

59 45.40

9 11 45.50

V

8.

.00

+.01

-.04

-.02

-.05

+.05

-.01

-.00

+.03

+.04

+.13

19

+ .04

-.00

Normal equation, 13.9At+0.360ae+l. 023a((+5.097c+10.091=0

Normal equation, 1 +0.026 +0.074 +0.367 + 1.157=0

Adopted aw =+0«. 65 «8=+0«. 65 c= -0'. 48

Clock fast 48". 05 at 8". 35.

[Saint Louis, Mo., October 2,1884. After signals. Observer, Pritcliett.J

Name of star. Clamp.

W.

W.

B.

E.

Weight.

1.0

1.0

1.0

. 1.0

.9

1.0

.8

1.0

1.0

1.0

A

 0.30

+ .63

.00

+ .48

 1.10

-0.07

2.25

J. 90

+ .62

+ .46'

0

+1.55

1.00

1.28

1.02

. +2. 42

 1.34

3.81

1.09

1.00

-1.02

t

h. m. s. 

9 38 24. 17

41 14.92

45 55. 02

47 31.02

57 25.88

10 08 21.94

1C 02.25

20 37.22

32 41.19

34 '59.19

V

s. -.02

-.05

+ .08

 .01

+.09

-.07

+.01

 .01

+.01

+ .02

Normal equation, 9.7At 0.180&w 0.500«e 0.470c+ll. 180=0

Normal equation, 1 0.019 -0.052 0.048 + 1.152=0

Adopted aw=+0'. 79 ae =+Ob. 70 c = - 0'. 48

Clock fast 48'. 12 at 10". 07.

(243)
-72 LATITUDES AND LONGITUDES.

TABLE III. Details of time ivork Continued. 

[Saint Louis, Mo., October 6,1884. Before signals. Observer, Pritchett.]

Name of star.

32 Vulpeculse .. _ .........

CICygni. ..................

Clamp.

W.

w.

E.

E.

Weight.

1.0

1.0

1.0

1.0

1:0

1.0

1.0

1.0

.9

1.0

1.0

1.0

A

+0.47

+ <n

+ -41

+ .11

- .81

+ .22

+0.01

+ .35

-1.53

+ .50

1 .or;

+ .64

G

+1.02

i HI

1.04

1.20

2.09

+1.13

-1.27

1.06

2.93

1.01

1.11

-1.00

t

h. in. s. 

7 24 08.38

28 34.05

30 42.13

37 57.27

3D 22.61

46 01.75

7 58 03.96

8 13 02. 8i

oo OR 47

34 45.35

44 01.78

56 02.09

V

8. -.01

+ O9

+.01

+ <v<

+ 09

-.05

-.06

-L fl">

1O

.00

+.01

 01

Normal equation, 11.9A«+0.830aw+0.373«c -0. 577c+12.678=0

Normal equation, 1 +0.070 +0.031 -0. 048 + 1.065=0

Adopted aw =+0». 60 ^=+0". 60 c--0s: 45

Clock fast 49'. 15 at 8". 10.

[Saint Louis, Mo., October 6, 1884. After signals. Observer, Pritchett.]

Name of star. Clamp.

E.

E.

W.

W.

Weight.

1.0

.9

1.0

1.0

1.0

1.0

1.0

.9

A

-1-0.13

-1-.75

+ .61

+0.63

+ .48

, 1(5

-1.10

G

-1.19

3.20

1.00

-1.00

+1.00

1.02

1.15

+ 2.42

t

h. in. s.

02 48.22

11 49.85

15 30.57

9 25 32.45

31 48.51

33 41.98

V

8. 

+ .03

-.01

-.02

-.05

-.01

+ .02

+.03

Normal equation, 7.8M-0.185ae +0.300aw -0.722c+8.822=0

Normal equation, 1 -0.024 +0.038 -0*. 093+1.131=0

Adopted aro =+0'.65 ae=+0'.65 " c=-0'.47

Clock fast 49'. 18 at 9h . 34.

. ' (244)
WOODWARD.] DETAILS OF TIME WORK.

TABLE III. Details of time worlc Continued. 

[Saint Louis, Mo., October 17, 1884. Before signals. Observer, Pritchett.]

Name of star. Clamp.

"W.

W.

E.

E.

Weight.

1.0

1.0

Q

1.0

1.0

1.0

1.0

.9

A

4 0 64

+ 19

_ 1 75

+ .05

+0.61

+ .63

+ .18

-1.10

0

+1.00

1.10

+1.00

-1.00

1.00

1.15

-2.42

t

h. in. s. 

8 13 10.55

18 10.86

on K7 71

28 58.41

8

00 OQ QA

42 39.90

50 49.27

58 49.38

V

s. 

+ no

.06

.00

+.01

no

+.07

4.03

-.01

Normal equation, 7.8A«-0.165«w+0.430^+0.742c+9. 536=0

Normal equation, 1 -0.021 +0.055 +0.095+1.223=0

Adopted aro=+0'.69 ae=+0'.71 c=-0«.ll

Clock 'fast lm 12». 24 at 8h . 55.

[Saint Louis, Mo., October 17, 1884. After signals. Observer, Pritcbelt.l

Name of star.

 yn T*«imei

Clamp.

E.

E.

AY.

W.

Weight.

1.0

1.0

.8

1.0

1.0

1.0

1.0

1.0

A

 0. 07

4- i'J>

 2. 25

+ .62

+0.46

- .10

+ .56

 .65

0.

 1.34

1.03

3.81

1.00

+1.02

1.30

1.00

' +1.92

t

h. m,. s. 

9 09 47.91

11 10.75

17 28.35

34 07.12

9 36 25.31

45 34.51

47 05. 1C

10 15 03. 79

V

s. 

+ .01

+.05

 .03

-.02

+.01

+.01

 .05

 .01

Normal equation, 7.8A«-0. 830ae+0. 270a(() -l. 118c+9.946=0 

Normal equation, 1 -0.106 +0.035 -0.143+1.275=0 

Adopted am = +0». 55 « =+<>'. 55 c= -0«. 09

Clock fast 1 12'. 25 at 9". 58.

(245)
74 LATITUDES AND LONGITUDES.

TABLE III. Details of time work Continued. 

[Sahit Louis, Mo., October 18,1884. Before signals. Observer, Pritchett.l

[BULL. 49.

Name of star.

pCephei.... ..............

Clamp.

W.

W.

E.

E.

Weight.

0.9

1.0

1.0

1.0

1.6

9

"

1.0

A

-1.53

+ .50

+ 91;

4- fU

+0.13

1 71

+ fl1

0

+2.93

1.01

1.11

+1.00

-1.18

3.20

1.00

t

h. TO. 8. ' 

1 36 42.76

47 58.91

57 15.37

8 no IK KA

8 13 15.83

n ftl 04.

28 44.15

V

8.

-.02

+.02

+.01

.01

-.09

+.03

+.05

Normal equation, 6.8A(+0.013aw -0.835«g+0.697c+8.867=0 

Normal equation, I +0.002 -0.123 +0.102+1.304=0 

Adopted au,= +0'. 65 ag=+0«.57 c=-0-.08

Clock fasti 13'. 23 at 8". 07. ,

[Saint Louis, Mo., October 18,1884. After signals. Observer, Pritchett.]

Name of star. Clamp.

E.

E.

W.

W.

"Weight.

1.0

1.0

1.0

1.0

.9

1.0

.8

1.0

1.0

1.0

A

+0.63

.00

+ 18

-1.10

-0.07

9 *><\

+ 9O

+ .46

- .56

0

-1.00

1 98

1.02

1.15

-2.42

+1.34

3.81

i no

1.02

+1.00

t

h. m. s. 

8 38 45.08

43 24.72

45 01.09

46 54.23

54 54.52

9 05 53.39

13 34.80

t)A nfl ^

32 30.53

43 10.31

»

«. 

+.04

-.01

+.02

.21

AO

+.02

+.05

+ {\i

1 1 0

nri

Normal equation. 9. 7A<+0.300«e 0. SOOa^+0.870c+13.612=0 

Normal equation, 1 -f 0.031 -0.058 +0.090 + 1.403=0 

Adopted aOT =+0'.75 ae=+0'.68 c=-0'.ll 

Clock fast lra 13'. 37 at 9". 07. '

(246)
WOODWARD.] DETAILS OF TIME WORK. 75

TABLE III. Details of time work Continued. 

[Saint Louis, Mo., October 19,1884. Before signals. Observer, Pritchett.]

Name of star.

24 Conbei...... ............

Clamp.

\V

W.

E.

E.

Weight.

O n

1.0

1.0

1.0

1.0

Q

1.0

1.0

A

1 51

+ KA

+ .25

+ .64

+0.13

1 7<5

+ .65

C

I O QO

1.01

1.11

+1.00

1 in

3 °0

1.00

1.00

t

h. m. H. 

7 32 47,44

AA fi*l A\

53 19.80

8 05 20.12

8

1 A on OQ

13 06.69

91 fl7 flfi

24 48.44

V

s. -.05

+ 09

_ ni

.00

AA

+ AO

+.07

-.04

Normal equation, 7.8A«+0.013aw 0.185ae 0.313«+5.267=0 

Normal equation, 1 +0.002 -0.024 -0.040 +0.675=0 

Adopted aw =+0«. 75 ae=+05.75 <j=-0'.10

Clock fast lra 13s. 66 at 8h . 03.

[Saint Louis, Mo., October 19,1884. After signals. Observer, Pritchett.]

Name of star. Clamp.

E.

E.

W.

W.

"Weight.

1.0

1.0

1.0

1.0

.9

1.0

.8

1.0

1.0

1.0

A

+0.63

.00

j. ia

-1.10

-0.07

-2.25

-I- 9Q

+ .46

C

1.00

1.28

1.02

1.15

-2.42

+1.34

3.81

1.09

1.00

+1.02

t

h. m. s.

8 OA 4Q 44.

39 29.12

41 65.29

42 58.76

50 58.73

9 01 57.75

0 09 38.86

9f> 19 77

26 16.72

28 34.82

V

g.

+.00

+.08

11

ni

-.11

+.10

+.10

-.05

_ nfi

+.04

Normal equation, 9.7A<+0.300ae -0.500aI(,+0.870c+5.939=0 

Normal equation, 1 +0. 031 0. 052 +0. 090 +0. 612=0 

Adopted aw =+0'. 65 ae=+0>. 65 c=-0s. 10

Clock fast lra 13". 59 at 8b. 99

(247)
76 LATITUDES AND LONGITUDES.

TABLE III. Details of time ^vork Continued. 

[Saint Louis, Mo., October 22, 1884. Before signals. Observer, Fritchett.]

[BULL. 49.

Name of star. Clamp.

E.

E.

W.

W.

"Weight.

0.9

1.0

1.0

1.0

1.0

.9

1.0

1.0

A

 1.53

-L Z(\

_i_ fix

+0.13

 1.75

+ .65

+ .61

0

 2.93

1.01

1.11

-1.00

+1.19

3.20

1.00

+ 1.00

t

h. m. g. 

1 20 57.86

32 14.13

41 30.72

53 30.94

7 58 31.29

8 01 18.21

09 18.90

19 t*<\ ^K

V

S.

.00

09

+.06

-.02

-.07

+.06

+.10

.01

Normal equation, 7.8A(+0.013ae -0.183ai(;+0.313c+ll. 190=« 

Normal equation, 1 +0.002 -0.024 +0.040 + 1.435=0 

Adopted am =+0».84 ac=+0'. 74 c=-0».05

Clock fast I"1 12". 44 at 7". 86.

[Saint Louis, Mo., October 22,1884. After signals. Observer, Fritchett.]

Xame of star. Clamp.

W.

W.

E.

E.

AVeigbt.

1.0

1.0

1.0

.9

1.0

.8

1.0

1.0

].0

1.0

A

0.00

+ .48

1 1 Q

 1.10

 0.07

2.25

+ .62

+ .46

-.10

G

+1.28

1.02

1.15

+ 2.42

-1.34

3.81

LOO

1.02

1.36

t

h. in. s.

31 09 90

39 10.48

f>7 49 '16

9 08 23.74

14 27.67

16 45. G7

OS KX nr.

V

S.

.01

+ .01

+ .11

+.04

+.01

-.03

-.07

 .03

ftl

Normal equation, 9.7AZ-0.330a((;-0.600(fe -3.230c+14.7:1 ' =0 

Normal equation, 1 0.034 -0. OG2 0.333+1.518=0 

Adopted a(0 = +0».85 rtc=+0s.85 c=-0».05

Clock fast lra 12». 45 at 8". 88.

(248)
WOODWARD.] DETAILS OF TIME WORK.

TABLE III. Details of time ivork Continued. 

[Saint Louis, Mo., October 23, 1884. Before signals. Observer, Pritchett]

77

Name of star. Clamp.

E.

E.

W.

W.

Weight.

0.9

1.0

1.0

1.0

1.0

.9

1.0

1.0

A

 1.53

+ .50

+ .25

+ .64

+0.13

 1.75

+ .61

0

 2.93

1.01

1.11

 1.00

+1/10

3.20

1.00

H-1.00

t

h. in. K. 

7 17 02. 00

28 18.18

37 31.55

 19 34.95

7 54 35.20

50 22.00

8 05 22.89

09 03*. 50

V 

s. 

 .02

+ .02

-.10

+ .00

-.10

.00

+ 1 =

 .03

Normal equation, 7. 8A«+0. 013ac -0.185»w + 0. 313c+10.275=0 

Normal equation, 1 +0.002 -0.024 +0.040+1.317=0

Adopted aw =+0s. 84 ae =+0».84 c=-0'.03

Clock fast lm 12'. 30 at 7". 79.

[Saint Louis, Mo., October 23, 1884. After signals. Observer, Pritcliett.]

Name of star. Clamp.

W.

W.

E.

E.

Weight.

1.0

1.0

1.0

1.0

.9

1.0

.8

1.0

1.0

1.0

A

+0*63

.00

+ .48

+ .18

 1.10

-0.07

 2.25

+ .29

+ .62

+ .46

G

' +1.00

1.28

1.02

1.15

+2.42

 1.34

3.81

1.09

1.00

-1.02

t

h. in. a. 

8 19 04.47

23 44.24

25 20.47

27 13.91

34 14.02

8 40 12.30

53 52.85

9 04 27.61

10 31.64

12 49.53

V

s. 

 .01

+ .07

 .04

+.01

 .06

-.05

+ .01

+.08

-.03

Normal equation, 9. 7A«+0- 300aw -0. 500ao -0. 870c+ll. 706=0 

Normal equation, 1 +0.031 -0.052 -0.090 + 1.207=0 

Adopted a1(,=+0». 64 «e=+0s. 64 c=-0'. 06

Clock fast 1 12'. 20 at 8h. 72.

(249)
78 LATITUDES AND LONGITUDES.

TABLE III; Details of time ivork Continued. 

[Saint Louis, Mo., November 13,1884. Before signals. Observer, Pritchett.]

Name of star. Clamp.

W.

W.

E.

E.

"Weight.

1.0

1.0

1.0

g

1.0

0.8

1.0

1.0

1.0

1.0

4

+0.63

+ .48

+ 9O

1.10

 07

-2.25

- + .46

- .10

+ .56

+ .54

0

+1.00

1 H9

1 09

2.42

+1.34

-3.81

1.02

1.36

1.00

-1.01

t

h. m. s. 

6 56 2J.78

7 02 37.80

08 53.09

19 Qfl flfl

oq on ft*

7 31 09.30

50 06.79

59 15.82

8 00 46.75

20 05.93

V

g.

+.04

1 (n

.10

AO

 06

+.02

+.04

-.07

+.07

+.05

Normal equation, 9.7At+0.340^-0.340ae -0. 810c+7.429=0 

Normal equation, 1 +0.035 -0.035 -0.084+0.776=0 

Adopted aw=+Q\ 67 ae=+0». 77 c=-0«.10

Clock fast lm 03'. 77 at 7". 54.

[Saint Louis, Mo., November 13, 1884. After signals. Observer, Pritchett.]

Name of star.

<

0 Androm ................

Clamp.

E.

E.

W.

W.

Weight.

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

A

-0.65

+ .42

+ .00

+ -17

+ .28

+0.01

+ .52

+ .08

+ .23

.71

G

-1.92'

1.03

1.24

1.10

-1.09

+1.27

.1.01

1.22

1.12

+ 1.98

, l

h. m. s. 

6 29 45. 21

33 58. 44

38 58.73

09 40.70

9 07 48.09

9 16 56.04

I 23 30.02

29 49.16

39 38. 31

44 48.80

V

s. 

.00

-.03

.00

.00

+ f\A

-.12

+.07

-.02

4- 09 J

Normal equation, 10. Odt+0.280ae+0.130aw +0. lCOc+7.130=0 

Normal equation, 1 + 0.028' +0.013 +0.016+0.713=0 

Adopted aw =+0'. 50 oe+0'.77 e=-0'.05

Clock fast 1» 03'. 74 at 9>>. 14.

(250)
WOODWAUU.J DETAILS OP TIME WOKK.

TABLE III. Details of time work Continued. 

[Saint Louis, Mo., November 14,1884. Before signals. Observer, Pritchett.l

79

Name of star. Clamp.

W.

W.

E.

, E.

Weight.

1.0

1.0

1.0

.9

1.0

.8

1.0

1.0

1.0

A

+0.48

_L 1H

+ .29

-1,10

-0.07

-2.25

+ .62

+ .46

+ .56

0

+1.02

1.15

1.09

+.2. 42

-1.34

3.81

1.00

1.02

-1.00

t

h. m. s. 

6 58 26.83

7 00 20.11

03 42.34

08 20.32

7 19 18.68

26 58.56

43 37.96

45 55.99

56 35.83

V

s, 

+.06

-.09

+.08

.00

+.01

+.09

-.02

.00

-.09

Normal equation, 8.7d«-0.040»w -0.230ac-l.970c+7.753=0

Normal equation, 1 -0.005 -0.026 -0.226+0.891=0 

Adopted » ,=+1s- 00 o,= -0». 74 c=-0>. 07

Clock fast 48'. 88 at 7b. 37.

[Saint Lewis, Mo., November 14,1884. After signals. Observer, Pritchett.]

Name of star. Clamp.

E.

E.

W.

W.

Weight.

1.0

1.0

1.0

1.0 .

1.0

1.0

1.0

1.0

1.0

A

+0.36

- .65

+ .42

+ .06

+0.12

+ .17

+ 98

74

+ .52

0

-1.06

1.92

1.03

-1.24

+1.19

1.16

1.09

2

A1

+ 1.01

t

h. in. *. 

8 1(9 00.36

2.i 34.04

29 47. 56

34 47.76

8 53 10.19

55 35.88

12 11.06

19 19.13

V

s. 

+.01

fi^l

09

-.07

+.16

-.06

.00

+.02

-.02

Normal equation, 9. OA<+0.190(^+0.3500^+1. 210c+6. 390=0

Normal equation, 1 +0.021 +0.039 +0.134+0.710=0

Adopted an,=+0'. 69 aB =+0'.50 e=-0*. 07

Clock fast 48'. 74 at 8b.78.

(251)
80 LATITUDES AND LONGITUDES. [BULL. 49.

TABLE III. Details of time worfc Continued. 

[Saint Louis, Mo., November 15, 1884. Before signals. Observer, Pritchett.]

Name of star.

TjPegasi ..................

Clamp.

W.

W.

E.

E.

 Weight.

1.0

1.0

1.0

1.0

.9

1.0

.8

1.0

1.0

1.0

A

+0.63

-I- .48

+ .18 '

O- 9Q

-1.10

-0.07

 2.25

+ .02

+'.46

C

+1.00

 1.02

1.15

1.09

+2. 42

 1.34

3.81

1.00

J.02

-1.00

t

h. m. s. 

6 48 14.88

54 30.95

50 24.27

59 46.35

7 04 24.14

7 15 22.73

23 02. 75

39 42.14

42 00.07

52 iO. 03

V

8.

.02

+.01

-.04

-.03

+.02

-.06

+.02

+.09

-.01

+.03

Normal equation, 9.7At+0.59Caw 0.230ae 0.970c+8.402=0 

Normal equation, 1 +0.061 0.024 0.100 +0.866=0 

Adopted aw =+0». 80 ae = + 0'.80 c=+0».05

Clock fast 48'. 90 at 7b . 20.

[Saint Louis, Mo., November 15, 1884. After signals. Observer, Pritchett.]

Xanie of star. Clamp.

E.

E.

W.

W.

Weight.

1.0

 1.0

1.0

1.0

1.0

1.0

1.0

1.0

A

+0.36

- .65

+ .42

+ .06

+0.12

+ .17

+ .28

- .74

o

 1.06

1.92

1.03

 1.24

+1.19

J.16

1.09

+2.01

t

h. m. s. 

8 05 14. 45

21 38.46

25 51.72

30 51.89

8 49 14.25

51 40.07

59 42.47

9

(18 IK 09

V

S. .01

+.04

 .11

+.03

 .06

+ A1 .01

Normal equation, 8. OA«+0.190ae 0.170ai() +0.200c+6.850=0 

Normal equation, 1 +0.024 0.021 +0.025+0. 856fcO 

Adopted ai(,rz+0». 69 ae=+Q>,74 c~ 0s. 07

Clock fast 48'. 86 at 8". 66.

(252)
WOODWARD.] DETAILS OF TIME WORK. . 81

TABLE III. Details of time ivork Continued. 

[Saint Louis, Mo., November 16,1884. Before signals. Observer, Pritchett.]

Name of star. 

/

Clamp.

W.

W.

E.

E.

Weight.

1.0

1.0

1.0

.9

1.0

.8

1.0

1.0

1.0

A

40.63

+ .18

_U 9Q

 ].10

-0.07

 2.25

+ .62

+ .40

-1- .50

0 .

+ 1.CO

1. 13

1.09

+2.42

 1.34

3.81

1.00

1.02

 1.00

t

h. m. a.

52 27.60

55 49.07

7 00 27.37

19 05.60

38 03.34

. 48 43.29

V

8.

+.05

 .03

 .05

+.03

.01

+.04

.03

-.02

+ .01

Normal equation, 8.7At+0. U0aw 0.230ae 1.990c+9. 298=0

Normal equation, 1 +0.013 -0.026 -0.229+1.069=0

Adopted al(.= + 0«. 70 ae=+0".70 c=-0!.09

 Clock fast 48'. 08 at 7h . 23.

[Saint Loiiis, Mo., November 1C, 1884. After signals. Observer, Pritchett.]

Name of star.

yPegasi ..................

Clamp.

E.

E.

W.

W.

Weight.

1.0

1.0

1.0

1.0

1.0

1.0

, i.o

1.0

1.0

A

+0.36

- .65

+ .42

+ .06

+0.12

+ .17

+ .28

 .74

+ .52

C

-1.06

1.92

1.03

-1.24

1 1 19

1.16

1.09

2.01

+1.01

t

h. in. s. 

8 01 17.75

17 41.56

' 91 f.A 87

26 55.20

8 45 17.46

47 43.19

55 45.74

9 04 18.41

11 26.90

V

s. 

+.07

+.02

no

02

-.04

+.02

.03

-1 99

Normal equation, 9.0A(-0.190ae+0.350aw +1.210c+8.790=0 

Normal equation, 1 0.021 +0.039 +0.135+0.977=0 

Adopted au,=+0'. 60 ac =+0'.70 c= OMO

Clock fast 48'. 00 at 8". 65.

Bull. 49 6

(253)
32 LATITUDES AND LONGITUDES. [BULL. 43.

TABLE III. Details of time work Continued. 

[Saint Louis, Mo., December 15, 1884. Before signals. Observer, Pritchett.J

Name of star.

f'Ceti...... ...............I

y Ceti...... ................

Ulamp.

(V.

W.

E.

E.

Weight.

1.0

9

1.0

1.0

1.0

1.0

1.0

1.0

A

+0.11

 1.21

+ .52

+ .59

in oq

+ .58

-|- .01

 .71

.0

+ 1.20

2.55

1.01

+1.00

1.07

1.00

1.28

-1.97

t

h. m. s.

8 on cfi oo

41 30.93

50 45 97

9 \l> 01 70 /

15 38.37

17 11.53

39 07. 04

V

X.

ift

.01

+.21

+.01

+.14

-.01

-.16

+.03

Normal equatioa, 7.9At+0.131aw +0. 210ae+0.183c+9. 204-0 

Normal equation, 1 +0.017 +0.027 +0.023-f 1.165=0 

Adopted a w = +1». 00 ae = + 0s. 88 c= OM 0

Clock'fast 03s. 20 at 9h . 01.

fSaiut Louis, Mo., December 15, 1884. After signals. Observer, Pritchett.]

Name of star.

£ Tonvi

f Xauri

Clamp.

E.

E.

W.

W.

Weight.

1.0

1.0

1.0

1.0

1.0

 i.o

A

+0.50

+ 4 c

- .23

+ 0.28

- .02

 .23

0

 1.01

1.02

-1.48

+1.09

1.30

+1.48

t.

h. m. #. 

9 40 14.48

43 49.34

54 02. 02

9 59 54.85

10 09 23.26

19 32.56

C

s. 

-.01

 01

+ .04

-.01

+.02

 .05

Normal equation, 6. OA«+0. 720a8+0. OSOa^+0.360c+5. 710=0 

Normal equation, 1 

Adopted a =-(-0'. 50

+0.120 +0. 005 +0. 060 +0. 952=0 

ae=+l».02 c=-0».13 

Clock fast 03'. 07 at 9". 96.

(254)
WOODWARD.] DETAILS OF TIME WORK.

TABLE III. Details of time work Continued. 

(Saint Louis, Mo., December 18,1884. Before signals. Observer, Pritchett.]

83

Name of star.

I'Ceti. ....................

fCeti. ....................

CMmp.

W.

W.

E.

E.

Weight.

1.0

1.0

1.0

1.0

.9

0.9

1.0

1.0

1.0

1.0

A

+0.58

 .05

+ .56

+ .50

- .92

 1.77

 .07

+ .30

4- .51

+ .52

C

+1.00

1.32

1.00

1.01

+2. 21

 3.32

1.34

1.09

1.01

-1.01

t

k. m. s. 

7 20 31.55

:t8 40.84

44 02.63

47 54.36

54 45.07

8 02 15.12

05 23.87

09 13.48

15 25.01

30 31.12

V

s. 

-f.05

.00

+.02

 .14

-.05

+.07

 .05

 .04

+.12

"Normal equation, 9.&M+0.762«w-0.333fte-l. 119c+ll.606=0

Normal eqiiation, 1 . +0.078 0! 034 0.114 +1.184=0 

Adopted », =+, 0s. 79 «c=+0'. 59 c= OM2

Clock fast 51". 24 at 7". 95.

[Saint Louis, Mo., December 18, 1884. After signals. Observer, Pritchett.]

Name of star. . Clamp.

E.

E.

W.

W.

' Weight.

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

A

+0.59

4- 49

 .51

+ qq

+0.35

+ .51

 .71

j- 4*1

o

-1.00

1.01

1.76

 1.07

+1.06

1.01

1.97

+1.02

t

h. TO. 8. 

8 45 46.26

47 09.14

50 45.69

9 01 01.95

9 13 25.14

26 56.95

28 07.80

32 50.21

 t)

s. .01

-.04

 .02

a. <w

_ no

 .07

+.02

+.11

Normal equation, 8.0At+0.900^+0.600aro+0.220c+9.100=0 

Normal equation, 1 +0.112 +0.075 +0.027+1.137=0 

Adopted aw = + 0".69 ae=+Q\b9 c= OM5 

Clock fast 5l«. 25 at 9 b. 12.

(255)
LATITUDES AND LONGITUDES.

TABLE III Details of time work Continued.

[Saint Louis, Mo., August 12,1884. Observer, Pritchett.]

[BULL. 49.

Name of star.

/SCygni. ..................

Clamp.

W.

W.

E.

E.

"Weight.

1.0

1.0

1.0

(w

.8

1.0

1.0

A

+ 0.45

+ 99

4- 4.0

19 KO

 0.68

-L. It

I 91

*

0

+ 1.03

1

10

1 fi9

+16.95

1 Q<?

1 19

i 13

t

h. in. s. 

8 02 44.80

15 05.18

34 57.79

43 07.74

9 99 9ft 17

97 QQ A7

58 55.17

V

S. 

.12

+ AQ

 .01

_L OS

+ .12

.11

i 05

Normal equation, 5. 83d<+0.780aw 0. 200(^ 0.190c+6.16 =0 

Normal equation, 1 +0.134 0.034 0.033+1.050=0 

Adopted aw=+0s. 85 rte=+0s.94 c= 0'. 43

Clock fast 49'. 15 at 8h. 92.

[Saint Louis,'Mo., August 12, 1884. Observer, Woodward.]

Name of star. Clamp.

W.

W.

E.

E.

Weight.

0.8

1.0

1.0

1.0

0.5

0.9

1.0

0.9

0.4

A

 0.57

+'.59

+ Oft

+ .07

1.88

 0.12

+ .43

+ .02

 1.95

0

+ 1.83

1.00

1.14

1.00

+ 3.36

1.39

1.19

1.27

 3.45

t

}i. in,. s.

Ofi f\-7 79

48 23.31

Kfl 1 A ft7

9 94 J.R 31

33 01. 23

50 42.19

V

8.

OA

 .05

+.01

+.22

06

.06

.00

+.15

+.08

Normal equation, 7. 5M+0. o6Qaw 0.740«e+l. 320c+9.575=0

Normal equation, 1 +0.008 0.069 +0.176+1.277=0

Adopted aw=+Q'. 85 a,g -+0\ 94, c= 0».43

Clock fast 49'. 14 at 9 h. 04.

(256)
WOODWARD.] DETAILS OF TIME WORK. 85

TABLE III. Details of time worlc Continued. 

[Saint Louis, Mo., August 13,1884. Observer, Pritohett.]

Name of star.

/SCygni. ...................

Clamp.

E.

E.

W.

W.

Weight.

0.8

1.0

1.0

.8

A

-0.57

+ .20

 1.88

+0.21

+ .37

- .39

G

1.14

0 '.((>

+ 1. 13

1.04

+ 1.62

t

h. in. g. 

8 20 42.84

32 10.79

52 16.33

9 55 00.18

10 04 46.34

21 32.14

0

8.

93

+ .03

+ ne

-.04

+ i)Q

-.02

Normal equation, 5.1A« 1. 196^+0. 268aw 0. 818c+6. 486=0

Normal equation, 1 0.235 +0.052 0.160+1.272=0

Adopted « to=+0'. 96 ae =+l". 00 c= 0". 46

Clock fast 49". 16 at 9". 40.

[Saint Louis, Mo., August 13, 1884. Observer, Woodward.]

Name of star. Clamp.

E.

E.

W.

W.

Weight.

1.0

0.03

1.0

1.0

0.9

1.0

A

+ 0.49

 12.59

+ .11

+ 0.58

 .30

+ .48

O

 1.02

16.95

 1.20

+ 1.00

1.56

+ 1.02

t

h. in. s.

38 57.24

9 14 50.75

48 37.36

10 02 17.03

09 39.64

V

8, 

fl9

+ .67

m

+ AO

+ .04

fid

Normal equation, 4.93A«+0.222ae+0. 790aro +0. 696c+4.815=0 

Normal equation, 1 +0.045 +0.160 +0.141+0.977=0 

Adopted «10 =+0'.96 <ie= + ls. 00 c= 0". 46

Clock fast 49M1 at 9h . 54.

(257)
LATITUDES AND LONGITUDES. [BULL. 49.

TABLE III. Details of time work Continued. 

[Saint Louis, Mo., December 22, 1884. Observer, Pritcbett.]

Name of star.

?C&ii........ .............

2 H. Caraelopardalis ...... 

5 H. Carnolopardalis .....

A Tauri ...................

Clamp.

W.

W.

E.

E.

Weight.

0.7

0.9

1.0

1.0

1.0

1.0

1.0

0.9

1.0

0.8 

0.5 

1.0

0.9

1.0

A

-0.92

 .07

-i- <;i

+ .32

+ J.Q

+0.23

+ .58

- .04

+ .33

- .71 

-I. 64

+ .28

 .02

+ .46

G

+2.21

1.34

1.01

1.07

+ 1.01

-1.12

1.00

1.32

' 1.07

1.97 

3.07 

1.09

1.30

 1.02

t

h. m. s. 

7 39 01.46

49 40 49

59 41 40

8 25 00.73

O1 OC KQ

35 54.26

AO U 70

53 20.42

9 00 54.71

12 23.50 

30 50.71 

33 11.00

42 33.50

46 48.25

V

t.

+.15

+.07

03

-.10

f\f\

IP

.08

 .04

09

+.19 

+.02 

 .10

+ ni

+ .03

Normal equation, 12. 7AZ+0.613^+0.430^-4.926c+12.313=0 

Normal equation, 1 +0.048 +0.035 0.388 + 0. 970=0 

Adopted aw =+0».77 ae=+0». 73 c= 0». 18

Clock fast 51». 10 at 81 '. 80.

[Saint Louis, Mo., December 22, 1884. Observer, Woodward.)

Name of star.

 iArietis...... ............

/Tauri ...................

9 H. Camelopardalis ......

Clamp.

W.

W.

E.

E.

Weigbt.

0.5

1.0

0.9

1.0

1.0

1.0

0.9

3.0

1.0

0.9

0.7 

0.9

1.0

A

-1.77

+ .30

+ .09

.+ .35

+ .59

+0.33

+ .01

+ .35

+ .45

- .23

 .77

+ .07

+ .41

G

+ 3.22

-1.09

.1.21

1.06

+ 1.00

-1.07

1.28

1.06

1.02

1.48

2.05 

1.23

 1.04

t

h. TO. s.

53 29.75

55 30.50

8 04 30.28

30 02.50

45 17.90

50 27.97

57 41.06

9 17 05.84

27 18.33

39 53.24 

44 00.78

49 31.39

V

s.

 .24

 .06

 .09

+.04

-.01

+ .04

+.06

+.26

+.07

+.03

-.10 

-.12

.00

Normal equation, 11. 8AZ+0.4300^+0. 866ae 3. 3<J7c+9. 563=0 

Normal equation, I +0.037 +0.073 0.285+0.811=0 

Adopted aw =+0».77 ae=+0'.73 c= 0s. 18

Clock fast 50". 94 at 8". 82.

(258)
TTOODWARO.1 DETAILS OF TIME WORK. 87

TABLE III. Details of time ivork Continued. 

[Saint Louis, Mo., December 23,1884. Observer, Pritchett.]

Name of star.

dTauri. ..................

H Eridani .................

Clamp.

E.

E. 

W.

W.

"Weight.

}.0 

1. 0 

0.8 

0.9 

1.0 

0.7 

0.9 

1.0

0.9 

1.0 

1.0 

1.0 

0.6 

1.0 

1.0

A

+0.35 

+ .51 

_ _ YL

 .23 

+ .28

 .77

-t- .07 

+ .55

-0. 23

+ .38 

+ .30 

+ .67 

-1.14 

+ .12 

+ .32

C

 1. 00 

1.0 1 

1.97 

1.48 

1.09 

2.05 

1.2j? 

-1.01

+1.48 

1.05 

1.08 

1.01

2.48 

1.19 

+1.07

t

/i. m. s. 

8 52 45. 57

9 06 17.39 

07 27.88 

22 22.97 

28 15.59 

34 58. 06 

39 05. 46 

44 35.88

47 53.83 

10 03 49.27 

22 48*63 

27 12.41

30 07.83

30 56. 29 

43 38.03

V

8. 

+ .13

+.12 

 .08 

-.07 

.00 

 .11 

 .13 

-.01

+.03 

.00 

-.08 

+ .35 

+.05

no

-.01

Normal equation, 13. 8At+0.439ae+0.899aw 1.400c 7. 977=0

Normal equation, 1 +0.032 +0.065 0.101 0.578=0

Adopted » ,= +0s. 70 ae=+0». 90 c= 0'. 15

Clock slow 8". 49 at 9b . 83.

[Saint Louis, Mo., December 23, 1884. Observer, Woodward.]

Name of star.

5 II. Camelopardalis ......

Claijpp.

E.

E.

A\r.

W.

Weight.

0.9

1.0

0.5 

0.9

1.0

1.0

1.0

. 0.9

0.8

1.0

1.0

0.7

0.9

1.0

A.

-0.29

+ .45

-1. 04 

- .02

+ .46

+0.41

+ .36

 .10

 .56

+ .36

+ .59

 .74

 .05

+ .41

C

-1. 54

1.02

3.07 

1.30

 1.02

+ 1.04

1.06

1.36

1.81

1.06

1.00

2.02

1.32

+ 1.01

t

h. m. s. 

9 03 48.59

jo jo gg

25 55.27

<11 f^9 QQ

10 00 40:18

09 24.12

12 50.04

25 55.16

32 05.05

35 40.84

An oo 71

41 52.04

45 23.87

V

s. 

+.07

+ 10

 .04

+ .07

-.09

+ .01

+.16

no

-.26

-.20

-.05

Normal equation, 12.6A« 0.189ae+l. 029«w +4.343c 8.951 =0

Normal equation, 1 0.015 +0.082 +0.345 0.709=0

Adopted ^=+0". 70 «=+0'.90 c= 0». 15

Clock slow 8', 72 at 10h .09.

(259)
LATITUDES AND LONGITUDES. [BULL. 49..

TABLB III. Details of time work Continued. 

[ Albuquerque, N. Mex., July 2,1885. Before signals. Observer, Woodward.]

Name of star.

Gr. 2164................

Clamp.

E.

E.

W.

W.

Weight.

1.0

1.0

.8

1.0

.7

1.0

.5

1.0

A

+0.72

+ .28

 .49

+ .33

OT

+0.70

 1.98

+ .16

G

1.02

1.06

1.64

1.05

_ j gg

+ 1.01

3.28

+ 1.12

t

h. in. s. 

U 06 55.72

10 34.39

21 25.40

35 29.05

48 40.13

15 10 59.46

21 03.23

29 58.91

V

8.

.02

+.02

-.18

-L 11

+ .22

-.12

.06

+.01

Normal equation, 7. OA«+0. 357ag 0.130aw 2.065c+3. 978=0 

Normal equation, 1 +0.051 0.019 -0.295+0.568=0 

Adopted ou,=-0'.48 Oc= C-.35 c=+0».00 

Chronometer fast 7". 56 at 14 h . 73.

[Albuquerque, N. Mex., July 2, 1885. After signals. Observer, Woodward.]

Name of star. Clamp.

W.

W:

E.

E.

Weight.

1.0

1.0

1.0

1.0

1.0

.6

1.0

A

+ 0.98

+ .25

+ .07

+ .44

+ O.SO

-1.25

+ .19

O

+ 1.11

1.08

1.18

+1.01

-*1.04

2.44

 1.10

t

h. m. «.

25 26.85

37 07.24

52 24.09

17 03 57. 74

08 37. 38

10 28. 92

V

s. 

.02

+.08

+.02

+ .12

 .28

 .03

+ .09

Normal equation, 6.6Af+l-740aw+0.240ae+0.77Gc+5.364=0 

Normal equation, 1 +0.264 +0.036 +0. i!8+0.813=0

Adopted aw= Q'. 35 ae= Q'. 35

Chronometer fast 7". 71 at 16h. 79.

(260)
WOODWAUD.] DETAILS OF TIME WORK.

TABLE III. Details of time work Continued. 

[Albuquerque, N. Mex., July 6, 1885. Before signals. Observer, Woodward.]

Name of star.

Gr.21G4. ....... ........

|3Cor. Bor ...............

Clamp.

W.

W.

E.

E.

Weight.

1.0

.8

1.0

1.0

1.0

.7

0.4

1.0

1.0

1.0

1.0

A

+0.28

 49

+ .09

+ O'>

+ .54

- .&

 9 40

+ .15

+ .70

1 AV

- .00

+ -11

0

+1.06

1.04

1.16

1.00

+ 1.99

3. 77

1.10

1.13

1.01

1.26

<!,

 1. 15

t

h. mi. s.

21 25.44

27 01.22

35 28.45

48 39.83

59 39.94

15 10 58.58

20 17. Of)

23 14.22

V

s. 

+.15

a. fid

 .11

+ .01

-.05

 .04

J- 9(1

19

+ .01

-.06

-.08

. +.10

-.03

Normal equation, 11.4A«+0.2G7aw +0.03Sae -l. 647c+l. 019=0 

Normal equation, 1 +0.023 +0.003 -0.144+0.089=0 

Adopted aw =Os.OO «e =0'.00 c=-OM2

Chronometer fast 7". 11 at 14h. 84.

[Albuquerque, N. Mex., July 6, 1885. After signals. Observer. Woodward.]

Name of star.

G-T 9"V77

Clamp.

E.

E.

W.

W.

Weight.

1.0

.9

.7

1.0

.6

1.0

0.9

.8

1.0

1.0

1.0

.1

A

+ 0.04

- .29

- .95

+ .25

-1.56

-f- .72

-0.09

- .68

+ .35

+ .44

+-'.08

-5.41

G

-1.00

1.45

2.11

1.08

2.79

-1.02

+1.29

1.84

1.04

1.01

1.17

+ 7.38

t

h. m. 8. 

16 12 23.88

16 26. 23

22 35. 22

25 25. 08

28 22. 08

30 59.48

16 39 06.85

43 16. 62

47 00. 48

52 23. 31

56 02. 87

57 58. 85

Normal equation, 10. OA«-0. 252ae -0. 296»w -0. 905c+0. 913=0 

Normal equation, I -0.025 -0.030 -0.096+0.091=0 

Adopted au; =0s. 00 * oe=0s. 00 c=-0». 08

Chronometer fast 7s. 10 at 16h. 58.

-.06

-4-. 08

-.24

-.01 

+-.27

-.03

+.09

- 01 

+.03 

+.04

-.14 

+.04

(261)
90 LATITUDE AND LONGITUDES. [BULL. 49.

TABLE III. Details of time icork Continued 

[Albuquerque,' N. Mex., July 7,1885. Before signals. Observer, Woodward.]

Name of star.

d-r 91 fid

/3 Libne. .................

Clamp.

E.

E.

W.

i

w.

Weight.

1.0

.9

.8

.9

1.0

1.0

0.7

1.0

1.0

.6

.8

.9

A

+0.28

- .29

 .49

- .08

+ .65

+ -54

O QO

+ QJC

-1- .70

i d3

fit

- .14

G

-1.06

1.46

1.64

1.28

i.oo'

1.00

+1.99

1.10

1.01

2.65

1.96

+1.33

t

h. in. s. 

14 10 33.57

12 08.79

21 24.82

27 35.26

37 08.80

40 34.77

14' 48 39.57

57 30.07

15 ifl 58.49

13 27.59

22 30.95

26 56.98

V

s. 

+.20

+.01

-.15

+.13

-.08

10

+.04

 .10

-.11

 .01

+.06

+ 10

Normal equation, 10.6A«+0.745ae 0.563aw+l. 020c 1.377=0

Normal equation, 1 +0.070 0.053 +0.098 0.130=0

Adopted aw =0». 00 ac=+0s. 28 c=-0'08

Chronometer fast 6'. 88 at 14b . 77.

[Albuquerque, N. Mex., July 7,1885. After signals. Observer, Woodward.]

s '

Name of star.

Gr.2377 .................

Clamp.

W.

W.

E.

E.

Weight.

1.0

.9

.7

1.0 .

.6

1.0

0.9

.8

1.0

1.0

1.0

.1

A

+o;e4

 .29

 .95

+ .25

 1.56

+ .72

-0.09

 .68

+ .35

+ .44

+ .08

-5.41

G

+ 1.00

1.45

2.11

1.08

2.79

+ 1.02

 1 29

1.84

1.04

1.01

1.17

-7.38

t

h. in. s.

16 26.09

22 35.06

25 26.04

28 22.00

30 59.53

16 39 06.49

43 16.24

47 00.13

52 22.90

50 02. 65

57 58. .00

V

s. 

.00

 .01

 .39

+ 1 ^

+.14

+ 19

+.05

 .03

-.07

 .06

+.19

Normal equation, 10. OA£ 0.252aw -0.296ae+0.9G5c+9.122=0

Normal equation, 1 0.025 0.030 +0.096 +0.912=0 

Adopted aw =Q>. 00 a<,=0s. 00 c=-0\04

Chronometer fast 6'. 91 at 16h . 58.

(262)
WOODWARD.) DETAILS OF TIME WORK. 91

TABLE ill. Details of time work Continued. 

[Albuquerque, N. Mex., July 8,1885. Before signals. Observer, Woodward.]

Name of star. Clamp.

W.

W.

E.

E.

Weight.

1.0

1.0

1.0

.4

1.0

1.0

1.0

A.

+0.33

 2.40

+0. 95

+ . 15

+ .16

G

+1.05

1.04

+ 3.77

1 10

ill

-1.12

«

h. in. 8. 

14 35 27.63

40 34.70

44 40.11

51 09.65

14 57 29 51

59 39.08

15 29 57.51

V

s. 

.00

.00

+.09

-.30

j- n9

-.09

+.08

Normal equation, 6.4At+0.710a)0+l. 260ac+l. 248c +2.344=0 

Normal equation, 1 +0.^.1 +0.197 +0.195+0.366=0 

Adopted aw=-OMO ae =-OMO c=-OMO

Chronometer fast 6". 32 at 14». 91.

| Albuquerque, N. Mex., July 8, 1885. After signals. Observer, Woodward.]

Name of star. Clamp.

E.

E.

W.

W.

Weight.

0.9

1.0

1.0

1.0

0.6

1.0

1.0

.8f

1.0

1.0

A

0.29

+ .44

+ .08

+ .80

1.25

J- 1Q

+ .95

 .49

+ .39

+ .80

C

1.45

1.01

1.17

-1.04

+2.44

1.10

1.10

J.64

1.03

+ 1.04

t

h. m. s. 

16 16 25.40

 52 22.21

56 02.00

17 03 56.35

17 08 36.70

10 27.37

15 06.41

27 59. 20

29 44.71

31 09.47

V

8.

+ .04

 .10

 .06

+ .14

+.02

.01

+.05

 .02

-.09

+ .02

Normal equation, 9.3AZ+1.059ac+l. 188aM +2.521c+2.715=0

Normal equation, 1 + 0.114 +0.128 +0.271 +0.292=0

Adopted aw =+OM8 ae= +0'. 10 c=-0'.06

Chronometer fast 6'. 31 at 17 b . 11.

(263)
92 LATITUDES AND LONGITUDES. [BULL. 49.

TABLE III. Details of time work Contiuued. 

[Albuquerque, N. Mex., July 14, 1885. Before signals. Observer, "Woodward.]

Name of star.

(SCor.Bor .................

Clamp.

E.

E.

AV.

W.

Weight.

0.4

.9

.9

1.0

1.0

1.0

1.0

.3

1.0

A

-2.40

- .06

+ .11

+0.16

+ .48

+ .30

-3.32

+ .15

C

-3. 77

1.32

1.20

-1.15

+1.12

1.01

1.05

4.87

+1.12

t

h. in. s. 

14 51 07.89

57 42.48

15 20 14.65

23 11.06

15 29 54.94

38 42.23

43 39.77

48 17.52

52 55.37

V

s. -.39

+.05

+.19

+ .01

-.01

+.03

+.03

+.09

-.14

Normal equation, 7.5A«-1.021^0.094ftjc+0. 781c-0. 059=0 

Normal equation, 1 -0.136 +0.013 +0.104-0.008=0 

Adopted a-w-.+0s. 51 fte =+0". 51 c= + 05. 02

Chronometer faso 3s. 93 at 15b . 48.

[Albuquerque, N. Mex., July 14, 1885. After signals. Observer, Woodward.]

Name of star.

Gr.2377...... ..........

Clainp.

W.

W.

E.

E.

Weight.

1.0

.9

.7

1.0

1.0

.8

1.0

.1

1.0

.6

1.0

A

+0.64

 .29

 .95

a. 9=;

+ .72

 0.68

+ .44

 5.41

+ .80

 1.25

4- 1Q

C

+ 1.00

1.45

2.11

1.08

+1. 02

 1.84

1.01

7.38

1.04

2.44

 1.10

t

h. in. s. 

16 12 20.38

16 23.14

22 32.39

25 22.66

30 56.03

16 43 13.38

52 19.67

57 56.93

17 (\1 'vt is>

V

S.

.06

+ .10

.21

.00

+ A =

no

no

+.07

-.11

+ 1 3

+ 9=:

Normal equation, 9.1A<+0. 084ftw 0. 405ftc -0. 942c+7. 978=0 

Normal equation, 1 +0.075 -0.044 -0.104+0.877=0 

Adopted au) = +0".47 «<! =+0».47 c=0'.00

Chronometer fast 3\ 89 at 16h . 67.

(264)
WOODWARD.] DETAILS OF TIME WORK.

TABLE III. Details of time ivork Continued. 

[Albuquerque, N. Mex., July 15, 1885. Before signals. Observer, Woodward.

Name of star. Clainp.

W.

W.

E.

E.

Weight.

1.0

.8

.9

1.0

1.0

.8

1.0

1.0

A

+0.70

- .81

- .14

+ .16

+0.34

- .78

+ .62

+ .64

C

+1.01

1.96

1.33

+ 1.12

-1.04

1.93

1.00

+ 1.00

t

h. m. a. 

15 10 55.44

22 27.17

26 53.31

29 54.86

15 40 59.11

59 49.82

16 08 25.77

12 20.80

V

8.

+.04

+.07

-.02

+.01

+ 19

-.03

-.04

-.11

Normal equation, 7.5AJ+0. OSea^+O.976ae+0.311c+6.523=0 

Normal equation, 1 +0,012 +0.130 +0.041+0.870=0 

Adopted aio =-OM4 ae=-0.14 c=+OM2 

Chronometer fast 3". 85 at 15h . 69.

[Albuquerque, N. Mex., July 15, 1885. After signa.s. Observer, Woodward.J

Name of star.

PT* 9377

Clamp.

E.

E.

W.

W.

Weight.

0.9

.7

1.0

.6

0.9

1.0

1.0

A

 0.29

 .95

+ .25

1.56

 0.09

.68

+ .44

+ .08

C

 1. 45

111

1.08

9 70

+1.29

1.84

1.01

+1.17

t

h. m. s. 

16 16 22.81

22 31.97

25 22. 72

28 18.28

16 39 03.23

43 12.57

52 19.77

55 59.54

v

S. -.01

.00

-.07

+.11

+.10

.13

-.08

+.09

Normal equation, 6. 9A«-1.612ae -0.105aw -0.723c+4.983=0 

Normal equation, 1 -0.234 0.015 0.105+0.722=0 

Adopted aK) =-0'.21 «e= 0'.21 c= + 0".08

Chronometer fast 3". 77 at 16h . 60.

(265)
94 LATITUDES AND LONGITUDES. | BULL. 49.

TABLE III Details of tinie work Continued. 

[Albuquerque, N. Mex., July 19, 1885. Before signals. Observer, Woodward.]

Name of star. Clamp.

W.

"Vf.

E.

E.

Weight.

1.0

.4

1.0

1 1.0

.5

1.0

1.0

1.0

1.0

1.0

.3

1.0

.8

A

+0.80

-2. 40

+ .95

+ .70

 1 98

+ .11

+0.16

+ .48

+ .30

+ .51

-3.32

+ .15

- .78

0

+1.04

3.77

1.10

1.01

3.28

+1.15

-1.12

1.01

1.05

1.00

4.87

1.12

-1.93

* t

h. m. s. 

14 44 35.88

51 04.27

57 25.60

15 10, 53.98

20 57.34

23 09.72.

15 29 53.68

38 41.40

43 38.83

45 10.33

48 15.13

52 54.58

59 48.97

0

«. 

-.03

-.05

+.08

-.07

.15

+.16

.05

-.05

.06

+ .03

+.07

-.01

+.11

Normal equation, 11. OAt+0. GlOa^-O. 020a,-0. 857c +18.927=0

Normal equation, 1 +0.055 0.002 -0.078+1.725=0

Adopted ai(j =-0». 07 «e=-0».07 c=+0».23

Chronometer fast 2'. 70 at 15". 45.

[Albuquerque, N. Mex., July 15,1881. After signals. Observer, Woodward.]

Name of star.

Gn OQ77

Clamp.

E.

E.

W.

W.

Weight.

0.7

1.0

.6

1.0

0.9

.8

1.0

1.0

A

-0.95

+ .25

 1.56

+ .72

-0.09

- .68

+ .08,

0

-2.11

1.08

2.79

 1.02

+ 1.29

1.84

1.01

+ 1.17

t

h. m. s. 

16 22 31.07

25 21.88

28 17.78

30 55.17

16 39 02.08

43 11 21

5

9 1 Q 47

55 58.11

V

s. 

.20

I TO

+ 1Q

1^

+.28

.17

 .02

fn

Normal equation, 7. OAt-0.631ae 0.105aw 0.438c+4. 785=0

Normal equation, 1 0.090 -0.015 -0.062+0.684=0

Adopted aw=0\ 00 aa=0s. 00 c=+0'. 23

Chronometer fast 2s. 67 at 16b . 63.

(266)
WOODWARD.] DETAILS OF TIME WORK. 95

TABLE III Details of time work Continued, 

f Saint Louis, Mo., July 2,1885. Before signals. Observer, Pritchett.l

Name of star.

(Jr. 2320..................

|3Herculi9...... ...........

Clamp.

E.

E.

W.

W.

Weight.

1.0

1.0

1.0

1.0

1.0

.7

1.0

1.0

.8

1.0

1.0

1.0

A

+0.19

06

+ .22

+ .40

+ .36

^ Ifl

 1.32

+ .09

-2.55

+ .35

+ .31

- .10

0

1 1 f\

1 Q1

1.12

1.04

-4.87

-1-1 19

1.21

4.18

1.06

1.08

+ 1.36

t

h. in. s.

8

o(l fti 71

42 43.48

45 44. 02

56 46.77

59 27.29

9 04 01.47

9 08 41.84

90 11 7ft

29 55.38

«>0 QQ A1

40 03.83

 46 09.85

V

s. 

.04

.11

+ 03

+.09

All

-.04

+.09

+.06

-.15

_L fil

+.08

-.09

Normal equation, 12.4At 1. OGOoc 2.358ai(,+2.478c+2C. 686=0

Normal equation, 1 0.085 0.190 +0.201+2.152 0

Adopted « ,= 0s. 36 ae=-0».28 c= 0".23

Clock fast 1 04'. 20 at 9\ 19.

[Saint Louis, .Mo., July 2, 1885. After signals. Observer, Pritchett.]

Name of star. Clamp.

W.

W.

E.

E.

Weight.

1.0

1.0

1.0

g

1.0

 1.0

1.0

1.0

1.0

.8

1.0

A

+0.49

+ .15

+ .10

1.12

+ .20

+0 45

19

+ -21

+ .03

2.75

+ .49

0

+1.01

1.17

1.20

2.44

+ 1.10

-1.02

1.44

1.13

-1.01

t

h. m. s. 

10 07 56.47

11 35.66

13 03.64

25 58.48

in ii^ 19 47

51 48.41

C7 OO Art

11 07 51.32

10 08.28

17 95 30

t)

s. 

-.13 .

+.07

+.07

_i no

' +.01

.00

+ 03

+.01

+.06

.05

-.00

Normal equation, 10. 7A{ 0.008(1^ 1.210ac 2.736C+23.181 =0

Normal equation, 1 0.001 0.113 0.256+2.166=0

Adopted aw= 0'. 50 aa= 0'.42 c= 0'.16

Clock fast lm 04». 25 at 10h . 68.

(267)
LATITUDES AND LONGITUDES. [BULL. 49.

TABLE III Details of lime worlc Continued. 

[Saint Louis, Mo., July 6,1885. Before signals. Observer, Pritchett.]

Name of star.

jS Cor.Bor. ...... ..........

Clamp.

E.

E.

W.

W.

"Weight.

1.0

1.0

1.0

1.0

].0

.'7

1.0

].0

.8

1.0

1.0

1.0

A

4-0.19

nfi

+ .22

4- .36

+ .09

+ .35

+ .31

 .10

0

 1.15

1

q*>

1.12

1.04

1.05

-4.87

1.21

4.18

1.06

1.08

+ 1.36

t.

h. m. s. 

8 23 22.44

27 04.10

30 05. 34

41 07. 40

-.3 47.87

48 21.57

8 53 02.47

9 10 32.41

14 15.65

17 00.01

25 24.40

30 30.39

V

s. 

+. 09

.06

 .04

.04

+.01

 .01

11

+.16

.00

+.02

+.01

 .08

Normal equation, 11. 5A< 1.060ae 1.170aw+0.075c+27.231=0

Normal equation, 1 0.092 0.102 +0.007+2.368=0

Adopted «, = 0s. 42 ae= 0». 38 c=-0>. 21

Clock fast 1'" OS'. 45 at 8". 93.

[Saint Louis, Mo., July 6, 1885. After signals. Observer, Pritchett.]

Name of star.

a Opb.iuclii.... ............

Clamp.

W.

\V.

E.

E.

Weight.

1.0

1.0

1.0

.9

1.0

1.0

1.0

.9

1.0

.8

1.0

A

+ .15

+ .10

-1.12

0 + .26

+0.45

19

+ .21 -

-1.81

+ .03

-2.75

4- .49

0

+1.01

1.17

1.20

2.44

+1.10

-1.02

1.44

1.13

3.27

1.26

4.44

-1.01

t

h. in. s. 

9 52 17.29

57 24.29

10 08 28.10

in 10 i R

10 29 33.17

oft no no

41 52.57

43 53.45

' 52 11.97

54 28.76

11 01 46.02

V

s. 

.00

+ .01

+.01

+.01

.00

+.04

03

 07

ni

-.04

+.02

Normal equation, 11.6AZ-0. 008aw 2.839a,, 5. 679c+27.780=0

Normal equation, 1 -0.001 0.245 0.490+2.395=0

Adopted aw= 0s.41 «,,= 0'.40 c=-0'.20

Clock fast lm OS'. 59 at 10b . 13.

(268)
WOODWARD.] DETAILS OF TIME WORK. 97

TABLE III Details of time work Continued. 

[Saint Louis, Mo., July 7,1885. Before signals. Observer, Pritchett.]

Name of star. Clamp.

E.

E.

W.

W.

Weight.

1.0

1.0

1.0

1.0

1.0

.7

1.0

1.0

1.0

f.o

1.0

A.

+0.19

 .06

+ 00

+ ,40

+ .36

 3.10

+0.22

+ .09

2

k*.

+ .35

+ Q1

- .10

0

1.15

1.33

1.12

1.04

1.05

.-4.87

-1-1.12

1.21

4.18

1.06

I n Q

+1.36

t

h. m. a.

8 1 Q 97 4.9

23 09.23

26 10.37

37 12.46

39 52.95

44 26.57

8'49 07.48

9 06 37.50

1A 9rt <vl

13 05.14

91 9Q 'id

26 35.61

V

s.

IM

PI

+.08

+.03

-.03

+.01

 .15

+.10

+.02

-.02

+ 09

+.02

Normal equation, 11.5A«-1.060ae -l. 170aw+0.075c+27.622=0 

Normal equation, 1 -0.092 -0.102 +0.007 +2.402=0 

Adopted aw= 0».51 ae= 0s. 37 c= 0'.22

Clock fast l m 09'. 49 at 8b. 87.

[Saint Louis, Mo., July 7,1885. After signals. Observer, Pritchett.]

Name of star. Clamp.

W.

W.

E.

E.

"Weight.

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

.8

1.0

A

in AQ

+ 1*

+ .10

1 19

J- 9fi

j-rt d^

in

+ 91

1 ftl

 !' 03

o 7c

J- 10

0

+ 1.01

1.17

1.20

2.44

+1.10

1 AO

1 17.

3

9*7

I

no

4 44

-1.01

t

h. m. s.

9

- A Q OO 91

52 01.29

CO OQ Oft

10 .04 '33.01

10 25 36.15

39 11 07

37 57.68

A Q IT A7

CA 00 0,4

57 51.16

V

8.

. nc

nt>

+.07

+ OA

.04

-.07

10

 .04

+ AQ

+ (\Q

.01

+ f\Q

Bull. 49-

Normal equation, 11.6A«-0.008aw-2.839ae-5.679c+27.216=0 

Normal equation, 1 0.001 -0.245 0.490 + 2.348=0 

.Adopted aw=-0>.56 ae=-0'.43 c= OM7 

Clock fast !« 09«. 54 at 10". 38.

(269)
98 LATITUDES AND LONGITUDES. [BULL. 49.

TABLE III Details of time work Continued. 

[Saint Louis, Mo., July 8,1885. Before signals. Observer, Pritchett.]

Name of star.

0Cor.Bor...... ...........

Clamp.

E.

E.

W.

"W.

"Weight. 

1.0

1.0

1.0

1.0

1 0

.7

1.0

1.0

.8

1.0

1.0

1.0

A

4-0.19

.06"

1 09

+ .40

+ .36

. _ D 1 A

4-0.22

4- .09

 2.55

4- .35

+ Q1

- .10

0

 + 

1.15

I

oq

1.12

1.04'

i (\f\

 4.87

4-1.12

1 91

4.18

1.06

1.08

4-1.36

t

h. in. s.

8

1 e 09 AI

1Q td. 9Q

22 15,36

qq 17 r.A

or. KG no

40 31.23

8 45 12.50

9 02 42.39

06 25.13

09 10.09

17 24.54

, 22 40.48

V

8. 

04.

04.

-.01

+ nc

no

-.04

-.05

+.08

 -.02

-.01

4-. 06

 .02

Normal equation, 11.5A<-1.060ae-l. 170»w+0.075C+37.645=0 

Normal equation, 1 -0.092 -0.102 +0.007 + 3.273=0 

Adopted aw= -0s.56 ae=-0». 51 c=-OM7 

 Clock fast 1 10».38 at 8h .80.

[Saint Louis, Mo., July 8, 1885. After signals. Observer, Pritchett.]

Name of star. Clamp.

W.

W.

E.

E.

Weight.

1.0

1.0

1.0

.9

1.0

1.0 '

1.0

1.0

.9

. 1.0

.8

1.0

'A

+0.49

+ .15

+ .10

1 19

+ .26

+0.45

in

+ .21

1 fi1

_i_ fiQ

 2.75

+ .49

0

+1.01

1.17

1.20

2.44

+1.10

1 <19

1.13

3

f\f

1 26

4.44

-1.01

t

h. m. s. 

9 44 27.49

48 06.39

49 -34.42

1O flft Q7 77

02 29.34

10 21 43.34

OQ TO 03

34 02.70

no no oo

44 22. 05

46 38.25

eo .EC 97

V

8. 

.01

.02

+.04

.07

+.02

no

-.08

+.11

+ n^

-.04

j- n<i

Normal equation, 11.6A<-0.008aw-2.839ag-5.679c+37.664=0 

Normal equation, 1 -0.001 -0.245 -0.490 + 3.247=0 

Adopted aw=-0'. 73 ae=-03.63 c = -OM9

Clock fast lm 10'. 49 at 10". 31.

(270)
WOODWARD.] DETAILS OF TIME WORK. 99

TABLE III Details of time work Continued. 

[Saint Louis, Mo., July 14, 1885. Before signals. Observer, Pritchett.]

Name of star. £lamp.

W.

W.

E.

E.

Weight.

1.0

.7

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

.6

1.0

A

+0.40

-3.10

+ .22

+ .35

- .83

+ Q1

- .10

 0.01

+ 4Q

+ .15

-5.09

+ .42

0

+1.04

4.87

1.12

1.06

2 11

1.08

+1.36

-1.29

1.01

1.17

7.38

-1.03

t

h. m. a. 

8 09 49.23

17 03.29

21 43.90

45 41.70

51 14.83

53 05.75

59 11.81

9 07 43.69

20 58.36

24 37.35

OR 07 7fi

38 06.26

V

S.

-.02

+.04

+.02

+.24

.24

-.06

+.03

+.05

-.03

-.01

+.06

 .04

Normal equation, 11.3A« 1.820^ 2.004^+2.251c+46.174=0

Normal equation, 1 0.161 0.177 +0.199 + 4.086=0

Adopted au)=-0". 65 ae= 0». 60 c= OM4

Clock fast lm 17'. 27 at 8". 85.

iSaint Louis, Mo., July 14,1885. After signals. Observer, Pritohett.J

Name of star.

110 Eerculis ................

Clamp.

E.

E.

W.

W.

"Weight.

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

A

+0.45

19

+ 91

- .36

0.00

+ .33

+ -11

- .69

-1- .13

+ .43

0

-1. 02

1 44

1.13

1.61

+1.28

1.07

1.19

1.96

1 1Q

+1.03

t

h. m. s. 

9 58 14.69

in OA f.n dfi

10 34.08

22 30.68

11 01 31.43

09 10.66

14 16.88

17 56.55

23 03.99

28 32.13

V

8.

+.09

.01

-.05

f.05

-.14

+.10

 04

+ na

+.04

-.11

Normal equation, 10. OAt+0. IIO^+O.310aw+2.520c+4.670=0 

Normal equation, 1 * +0.011 +0.031 +0.252+0.467=0 

Adopted att= 0s. 75 a4= 0'.32 c= 0§. 19

Clock fast 1- 17-. 39 at 10h. 82.

(271)
100 LATITUDES AND LONGITUDES. [BULL. 49.

TABLE III Details of time work Continued. 

[Saint Louis, Mo., July 15,1885. Before signals. Observer, Pritchett.]

Name of star. Clamp.

W.

W.

E.

E.

X

Weight.

 1.0

.7

1.0

1.0

0.8

1.0

1.0

1.0

1.0

A

+0.36

 3.10

+ .22

+ .09

-2.55

+ .35

+ .31

- .10

.01

a

+1.05

4 87

1.12

+1.21

-4.18

1.06

1.08

1.36

1 9O

t

h. m. s. 

, 8 08 34.90

13 08.58

17 49.05

35 18.84

8 38 00.17

41' 46.26

60 10.64

55 16.51

9 03 48.79

V

s. -.04

+.04

.00

+.06

.00

+.02

+.03

-.05

.01

Normal equation, 8.5At l.'500aw 1.490ae 1.345c+18. 015=0 

Normal equation, 1 0.176 0.176 0.158 + 2.119=0 

Adopted aw= 0s. 63 ae= 08.47 c=-OM5

Clock fast 1" 18». 33 at 8b. 50.

[Saint Louis, Mo., July 15,1885. After signals. Observer, Pritchett.]

Name of star.

72 Ophiuchi...... ..........

Clamp.

E.

E.

W.

W.

Weight.

0.6

1.0

1.0

1.0

1.0

1.0

.9

1.0

1.0

1.0

A

 5.09

+ .42

+ (\A

_1_ d.<\

 .19

+0.21

 1.81

+ .03 '

+ .49

+ .20

0

 7.38

1.03

1.25

1.02

 1.44

+1.13

3.27

1.26

1.01

+1.14

t

h.. m. s. 

9 22 32.85

34 11.49

35 49.08

54 19.79

10 00 55.60

10 06 39.61

08 40.60

16 59.03

26 33.15

27 42 23

V

s.

a. f)9

-L. f>9

+.01

 .04

1 fl3

fto

 .03

+.07

+.02

Normal equation, 9.5A« 2.334ae 0.699aw 1.685c+39.781=0

Normal equation, 1 0.246 0.074 0.177 + 4.188=0

Adopted aw= 0».63 ae= 0».56 c= O'.IT

Clock fast 1» 18».40 at 10h.OO.

(272)
WOODWARD.] DETAILS OF TIME WORK. 101

TABLE III Details of time icork Continued. 

[Saint Louis, Mo., July 19,1885. Before signals. Observer, Pritchett]

Name of star. Clamp.

E.

E.

W.

W.

Weight.

1.0

1.0

.7

1.0

1.0

0.8

1.0

, 1.0

1.0

1.0

1.0

1.0

A

+0.40

+ .36

 3.10

+ .22

+ .09

2.55

+ .35

+ .31

 .10

 .01

+ -41

-1- .49

0

 1.04

1.05

4.87

1.12

 1.21

-L4 Ifi

1.06

1.08

1.36

1.29

1.04

+1.01

t

h. TO. 8.

7 50 14. 82

52 55.22

57 27.63

8 02 09.35

19 39.30

8 23 21.44

26 07.24

34 31.67

39 37.52

48 09.67

56 02.68

9 01 24.58

a

+.03

 .10

+.03>

 .05

+.17

+ 09

 .07

+.01

-.09

 .16

+.13

+.03

Normal equation, 11. 5A« 1. 100ae 0.590^+2.355c+30.559=0

Normal equation, 1 0.096 0.051 +0.205+2.657=0

Adopted a^sr 0'. 62 ae~ °°- 59 c= 0». 13

Clock fast lm 22«.72 at 8".41.

[Saint Louis, Mo., July 19,1885. After signals. Observer, Pritchett.]

Name of star.

109 Hercnlis ...............

\ 

Clamp.

W.

W.

E.

E.

"Weight.

0.6

1.0

1.0

1.0

1.0

1.0

1.0

.9

1.0

1.0

1.0

A

 5.09

-J- A"i

 .19,

+ .56

+ .21

+ .03

j- 11

-1.88

+ .33

+ -11

 .12

. 0

+7.38

1.02

1.44

1.00

1.13

+1.26

 1.08

3.36

1.07

1.19

 1.39

t

h. in. s. 

9 06 55.22

38 40.91

45 16.51

46 51.35

51 00. 26

10 01 19.55

10 27 44.62

32 03.03

4.Q Q<5 OQ

54 42.31

11 00 41.43

V

8.

-L. (Id

+.16

 .07

+.07

 .18

+ AQ

+.03

1Q

+ 09

.00

_L. nu

Normal equation, 10.5A« 1.994a10 1.062ae 2.524c+26.912=0

Normal equation, 1 0.190 0.101 0.240s + 2.563=0

Adopted aw= 0'. 53 aa= 0'.62 c= O'.ll

Clock fast lm 22". 70 at 10". 21.

(273)
102 LATITUDES AND LONGITUDES. [BULL. 49.

TABLE III Details of time teorfc*-Contmued. 

[Saint Louis, Mo., June 10,1885. Before signals. Observer, Pritchett.]

Name of star. Clamp.

E.

E.

W.

W.

Weight.

1.0

1.0

0 9

1.0

0.7

1.0

1.0

1.0

1.0

4

+0.37

3A

 1.05

+ .25

p ns

- .20

+ .16

+ .39

+ 99

0

1

fl£

1

KC

2 3fi

'-1.11

+4 84

1.46

1.16

1.04

+1.13

1 <

h, m. s.

8

f)A -I Q OQ

OK QQ Oft

43 40 40

47 35.73

51 36.49

55 24.65

0 09 14.95

17 41.09

22 18.53

V

s.

M

.11

+.14

-.01

+.14

-.04

-.09

-.02

Normal equation, 8.6A{-0.625afi-l. 5860^+2.344c+22.958=0

Normal equation, 1 0.073 0.184 -(-0.273 + 2.669=0

Adopted cv=-2". 72 ae=-2». 61 c=+0s. 01

Clock fast 50'. 36 at &. 88.

[Saint Louis, Mo., June 10, 1885. After signals. Observer, Pritchett.]

Name of star. Clamp.

W.

W.

E.

E.

Weight.

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

A

+0.10

+ .02

- .69

+ .22

4- W

+0.22

 .67

+ .67

+ .09

_L Q5

0

+1.20

1.26

1.96

1.12

+1.01

1.12

1.93

1.00

1.21

-1.06

«

h. m. s. 

9 53 07.36

 10 02 22.50

04 34.0(j

12 01.83

20 48.42

34 58.80

41 50.17

50 27.14

52 28.50

KQ Kfi Cfl

V

S.

 .10

+ .06

+ .09

.00

-.01

+ .01

 .01

-.12

+.09

+ .05

Normal equation, 10A«+0.180aw +0. 660ac+0.230c+29.270=0 

Normal equation, 1 +0.018 +O.OG6 +0.023+2.927=0 

Adopted aa= -2'. 72 »e=-2».58 c = +0'.ll

Clock fast 50-.70 at 10h. 45.

(274)
WOODWARD.] DETAILS OF TIME WOKK. 103

TABLE III Details of time worfc Continued. 

[Saint Louis, Mo., Juno 10,1885. Before signals. Observer, Woodward.]

Name of star. Clamp.

E.

E.

W.

W.

Weight.

1.0

0.9

1.0

1.0

0.7

0.3

0.8

1.0

1.0

1.0

A

+0.62

 .30

+ .36

+ .60

 1.05

 3.08

 .39

+ .16

+ -39

+ .69

0

-1.00

1.55

1.06

1.00

 2.36

+4.84

1.64

1.16

1.C5

+1.00

t

h. m. 8. 

iq on Od 94

43 33.95

49 46.62

56 22.07

M m IQ KA

09 49.22

21 49.83

27 25.93

35 53.18

37 34.40

V

IV>

 .02

 .01

 .02

 .04

+.22

+.01

-.05

+.01

+.02

Normal equation, 8.7 At+0.575afl-i-0.004aw-0.133c4-32.788=0 

Normal equation, 1 +0.066 +0.000 0.015 + 3.769=0 

Adopted aw= 0'. 62 cu= 0-.62 c=+0'.21

Chronometer fast 31". 73 at 14b. 12. 

[Saint Louis, Mo., June 10,1885. After signals. Observer, Woodward.]

Name of star.

|3 Cor. Bor...... ............

Clamp.

W.

W.

E.

B.

Weight.

1.0

.6

1.0

1.0

1.0

0.3

1.0

0.8

1.0

1.0 0.9*

A

+0.55

 1.29

+ 1 Q

+ .53

+ .67

-3.10

j.n 01

 .67

+ .67

+ .68

_ on

0

+ 1.00

2.65

1 l'5

1.01

1.00

-L4 fl7

-1.08

1.93

1.00

1.00

-1.46

t

h. m. .8. 

15 10 02.54

13 51.90

OQ OQ Q7

39 10.48

44 11.65

48 44 19

K± tfl tf>

16 00 18.50

no KA in

19 40 9ft

16 51.67

V

«. 

-0.02

97

.20

+ .02

+ .10

+ Qf7

+ AO

- .11

- .01

+ .01

+ '.22

Normal equation, 9.6AJ+0.226aM +l. 574ae+l. 273c+27.221=0 

Normal equation, 1 +0.024 +0.164 +0.133 + 2.838=0 

Adopted aw= 0s. 37 ae= fr. 37 c=+0«. 24

Chronometer fast 31». 80 at 15h. 79.

(275)
104 LATITUDES AND LONGITUDES. [BULL. 49.

TABLE III Details of time work Continued. 

[Saint Louis,Mo., June 12,1885. Before signals. .Observer,Pritchett.]

Name of star. Clamp.

E.

E.

W.

W.

Weight.

1.0

1.0

1.0

0 9

1.0

0.7

1.0

1.0

1.0

1.0

A

+0.37

in

+ .36

1.05

+ .25

Q OH

_ on

+ .16

+ .39

+ .22

0

1 ft^

1.55

1.06

2.36

-1.11

+4 84

1.46

1.16

1.04

+1.13

(

h. m. s. 

8 16 21.10

n

oo 71

Oq AA ftl

or AR An

39 38.68

43 43.52

46 27.89

9 01 17.85

09 43.69

14 21.30

V

8. 

+ O3

.14

+.01

+ (\:>

+.15

no

-.10

+.06

+.07

-.01

Normal equation, 9.6A«-0.265a(J-1.586au,+t. 284c+33.801=0

Normal equation, 1-0.028 0.165 +0.134 + 3.521=0

Adopted ow = 0". 65 oe=-0'.71 c=+0'.18

Clock fast 45'. 67 at 8". 71.

[Saint Louis, Mo., June 12,1885. After signals. Observer, Pritchett.]

Name of star.

i^ Bootis ............. ..

vl Bootis ..................

Clamp.

W.

W.

E.

E.

"Weight.

1.0

1.0

1.0

.9

1.0

1.0

1.0

1.0

0.7

A

0.05

+ .22

+ .10

 1.82

i 1Q

 0.06

+ .22

; + . 36

 3.10

0

_I_1 39

1 iq

i 9n

3.28

+1.15

1 3*1

1.12

1.05

-4.87

t

h. m. " s.

0

01 C7 no

33 51.32

AK m 34

55 10.12

57 21.64

10 01 04.06

03 05.08

17 47.66

22 23145

V

8.

.01

+.03

+.07

+.02

.04

09

+.06

+.03

-JO

Normal equation, 8.6A« 1.178aw 1.650ae +0.843c+20.956=0

Normal equation, 1 0.137 0.192 +0.098 + 2.437=0

Adopted aw= 0». 74 ae= 0'.65 c=+0'.23

Clock fast 45'. 68 at 9". 92

(276)
WOODWARD.] DETAILS OF TIME WORK. 105

TABLE III Details of time tvork Continued. 

[Saint Louis, Mo., June 12, 1885. Before signals. Observer, Woodward.]

Name of star.

flBootis...... ..............

Clamp.

W.

W.

E.

o

E.

Weight.

1.0

.9

1.0

1.0

0.7

1.0

0.3

0.8

1.0

1.0

A

+0.62

 .30

+ .36

+ .60

 1.05

+0.25

 3.08

 .39

+ .16

+ .39

0

+1..00

1.55

1.06

1.00

+2.36

~l.ll

4.84

1.64

1.16

 1.05

' t

h. m. s. 

13 29 22.38

43 31.90

49 44.59

56 20.07

14 01 47.60

05 41.73

09 50.63

21 49.12

27 24.83

35 52.01

V

8.

+.09

 .02

 .02

+.04

+.12

+.04

-.37

-.08

 .08

+.05

Normal equation, 8.7A<+0.575att-0.436ae+0.023c+ll. 255=0

Normal equation, 1 +0.066 0. 050 +0.003 + 1. 294=0 

Adopted <v= 0». 31 ae = OM2 . c=+0».21. 

Chronometer fast 30s. 28 at 14>>. 06.

[Saint Louis, Mo., June 12,1885. After signals. Observer, Woodward.]

Name of star.

/S Cor. Bor... ...............

pi Jjootis

<5Scorpii ...................

Clamp. (

E.

E.

W.

W.

Weight.

0.9

1.0

0.5

1.0

O n

1.0

1.0

0

9

1.0

0.8

A

 0.05

+ 7E

 1.82

+ 10

 .06

+0. 53

+ .67

 3.10

J- QJ.

 g7

0

 1.32

1.01

3.28

1.15

_ 1 33

+1. 01

1.00 

4.87

i fla

+1.93

(

h. m. s.

14 58 09.27

15 11 22.15

O1 *J7 QO

23 37.87

97 90 *1(\

39 08.87

44 09 86

54 05.25

16 00 16.00

V

s.

_i_ 19

no

oq

+ AQ

+.14

+.05

 .04

+ 07

.07

.21

Normal equation, 8.4At 0.069ae+0.674atu 0.090c+9.409=0

Normal equation, 1 0.008 +0.080 0. Oil -fl. 120=0

Adopted ow = 0'. 30 <V= 0'. 30 c=+OM4

Chwmometer fast 30s. 10 at 15". 53.

(277)
106 LATITUDES AND LONGITUDES. [BULL.49.

TABLE III Details of time loorfc Continued. 

[St. Louis, Mo., June 14,1885. Before signals. Observer, Pritchett.J

Name of star.

y* UrsseMinoris ...........

/SCor. Bor...... ...........

Clamp.

W.

W.

Weight.

1.0

1.0

1.0

0.9

1.0

1.0

1.0

1.0

1.0

0.7

'1.0

1.0

A

 0.05

+ OO

+ .75

 1.82

+ .19

.06

+0.53

+ .40

+ .36

 3.10

1 CO

+ .09

0

1 O*)

1 1 q

1.01

0 OQ

1.15

1 33

+1.01

1*04

1

-nc

4.87

1 12

_L1 *>T

t

ft. m. s. 9 24 07.44

OK A-i CQ

37 18 49

47 *>1 ft!

4Q 31 fl3

KO 10 71

10 05 00.30

no pro no

14 31 7ft

19 11.10

36 40.96

V

e.

+ 19

+ .11

 .05

+ 39

 .05

04

10

 .07

09

no

+.05

Normal equation, 11.6At 0.588ae 0.570^ 0. 053c+37.833=0

Normal equation, 1 0.051-0.049 " 0.005+3.261=0

Adopted ^=-0-58 ae= 0s. 65 c=+OM2

Clock fast 47s. 32 at 9". 95.

[Saint Louis, Mo., June 14, \885. After signals. Observer, Pritchett. |

Name of star.

19 Ursse Minoris ...........

eHerculia... ..............

Clamp.

W.

W.

E.

E.

Weight.

1.0

0.8

1.0

1.0

1.0

1.0

1.0

1.0

.9

1.0

A

+0.68

 2.55

1 91

 .10

 .01

+0.49

a. 11

+ .10 .

 1.12

-1. 9fl

0

+ 1.00

1 4.18

1.08

1.36

+1.29

 1.01

1.17

1.20

2.44

 1.10

t

h. m. s. 

10 38 33.09

40 24.06

51 33.06

56 39.03

11 05 11.17

18 26.16

90 M on

23 33.27

34 37.16

36 28.07

V

-.07

 .03

+-.10

T-.04

 .06

.00

 .01

+.08

+.01

+.03

Normal equation, 9.7A« 1.160aw 0.008ae+l. 398c+22.477=0 

Normal equation, 1 0.120 0.000 +0.144 + 2.317=0 

Adopted aw=-0>. 38 ae= 0-.56 c=+OM9 

Clock fast 47'. 39 at llb. 11. .

(278)
WOODWARD.] DETAILS OF TIME WORK. 107

TABLE III Details of time worlc Contimied. 

[Saint Louis, Mo., June 14,1885. Before signals. Observer, Woodward.]

 Name of star. Clamp.

W.

W.

E.

E.

"Weight.

1.0

1.0

1.0

0.6

n f(

n o

1.0

i.o

0.3

A

2 99

J QQ

+ .22

+ rjK

 1.29

1.82

06

+ .53

+ -67

 3.10

0

i Q T7

1.10

' 1.13

1.01

 3.28

1.33

1.01

1.00

 4.87

t

h. in. s.

57 51.37

15 00 01.11

11 19.67

13 48.75

27 18.34

39 06.88

44 07.99

48 42.52

V

s. 10

+.01

+.09

-.06

+.07

 .26

+.10

 .05

.00

+.32

Normal equation, 7.7A«+0.298aw+0.694afl+0.030c+7.404=0

Normal equation, 1' -0.039 0.090 +0.004+0.962=0 

Adopted aro=-0'.20 «e=-0>. 20 c=+OM5

Chronometer fast 27". 97 at 15h . 32.

[Saint Louis, Mo., June 14,1885. After signals. Observer, Woodward.]

Name of star.

Gr. 2377..................

Clamp.

E.

E.

W.

W.

"Weight.

1.0

1.0

0.9

0.7

 0.6

1.0

0.8

1.0

A

+0.67

 .20

 .83

 1.41

+ .14

 .58

4- 4Q

+ 1K

0

 1.00

1.00

1.46

-2.11

+ 2.79

1.18

1.84

1.01

+1. 17

t

h. in. s. 

16 08 50.04

12 45.11

16 47.64

22 56.68

28 42.82

37 27.15

43 36.95

CO ,10 Qft '

56 23.62

V

g.

+.01

 .01

+ 99

93

+.30

 .10

 .15

+.01

+.03

Normal equation, 8. OA<+0. 598ac 0. 530ato+l. 715c+6. 720=0

Normal equation, 1 +0. 074 0. 066 +0. 214 +0. 840=0

Adopted aw = 0-.25 ae= °'- 25 c= -OM7

Chronometer fast 27". 87 at 16h. 52

(279)
108 LATITUDES AND LONGITUDES. [BULL. 49.

TABLE III Details of time ivork Continued. 

[Saint Louis, Mo., July 24, 1885. Before signals. Observer, Pritchett.]

Name of star. Clamp.

E.

E.

"W.

W.

"Weight.

0.8

1.0

1.0

1.0

1.0

1.0

1 0.6

1.0

1.0

1.0

1.0

1.0

1.0

A

2.55

- .83

+ .31

+ .77

- .01

J- 40

-5.09

+ .42

+ .26

+ .04

_L 07

' - .39

+ .45

0

-418

2.11

1.08

1.02

1.29

-1.01

+7.38

1.03

1.10

1.25

1.09

1.64

+1.02

t

h. m. s. 

8 03 45.27

12 05.12

14 56.65

20 29.59

28 34.74

41 49.51

47 19.36

58 57.81

59 51.75

9 00 35.36

08 53.76

17 19. 97

19 06.16

V

s.

+ Dfl

-.25

-.07

-.15

-.03

-.16

+.34

+.07

+.10

j- ni

-.06

+.05

+.05

Normal equation, 12.4A«-1.3iO»e -l.304aro+l. 704c+30.440=0 

Normal equation, 1 -0.106 -0.105 +0.137 + 2.455=0 

Adopted aw =-0». 68 ae=-0s.76 c=-OMO

Clock fast lm 27». 59 at 8". 76.

[Saint Louis, Mo., July 24, 1885. After signals. Observer, Pritchett.]

Name of star.

oHerculis ...............

109 Herculis ...... ...i.....

Clamp.

W.

W.

E.

E.

W eight.

1.0

1.0

0.9

1.0

1.0

1.0

0.3

1.0

0.9

1.0

1.0

1.0

A

 0.19

+ ' .56

 1.81

+ .03

4- 0 4Q

+ . .20

-12. 59

+ .31

 1.88

.00

+ .33

+ -11

0

t- 1.44

1.00

3.27

+ 1.26

1.01

1.14

16.94

1.08

3.36

1.28

1.07

 1.19

t

h. m. s. 

9 25 41.94

27 16.79

33 26.13

41 44.86

k-i 10 OR

52 27. 79

58 43.71

10 08 09.96

12 28.24

22 22.33

30 01.45

35 07.74

V

S

 .05

 .05

+.03

 .06

Art

 .14

+.03

-.04

+.05

+ AO

+.17

+.12

Normal equation, 11. lAt-1. 229aw -4. 029ae-8. 233c+24. 965=0 

Normal equation, 1 0.111 -0.363 -0.742 + 2.249=0 

Adopted aw=-0s.72 a(!=-03.69 c= O'.IS

Clock fast lm 27'. 69 at 9h . 98.

(280)
WOODWARD.] DETAILS OF TIME WOEK. 109

TABLE III Details of time work Continued. 

[Sainc Louis, Mo., July 24, 1885. Before signals. Observer, Woodward.]

Name of star.

Gr.2377...... ..........

Clamp.

W.

W.

E.

E.

Weight.

0.7 

1.0 

0.6 

1.0 

0.8 

1.0

0.1 

1.0 

0.6 ' 

1.0 

1.0 

1.0

A

-0.83 

+ .31 

-1.41 

+ .77 

- .58 

+ -41

-5.09 

+ .84 

-1.12 

+ .26 

+ .99 

+ .45

O

+2.11 

1.08 

2.79 

1.02 

1.84 

+1.04

-7.38 

1.04 

2.44 

1.10 

1.10 

-1.02

t

h. m. s. 

16 22 34.21

25 2S..76 

28 20.27 

30 59.38 

43 15.57 

47 00.26

57 57.08 

17 03 57.24 

08 37.28 

10 28.44 

15 07.43 

29 45.92

V

-.07 

+.04 

+.07 

-.07 

+.09 

+.12

-.36 

-.22 

+.21 

+.10 

-.17 

+.06

Normal equation, 9.8A< 0.401»1U +1.359«e+l. 301c+10.703=0

Normal equation, 1 -0.041 +0.139 +0.133 + 1.092=0

Adopted aw= 0'.30 . ae= O'.IS c=+0'.25

Chronometer fast 7'.12 at 16b .88.

[Saint Lonis, Mo., July 24,1885. After signals. Observer, Woodward.]

Name of star. Clamp.

E.

E.

W.

W.

Weight.

1.0

1.0

0.5

1.0

0.8

1.0

1.0

1.0

1.0

1.0

A

+0.56

+ .21

1 pi

+ .76

-0.36

+ AQ

+ .20

O- 01

+ .66

+ 01

0

 LOO

113

3 97

1.01

+1.61

1.01

1.14

1.07

1.00

+1.08

t

h. m. s. 

17 37 57.67

42 07.63

44 09 61

52 52.16

54 05.06

id no HQ AQ

no -in oe

07 03.24

15 31.31

18 57.51

V

8.

+.01

+ 1B

.00

AO

or

+ AO

+ ns

ftO

.05

+ 09

Normal equation, 9.3At+0.625ae+2.302au,+1.813c+9.556 =0 

Normal equation, 1 +0.067 +0.248 +0.195+1.0275=0 

Adopted aw= Q>. 14 aa= 0s. 14 c=+0'.28

Chronometer fast 7'. 04 at 17h. 98.

(281)
110 LATITUDES AND LONGITUDES. [BULL. 49.

TABLE III Details of time work Continued. 

[Saint Louis, Mo., July 26,1885. Before signals. Observer, Pritchett.]

Name of star.

Gr. 2320.. ................

Clamp.

E.

E.

W.

TV.

Weight.

1.0

1.0

O n

1.0

1.0

0.8

1.0

1.0

1.0

1.0

A

+0.22

-f .90

1 V>

+ .67

+ .09

-2.55

+ .35

+1.01

j- 31

 .10

G

-1.12

1.06

2.68

1.00

 1.21

+4.18

1.06

1.11

1.08

+1.36

t

h. m. s. 

7 34 45.19

40 40.97

47 51.96

50 12.98

52 14.91

55 56 92

58 43.17

8 04 14.27

07 07.55

12 13.46

V

«. 

+.01

+.09

nc>

-.06

+.02

+.04

-.05

+.04

 .01

-.02

Normal equation, 9.7A«+0.692ae 0.470aro+l. 152C+19.902=0

Normal equation, 1 +0.071 0.048 +0.119 + 2.052=0

Adopted aw= 0'. 64 ae= 0«. 53 c= 0". 18

Clock fast lm 30'. 02 at 7h. 90.

[Saint Louis, Mo., July 26, 1885. After signals. Observer, Pritchett.]

Name of star.

{Draconis........ .........

Clamp.

W.

W.

E.

E.

"Weight.

1.0

0.6

1.0

1.0

1.0

1.0

1.0

1.0

1.0

1.0

A

+0.49

-5.09

+ 49

+ .26

-4- 04

+ 0.45

+ .56

+ 01

 .67

 .36

0

+1.01

7.38

1.03

1.10

+1.25

1.02

1.00

1 13

1.83

 1.61

t

7i. m. s.

8 qq fit) 07

39 29.41

51 08.32

52 02.16

52 46.00

9 11 16.46

19 27.05

33 08.79

35 31.99

V

a. 

.05

 .14

 .01

 .08

+.10

j- M

+ 

r\n

.00

+.07

fix.

Normal equation, 9. 6Ae-l. 844»U) +0.290»e+2.228c+27.712=0

Normal equation, 1 0.192 +0.030 +0.232+2.887=0

Adopted aw= 0'. 68 ae= 0«. 74 c= 0«. 15

Clock fast lm 29". 96 at 8b . 77.

v (282)
WOODWARD.] DETAILS OF TIME WORK. Ill

TABLE III. Details of time ivorlc Continued. 

[Saint Louis, Mo., July 26,1885. Before signals. Observer, Woodward.]

Name of star.

Gr.2377. ................

Clamp.

E.

E.

W.

W.

Weight.

0.3

1.0

0.8

1.0

1.0

0.7

1.0

0.6

1.0

0.8

A

 3.10

+ .22

 ..67

+ .67

+ .68

 0.83

+ .31

-1.41

+ .77

 .58

0

-4.87

1.12

1.93

1.00

 1.00

+2.11

1.08

2.79

1.02

+1.84

t

h. in. s. 

15 48 13.87

52 54.93

59 48.62

16 08 24.93

12 20.06

16 22 30.42

25 21.91

28 16.63

30 55.52*

43 11.70

t> 

I

«.

+ OQ

"+.14

-.07

-.10

-.06

 .15

+.08

+.12

 .01

-.05

Normal equation, 8.2<+A0.104a(!-0.81lflK,+0.598c+o.734 =o

Normal equation, 1 +0. 013 0. 099 +0. 073 +0. 0895=0 

Adopted «, = 0'. 24 ac= 0s. 24 c=+0». 10 

Chronometer fast 3'. 12 at 16b. 27.

[Saint Louis, Mo., July 26, 1885. After signals. Observer, Woodward.]

Name of star. Clamp.

i

Ww.

E.

*

E.

Weight.

1.0

1.0

1.0

0.6

1.0

0.8

1.0

1.0

1.0

0.8

A

+0.49

+ .15

+ .84

119

+ .26

 0.39

4- 41)

+ .56

+ .21

 .36

G

+1.01

1.17

1.04

2.44

+1.10

-1.64

1.02

1.00

1.13

 1.61

t 

h. m. s. 

16 52 18.99

55 58.63

17 03 52.97

no o-t rya

in 90 77

17 27 55.75

29 41.74

37 53.51

42 03.42

54 02.26

V

s. -.01

+.07

.06

.02

n<?

 .11

+.02

__ fU

+.04

a. 11

Normal equation, 9. 2A«+L OeSa^+0. 620ac+0. 034c+l. 124 =0 

Normal equation, 1 +0. 116 +0. 067 +0. 004 +0. 1222=0 

Adopted aw= <f. 23 ac=0-.00 c=+0".20

Chronometer fast 3'. 10 at 17h . 33.

(283)
112 LATITUDES AND LONGITUDES. [BULL. 49.

(13) Time-piece corrections and rates. Collecting the clock corrections 

and their epochs from the preceding tables, and deriving the hourly 

rates of the time-pieces from equation (7) of section (9), we have the following Table IV:

%

TABLE IV. Time-piece corrections, epochs, rates, etc.

Station.

'

Elk Falls, Kans.. ......... _ ..

Fort Scott. Kans ..............

Springfield, Mo ................

Date.

1884. 

August 29

30

31

September 1

l!

2

25

28

October 2

6

17

18

19

22

23

November 13

14

15

16

Chronometer 

correction.

m. s. 

 0 22.72

-0 22.58

 0 20.76

 0 20.58

 0 18.86

 0 18.71

-0 17.12

 0 16.92

 0 14.79

 0 14.98 

 3 49. 18

 3 49.06

 3 44.69

 3 44.62

-3 37.55

-3 37.37

 3 28.25

-3 28.15 

+2° 53.86

+2 53.99

+2 56.16

+2 56.33

+2 58.47

+2 58.72

+3 05.58

+3 05.83

+3 08.94

+3 09.18 

 0 15.17

-0 15.08

-0 11.31

-0 11.20

-0 07.61

 0 07.48

-0 04.58

 0 04.48

Epoch.

h. 

18.02

20.49

18.06

20.52

18.19

20.47

18.06

20.48

18.11

20.47 

20.06

22.36

20.13

22.16

20.95

22.70

20.21

22.62 

20.78

23.16

20.75

00 (M

8

&tt, y*

20.75

22.74

21.11

23.42

21.02

23.25

no QO £iu, Oa

24.16

22.82

24.03

22.71

24.39

22.81

24.03

Hourly 

rate or 

time-piece.

s. 

+0.057

+0. 073

+0. 066

+0.083

-0. 081

+0. 052

+0.034

+0. 103

+0. 042

+0.055

+0.077

+0.125

+0. 108

+0. 107

+0. 067

+0.091

+0.077

+0. 082

Chronometer by 

Bond & 

Sons.

.No. 187

187

187

187

187

187

187

187 

187

1R7 J.O*

187

187

187

187

187

187.

187

(284)
WOODWARD.] TIME-PIECE CORRECTIONS, ETC.

TABLE IV. Time-piece corrections, epochs, rates, etc. Continued.

113

Station.

Bolivar, Mo.....................

Saint Louis, Mo................

Albuquerque, N. Hex ..........

Saint Louis, Mo................

Date.

1884. 

December 15

18

1885. June 10

12

14

July 2

6

7

8

14

15

19

9164

20

Chronometer 

correction.

m. g. 

+1 32.21

+1 32.58

-j-1 46.61

+ 1 47.13 

_ v nOX« 31 73(O

-0 31.80

 0 30.28

-0 30.10

 0 27.97

 0 27.87 

-0 07.56

. 0 07.71

-0 07.11

-0 07.10

 0 06.88

-0 06.91

 0 06.32

-0 06.31

-0 03.93

-0 03.89

 0 03.85

-0 03.77

-0 02.70

-0 02.67

O H7 11

-0 07.04

-0 03.12

T 0 03.10

Epoch.

h.

2.10

3.53

0.94

2.46 

14.12

15;79

14.06

15.53

15.32

16.52

14.73

16.79

14.84

16'. 58

14.77

16.58

14.91

17.11

15.48

16.67

15.69

16.60

15.45

16.63 

16.88

17.98

16.27

17.33

Hourly 

rate of 

time-piece.

+o! 258

+0. 342

O A4.9

+0. 123

+0.083

-0.073

+0.006

-0.017

+0.005

+0.034

+0.088

+0. 025

+0.073

+0. 019

Chronometer by 

Bond & 

Sons.

187

187

10 1Q7 f

187

187

187

187

187

187

187

187

187

1fl7 lot

187

Bull. 49 8

(285)
114 LATITUDES AND LONGITUDES. [BULL. 49. 

TABLE IV. Time-piece corrections, epochs, rates, etc. Continued.

Station.

Saint Lonis, Mo ................

Date.

1884. 

August 29

30

31

September 1

2

25

28

October 2

6

17

18

19

22

23

November 13

14

15

16

December 15

18

Clock 

correction.

ra. «. 

 0 49.96

-0 50.00

-0 49.59

 0 49.59

 0 49.05

 0 49.10

 0 49.25

-0 49.18

-0 49.00

-0 48.93

-0 49.24

-0 49.13

 0 49.49

-0 49.24

 0 48.05

 0 48.12

 0 49.15

-0 49.18

 1 12.24

 1 12.25

-1 13.23

-1 13.37

-1 13.66

-1 13.59

 1 12.44

 1 12.45

 1 12.30

-1 12.20

 1 03.77

-1 03. 74

-0 48.88

-0 48.74

 0 48.90

-0 48.86

-0 48.08

 0 48.00

-0 03.20

-0 03.07

-0 51.24

 0 51.25

Epoch.

ft. 

8.33

9.90

8.42

9.83

8.39

9.73

8.32

9.66

8.24

9.60

8.44

10.02

8.22

9.68

8.35

10.07

8.10

9.34

8.55

9.58

8.07

9.07

8.03

8.99

7.86

8.88

7.79

8.72

7.54

9.14

7.37

8.78

7.26

8.66

7.23

8.65

9.01

9.96

7.95

9.12

Hourly 

rate of 

time-piece.

s. 

0.026

o.'ooo

-0. 038

+0. 053

+0. 052

+0.071

-f-0.]71

-0.041

 0. 024

 0. 009

-0. 140

+0. 073

-0. 010

+0.108

+0. 019

+6. 099

+0. 029

+0. 056

+0. 137

-0. 009

Clock by 

Howard.

No. 225

225

225

225

225

225

225

225

225

214

214

214

. 214

214

214

225

225

225

214

225

(286)
WOODWARD.] APPARENT LONGITUDE DIFFERENCES.

TABLE IV. Time-piece, corrections, epochs, rates, etc. Continued.

Stations.

Saint Louis, Mo............ ....

Date.

1885.

June 10

12

14

July 2

6

7

8

14

15

19

24

26

Clock 

corrections.

m. s.

 0 50.36 

 0 50. 70

 0 45.67

 0 45.68

-0 47.32

-0 47.39

-1 04.20

 1 04.25

-1 08.45

-1 08.59

-1 09.49

 1 09.54

 1 10.38

--1 10.49

-1 17.27

-1 17.39

 1 18. 33

-1 18.40

 1 22.72

-1 22.70

 1 27.59

 1 27.69

 1 30.02

-1 29.96

Epoch.

h.

8

QO

. oo 

' 10.45

8.71

9.92

9.95

11.11

9.19

10.68

8.93

10.13

8.87

10.38

8.80

10.31

8.85

10.82

8.50

10.00

8.41

10.21

8.76

9.98

7.90

8.77

Hourly 

rate of 

time-piece.

«.

-0. 217

 0. 008

-0. 060

-0. 034

-0. 117

-0.033

-0. 073

-0.061

-0. 047

+0. Oil

 0. 082

+0. 069

Clock by 

Howard.

225

214

. 214'

214

214

214

214

214

214

214

214

214

(14) Apparent differences of longitude. In comparing time-pieces the 

signals were transmitted automatically, that is, the clock at the 

eastern station was made to break the circuit of the telegraph line, 

which in turn broke the chronograph circuit at the'western station, 

thus giving a comparison of the time-pieces on the chronograph at the 

western station. Then, by reversing the operation, a comparison was 

secured on the chronograph at the eastern station.

From the data given in the last table therefore the apparent differences of longitude between the field stations and Saint Louis, resulting 

from the signals sent from east to west or from west to east, may now 

be derived. Table V gives these differences, together with the princi-, 

pal quantities on which they depend. The differences of longitude 

from the personal equation work of 1885 are given in Table VI.

(287)
TABLE V. Apparent differences of longitu

[Results for differences from signals received at field 

to

oo 

s2S *~^

Field station.

Oswego, Kans ..........

Elk Falls, Kans ........

Fort Scott, Kans. .......

Springfield, Mo. ........

-

Bolivar, Mo ............

Albuquerque, N. Mex . -

Date.

1884.

August 29

30

31

September 1

2

25

28

October 2

6

17

18

la

22

23

November 13

14

15

16

December 15

18

1885.

July 2

6

7

8

14

15

19

Saint Louis 

clock time of 

signal.

h. m. m s.

9 05 00. 00

9 06 00. 00

8 59 OOrOO

9 00 00. 00

9 02 00. 00

9 25 48.00

8 50 10. 00

9 21 10.00

8 49' 10.00

9 01 05. 00

8 34 05. 00

8 30 23.00

8 44 00.00

8 28 35. 00

8 05 00.00

8 00 00. 00

7 54 20. 00

. 7 53 10. 00

9 25 03.00

8 27 00.00

9 59 30. 00

9 44 13.00

9 36 08.00

9 38 30. 00

9 31 32. 00

9 20 30.00

9 21 30.00

Clock correction.

«.

 49.98

 49.59

 49. 07

 49.21

 48.96

 49.17

 49. 39

 48. 09

 49. r.

 72. 24

 73. 30

 73. 63

 72. 45

 72. 23

 63. 76

 48.82

 48. 88

 48.04

 03. 14

 51. 24

 64. 23

 68. 54

 69. 51

 70. 44

 77. 31

 78. 37

 82. 71

Saint Louis 

mean time of 

signal.

h. in. s.

9 04 10.02

9 05 10. 41

8 58 10.93

8 59 10. 79

9 01 11.04

9 24 58.83

8 49 20.61

9 20 21.91

8 48 20.83

8 59 52.76

8 32 56.70

8 29 09.37

8 42 47. 55

' 8 27 22.77

8 03 56.24

7 59 11.18

7 53 31. 12

7 52 21.96

9 24 59.86

8 26 08.76

9 58 25.77

9 43 04.46

9 34 58. 49

9 37 19.56

9 30 14.69

9 19 11.63

9 20 07.29

Field chronometer time of 

signal.

h. m,. s.

19 19 48.30

19 24 43.46

19 21 37. 47

19 26 32.26

19 32 27.23

21 26 14. 71

21 02 15.65

. 21 49 01.15

21 32 31. 62

22 27 00.60

22 03 49:32

22 04 00. 63

22 29 23.63

22 17 49.45

23 26 11.44

23 25 18. 46

23 23 30.31

23 26 14.43

02 51 20. 66

02 03 55.08

15 38 09.03

15 38 30.80

15 34 19.77

15 40 37.20

15 57 08.22

15 49 59.71

16 06 40.71

.C
WOODWA BD.] APPARENT LONGITUDE DIFFERENCES. 117

.2 g

§ «s 

^ ?

Station west of

Saint Loiiis.

sidereal Fieldsignal. time of

Louis Saint sidereal oftime 

signal.

Chronometer correction.

Field chronom- of time eter

signal. 

Saint Louisof timeean signal.

Clock corrections.

Saint Louisof clocktime 

signal.

1

Q

Field station.

CO CO l> CO CO 

CM CM IM CM CO

c* co CO CD CO CO 

CO CO CO CO CO

 o o o o o tj o o o o o

a to * CM o o>

_ CO CO CM O O

t os a * co in

CO CO ^1 T)- T)1

§ CM CO IM CM CO 

. OS OS OS OS OS

S

o os oo m 

m T* CM *

* co in i> os 

rH rH rH rH CM 

r> CO rH CO OS O

5 >» m TO n- in

^ OS OS CS OS OS

S

CO 00 O H 

to i> o os

* CM o a

s° r

30-*

1 rH rH

,00

o o o o o

o o o o o

°° o o o' cs o 

o o o o o

 T* CM * O tg CM CO IM CO CO

co co a

CM OS 05 CO CO 

rH (M

08 r- in co 06 co"

CM IM CO CO r|l

.i oo CM o CM in

g 0 rH 0 O 0

CO OS t~ ' CO

os m o CM cs

* OS OS OS OS 00 Titn

rH m m os -*

(M m CO CO CM

, * rH in CM O CM

rH rH CM CM CO

SJ OS CO rH CO CO 

S O rH O O O

^ os os os os os

CS O J rH CM 

CM CO CO

SoU I oo <n a rH rj eg

! <l m&

Kans Oswego, ..........

CO * CO 0) 

 * CO U5 tO

S

in in in 

in m m

o o o o 

o o o o

O Tf lO rH

en co m co

C5 11$ CM rH

CM IM CO CO

to co * tCM o in co

(N IN CM CM

CO CO CO 0 

CO OS O in

CD O CO O 

rH CM IM CM

O t~ CO rH

W IM rH O

rH rH CM (M 

CM CM CM IM

o to in os

rH tO Ttl i-t

3 3 =0 3

T 7 " 1

o o o o 

o o o o

o o o o

rH rH rH O 

O I 00 rH

co o m *

CM CM Kl IM

S

m in co 

ro * o

CO TC O> 00 

in rH CM T»l

CO * O ID N in <M o

O CO OS 00

tr- t- CS 1 

r^ CO O rH

OS 03 CO' OS

1"TTT

CM CM Tf O

oo t- in CM

CM CO t> (>

Tft O rH CO

cs m o i CM in co o

OS 00 OS 00

m oo N to

(M (M

r4 

O

' 1 

O

Kans Falls, Elk .......

CO 00 OS 

CO CO IM

o o o

000 

00 CO CO

000

o o o

co eo *

OS IM tO

co to co

O O rH

** O M 

CO O rH

(M IM (M 

IM IM (M

CO tO OS 

-h to' 00

O O rIM C- rH in IM co

CM (M <M 

IM IM (M

(0 CO Ttl 

OS CM (O

CO tD 00

N CM CM

+ + +

o o o 

o o o

o o o

rH rH CM

rH tO O 

CO O rH

CM Cl CM 

CM N CM

rH OS CO

co o trH CM l>

O 1 CM

 * m m 

o co co

os oo co

 rH O CM 

CM CO tO

CM CO CO

m

in os o

00 CO ^K

05 iri rH 

 CM *

in to to 

o co co

OS OO 00

t> oo os

Kans Scott, For ......

co o

CM **

o o

0 O

co oo

o o

0 0

-# rH 

t> rH in cs' 

o in

1 O

IM CM 

CM CM

CM -J

o m

to os 

o m

m oo m o

CM CM 

(M <M

Til H 

I> iH

O 0

CO CO

+ +

o o 

o o

o o 

o m

CO CO

IM (M 

CM (M

in o

CM CM

CO O 

IM CM

C- t- 

 * *

CO CO

in os ^ ~

If

O OS 

t- CO

in CM'

CO CO 

00 CO <* . # 

co co

CM CO 

<M CM

 rH t> t00 to «O

CM CM CM

O O O 

O O 0

oo m in

00 t- *

 » CO CM 

Tj« ITS rH

.CM l> i-H

CO CM CO

CO CO CO 

CM CM CM

CM CM CM

L- Tjl rH

 H* 00 C-i

O rH CO

in o co

T* -* TT 

CM CM IM

(M 10 ift 

T-I CM m

rH rH O

O O 0

1 1 1

o o o 

o o o

o o o

O r-l CM

CO CO rH 

CO CM CO

CM CM CM

§

t- CO 

co to

CO IM OS 

TH O rH

O CM rH

rH 0 0 

00 CO CO

to -j oo

t- OO 00

CO 00 00

ITT

tO 00 rH

m rH m

1-^ rH CO * in o

rH CM CM

rH 0 0

00 00 00

November 13«H "°15

Springfield, Mo. .......

5

os

rH 

CM

O 

O

l» * 

in"

CO 

CM

8

8

3

o J«

«5 

m

0

o

§

o

IM

oo

CM

CO 

CM

os

CM

ft

s

t>

-*

O

co

T

CO 

CO

in 

m 

t-

<o

rH in

cc co

o os TJI -t

CM CM

O O 

0 0

co in * o

IM 1-^

m o

co to m 

CM IM

0 0

CM t> 

CM CO * m

rH CO 

rH IM

CO IM 

0 0

3§

ei tco -*

rH rH 

+ +

O O

o o

o o

CM CM

1- ** 

U3 rH

CM IM 

O 0

CO CO

CO O

g

CM 

CO

0 0

CO CO

as oo

co m rH CM

CO rH

o m 

1 1

eo co

T CM

3 SS

CO CO

os co

December 1518

Mo Bolivar, ............

r> os

CO CO

 riX Tf

in m

Q O

to o

CO. OS

O O 

CM CM

oo m -3< in

m in

t- IM

i~: co

0 0

in o 

to tS2

t^ h-i

O O

?!

O 0

o o

oo co

CM IM

oo in ^ in

m m

m co

CM O

CO OS T* m

oo os 

o m

O OS

CO I CM m

Tf CO IT

CO O

T), tO

f* t^

 * 0

OS rH 

O O

ss

CM CO

irf

oo

00

> 

3t-5

N. MexAlbuquerque, .

oo t- co os in

TJl Tjl CO TJI CO

T* ** &

in in in 

o o o

 * Td

in in 

o o

rH OS OS t- CM

rH tO O rH CO

CO OS -* CO l> 

 <* CN CN CM (M

0 00 rH TC 03 TJI ># o in o 

in in co in eo

os co m in -H -*

CS t> rH

CO rH rH

CO TX t~ Td in o 

to co tflS rH H 

CO CO OS

crs to n 

o o o

e o a> 

1 I 1

0 O 0

o o o

g

co co CO CM

O 00 rH 

Td -S 0

m m co

r-l OS 0 

00 rH OS

t- t- CO

CM rH CO

rH in *)! 

Tt TJI CO

CM in CM in TK co

OS O l> to t> t~ 1 1 1

CO ^l (M 

CO CO CN)

t-^ t-' rH

co CM m 

c.] CD in

Tf TK CO

os os os

t- oo *

CO tto co

CO *

o in

O rH

l> t>

m oo

00 CO

o o

n

o o

0 0

o o

CO CO

in o 

in o

m co

CO CM

 * in

CO CM 

CM CM

os os

t- rH 

CO t*

!!

CM 1 

o os

g a

CHS!

OS OS

m os

(289)
118 LATITUDES AND LONGITUDES. [BULL. 49.

8 ^r .2 -a

o

a <B

'-3 13

5§|d « §!.§

ITPM

CM 

O

.2» ^ 

gS-cl ^ ^2^

«l£l s t< <° >?

w^ £

'S

o 

.So .

§1^1

H^gJq -g-aSS

fl nj «rt ** ;?r£

IN§" §

£2§

g«BK

chronom-vey 

time ofeter signal.

S

Saint Louisof timeean signal.

q

,84.2

11 

Ofc

o 

o

CH 

83 O

Saint Lonclock timesignal.

® 

<s 

P

os. m «

* 0 0 ' C

1 1

(M CO C 

00 CO C

10 co os' c

rH CM <

S

' o m c 10 CN <

. «< to <

TO 00 Cl 

CO 00 C

00 CO CO 0 

ri CN «

« o m c

SO CM T 

 « CO T

CO M C 

C- 00 C

M TO Cl 1 1

00 CO «

m 1-4 ^ 

°»m' -4 o

T)l O Ct

rjO CO C> 

§« <M Tl

,£ * CO t

.8 S S

*os os n

TO CO *

S

' rJ CO IT 

CO 0 rrfj 05 rH °

o m to co tc

°»o o if in io ^

1 1

O O C 

oj=> = «

o o c

g

'lM t> « 

CO 0 irfjOS ,H 0

 

» : :

O O P

0

a

a1-3

s o in os co

O CO CM (M CO

» 

Mill

O 0 0 0

o oo oo Tt eM TO O 00 00

n in t» CM CM

3 in 0 rH IM

 3 CM os * m J- * CM O O

* * in co t>

9 00 TO in rH

n o oo in m

o in CD CM' co'

3 in 0 rn CM

 a CM o * m Ji TT CM O O

f * in co t5 0 0 rH <M 

 1 CM OS OJ 00

> TO CM CM CM

5 oo T* in os

h ITS O t» CO

j in in o o

5 CM TO TH IO

] TO a> <* m H « C-l O O

H * m cs tj CM oo m os

3 TO CO CO in

( O CM CM (M

I TO * * rf

5 CO * OS O 

i rH in CM TO

» O CS O rH

;

00 CM in rH 

CO TO TO »

5 in t- t- t~ ' *-? <* *

1 1 I 1

> o o o o

5 C 0 0 O

5 CO O O O

3 rH TO TO CO

5 t> in 0 rH

H rH O TO CO

S CS OS O rH

1 CM * * *

,0 

&

hett's chronog

'5

ordf Professor I

ec 

 ~

*

s

fc

rH rH 00 CD CS CIM TJ- CM (M CM TO

000000

 ** OO rH IO CS 00 

CM rH 00 O O rH

CO IM CS CM IM CM

CO TO CM rn O TO

O CM OS rH N TO in IM * TO o o 

>* co » m CD tCO t> TO CS O 1 o i- m t- oo oo

CD rH OS' 

TO TO CM rH O TO

CO IM CS -H M TO 

O CM ** TO O O

rt co *)< m co t>

CO CM CS in rH CM t> oo « < os os oo

TO TO TO <M CM CM

O O O O O O 

000000

00 rr CS cs O o 

0 O O -tf TO O

l> TO O -H IM m

in CM m TO o o 

Tf to T* m co t~

CO CM CS O CO O

oo m co m <M CM

o' CM CO l> CM (M

o * o Td « m

OO TO TO CO t> 00 

TO O CM in CM CM

CS rH OS OS O rH

rH ri rH

S

Tf 00 CM in i-l 

00 CO TO TO "*

o o m t> t- tnnn

OS CO t- CM rH ri 

TO TO TO CO CO CO

n CO OS -<H OS CS 

in TO ^J< TO n TO

00 Tt TO h- 00 CS 

TO O CM in CM CM

OS ri OS OS O ri

::::::

0 O CM T»I * *

<V

a

9 1-3

rQ

if

chronog] irvey 

t»

ecord ofGeologies

E 

?,

ft

co CM T* in in oo 

co TO co in * co

o o o o o o 

1 1 1 II 1

 to o o * t- t>

m TO tO IO O CS

CO CO IM O tO O

in o ri T* T* T* 

os oil o in o co

 * CO CM rH T* rl 

CO t- 00 CO CO tco t- in cs <M o

CM o co cs so m

to co CM os m o 

m o <-i co TC -^i

O CM CS in CS CO 

 *»< CO CM rH ** rl

CO t- 00 CO CO t-

'

CM t- o CM n o

I 1 O O n ri ri

o o o o o o

1 1 1 1 1 1

§

co cs co oo c- T»I CD CO rt 0

o <-i r-i * * us

O CM OS in CS TO ' 

m TO CM ri «* n

CO t- 00 CO CO tCM CD 00 OO CM in 

«* CO CM CS O O

§

CM IM OS O O 

o o o o o

oo o t- m o *

CO IM r-1 lO CO lO 

00 O O t> 00 00

oo * CM c-i oo m in co t> o a> os

t- t- C- O O> OS

TTT 11 1

O 0 0 0 0 0

o o o o o o

OS 0 0 0 O O

CO CO TO CO CO CO

OS i-l 00 C- rH in TO CM 1-1 m co in 

oo os o t> oo oo

i iv : i : i

00 i ' 

iH & & CO CO CO

t» 

3l-s

(290)
WOODWARD.] APPARENT LONGITUDE DIFFERENCES 119

o o o o o

I II I I

CO CO Ttl O 00 <M

to t- oo o o ct- .-< oo to

m <o to co

ej «j 06 *

us eo eo IH >di 

to t- oo <o to

CM t^> O W * O

i-l O O rH »-l i-(

l> t t M CO CO

o o o o o o

o o o o o c

§

' » «D «) N O

O rH CO 'H CO

o> en CQ

CO

t- oo to <o c1-t OS O O

t-i 10 oo c06 in t- co m o m m

o t- oo oo

O> * IN ' CO "O 

IO CO l> O Oi OS

00 00 00 ' I I I

O M (M -^ OS t- t- eg in c- o r-i

Itj CO IO CO CO t>

cq cq w w >o o

rr <N c-i o w m

00 O5 O 00 00 OO

Si N W .(M CM

(291)
120 LATITUDES AND LONGITUDES. [BULL.4&

(15) Relations of apparent and true differences of longitude and systematic errors. In order to show the relations of the results in the last 

column of the two preceding tables to the true difference of longitude 

and to the systematic errors which may affect that difference, let 

Te = the eastern clock time of a signal sent to the western

station,

jTw = the western clock time of receiving that signal; 

TJ = the western clock time of a signal sent to the eastern

station,

Tl = the eastern clock time of receiving that signal; 

a?s ,a?w = the total retardations in transmission of a signal 

from the eastern to the western and from the 

western to the eastern station, respectively; 

& ? Vw = the total retardations in transmission of signals from 

the observers to their chronographs at the eastern 

and western stations, respectively; 

Pe ,Pw = th& absolute personal equations of the eastern and

western observers, respectively; 

4te ',4tw ,4te',4tw' = the> apparent clock corrections corresponding to

Te , Tw , T/, iy , respectively ; 

A\ = the true difference of longitude.

Then the clock corrections affected by accidental errors only are, respectively :

Ate -Pe -ye , 

4tw -Pw -yw , 

4te '-Pe -ye , 

AtJ-Pw -yw .

The corrected clock times of sending and receiving signals are, respectively :

Tw'-Atw'+Pw+yw .

Now, from the signals sent from the eastern to the western station,

». * (9)

And from the signals sent from the western to the eastern station,

^+Tw'-Mw'+Pw+yw+xw=Te'-Ate>+Pe+ye . (10) 

For brevity put

J^T.-^.MT.-J*.),

''' ( '
WOODWAKD.] APPROXIMATE RESULTS. 121

Then equations (9) and (10) give

(16) Derivation of longitude differences uncorrected for personal and instrumental equation. The values of A~k^ and A\i are given in the final 

columns of Tables V. These values and their half sums and half differences for the several stations and dates are collected in the following 

table :

TABLE VII. Approximate results for longitude differences and transmission times.

If now we denote by Al the most probable value of £(^A2+JA.]) for 

any station, i. e., the most probable value of the longitude uncorrected

(293)
122 LATITUDES AND LONGITUDES. [BULL. 49.

for personal equation and armature and wave time, we shall have for 

any difference of longitude a series of observation equations of the form

JZ-^JAa+JAj)^. (14)

Denoting the values of Al for the several stations by the suffixes 1, 

2, . . . 6, we get from the last table the following series of observation equations:

Observation equations for the quantities Al.

Station.

Oswego ...................

Elk Falls .................

Fort Scott .................

l V

Springfield ................

Bolivar ....................

Albuquerque. ..............

Date.

1884. 

Aug. 29

30

31

Sept. 1 

Sept. 25

28 

Oct. 2 

6

Oct. 17

18

19

22

23 

Nov 13

14

15

16 

Dec. 15

18 

1885.

July 2 

6

7

8

14

15

19

Equations.

\ 

h. m. s. 

1AZ, 0 19 36.16

1 .13

1 .16

1 .17 

lAZu 0 23 55.34

1 .54 

1 .44 

1 .58

lAZs-0 18 00.32

1 .33

1 .25

1 .24

1 .33 

lAk-0 12 19.79

1 - .61

1 .62

1 - .68 

lAZs-0 12 49.76

1 .62

1AZ6--1 05 47.27 

1 - .32

1 - .40

1 .41

1 .28

1 .40

1 - .. .28

Residual.

s. 

+0.01

-0.03

+0.01

+0.01

0.13 

+O.OG 

-0.03 

, +0. 10

+0.03

+0.04

 0.04

-0.05

+0.04 

+0.11

 0.07

-0.06

-o. on

+0.07

 0.07

 0.07 

 0.02

+0.06

+0.07

-0.05

+0.06

-0.06

Weight.

1

1

1

1

1 

1 

1 

1

1

1

1

1

1 

1

1

0.5

1

0.5

0.5

1

1

1

1

1

1

i

The observation equations in the above table have been given equal 

 weights, with three exceptions.

The equation for November 15, 1884, has been given half weight, for 

the reason that the first time determination at Springfield on that date 

was imperfect, owing to partial cloudiness.

Half weight has been assigned to the equation for December 15,1884, 

because of unusually bad seeing, which was recorded both at Saint 

Louis and at Bolivar. The equation for December 18, 1884, is given 

half weight on account of unfavorable conditions at Bolivar. During 

the afternoon and evening of December 18 the temperature fell rapidly, 

reaching 5° F. about the time of the exchange" of signals. As a result of this change in temperature the inclination of the horizontal axis

(294)
WOODWARD.] PERSONAL EQUATION. 123

of the transit instrument underwent a progressive change of considerable amount. Care was taken to read the striding level for every 

star observed, but the deduced level corrections were less precise than 

usual. The Bond & Sons chronometer used in the chronograph circuit behaved fairly well, apparently, but the Blunt & Nichols chronometer, exposed to a free circulation of the air, froze up and stopped. 

The chronographic record was also somewhat less perfect than usual, 

it being necessary to use a pencil instead of a pen, as the ink for the 

latter froze.

The result for September 2, 1884, in Table VII, has not been used, for 

the reason that the observations at Saint Louis on that-date were made 

by Mr. Eamel, whose personal equation relative to the writer has not 

been determined.

Forming and solving the normal equations, and computing the probable errors, there result 

h. in. s. s.

/M1=0 19 36.155±0.022

JZ2 =0 23 55. 475±0.022

' ^=0 18 00.294± 0.020

A14 =Q 12 19. 683± 0.024

J/5 =0 12 49. 690±0.045

AlQ =l 5 47.337± 0.017

(17) Corrections for personal equation. It remains now to correct the 

results just derived for personal and instrumental equation, or for the 

last three terms of the second member of equation (12).

As already stated in section 12 the observations for personal equation 

in 1884 were all made at Saint Louis, both observers using the same instrument (Professor Pritchett's). This method of determining personal 

equation is not a good one. It is inadequate to determine personal 

equation proper unless the transits habitually used by the observers 

are precisely alike and gives no clue in any case to the magnitude of 

the quantity (ye yw ) of equation (12). However, as the primary object 

of the longitude work of 1884 was the fixation of positions within the 

limits of probable plumb-line defections, the method adopted for determining personal equation was thought sufficient.

Eeferring to pages 84 to 87 of the time work we have the following 

results for relative personal equation, i. e., for Pe-Pw of equation (12):

" 8.

1884. August 12, Pe-Pw = + 0.01,

13, = + 0.05,

December 22, = + 0.16,

i. 23, ' = + 0.23.

These results mean that Pritchett observes the transit of a star later

than Woodward.

(295)
124 LATITUDES AND LONGITUDES. [BULL. 49.

If these were the only data we possess concerning the relative personal and instrumental equation it would probably be best to apply 

the mean of the above results to each of the longitudes ( Al] determined 

in 1884. But the more complete observations made in 1885, when each 

observer used his own transit and apparatus, gave so much greater a 

value for the relative equation 1 that we believe they should have a controlling influence in deriving the correction to be applied to the longitudes of 1884.

The results obtained in the personal equation work of 1885 are given 

in the final column of Table VI. These results are the values of A\v and 

JA2, as defined by equations (11). Pritchett's transit was west of Woodward's 129 inches, or O s.009. On June 10, June 14, July 24, and July 26

1 A considerable part of this apparent change in personal equation is undoubtedly 

due to the fact that the transit key used habitually by me requires much less pressure to break the circuit than Professor Pritchett's key, which was used in the personal equation work of 1884. Through the courtesy of Prof. J. R. Eastman, U. S. 

Navy, who placed his personal equation machine at my disposal, experiments have 

been made to determine my absolute equation both with the small key habitually 

used and with a large key of the same form and about the same stiffness of spring 

as Professor Pritchett's key. The results of these experiment's are given in the table 

below. An individual result is derived from the times of transit over five thread a 

in combination with the times of the immediately succeeding transit in the opposite 

direction over the same threads. The values in the fourth and fifth columns are 

arithmetical means of the individual results in the corresponding horizontal lines, 

and the results in the last column are differences between the means of the results 

in the two preceding columns for the respective dates. The minus sign indicates 

that the observer is late in recording a transit. It may be added that in making 

the observations I was conscious of some difficulty in applying suitable pressure to 

the large key immediately after having observed with the small key. This may account for the tendency shown by the results for May, 1887, to observe earlier with 

the large key directly after using the small key than I did before using the small key.

Results for absolute personal equation.

Date.

1886.

Nov. 23

23

1887.

May 28

28 

28

29

29

29

29

29

29

29

Key.

Large

Small

Large

Small 

Large

Large

Large

Small

Small

Small

Large

Large

Individual results.

«. «. «. s. s. s.

 . 112, . 112, . 106.

 . 088, . 094, . 071, . 059.

 . 130, . 095, . 105, . 100, . 080, . 095.

^. 005, . 035, . 010, . 020, -f. 005, . 040. 

 . 060, . 085, . 030, . b*50, ' . 090.

 . 175, . 130, . 1 10, . 130, . 100, . 105.

 . 110, . 110, . 090, . 090.

 . 015, . 010, . 005, . 035, . 050.

 . 055, . 020, . 040, . 055, . 020.

 . 070, . 030, . 065, . 105.

 . 065, . 075, . 005, . 085, . 055, . 065.

 . 090, . 105, . 115, . 085.

Mean values.

Large 

key (1).

s.

 0.110

 0. 101

 0. 061

 0. 125

 0. 100

'A

 0. 068

 0. 099

Small 

key (2).

g.

-0. 078

 0. 017

 0. 023

 0. 038

 0. 067

Mean.

(D-(2).

s.

 0. 032

 0. 064

 0. 055

(296)
JVOODWARD.] PERSONAL EQUATION. 125

the time-pieces were compared at two or more epochs, so that a result 

for personal equation for either of these dates depends on the epochs of 

comparison for the same date. The values of JAb z/A2, their half sum 

and half difference, together with the dates anil epochs, £, of comparison, are collected in Table VIII.

TABLE VIII. Results of personal equation work of 1.885.

Date.

1885. 

June 10

10

12

14

14

14

July 24

24

24

26

26

20

Local sidereal 

time of comparison t.

h.

14.88

16.40

14.79

15'. 50

16.05

17.06

10. 85

17.55

18.52

10.30

16.80

17.22

AAi

S. 

+0.21

+0.41

+0.28

+0.26

+0.29

+0.37

+0.31

+0.32

+0.32

+0. 52

+0.45

+0.36

AAa

S. 

+0.19

+0.45

+0.30

+0.25

+0.29

+0.3G

+0.33

+0.32

+0.34

+0.55

+0.45

+0.38

J(AAa+AA,)

«.

+0. 200

+0. 430

+0. 290

+0. 235

+0. 290

+0. 365

+0. 320

+0. 320

+0. 330

+0. 535

+0. 450

+0. 370

^(AAr-AAi)

*. 

 0.010

+0. 020

+0.010

 0. 005

+0. 000

-0. 005

+0. 010

+0. 000

+0.010

+0.015

+0. 000

+0. 010

The results given in the fifth column of this table for the dates when 

more than one comparison of time-pieces was made show, with the exception of the results of July 24, that the rates of the time-pieces deduced from the observations differ considerably from their actual rates. 

The discordances must be attributed in part at least to changes in personal equation, and they show clearly the desirability of having more 

than a single comparison of time-pieces on any night in such work. 

The most striking changes are indicated in the results for June 10 and 

July 26. For reasons which will be assigned presently the results for 

June 10 are less trustworthy than those of the other dates; but it may 

be observed that the rate of the Saint Louis clock (see rate for June 

10, Table IV, and comparisons in Table V) is about three times as great 

as would come from the Survey chronometer through the comparisons. 

The results for July 26 are likewise markedly discordant amongst themselves and with the results for other dates; but there is no adequate 

reason for assigning them anything less than full weight. It will be 

remarked, however, that the rate of the Saint Louis clock (see Table 

IV) has a sign opposite to that of its .daily rate from June 12 to July 26 

and to the sign of its rate deduced from the comparisons with the Survey chronometer.1

In order to derive the proper mean value of £(^A2+z/Ai) for the 

dates when two or more clock comparisons were made, we must know

'It is proper to state in this connection that Professor Pritchett has kindly taken 

the trouble to verify our reduction of his observations of July 26.

(297)
126 LATITUDES AND LONGITUDES. [BULL. 49.

the relative weights of the individual values. Beferring to equation (7) 

it will be seen that the adopted correction to either time-piece at any 

time T+tQ' is of the form 

(15)

in which

....

to to

. and T=t t0'.

Assuming the probable errors of 4t0' and 4t0 " equal, the weight of the 

above correction (15) is, if we assign unit weight to a single clock correction,

iv= 1 (16)

This weight applies to the correction for one time-piece only. But since 

any value of £( JA2 -f JAi) involves the difference of two such corrections 

and has a weight proportional to

in which m and n are nearly equal, we may use (16) for computing the 

required weights.

The epochs t0' and tQ" are given in Table IV. Hence we derive the 

following table of weighted mean values, together with the data on, 

which they depend :

Data for iceights and weighted' mean values

Date.

1885.

June 10

10

12

14

14

14

July 24

24

24

26

26

26

V'-«o'

h.

1.7

1.5

1.2

1.1

1.0

T

h.

0.7

2.3

0.6

0.2

0.8

1.8

0.0

0.7

1.6

.0.0

.0.6

1.0

m

0.4

1.4

0.4

0.2

0.7

1.5

0.0

0.6

1.5

0.0

0.6

1.0

V)

1.92

0.47

1.92

1.47

1.72

0.40

1.00

1.92

0.40

1.00

1.92

1.00

Individual 

values.

8.

+0. 200

+0. 430

+0. 290

+0. 255

+0. 290

+0. 365

+0. 320

-f 0. 320

+0. 330

+0. 535

+0. 450

+0. 370

Weighted 

mean 

values.

«.

+0. 245

+0. 290

+0. 284

+0. 321

+0.451

Weights 

of 

means.

2.39

1.92

3.59

3.32

3.92

The mean value 08.245 for June 10 is, for two reasons, entitled to less 

weight than that assigned to it in the above table. In the first place, 

the Survey transit had been mounted during the afternoon of June 10, 

and its foot plates were set in cement only a few minutes before beginning work. On this account the horizontal axis of the instrument

(293)
WOODWAKD.] PERSONAL EQUATION. 127

had a less stable inclination than usual. The amount of the inclination 

was so great at the end of the first time determination that it was adjusted by the foot screws. This adjustment is the cause of the change 

of azimuth shown in the time work. In the second place, Professor 

Pritchett's clock (Howard No. 225) did not seem -to work as well as 

usual. It apparently underwent a sudden change some time between 

the two time determinations. Suspecting its performance was untrustworthy, Professor Pritchett used his other clock (Howard No. 214) in 

the subsequent work. For these reasons we shall diminish the theoretical weight 2.39 of the table to 1.20 in deriving a value for the relative personal equation from the June observations.

Applying the weight just mentioned to the mean for June 10, and the 

tabular weights to the mean values for June 12, June 14, July 24 and 

26, we find,

June 10-14, 1885, 1(^2+^,)= +0.279 with weight 6.71. 

July 24-26, 1885, £(JA2+ JA^+0.391 with weight 7.24.

The weights of these results are so nearly equal that we may assume 

them to be equal for all further purposes.

Keferring now to equation (12) and introducing the above values of 

we have

June 10-14, 1885. 

= JA-0B.391, July 24-26, 1885.

Here zJA=+08.009, as stated above, and as Pritchett was west of 

Woodward for the personal equation work and east of him for the longitude work, the correction for .personal and instrumental equation to 

the longitude is

+09 .270, June 10-14, 1885, 

+08.382, July 24-26, 1885.

These results, like those obtained in 1884, mean that Pritchett observes the transit of a star later than Woodward. The mean of these 

two results is

+0".326±09.038,

the probable error being derived from the discrepancies between the 

individual values and the mean. We shall use this mean value to correct the longitude difference of Saint Louis and Albuquerque, or A16 

in section 16.

Collecting now all the data obtained in 1884 and 1885 for relative 

personal and instrumental equation, taking means of the values for

(299)
128 LATITUDES AND LONGITUDES. [BULL. 49.

August 12 and 13, 1884, and for December 22 and 23, 1884, and assignIng mean dates, we have these results :

August 12.5, 1884, +0S .030, 

December 22.5, 1884, +OM95, 

June 12. , 1885, +03 .270, 

July 25. , 1885, +0S.3S2.

The difference between the results of 1884 or those of 1885 is not 

greater than may be attributed to accidental errors and to changes in 

the relative equation itself. But the considerable discrepancy between 

the results for the two years is probably due to an actual difference in 

Woodward's equation according as he uses his own or Pritchett's apparatus. Assuming this to be the case, let x be the relative equation 

when both observers use Pritchett's apparatus and y the increase in 

the equation when each observer uses his own apparatus. Then the 

above results give the following system of loosely-connected observation equations :

x 

x OM95=«2 , 

 08 .270=fl3 ,

^Giving equal weights to these equations there result

#=+08 .112i08.048,

7/=-fOs.214±08 .06S,

x+y= +0s.326i 08.048.

This value of x+y will be applied to the longitude differences determined in 1884, or Al± . . . A15 of section 16. It is the same as 

the correction derived above for the longitude difference determined 

in 1885, the only effect of the personal equation work of 1884 being to 

increase the probable error.

(18) Transmission times, arrangement of circuits, and instrumental 

equation. The half sum of the transmission times, or the values of 

$(xe -\- xw ) of equation (13), shown in the last column of Table VIII, are 

small, being no larger, in fact, than can be safely attributed to errors 

in the comparison times read from the chronograph sheets and to errors 

in the adopted clock rates. The quantity £(# # ,), which appears in 

equation (12), may therefore be neglected as inappreciable for the personal equation work of 1885.

Th,e half sums of the transmission times for the longitude work, 

given in the last column of Table VII, require for their proper inter-

(300)
WOODWARD.] INSTRUMENTAL EQUATION. 129

pretation certain information as to the arrangement of the electric cir. 

cuits connecting Saint Louis and the several field stations. The routes 

of these circuits and their approximate lengths are as follows:

Saint Louis to Oswego, Kans., via Pierce City, Mo......................miles.. 360

Elk Falls, Kans., via Kansas City, Mo...... ..............do... 479

Fort Scott, Kans., via Sedalia, Mo........................do... 299

Springfield,Mo .................................... ......do... 238

Bolivar, Mo., via Springfield, Mo........ ..................do... 277

Albuquerque, N. Mex., via Kansas City, Mo., and Pueblo, Colo.,

miles .. .................................................... 1,300

For the Oswego work there were repeaters at Saint Louis and at 

Pierce City. For the Elk Falls work there were repeaters at Saint 

Louis and Kansas City. For the Fort Scott, Springfield, and Bolivar 

work there were no repeaters. For the Albuquerque work there was a 

repeater at Pueblo on July 2,14,15, and 19, and a single circuit July

6, 7, and 8.

Taking the means of the half sums of the times contained in Table 

"VII and condensing the information just given we have the following 

table of data pertaining to the transmission times for the several stations :

Transmission times, lengths of circuits, etc.

Field station.

Elk Falls ................

Average value 

of

4(*a+*«>-

S. 

+0. 103

0.094

0.050

0.082

0.072

Number of 

repeaters 

used.

2

o

Approximate 

total length of 

telegraph line.

Miles. 

360

479

9QQ

238

977

1,300

1,300

The times in the second column of this table are considerable, especially for the circuits connecting Saint Louis with Oswego and Elk 

Falls, wherein two repeaters were used, and for the long line from 

Saint Louis to Albuquerque. In all cases these times involved the sums 

of the action times of three relays in addition to the action times of the 

repeaters. If we assume that the transmission time of the electric impulse is inappreciable in comparison with the action times of the relays, 

the above results (dividing them by 5, 5, 3, 3, 3, 4 and 3, respectively) 

indicate for the average action time of a relay (or repeater) intervals 

varying from 08 .012 to 08.024.

The above data embrace all the observational evidence, at present 

available, bearing on the magnitudes of the half differences of the

(301) 

Bull. 49 9
130 LATITUDES AND LONGITUDES. [BULL. 49.

transmission times or the quantities %(xe xw ) which affect the longitude differences.

From this evidence it seems practically certain that %(xe xw) can 

not in any case exceed two or three hundredths of a second, since such 

an amount would require an average difference in the action times of 

the relays concerned in sending and receiving signals as great as the 

total range in the average action times deduced above. For the work 

of 1884 the chronograph and clock relays at Saint Louis differed somewhat from those at the field stations. In 1885 the electric apparatus 

at Saint Louis was a duplicate of that used at Albuquerque, except as 

to the chronograph relay. In the latter year also the common 150-ohm 

main line relays used in 1884 for receiving' signals were replaced by 

high resistance (350-ohm) relays having short hollow cores. The action 

times of these relays is considerably less than the action times of the 

common main line relay; and on account of this fact, together with the 

fact that the electric apparatus of the two observers differed only in 

the chronograph relays, it is thought that the quantity %(xe xw] can 

not be appreciable for the Albuquerque longitude. For the longitudes 

determined in 1884, however, the correction \(xe xw ) may possibly 

amount to a few hundredths of a second, but as we can neither assign 

its magnitude nor sign we must regard it as a source of uncertainty 

and attach to it a suitable probable error. Considering, as above, that 

there is appreciably no probability for an actual error of ± 08 .03 from 

this source we shall be on the safe side in estimating i08 .01 as the corresponding probable error, since it would permit an actual error of 

i08 .05.

(19) Adopted corrections for personal and instrumental equation. 

Adopting dL08.01 as the probable error of %(xe xw] for the work of 

1884, we have finally, from section 17, for the corrections for relative

personal and instrumental equation, or the last three terms of equation

(12), the following values:

For 1884: Pe -Pw+ ye - yw+ $(xe -xw) = 4- 0.8326 ± 08 .049 

For 1885: Pe -Pw+ y- yw+ %(xe - xw) =+ 08 .326 ± C8 .038

(20) Adopted longitudes. Applying these values to the values of Al^ 

given in section 16, we have for the longitudes of the several field stations or piers, relative to the pier at Washington University, Saint 

Louis, these results:

West of Saint Louis.

~h. m. «. *.

Oswego, Kans ............................................. 0 19 36.481 ±0.054

ElkFalls, Kans............................................ 0 23 55.801 ± 0.054

Fort Scott, Kans........................................... 0 18 00.620 =L 0.053

Springfield, Mo ............................................ 0 12 20.009 ± 0,054

Bolivar, Mo...... .......................................... 0 12 50.016 i 0.087

Albuquerque, N. Mex.................... ................... 1 05 47.663 ± 0.042

(302)
WOODWAKD.] DEFINITIVE LONGITUDES. 131

The longitude relative to Greenwich of the transit pier at Saint Louis 

(1881 to 1884, both inclusive) has been determined by the 0". S. Coast 

and Geodetic Survey. The adjusted value of this longitude, given on 

page 423 of the report for 1884 of the Coast and Geodetic Survey, is:

6h 00m 49M63.

Before the longitude of Albuquerque was observed in 1885 the pier 

at Saint Louis was moved 6 feet or 08 .005 west of its former position.

Hence, by addition, we get the following values for the longitudes of 

the several stations relative to Greenwich:

h. m. g.

Oswego, Kans.... ................................................. 6 20 25.644

ElkPall8,Kan8................................................... 6 24 44.964

FortScott, Kans .................................................. 6 18 49.'7S3

Springfield, Mo.................................................... 6 13 09.172

Bolivar, Mo.... ................................................... 6 13 39. If9

Albuquerque, N. Mex.............................................. 7 06 36.831

Probable errors are not assigned to these results, for the reason that 

no probable error is given in the report of the U. S. Coast and Geodetic 

-Survey, referred to above, for the longitude of Saint Louis. If we estimate 1 the probable error of the longitude of Saint Louis to be rtO'.OS 

the probable errors of the above longitudes will vary from i08 .065 for 

Albuquerque to ± 08.084 for Bolivar.

1 Iii the Eeport for 1884 of the Coast and Geodetic Survey, page 427, the probable 

errors of the adjusted longitudes of Washington and Cambridge are given as -Jr06 .042 

and Ij-08 .041, respectively. The probable error of the adjusted longitude of Saint 

Louis must be somewhat greater than these values, though probably not quite so 

much greater as ±QB,Q5.

(303)
132 LATITUDES AND LONGITUDES. 

TABLE OF GEOGRAPHICAL POSITIONS.

[BULL. 49.

(21) Collecting the weighted mean latitudes from Table II, converting the above longitudes from time into arc, and applying the coordinates of points determined geodetically relative to the several 

piers, we have the following tables of geographical positions:

TABLE IX. Geographical positions in Kansas.

Descriptions of points.

Northwest corner of township 33 south, range 21. east, LaSouthwest corner of section 6, township 33 south, range 21 east,

Spire of Methodist church, southwest corner of Second avSpire of Baptist church, southeast corner of Third avenue and

Spire on cupola of court house, northwest corner of Sixth avSpire on cupola of engine house, northwest corner of Sixth

Southeast corner of township 30 south, range 11 east, Elk

Southeast corner section 10, township 31 south, range 11 east,

Southwest corner section 10, township 31 south, range 11 east,

Quarter section corner south side section 10, township 31 south,

Spire Methodist church, northeast corner of Eighth and 

Cherokeo streets, Elk Falls.......... ........................

Astronomical pier, Fort Scott, Bourbon County ................

Spire of Congregational church, northeast corner National avSpire on cupola of Central School, on square hounded hy 

Chestnut street, National avenue, Orange street, and Judson street, Fort Scott ........................................

Southwest corner of township 25 south, range 25 east, Bourbon

Southeast corner of section 31, township 25 south, range 25

Quarter section corner south side section 31, township 25 south,

Latitude.

o / // 

37 09 59.81

37 12 33.38

37 11 41.00

37 10 13.24

37 10 09.45

37 10 09.00

37 09 58.93

37 09 58.80

37 22 03.64

37 23 18.08

37 21 33. 89

37 21 33.83

37 21 33.82

37 22 19.87

37 50 25.76

37 50 15.20

37 50 17.28

37 49 54. 08

37 49 21.14

37 49 13.75

. 37 49 13.79

37 49 13.73

Longitude.

O / II

95 09 26.37

95 06 32.11

95 06 22. 16

95 06 48.64

95 06 24.08

05 06 28.66

96 11 14.46

96 08 32.13

96 10 49.67

96 11 55.21

96 11 23.45

96 11 22.79

94 42 26. 75

94 42 26.91

94 42 28.19

94 42 58.13

94 41 33.04

94 42 48.78

94 41 42.71

94 42 15.84

(304)
WOODWARD.] GEOGRAPHICAL POSITIONS.

TABLE X. Geographical positions in Missouri.

133

Description of points.

Southwest corner of township 30 north, range 21 west, Greene

Quarter section corner on west side of section 1, township 29

Elag staff on water works, North Springfield ..................

Spire on Drury College chapel, on northwest corner of Ben ton

Flag staff on Ozark Hotel, North Springfield ..................

Center of section 13, township 29 north, range 22 west, Greene

Spire of Catholic church, on northwest corner of East Locust

Southwest corner of section 7, township 29 north, range 21

Quarter section corner on south side of section 12, township 33

Pinnacle on cupola of school house on north side of Locust

Southwest corner section 1, township 33 north, range 23 west, 

Polk County. ................................................

Southwest pinnacle on cupola of Southwest Baptist College, on 

square bounded by Maupin, Mill, College, and Clarke streets,

Center of dome of court house on south side of East Main street,

Spire of Methodist church, on east side of North street, Bolivar. . 

Northeast corner of township 33 north, range 23 west, Polk

Latitude.

O ' II

37 13 15.96

37 16 30.65

37 16 14.32

37 14 03.26

37 13 06.66

37 13 51.56

37 13 10. 36

37 13 42:01

37 13 35.95

37 36 35.22

37 36 48.25

37 37 01.87

37 36 47.93

37 36 31.34

37 36 53.38

37 36 58.28 

37 37 38.25

Longitude.

0 .1 II

93 17 17.58

93 17 50.62

93 17 34.33

93 17 35.36

93 17 16.74

93 17 16.69

93 17 08.59

93 17 05.25

93 16 34. 74

93 24 47.68

93 25 31.45

93 24 47.75

93 24 44.95

93 24 44.78

93 24 38.00

93 24 34.33 

93 23 35.02

TABLE XI. Geographical positions in New Mexico.

Description of points.

Section corner common to sections 17, 18, 19, and 20, township

Catholic church cross, on northwest corner of Copper avenue

San Felipe Hotel flag staff, on the southwest corner of Gold

Armijo House flag staff, on southwest corner of Railroad

Grant Block flag staff, on northwest corner of Railroad avenue

Latitude.

O / "

35 04 32.40

35 05 13.26

35 05 09.70

35 04 59.78

35 05 02.25

qc fie AO 10

Longitude.

o / // 

106 39 12.47

106 39 35.66

106 39 23.04

106 39 21.02

106 39 11.64

106 39 11.09

(305)