SMITHSONIAN

CONTRIBUTIONS

to

ASTROPHYSICS

Smithsonian Institution

Astrophysical Observatory

Volume 8, Number 1

Accurate Drag

Determinations for

Eight Artificial Satellites;

Atmospheric Densities

and Temperatures

by Luigi C. Jacchia

and Jack Slowey

Washington, D. C.

Smithsonian

Contributions to Astrophysics

VOLUME 8, NUMBER 1

ACCURATE DRAG DETERMINATIONS

FOR EIGHT ARTIFICIAL SATELLITES;

ATMOSPHERIC DENSITIES AND TEMPERATURES

by LUIGI G. JACCHIA and JACK SLOWEY

SMITHSONIAN INSTITUTION

Washington, D.C.

1963
Publications of the Astrophysical Observatory

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in 1956 to provide a proper communication for the results of research conducted at the Astrophysical Observatory of the Smithsonian Institution.

Its purpose is the "increase and diffusion of knowledge" in the field of

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and the solar system. Its pages are open to a limited number of papers by

other investigators with whom we have common interests.

Another series is Annals of the Astrophysical Observatory. It was started

in 1900 by the Observatory's first director, Samuel P. Langley, and has been

published about every 10 years since that date. These quarto volumes, some

of which are still available, record the history of the Observatory's researches

and activities.

Many technical papers and volumes emanating from the AstrophyBical

Observatory have appeared in the Smithsonian Miscellaneous Collections.

Among these are Smithsonian Physical Tables, Smithsonian Meteorological

Tables, and World Weather Records.

Additional information concerning these publications may be secured from

the Editorial and Publications Division, Smithsonian Institution, Washington, D.C.

FBED L. WHIPPLB, Director,

Astrophysical Observatory,

Smithsonian Institution.

Cambridge, Mass.

For nle by the Superintendent of Documents, U.S. Government Printing Office

Washington 25, DC. • Price 65 cents
Accurate Drag Determinations for Eight Artificial Satellites;

Atmospheric Densities and Temperatures1

By Luigi G. Jacchia2 and Jack Slowey3

The effect of atmospheric drag on the orbits

of artificial satellites continues to be our primary

source of information concerning atmospheric

densities and their variations at heights above

200 km. The drag causes a secular decrease in

the orbital period that can be accurately determined for satellites with perigee heights up to

1000 km or more. From the observed change

in period, the density in the vicinity of perigee

can be derived fairly easily. Unfortunately,

determination of the change in period (acceleration) with high accuracy and high resolution is

a rather laborious task. As a result, very few

really good accelerations have been available in

the past.

We have determined accurate anomalistic accelerations covering intervals up to several years

for eight artificial satellites with perigee heights

between 350 and 750 km. These accelerations

have been corrected for the acceleration caused

by solar-radiation pressure, and atmospheric

densities and temperatures have been derived

from them. These data, together with the per-

• Part of this work was performed under contract with the Geophysics

Research Directorate, U.S. Air Force, Cambridge. The National Aeronautics and Space Administration contributed the major support.

1

 Physicist, Smithsonian Astrophysical Observatory.

* Astronomer, Smithsonian Astrophysical Observatory.

tinent geometric parameters, are given in table

5, at the end of this paper. A detailed explanation and a report of results so far obtained from

analysis of these data are given below.

1. Selection of satellites

The eight satellites and the intervals covered

are listed with other basic information in table 1.

The quantity zT tabulated for each satellite is

the standard perigee height to which all of the

atmospheric densities for that satellite have

been reduced for the purpose of analysis. The

actual perigee heights fluctuate quite rapidly

because of three factors: the geometric effect of

the earth's oblateness; the gravitational perturbations due to the odd harmonics in the

earth's potential; and solar-radiation pressure.

This fluctuation causes density fluctuations that

nre obviously of little interest and that are best

eliminated. This procedure also facilitates the

computation of atmospheric temperatures.

The eight satellites were selected primarily

for their suitability for the study of upperatmosphere variations. Optimum criteria for

this purpose are spherical shape, long lifetime,

well-distributed observations, and a moderately

high orbital eccentricity. Unfortunately, only

Satellite

1958 Alpha (Explorer I)

1960 {1 (Explorer VIII)

1959 Eta (Vanguard III)

1959 al (Vanguard II)

1959 a.2 (Rocket)

1958/31 (Rocket)

1958 02 (Vanguard I)

1961 «1 (Explorer IX)

zx

(km)

355

426

516

563

563

655

658

*

TABLE 1.—Basic data on satellites

Aim

(cm2/g)

0. 170

0. 110

0. 173

0.236

0.252

0.252

0.248

15.84

Eccentricity

0. 14-0. 10

0. 12

0. 19

0. 165

0. 18

0. 21

0. 19

0. 12-0. 11

Interval

1958 Jan. 31-1961 Apr. 1

1960 Nov. 7-1961 May 1

1959 Sept. 21-1961 May 23

1959 Mar. 7-1961 Apr. 1

1959 Mar. 13-1961 Mar. 30

1959 May 18-1961 May 1

1958 May 15-1961 Oct. 10

1961 Feb. 17-1961 Oct. 2

Basic

resolution

(days)

1.0

2.0

2.0

2.5

2. 5

2.5

2. 5

1.0

•Five different standard heights, ranging from 660 to 740 km, were used for 1961 51 (Jacchia and Slowey, 1962)

1
SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

three satellites (Vanguard I, Vanguard II, and

Explorer IX) fulfilled all these conditions. The

selection of nonspherical satellites was dictated

by necessity. It is clear that for an elongated

satellite we must expect to find drag oscillations

caused by the variable area of presentation. In

addition, the correction for solar-radiation pressure is bound to be in error if the tumbling

motion of the satellite body is not sufficiently

well known. The rocket casings of Vanguard I

and Vanguard II were included merely to compare results with those of the spherical payloads.

The other nonspherical satellites were selected

because they were the best available at about

their perigee heights.

A study of the oscillations in the acceleration

of Satellite 1958 Alpha due to variable presentation area has already been published (Jacchia

and Slowey, 1961). For present purposes, we

have sometimes taken mean values of the acceleration for this satellite in order to eliminate

these oscillations. The original accelerations

for Satellite 1958 Alpha are given in table 6 for

the sections in which they have been smoothed.

The determination of accelerations and densities is being continued for all of the satellites in

table 1, with the exception of the two Vanguard

rocket-casings. The additional data, which will

extend to about April 1, 1962, will be published

in the near future.

2. Derivation of accelerations

Atmospheric drag is only one of several perturbing forces acting on an artificial satellite. Perturbing forces also arise from the irregular

shape of the earth, from the pressure of solar

radiation, and from the attraction of the

nearest celestial bodies. All these forces can

cause both short-periodic and long-periodic perturbations, as well as secular perturbations.

In view of the different ways in which the

perturbing forces act on a satellite, their effects

on a specific orbital element bears very little

relation to their relative intensities. This turns

out to be a very fortunate circumstance for the

determination of air drag. The perturbing

forces arising from the departure of the earth's

figure from spherical symmetry are of the order

of 1 dyne, while the atmospheric drag of the

Vanguard I satellite is of the order of 10~* dynes

at perigee height. Yet, the atmospheric drag on

Vanguard I produces a very noticeable secular

decrease in the semimajor axis of the orbit,

while none of the gravitational perturbations

have a secular effect on the semimajor axis and,

therefore, on the anomalistic period. Kozai

(1959a, 1959b) and Brouwer (1959) have shown

that gravitational perturbations, whether

arising from the earth's figure or from the

attraction of the sun and moon, never produce

appreciable long-periodic perturbations upon

the semimajor axis of a close earth satellite.

Thus, if we do not go to time intervals smaller

than one revolution in the analysis of the period

variations, we are left with two contending

effects: atmospheric drag and solar-radiation

pressure.

Solar-radiation pressure affects the orbital

period when the satellite spends part of the

time in the earth's shadow, which is commonly

the case. For a relatively close satellite with

a moderately eccentric orbit (0.1<e<0.2), the

change in period, dP/dt, caused by solar-radiation pressure is of the order of ± 1 x 10~7

 A/m,

where Afm is the area/mass ratio expressed in

cm2/g- By comparison, the atmospheric drag

at intermediate heights gives rise to values of

dVjdt' of the order of — 1 x 109 Ap/m, where p is

the atmospheric density in g/cm3. Thus, when

p is of the order of 10"16 g/cm3, the effect of

solar-radiation pressure may equal that of

atmospheric drag. At times of sunspot maximum, this will occur at a height of 900 km; at

times of low solar activity, however, when the

atmosphere is appreciably contracted, it will

occur as low as 500 km above the earth. If

we want to determine atmospheric drag with

10-percent accuracy or better, we must take

solar-radiation pressure into account whenever

the perigee height of the satellite is greater

than 400 km.

The contribution of solar-radiation pressure

to the acceleration is easily calculated by means

of a suitable computer program. For this

application, the calculation should be based on

on the observed orbital elements rather than on

unconstrained numerical integration from initial

conditions. This will save the trouble of having to deal with the accumulated errors in

geometry growing out of'slight errors in either

the assumed physical parameters or the initial

geometric parameters that might otherwise
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES

occur. We were fortunate to have available

Kozai's program, which is based on his theory

for the effect (Kozai, 1961). This suited our

needs quite well. As was noted in an earlier

paper on the drag of Satellite 1961 61 (Jacchia

and Slowey, 1962), this program gives results

that agree very well with observation. It was

used to compute the anomalistic acceleration

due to solar-radiation pressure for seven of the

satellites in table 1; for 1958 Alpha, the calculation was not necessary. As might have been

expected, the results for the satellite with the

next lowest perigee, 1960 £1, were also essentially negligible in the interval covered.

This was not, of course, the case for the other

six.

The force of solar radiation on a close earth

satellite, assuming a value of the solar constant

of 2.00 cal cm'2 min"1, is 4.65 X 10"* A (cgs),

where A is the effective presentation area. For

a spherical satellite and for specular reflection,

A is the actual presentation area and is constant.

For a nonspherical satellite, however, the

effective presentation area will depend on

the shape of the satellite and the type of

reflection, as well as on the actual presentation

area at the time. Fortunately, the satellites

in table 1 for which radiation pressure is most

important are all spherical. For the nonspherical satellites, we have simply taken the average

cross-section in place of the effective presentation area. The error introduced should be

small. The satellites affected are the two Vanguard rocket-casings, which are not themselves

of primary interest, and Vanguard III (1959

Eta).

The main problem, of course, is the determination of the actual orbital accelerations of the

particular satellite. This we do by accurately

determining the mean anomaly as a function

of time. If M is the mean anomaly, n the

mean motion in revolutions/unit time, and P

the anomalistic period, we clearly have

and

M=n=l/P,

P=-M/M*.

(1)

The secular acceleration P=dP/dt is always

relatively small, of the order of 10~s for low

satellites, and 10~7 to 10~8 for higher ones.

Therefore, M changes very little compared to

M; and over reasonable time intervals, P is

proportional to — M.

To determine M, we represent the mean

anomaly with an approximate analytical function and then determine the residuals from this

function. If we let M(t) be the approximating

function, so that M=M+AM, we will have

If the motion of perigee, which is the origin

of M, is not linear, we correct for this spurious

contribution to the acceleration. The corrected

value Mc of the acceleration will be

where

(3)

is the derivative of M with respect

to the true anomaly v at perigee (M=w=0);

this derivative is a function of the orbital eccentricity e and is given by

The desired value of the secular acceleration

is, finally,

P=dP/dt=-MJAP. (5)

In practice, we begin by obtaining orbital

elements for the satellite computed at intervals

of from one to four days. The orbits that were

used were, with the exception of those for 1958

j82, derived mainly from field-reduced BakerNunn observations having an accuracy of a few

minutes of arc. The observations of 1958 02

were mostly Minitrack observations, which

have about the same accuracy. All the orbits

were computed by the Differential Orbit Improvement (DOI) program of the Smithsonian

Astrophysical Observatory (Veis and Moore,

1960). Since all of these orbits have been or

will be published in separate papers, we do not

give them here. It should be said, however,

that the program computes mean elements in

which the effect of the short-periodic gravitational perturbations Jis removed, but not that

of long-periodic perturbations. Incidentally,
SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

it is also possible to eliminate the short-periodic

perturbations due to atmospheric drag.

Analytic time functions covering intervals of

30 to 120 days are then fitted to each of the

elements by least squares. Care is taken to

avoid leaving systematic residuals in any of the

elements except the mean anomaly. This can

usually be accomplished with a fairly low-order

polynomial and, very often, a sine term to account for the variations due primarily to the

third harmonic in the earth's potential. Systematic residuals of up to 10~8

 revolutions can

be tolerated in the mean anomaly; the fit need

only be sufficiently precise to permit accurate

determination of the semimajor axis from the

first derivative. However, it is usually the

mean anomaly that, because of large fluctuations due to variable atmospheric drag, limits

the interval over which the elements may be

fitted. The fitted elements are given for all

of the satellites in table 4. It will be noticed

that, in adjacent sections, the elements are

often exactly the same except for the mean

anomaly.

After an analytical representation of all the

elements has been obtained, a version of the

DOI program that treats the elements as

known is used to compute, for each observation

of the satellite, a residual in mean anomaly AM.

These residuals are then plotted against time

and a smooth curve is drawn through them.

Ordinates on the curve are read off at equal

time intervals and differenced; from the differences we compute <P(AM)/dP. The secular acceleration is then computed by using equations

(2) to (5).

The accelerations determined in this way appear in the second column of table 5, tabulated

against time, in Modified Julian Days (MJD=

JD—2400000.5), given in the first column.

The accelerations due to radiation pressure and

those attributed only to atmospheric drag appear in columns 3 and 4, respectively, of the

same table.

3. Atmospheric densities

The rate of change dP/dt of the anomalistic

period P of an artificial satellite due to drag in a

rotating atmosphere is very closely given

(Sterne, 1959) by the equation

dP

where

Jo p, (1—e

(l+ecoeE)*»

cos tf)1'

2

X(l-<

d=Pu,(l—e*)1" cos i;

(6)

CD is the drag coefficient; a the semimajor axis

of its orbit; p, the atmospheric density at perigee

height; p the atmospheric density at the height

corresponding to a given value of the independent variable E, the eccentric anomaly; and

«, is the angular velocity of atmospheric rotation. A/m and e have already been defined.

TABLE 2.—Density scale height as a function of t and i>'

H,(km)

z(krn)

300

400

500

600

700

*'-0°

54.5

71.5

93.7

111.0

116.2

*' = 180°

45.4

55.4

66.9

79.5

93. 1

800 122.2 107.2

Relatively simple formulas have been derived by various authors from equation (6),

with the assumption of a density scale height

either constant or linear with height; more complicated formulas take into account the flattening of the atmosphere and the diurnal bulge.

We have preferred to compute p» directly from

equation (6), using numerical integration. For

the variation of p along the orbit, a modified

version of Jacchia's atmospheric model (Jacchia,

1960) was used; the modification concerns the

amplitude of the diurnal bulge which, if extrapolated beyond the height of 700 km (explicitly

labelled in the paper as the upper limit) would

become excessively large. Consequently, equation (10) in Jacchia's 1960 paper was changed to

where

cos« £ (7)

*>(z)=4.6+4 tan"1 [0.005(2-600)],

and i>' is the angular distance from the center

of the bulge. Density scale heights Hp resulting
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES

from this model for ^'=0° and ^' = 180° are

given in table 2 for heights between 300 and

800 km. As can be seen, they are also in substantial agreement with Nicolet's model. For

all of the satellites a lag angle X=30° was assumed for the position of the bulge with respect

to the subsolar point. The factor F20 is, of

course, irrelevant because it is eliminated in

the ratio p prThe densities for each satellite were computed

by using the area/mass ratio given in table 1.

The drag coefficient CD was taken to be 2.2 in

every case. The derived values of log p, are

given in column 5 of table 5. The logarithms

of the densities reduced to standard height are

given in column 6 of the table. The reduction

was made using the same model discussed

above.

4. Atmospheric temperature

Nicolet (1960) has shown that the atmospheric

densities derived from satellites lead to an

atmospheric model in which the temperature

above any given point on the globe is nearly

constant at heights greater than 300 km. For

such heights, then, it would appear that the

temperature is a very convenient parameter to

employ for a general analysis of atmospheric

variations when satellites at different perigee

heights are used. A good atmospheric model

is needed to convert the observed densities to

temperatures; Jacchia (1961b) has shown that

Nicolet's 1961 model (Nicolet, 1961) yields

consistent temperatures in the height interval

between 350 and 700 km and should prove well

suited for such purpose. Consequently, all

atmospheric densities reduced to a standard

perigee height were converted to temperatures

by interpolation of Nicolet's table 12. The

interpolation was made by least-squares fitting

of a fifth-degree polynomial to the 12 asymptotic temperatures in function of log p. All

temperatures discussed in this paper are thus

Nicolet's asymptotic temperatures, which are

identical with the actual perigee-height temperatures except for the lowest satellite, 1958

Alpha, for which there is a small difference

when the temperatures are high (> 1500° K).

The atmospheric temperatures derived for

individual satellites are given in the seventh

column of table 5 and are shown synoptically in

figure 1, together with the 10.7-cm solar flux

and the daily geomagnetic index Ap, with which

they show a close correlation (Jacchia, 1959;

Priester, 1959; Jacchia, 1961a). This figure

does not include the two rocket casings (1958 01

and 1959 a2), for which the temperatures are

shown in figure 2, together with those of the

corresponding instrumented satellites. Figure

3, taken from an earlier paper (Jacchia and

Slowey, 1962), shows the temperature variations

derived from the acceleration of 1961 51, the

12-foot balloon satellite; the variations are

presented on an expanded scale to show details

that may easily be missed in figure 1. Successive passages of the satellite perigee through or

near the diurnal bulge (Jacchia, 1959, 1960)

appear as long-periodic waves in the temperatures of figures 1 and 2.

5. Atmospheric temperature and the solar

flux; semiannual effect

A rough analysis of the nighttime temperatures

T of four satellites used previously (Jacchia,

1961b) yielded a linear correlation with the

10.7-cm solar flux F10, expressed in units of 10"22

watts/m2/cycle/sec bandwidth, in which the

coefficient dT/dFiO=b had the value 3?0. From

an analysis of the temperature variations

derived from 1961 81, we found (Jacchia and

Slowey, 1962) that the characteristic "27-day"

fluctuations were accounted for by b=2? 5 (see

figs. 3 and 4). Subsequent inspection of the

temperature curves in figures 1 and 2 has

revealed that whenever lively temperature

fluctuations in phase with the decimetric flux

were present, they could be corrected to a

relatively smooth curve by applying to the

temperatures a correction —2? 5 AF10, in which

AF10 represents the difference between the

observed and a standard value of the flux (see

figs. 5 and 6).

If we take the atmospheric temperatures

derived from satellites and reduce them all to a

standard flux F10=200 with the formula

r2Oo=7T-2?5(F10-20O), (8)

two important factors emerge (see figs. 7 and 8):

(1) We are left with a systematic decrease of

temperature that parallels the general decrease

of solar activity during the interval covered by
SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

the observations (this is best visible in the

diagram of 1958 Alpha).

The systematic decrease in temperature

could be corrected taking for b(=dT/dFl0) a

value around 4?5 (all satellites; see fig, 10; a

solution for 1958 Alpha alone gives 4?2), but

then the "27-day" oscillations become grossly

over-corrected (see fig. 4). There is some indication that in the daytime atmosphere b

may be a little larger; actually, if we assume

(Jacchia, 1961b) that the temperature at the

center of the diurnal bulge is 1.35 times the

minimum night temperature and that 2?5 is a

mean value, we could have a nighttime 6=2?1

and a maximum daytime b=2°9. This is not

contradicted by the observations.

In any case, we are still far from the value

6=4?5 that is necessary to account for the temperature variations over a 3-year period, and we

have to recognize that there is a discrepancy

between the values of b as determined from oscillations of short period and from oscillations

comparable in period with the solar cycle.

The value 6=3?O obtained earlier by Jacchia

(1961b) turns out, in retrospect, to be the

result of a compromise between the shortperiod and the systematic component.

(2) A semiannual oscillation appears, with

maxima in early April and October. This

feature had been pointed out by Paetzold and

Zschorner (1960), who had called it "plasma

effect," in view of its parallelism with the semiannual variation of geomagnetic activity and

apparent connection with the solar wind.

This semiannual oscillation can be traced with

decreasing amplitude throughout the three

years covered by the observations.

As has been pointed out by Nicolet (1960),

the 20-cm solar-flux data published by the

Heinrich-Hertz Institut in Berlin-Adlershof

showed a drift, presumably of instrumental origin

during the year 1958. From April to December

the drift curve had, by a curious accident, almost exactly the same trend as the semiannual

effect in the earth's atmosphere, with maxima in April and October and a minimum in

July. This explains why some investigators

(Priester, 1960; Jacchia, 1960) obtained better

agreement when they used the 20-cm rather

than the 10.7-cm solar flux in their analyses,

which were based mainly on observations of

the year 1958; their analyses, naturally, failed

to reveal the semiannual effect.

TABLE 3.—Maxima and minima of the diurnal

temperature oscillation

Satellite

1958 Alpha

1958 02

1959 «1

1958 Alpha

1958 Alpha

1959 a\

1959 Eta

1958 Alpha

1958 02

Satellite

1958 Alpha

1958 Alpha

1958 Alpha

1959 at

1958 02

1958 Alpha

1959 al

1959 Eta

(a)

Date

1958. 7

1958. 9

1959. 3

1959. 5

1960. 2

1960. 6

1960. 7

1961.0

1961. 4:

(b)

Date

1958. 3

1959. 1

1959. 9

1960. 0

1960. 2

1960. 6

1961. 3

1961. 4

Maxima (Day)

T'm(°K

1850°

1720

1563

1480

1412

1392

1423

1388

: 1310

) Fio

235

230

215

210

170

160

155

140

120

Minima (Night)

1300°

1217

1150

1110

1105

1085

1030

: 1030

) Tio

235

220

180

170

170

160

115

115

7(°K)

1938

1795

1601

1505

1337

1292

1311

1238

1110

7(°K)

1388°

1267

1100

1048

1030

985

818

818

aw-c

43°

37

29

35

22

39

43

31

--

a.-e

240

246

210

185-

220-

220

6. The diurnal bulge

The erratic ("27-day") fluctuations and the

semiannual effect must be eliminated before

we can obtain a clear picture of the temperature distribution around the diurnal bulge.

Even so, we remain with the systematic component of the temperature variation with the

solar cycle, which may cause a nonindifferent

spurious asymmetry in the temperature profiles of the bulge when the perigee motion with

respect to the sun is slow. Since our primary

aim was the investigation of temperatures in

the bulge and not their detailed profile, we have

not attempted, at this stage, to apply a correction for this third effect.

The "erratic" component was corrected by

means of equation (8). For the semiannual

effect we assumed a sine wave with an amplitude linearly decreasing with time; the finally
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES

M O1

s

08 o

O 'O o

r — K> 2 g

339183d IV 3HniVH3dW3l
8 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

8

8

ro

ro

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O

O

(0°

CVJ

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in

CD

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i

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* * i

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195

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nd

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3 S.
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES

37340 MJD 360

12- FOOT BALLOON SATELUTE (1961 61)

(DAYS)

380 400 420 440 460 480 500 520 540 560 580

"-RAOATION-PRESSURE DRAG

I I

ATMOSPHERIC TEMPERATURE

AT SATELUTE PERIGEE

900°

800«

1961

FIGURE 3.—Atmospheric temperature (°K) from the drag of Satellite 1961 Si from Jacchia and Slowey (1962). The "corrected"

temperature TIM is computed with the formula 2'1oo=7'— 2?5 (/«—100) —1?0 Av. The angular distance f of the perigee

from the diurnal bulge is shown for two lag angles (X=0°, and X = 30°).
1

0

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

s560 540 omg* 460 DAYS I8808360 §s

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DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 11

Atmospheric

Drag

37100 MJD

-10

<io-7

- 8

150 200 250 DAYS 300

1400°

1200

1000°

xlO"

200

600

1400

T200

1200

1000

Temperature

at perigee

1959 7\

10.7-cm flux

v

«*•••

Temperatur e reduced to Fj 0 - 20 0 xl O

c2Z

FIGURE 5.—Satellite 1959 Eta: Atmospheric drag, temperature T (°K), 10.7-cm flux/"10 and temperature 7V» reduced

to a standard flux /",<,=200 by the formula Tm— T—2°5 (Fu> — 200), during a period of lively "27-day" fluctuations.

The variations after correction are mainly due to the passage of the perigee through the diurnal bulge. The perturbation at MJD 37251 corresponds to the magnetic storm of Mar. 13, 1960.
12 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

J

' i f

' "

UJ

b

UJ CO

i

OT

T'2

y

V

1

i

$

^r

>

.•_>••

C

.:••

§

I

1

I

Ia I

8 X
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 13

8

<0

8

I

ro

8

CO

8

I

8

CVJ

00 00

IO JQ

o> to

iJ

E .• *

(O

o

0>

IO

00

IO

0>

CVJ

8

IO

8

eg

8

IO

o

o

IO

c 2

Is

T-s

3 -

=

II

If

« a.

1
14 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

36200

2000*

TMR

1500

1000°

300

2001—

300 400 500 6 0 0 6 00 9 0 0 37000 100 200 300 400

100

1

1958 ot

T* '

— 10.7-cm Solar flux (monthly means)

* * * i E e •»

_ J 1 1

1

i

i T i

•

b-2*5

FIGURE 8.—Satellite 1958 Alpha: Atmospheric temperatures Tjw (see legends of figs. 4, 5 and 6) corrected for the semiannual

effect, compared with the monthly means of the 10.7-cm solar flux.

- 9 0 + 180

T2Oo

1800°

1600

1400

1200

1000

1400

1200

1000

1958 ot

Z*= 355 km

1958.7

1600*

1400

1200

1000*

-

1959 tj

Zx = 5l6km

* *t •

1960.7

I N

-

• — ,

+ 90* 4180*

-

-

-

1959 Otl

Z«'563km

- • \

1959.3

v.

1960.6

* .

-

-

'200

1800*

1600

1400

1200

1000

1400

1200

1000*

1 , . , ,

1958 82

Zw-658km

.y.h

1958.9

1961.4

-

-

1800*

1600

1400

1200

J000

1400

1200

1000*

FIGURES 9a (left) and 9b (right).—The diurnal effect for four satellites. Temperatures T'xo reduced to a standard flux /"w= I

200 using dTldF=2°.S, and corrected for semiannual effect are plotted against the difference in R.A. between the satellite's perigee and the sun. The approximate date of the maximum of the curve is shown on the right.
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 15

corrected temperature T'm was obtained from

the formula

T'2oo= T'200-A(t) cos [1?971 (MJD-36305)], (9)

with

^(f) = 120°-0? 06 (MJD-36400).

An almost identical result could have been

obtained by making the amplitude a linear

function of the smoothed flux Flo; from equation

(9) and a comparison with F,o we find that the

semiamplitude is 120° for F10=230, and 60° for

Fl0=120.

A plot of T'w) against aw—ao, the difference

in right ascension between the satellite perigee

and the sun, is shown in figures 9a and 96 for

four satellites. The maxima and minima of

the curves of these figures are tabulated in

table 3. The last column in the table gives

the "reconverted" temperatures T, obtained

from T^oo by subtracting the correction to

7^0=200 and using a smoothed value Fio of the

flux (T= T200+2°5 Pio). The use of a smoothed

value of .Fio is necessary to match the smoothing

that occurs in obtaining the maxima and minima

from the curves of figure 9. A further cause

of smoothing is the fact that T^o is plotted

against aT—ao, of which—strictly speaking—

it is not a function. If the bulge approaches

rotational symmetry around a vertical axis, the

temperature should be a function of the angular

distance ^' from the center of the bulge. A

two-dimensional mapping of isotherms around

the bulge was attempted, but the material at

hand proved to be insufficient, partly because

of the many variables involved. The mean

value of aT—aQ for the daytime maximum is

35°, in good agreement with previous estimates

(Jacchia, 1960; Priester et at., 1960). The

phase angle for the nighttime minimum is

harder to determine, in view of its flatness.

The mean of the six values in table 3 is 220°,

which differs only 5° from the antibulge meridian; no excessive significance, however, should

be given to this figure. It should also be

remembered that a systematic decrease in

T^oo, such as was mentioned in section 5,

would have the effect of displacing the apparent

minimum toward a later hour of local time;

677-550 O - 63 - 2

the daytime maximum should be much less

affected because of its sharpness.

7. Electromagnetic and corpuscular heating

When we plot the "reconverted" day and night

temperatures of table 3 against the corresponding value of Fio, we obtain the diagram of

figure 10. A smooth curve TN was drawn

through the night temperatures (black symbols). The curve that seems to fit fairly well

the daytime temperatures (open symbols) was

obtained by multiplying the temperatures of

the TN curve by 1.35—the factor obtained in

a previous rough analysis (Jacchia, 1961b).

The scatter in the daytime temperatures is

somewhat larger than in the nighttime temperatures. Part of this may be due to the fact

that, because of the variations in latitude of

the satellite perigee and of the bulge, the

distance from the center of the bulge varies

somewhat from maximum to maximum. As a

consequence of this fact and of the smoothing

that probably occurs in deriving atmospheric

densities from these accelerations, the daytime

maximum is likely to be somewhat underestimated; a value of 1.40 TN appears to be

definitely possible.

The two broken lines in figure 10 correspond

to b(=dT/dF10)=2°5 and 5?0, respectively.

There seems to be little doubt that the relation

between the nighttime temperatures and F10

is not quite linear. The average slope of the

curve is 4?5, or 2?0 larger than the value of b

that accounts for the "27-day" fluctuations.

The presence of a well-developed diurnal

bulge with the base at 200 km, with a maximum

temperature 35 percent higher than at night

and occurring at 2 p.m. local time cannot be

explained except by conduction of heat generated by the absorption of electromagnetic radiation

from the sun. The height of the absorption

layer points to extreme ultraviolet radiation

(Hinteregger, 1961), while the stability of

the wave and the magnitude of the temperature excursion indicate that this mechanism

must be a dominant source of heat.

It is generally assumed that the decimetric

solar flux is of thermal origin and should show

a good correlation with the extreme-ultraviolet

solar radiation absorbed in the upper atmosphere. The recent finding by Ward and Shapiro
16 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

500" I ^

FIGURE 10.—Maxima and minima of the diurnal temperature

oscillation for four satellites plotted against the 10.7-cm

solar flux. The broken lines correspond to dT/dFio=2'!5

and 5?0, respectively. The temperatures (°K) were derived from the values of Tjoo ' n

 figure 9 by reconversion

with the formula f— r2'oo+2?5 Fio, where F10 is the

smoothed value of /"io that appears in table 3.

(1962) that the correlation between /^o and the

Greenwich sunspot areas is almost unity

greatly strengthens this surmise. The fact

that the coefficient b appears to be constant

at around 2?5 for short-period oscillations would

indicate that the correlation between Fi0 and

the extreme ultraviolet flux from the sun

should not depart too much from linearity.

The discrepancy between the value of b for

short-period and long-period oscillations would

then point to a supplementary source of heat,

different from the ultraviolet flux that is

correlated with ~F10, and variable with the

general level of solar activity. Since the

semiannual effect can hardly be explained in

terms other than corpuscular heating, it seems

natural to identify the supplementary source

of heat with corpuscular radiation. The systematic decrease of temperature that is not

accounted for by the factor 6=2?5, and the

semiannual effect with its decreasing amplitude

during the years 1958-1961 are apparently two

aspects of the same phenomenon—the interaction of the upper atmosphere with particles

originating in a solar wind. The intensity of

the solar wind apparently varies concurrently

with sunspot activity, but its effect on the

atmosphere is greatly smoothed out with respect

to day-to-day sunspot variation; this may

reflect either a more uniform corpuscular emission or a smoothing action through retention

of particles in the magnetosphere.

The semiannual temperature variation in the

atmosphere is in phase with the semiannual

variations of several geomagnetic indices (C«

from Bartels, 1932, and Shapiro and Ward,

1960; u from Priester and Cattani, 1962; Kp

from Bell and Glazer, 1958); a discussion of the

theories of the effect appears in Priester and

Cattani. None of these indices shows a marked

variation in the mean level with the solar cycle,

but this may be due to the nature of the correlation between the index and the corpuscular

flux and does not constitute a disproof of the

variation of the flux with the solar cycle.

That such a situation is possible is shown by

the correlations between the geomagnetic index

Ap and the atmospheric temperature. Values

of dT/dAp of 1?5 and l?0 have been found in

previous papers (Jacchia, 1961b, Jacchia and

Slowey, 1962). An inspection of the several

perturbations recorded in figure 1 generally confirms a value of this order of magnitude. Individual discrepancies should not be taken too

seriously in view of the extreme difficulty of deriving significant satellite accelerations with a

high degree of resolution. Also, it should be remembered that the interval over which the

geomagnetic index is averaged should exactly

match the resolution of the drag determination;

this is definitely not the case of the data in

figure 1, where the daily index Ap is plotted,

while temperatures during magnetic storms are

computed from drag with a resolution of a

fraction of a day.

From Satellite 1961 61 we found (Jacchia and

Slowey, 1962) that during moderately active

days the atmospheric temperature variations

could be accounted for by AT=-\-l°0Ap.

Now the index Ap, which is an exponential

function of Kp, also displays the semiannual

variations. The average range in the monthly

means of Ap is from 13 to 21. This would

correspond to a range of only 8° in the temperature, while the observed range of the semiannual effect is of the order of 100° to 250°.

Clearly, this index measures the degree of

magnetic disturbance caused by the corpuscular
DRAG DETERMINATIONS TOR ARTIFICIAL SATELLITES 17

flux, but not the corpuscular flux itself. This

seems to be the case of all geomagnetic indices.

From both the magnitude of the semiannual

temperature oscillations and the systematic

temperature variations with the solar cycle

after corrections for the "27-day" component,

it would appear that the contribution of corpuscular radiation to the heating of the upper

atmosphere is quite considerable—perhaps as

high as 30 percent or more.

Acknowledgments

A portion of the work on the accelerations of

1958 01 and 1959 a 2 was done by the Cambridge

Space Systems Group of the Federal Systems

Division of IBM under contract to the Smithsonian Astrophysical Observatory. Mrs. Helene

Cornelius and Mrs. Mary M. Thorndike provided assistance in much of the numerical work.

References

BARTEI.S, J.

1932. Terrestrial-magnetic activity and its relations to solar phenomena. Terrestrial

Magnetism and Atmospheric Elec, vol.

37, p. 1.

BELL, B., AND GLAZER, H.

1958. Sunspots and geomagnetism. Smithsonian

Contr. Astrophys., vol. 2, no. 8.

BROTJWEB, D.

1959. Solution of the problem of artificial satellite

theory without drag. Astron. Journ.,

vol. 64, p. 378.

CIBA

1961. COSPAR International Reference Atmosphere 1961, compiled by H. KallmannBijl, R. L. F. Boyd, H. Lagow, S. M.

Poloskov and W. Priester, Amsterdam.

HlNTEREGGER, H . E.

1961. Preliminary data on solar extreme ultraviolet radiation in the upper atmosphere.

Journ. Geophys. Res., vol. 66, p. 2367.

JACCHIA, L. G.

1959. Solar effects on the acceleration of artificial

satellites. Smithsonian Astrophys. Obs.

Special Report 29, 18 pp.

1960. A variable atmospheric-density model from

satellite accelerations. Journ. Geophys.

Res., vol. 65, p. 2775.

1961a. Satellite drag during the events of November 1960. Space Research II, Proceedings of the Second International Space

Science Symposium, Florence, April 10-

14, 1961, Amsterdam.

1961b. A working model for the upper atmosphere.

Nature, vol. 192, p. 1147.

JACCHIA, L. G., AND SLOWET, J.

1961. Short-periodic oscillations in the drag of

Satellite 1958 Alpha. Smithsonian Astrophys. Obs. Special Report 77, 11 pp.

1962. Preliminary analysis of the atmospheric

drag of the twelve-foot balloon satellite

(196151). Smithsonian Astrophys. Obs.

Special Report 84, 18 pp.

KOZAI, Y.

1959a. The motion of a close earth satellite.

Astron. Journ., vol. 64, p. 367.

1959b. On the effects of the sun and moon upon

the motion of a close earth satellite.

Smithsonian Astrophys. Obs. Special Report 22, p. 7.

1961. Effects of solar radiation pressure on the

motion of a close earth satellite. Smithsonian Astrophys. Obs. Special Report

56, p. 25.

NICOLET, M.

1960. Les variations de la density et du transport

de chaleur par conduction dans l'atmosphere supe'rieure. Space Research, ed.,

H. Kallmann-Bijl, Amsterdam.

1961. Density of the heterosphere related to

temperature. Smithsonian Astrophys.

Obs. Special Report 75, 30 pp.

PAETZOLD, H. K., AND ZSCHORNER, H.

1960. Bearings of Sputnik III and the variable

acceleration of satellites. Space Research, ed., H. Kallmann-Bijl, Amsterdam.

PRIESTER, W., MARTIN, H. A., AND KRAMP, K.

1960. Diurnal and seasonal density variations in

the upper atmosphere. Nature, vol. 188,

p. 202.

PRIESTER, W., AND CATTANI, D.

1962. On the semi-annual variation of geomagnetic activity and its relation to the solar

corpuscular radiation. Journ. Atmosph.

Science, vol. 19, p. 121, 1962.

SHAPIRO, R., AND WARD, F. W., Jr.

1960. Daily normals of the international magnetic

character figure, Ci. Journ. Geophys.

Res., vol. 65, p. 115.

STEBNE, T. E.

1959. Effect of the rotation of a planetary

atmosphere upon the orbit of a close

satellite. Journ. Amer. Rocket Soc,

vol. 29, p. 777.

VEIS, G., AND MOORE, C. E.

1960. The Smithsonian Astrophysical Observatory differential orbit improvement program. Seminar Proceedings, Tracking

Programs and Orbit Determinations, Jet

Propulsion Laboratory.

WARD, F., AND SHAPIRO, R.

1962. Decomposition and comparison of time

series of indices of solar activity. Journ.

Geophys. Res., vol. 67, p. 541.
1 8 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. •

Abstract

Accurate accelerations during the years 1958-1961 are given for eight artificial satellites in eccentric orbits and

with perigee heights between 350 and 750 km. These accelerations are obtained mainly from field-reduced BakerNunn observations and are corrected for the effect of solar-radiation pressure. Atmospheric densities at perigee

are derived by mumerical integration of the drag equation for a rotating atmosphere by using a model atmosphere

with diurnal bulge and taking account of the earth's oblateness. Atmospheric temperatures are derived from Nicolet's

helium-topped, diffusion-equilibrium model with asymptotically isothermal temperature profiles (Nicolet, 1961). A

preliminary analysis of these data leads to the following conclusions:

Nicolet's 1961 atmospheric model yields consistent atmospheric temperatures at all heights. The temperature

at the center of the diurnal bulge is 35 to 40 percent higher than the minimum night temperature; the lag angle between the bulge and the subsolar point is about 35°.

Paetzold's semiannual effect is confirmed; it can be traced with decreasing amplitude throughout the three years

covered by the observations.

The erratic ("27-day") density oscillations correspond to temperature oscillations AT=2?5 AFW where AFW is

the corresponding variation in the 10.7-cm solar flux. During magnetically disturbed days the atmospheric temperature is increased by an amount AT«1° • Av to 1?5 Ap where Av is the daily geomagnetic planetary index.

When the daily atmospheric temperatures are corrected to a standard solar flux with the relation AT=2.5 AFio,

there remains a systematic temperature decrease that roughly parallels the smoothed values of the decimetric solar

flux or of the Wolf numbers. This effect could be minimized assuming that A7'/A^'io=4.5 instead of 2.5, but then the

erratic fluctuation becomes overcorrected.

It is suggested that the systematic temperature decrease and the semiannual effect have a single underlying

cause—corpuscular radiation, whose flux varies with the 11-year solar cycle. It appears that the corpuscular component in the heating of the upper atmospher is quite considerable.
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 1 9

TABLE 4.—Least-squares fitting of orbital elements

Satellite 1958 Alpha (Explorer I)

Section 1: MJD 36234 to 36320 (January 31 to April 27, 1958)

T • 36240.0

o

w= 151208 + 6°29510t + 5X)49766t2 - »00155826t3 + U98110 x 10" t - ?85450 x 10 t

Q= 322«62 - 4°22351t - ?0O0642Ot2 + ?2865 x 10~5t

3

i =» 33?229 + ?003238t - ?00016795t2 + °25339 x 10"5t

3

 - ?11388 x 10" t

e - .13956 - .2375 x lO^t - .1582 x lO^t 2 + .000433 sin (143.8 + 6.35t)

M » .60472 + 12.5332241 + ,OOO23U64t2 + .263064 x 10"5t - .101403 x 10" t

Section 2s MJD 36300 to 36350 (April 7 to May 27, 1958)

T = 36300.0

o

U)= 17K09 + 6?36016t + ?0017805t2 + ?9724 x 10'5t

3

 - '142542 x 10~5t

4

 + ?157332 x 10"7t

5

fi = 67?55 - 4?26400t - ?0006170t2 + ?3457 x 10"V

i = 33?229 - »03133t + ?00047432t2 -° 169582 x 10"4t

3

 + »175253 x 10"6t

4

e • .13848 - .00016011t + .24094 x lO' V + .000525 sin (236.4 + 6.4Ot)

M • .86317 + 12.5828621 + .000289486t2 + .522324 x lO' V - .547409 x lO' V

Section 3: MJD 36330 to 36390 (May 7 to July 6, 1958)

TQ = 36330.0

<!)= 3?80 + 6°39652t + °0004396t2 + °. 25 x 10' V + °. 160 sin(84.0 + 6.4t)

0 = 299U7 - 4?29191t - °0002113t2 - "432 x lO' V

i = 33?230 + ?008 sin (126.0 + 6.0t)

e = .13630 - .335 x 10"4t - .75 x 10~7t

2

 + .0004 sin (0.0 + 6.45t)

M = .7058 + 12.6O9871t + .0003717t2

Section 4: MJD 36370 to 36410 (June 16 to July 26, 1958)

TQ = 36330.0

UU= 3°80 + 6.°39652t + ?0004396t2 + °25 x lO' V + °160 sin (84.0 + 6.4t)

fie 299?17 - 4?29191t - ?0002113t2 - 2432 x 10"6t

3

i = 33° 230 + 2008 sin (126.0 + 6.0t)

e = .13630 - .335 x lo A - .75 x 10"7t

2

 V .U004 sin (0.0 + 6.45t)

M a .9008 + 12.60212U + .0O04467t2
20 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1958 Alpha

Section 5: MJD 36390 to 36460 (July 6 to September 14, 1958)

T = 36390.0

o

UU= 29?35 + 6°43856t + "000920 2t2 - °3604 x 10~V + ?140 sin (106. 2-»-6.5Ot)

0 = 40°83 - 4?32572t - ?OOO1334t2 - ?2484 x 10"V

i = 33S247 - ?005751t + »OOO3O287t2 - "56559 x 10~V + ?36O6O x lo" V

e = .13403 + .7959 x 10"4t - .96965 x 10"V + .222461 x lO' V - .158162 x lO' V

M • .63816 + 12.655251t + .OOO49238CH - .168809 r 10"V -t- 285354 x 10~V

Section 6: MJD 36440 to 36500 (August 25 to October 24, 1958)

T = 36440.0

o

U> = 352»98 + 6«56021t - °OO22617t2 + "37249 x lO^t 3 + "280 sin (130.6 + 6.55t)

Q= 183?92 - 4°35798t - »OO05914t2 + 21207 x 10"V

i = 33°235 + ?000761t - ?474 x 10~5t - ^5103 x lO"6^ + S5919 x 10"8t

4

e = .13173 - -84 x 10'5t - .2169 x 10"5t

2

 - .1827 x 10"V + .7342 x 10"9t

4

M = .59703 + 12.705364 + ,OO079263Ot2 + .65682 x 10"V - .171130 x 10"V

Section 7: MJD 36480 to 36620 (October 4, 1958 to February 21, 1959)

T a 36480.0

o

U)= 254?33 + 6°56O13t + SOOO8934t2 - 5164 x 10"5t

3

 + »250 sin (0.0 + 6.60t)

Q= 8t75 - 4«40128t - «0004806t2 + .587 x 10"V

i = 33?225 + °00193t - 5444 x 10"4!

2

 + »281 x lO^t 3 - °.4O x 10"V

e = .12956 - .610 x lO^t + .113 x loA 2 + .000799 sin (213.8 + 6.65t)

M = .07420 + 12.767218t + .000787236t2 - .223147 x 10~5t

3

 + .48193 x 10~8t

4

Section 8: MJD 36600 to 36700 (February i to May 12, 1959)

T = 36602.0

o

(JU = 344?91 + 6°70008t + 1?00O4664t2 + ° 250 sin (65. 6 + 6. 75t)

f) a 185°72 - 4?49884t + ?OOO1513t2 - «6989 x 10' V + S3273 x 10~7t

4

i = 332232 - ?OO2392t + »0O026893t2 - °85162 x 10"5t

3

 + U01011 x lO^t 4 - "40217 x 10"9t

5

e = .12356 - .2448 x lO"4! - .1497 x 10"V + .000538 sin (350.4 + 6.75t)

M = .40121 + 12.896146t + .000344358t2 + .8606 x 10~7t

3

 + .54123 x 10"V
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 2 1

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1958 Alpha

Section 9: MJD 36690 to 36790 (May 2 to August 10, 1959)

T = 36690.0

o

U)= 218U8 + 6»76505t + •0011596t2 - "3664 x lO^t 3 + • 258 sin(321.6 + 6.80t)

n - 148?19 - 4?54112t - ?0006070t2 + ?2618 x 10"V - S1104 x 10"V

i • 33? 236 + °002482t - S0002099U2 + '53426 x 10"V - ?56439 x 10"V + ?21779 x 10"9t

5

e =» .12001 - .393 x lO^t - .84 x 10"7t

2

 + .000433 sin(218.2 + 6.80t)

M • .31745 + 12.972776t + .00O594211t2 - .74597 lO"6^ + .25766 x lO' V

Section 10: MJD 36780 to 36880 (July 31 to November 8, 1959)

T - 36780.0

o

U) = 113?62 + 6!90412t + ;0001582t2 + °.1694 x 10~5t

3

 + ?236 sin(221.8 + 6.90t)

Q = 95°.76 - 4»61763t - »OO02528t2 - »877 x lO^t 3 + S665 x 10 " V

i • 33°236 + ?00285t - ?0001901t2 + ?3671 x 10"5t

3

 - S2614 x 10"V + ?534 x 10"10t

5

e = .11578 - .416 x lO^t + .1614 x lO^t 2 + .000408 sin (84.9 + 6.90t)

M = .30816 + 13.06487t + .OO0421851t2 + .2845 x 10"7t

3

 - .32381 x 10"8t

4

Section 11: MJD 36870 to 36960 (October 29, 1959 to January 27, 1960)

T • 36870.0

o

ID - 17S32 + 6°.9862t - ?0002420t2 + ?4189 x 10~5t

3

 + S283 sin(73.2 + 7.00t)

f2 = 37?92 - 4?66176t - ?000247t2 - S4758 x lO^t 3 + ?5219 x 10"V

i = 33? 226 - ?002066t + «00013746t2 - ?39438 x 10~5t

3

 + "53225 x 10~7t

4

 - • 26398 x

e = .11313 - .257 x 10"*t + .54 x 10"8t

2

 + .000615 sin (13.3 + 7.00t)

M • .69645 + 13.135149t + ,000340546t2 - .101526 x 10"V + .7283 x 10"V

Section 12: MJD 36950 to 37050 (January 17 to April 26, 1960)

T = 36950.0

o

OJ a 216?72 + 7M1864t + °0006469t2 - ?969 x lO^t 3 + U95 sin (292.7 + 7.00t)

fi= 23?26 - 4°70319t - °0004719t2 + °.32O0 x 10" t 3 - ?1966 x 10~ t

i = 33°.235 - °.001317t - ?8425 x lO^t 2 + °46855 x lO' V - ?66338 x 10"7t* + *28955 x 10"9t

5

e m .11088 - .356 x 10"*t - .72 x 10' V + .000396 sin (225.1 + 7.00t)

M =» .46466 + 13.184133t + .O0O53197Ot2 - .145739 x lO' V + .96676 x lO"8^
2 2 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1958 Alpha

Section 13: MJD 37040 to 37080 (April 16 to May 26, 1960)

T =» 37040.0

o

UU» 132582 + 75130961 + 5OOO2731t2 + 5306 sin (220.7 + 7.101)

ft- 317509 - 4575707t - 50010212t2 + 514185 x 10"V - 58054 x lO' V

i =* 335 225 - 5OOO866t + 52237 x 10~V - 51808 x 10"V

e =» .10756 - .827 x lO^t + .925 x 10' V + .000802 sin (172.9 + 7.10t)

M • .92460 + 13.272977t + .O0O60704t2 - .724944 x 10"V + .640250 x 10"V

Section 14: MJD 37070 to 37110 (May 16 to June 25, 1960)

T - 37040.0

o

U>= 132582 + 7513O96t + tO0O2731t2 + 5306 sin(220.7 + 7. lOt)

0 • 317509 - 4575707t - 50O10212t2 + 514185 x lO' V - 58054 x lO' V

1 = 33?225 - ?000866t + ?2237 x lO^t 2 - ?1808 x lO"6^

e = .10756 - .827 x 10~*t + .925 x lO' V + .000802 sin (172.9 + 7.10t)

M = .88592 + 13.27870U + .OOO285528t2 + .73403 x lO' V - .89250 x l

Section 15: MJD 37100 to 37150 (June 15 to August 4, I960)

T = 37100.0

o

(1) m 201°.53 + 7U7009t + !0O01803t2 + '.345 sin (295.8 + 7.14t)

n = 30°04 - 4«8O282t - ?318 x 10^t 2 - ?1530 x lO' V + ?683 x 10"8t

4

i = 33".225 - 2OO1153t + 52275 x 10"V - ?1212 x lO^t 3

e = .10571 - .231 x 10"*t + .12 x 10"7t

2

 + .000730 sin (183.5 + 7.14t)

M = .67936 + 13.313844t + .O00105937t2 + .350594 x 10' V - .37232 x 10' V

Section 16: MJD 37140 to 37200 (July 25 to September 23, 1960)

T = 37100.0

o

U)= 201553 + 7?17009t + »OOO18O3t2 + 5345 sin (295.8 + 7.14t)

0 = 30504 -458O282t - 5318 x 10 " V - 51530 x 10 " V + 5683 x 10"8t

4

1 = 335 225 - 5OOU53t + 5 2275 x lO' V - 51212 x lO^t 3

e m .10571 - .231 x lO^t + .12 x 10"V + .000730 sin (183.5 + 7.14t)

M = .56186 + 13.319318t + .OOO1264O3t2 - .28692 x 10~V + .54314 x 10~V
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 23

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1958 Alpha

Section 17: MJD 37190 to 37264 (September 13 to November 26, 1960)

T = 37190.0

o

CD = 128»30 + 7«19891t + °0005327t2 + ?302 sin(222.2 + 7.15t)

0 = 316S88 - 4«82576t - ?0002680t2 - "904 x lO^t 3 + ?585 x lO' V

i = 33S219 - ?94 x 10"5t - °1479 x 10~V + 22177 x 10~V

e = .10400 - .357 x lO^t - .41 x 10~7t

2

 + .000517 sin (137.4 + 7.15t)

M • .46964 + 13.35144Ot + .000290359t2 + .110290 x 10"V - .3992 x 10"V

Section 18: MJD 37250 to 37294 (November 12 to December 26, 1960)

T = 37250.0

o

(Da 2O2?OO + 7°27135t + S0O03765t2 + ?214 sin (312.7 + 7.25t)

0 = 26°25 - 4?86242t - ?0003337t2 - ?2417 x 10"V + ?3443 x lo' V

i • 33?212 + »0079 sin(6.4 + 7.25t)

e = .10160 - .352 x lO^t - .22 x 10~8t

2

 + .000438 sin (200.1 + 7.25t)

M = .82983 + 13.400477t + .OOO2O5761t2 + .934307 x 10~5t

3

 - .1058704 x 10~V

Section 19: MJD 37284 to 37330 (December 16, 1960 to January 31, 1961)

T = 37250.0

o

ID = 202°00 + 7«27135t + ?0003765t2 + ?214 sin(312.7 + 7.25t)

0 = 26?25 - 4?86242t - ?0O03337t2 - "2417 x 10"5t

3

 + ?3443 x 10"7t

4

1 = 33»212 + »0079sin(6.4 + 7.25t)

e = .10160 - .352 x lO^t - .22 x 10"8t

2

 + .000438 sin (200.1 + 7.25t)

M = .85199 + 13.395097t + .000612354t2 - .215150 x 10"V + .21260 x

Section 20: MJD 37320 to 37360 (January 21 to March 2, 1961)

T = 37300.0

o

U)= 2O6?81 + 7»27762t + ?0012135t2 - °.7454 x 10"5t

3

 + "264 sin (292.2 + 7.35t)

Q= 142»13 - 4?87890t - ?O0O9391t2 + ?11918 x 10^t 3 - ?5980 x 10"7t

4

i = 33?208 + ?0046 sin (313.9 + 7.35t)

e = .09951 - .34 x 10 ~

5

t - . 145 x 10

M = .83496 + 13.448332t - .8233 x 10~5t

2

 + .420221 x 10~5t

3

 - .320953 x 10"7t

4

e = .09951 - .34 x 10"5t - .145 x lO^t 2 + .000451 sin (200.9 + 7.35t)
2 4 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1958 Alpha

Section 21: MJD 37350 to 37390 (Febmary 20 to April 1, 1961)

T = 37300.0

o

UJ = 206581 + 7527762t + 5OO12135t2 - 57454 x 10"5t

3

 + 5264 sin (292. 2 + 7.35t)

fl = 142° 13 - 4587890t - 5OOO9391t2 + 511918 x 10"V - S5980 x 10~7t

4

i = 335208 + 50046 sin(313.9 + 7.35t)

e = .09951 - .34 x 10~5t - . 145 x 10~6t

2

 + .000451 sin (200.9 + 7.35t)

M = .85067 + 13.443176t + .0O028O796t - .158737 x 10" t + .68249 x 10 t

Satellite 1958 01 (Vanguard I Rocket)

Section 1: MJD 36706 to 36784 (May 18 to August 4, 1959)

T = 36706.0

o

U)= 95565 + 4515287t - 5499 x 10~V + 5140 sin (155.4 + 4.148t)

Q • 24520 - 25840t - °0O0149Ot2 + 53806 x 10~5t

3

 - 5275 x 10"7t

4

i = 345 267 - 5001065t + 50001064t2 - 53040 x 10"V + 534497 x 10"V - 51414 x 10~9t

5

e = .20721 - .1191 x 10~*t + .178 x 10"V + .000336 sin (81.9 + 4.15t)

M = .97950 + 10.39753U + .88149 x 1O"V

Section 2: MJD 36766 to 36844 (July 27 to October 3, iyt»y)

TQ = 36766.0

UJ = 344?58 + 4»15441t - ?588 x lO"4!

2

 + ?181 sin (82.8 + 4.15t)

Ci= 213?73 - 2«84565t + ?OOO2O82t2 - 24163 x 10"5t

3

 + 22524 x 10"7t

4

i = 34?268 - ?001260t + 56050 x 10 t - 51105 x 10"5t

3

 + 51114 x 10"7t

4

 - 5506 x 10~10t

5

e = .20677 + .2339 x 10"4t - .264 x lO^t 2 + .000449 sin (14.8 + 4.15t)

M = .86303 + 10.39857t + .9822 x lO~5t

2

Section 3: MJD 36826 to 36904 (September 15 to December 2, 1959)

T = 36826.0

o

U = 233567 + 4513987t + 5OO01733t2 + 5213 sin(329.0 + 4.15t)

0 = 43516 - 2584167t + 5^05 x lO"4^ - 52187 x 10~ t 3 + 52365 x 10" t 4

i = 345270 + 5002999t - 5OO0246Ot2 + 5746 x 10"5t

3

 - 51035 x 10"V* + 5533 x 10"9t

5

e = .20681 + .4426 x 10"4t - .681 X 10"V + .000719 sin (179.2 +4.15t)

M = .81233 + 10.39985t + .5953 x JO"5t

2
*°- 1 DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 2 5

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1958 01

Section At MJD 36886 to 36984 (November 14, 1959 to February 20, 1960)

T = 36886.0

o

ID = 122241 + 4.°16598t - 2OOO15O7t2 + 2066 sin (62.0 + 4.15t)

0 = 232254 - 2?83122t - 2OOO4928t2 + 26776 x 10"V - 2301 x 10"V

1 » 342 242 - 20O0184t + 2807 x 10"V - 22135 x 10~5t

3

 + 2 2058 x 10"7t

4

 - 26889 x 10"10

e = .206L8 + .5211 x lO^t - .562 x 10"6t

2

 + .000870 sin (50.2 + 4.15t)

M = .82587 + 10.4005t + .47756 x 10"V

Section 5: MJD 36966 to 37064 (February 2 to May 10, 1960)

T = 36966.0

o

ID a 94? 79 + 4215O13t + 2200 x 10"V + 2114 sin (207.3 + 4.15t)

n = 5215 - 22844Ot + 2312 x lO"4^ - !516 x lO^t 3 + ?265 x 10"8t

4

i = 34"264 + •0O0662t - ?645 x lo A + ?2097 x 10"5t

3

 - ?2699 x 10"7t

4

 + ?1188 x 10"9t

5

e = .20681 + .144 x 10"5t - .234 x 10~7t

2

 + .000527 sin (93.0 + 4.15t)

M = .89750 + 10.40129t + .272 x 10~5t

2

Section 6: MJD 37046 to 37144 (April 22 to July 29, 1960)

T • 37046.0

o

U) = 66?90 + 4?15353t - ?89 x 10"5t

2

 + ?080 sin (173.8 + 4.15t)

0 = 137?67 - 2?84347t - »370 x lO^t 2 + ?1122 x lO' V - ?761 x lO"8!

4

\ ~ * L O i = 342259 + 2OOO496t - 2913 x 10 t + 2385 x 10 Y - 2741 x 10^V + 2396 x 10 t

e = .20694 - .814 x 10"5t + .876 x 10~7t

2

 + .000416 sin (73.4 + 4.15t)

M = .01813 + 10.40177t + .1153 x lO' V

Section 7: MJD 37126 to 37224 (July 11 to October 17, 1960)

T = 37126.0

o

-4 2 U) = 39113 + 4U4903t + ?328 x 10 t + U14 sin (139.8 + 4.15t)

n = 27O?23 - 2?8460t + 2897 x lO"4!

2

 - U286 x 10"V + ?616 x lO"8!

4

i = 342262 - •000624t + ?317 x 10~V - 23968 x lO^t 3 + «1436 x 10"8t

4

e = .20704 - .1226 x 10"S + .1400 x lO"6!

2

 + .000411 sin (23.2 + 4.15t)

M = .16753 + 10.40194t + .4942 x 10"V
2 6 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1958 81

Section & MJD 37206 to 37288 (September 29 to December 20, 1960)

TQ = 37206.0

Ul = 11526 + 4515212t - °76 x 10"V i- U 34 sin (100. 3 + 4.15t)

0 = 42°72 - 25 84336t - 5795 x 10~\ 2 + Z 2009 x 10'5t

3

 - 51378 x 10~7t

4

1 = 345269 + 5000106t - 54325 x lO"4^ + "18605 x 10"5t

3

 - 226193 x 10"7t

4

 + 51177 x 10"9t

5

, e = .20721 - .1474 x 10"4t + .1820 x 10"V + .000505 sin (345.9 + 4.15t)

M = .32575 + 10.402081 + . 200 x 10~7t

2

Section 9: MJD 37268 to 37360 (November 30, 1960 to March 2, 1961)

To = 37268.0

U>= 268569 + 4S14983t + "260 x lO^t 2 + 5126 jin (339.4 + 4.18t)

Cl = 226539 - 2584056t - 5OOO185Ot2 + t2972 x 10"V - 51458 x 10"7t

4

i = 34?272 - 50O0282t + 5365 x 10"V + ?0067 sin(128.5 + 4.15t)

e = .20700 - .20 x 10~5t + .19 x 10"7t

2

 + .000478 sin (261.5 + 4.15t)

M = .25405 + 10.402171t - .535 x 10"V

Section 10: M p 37340 to 37420 (February 10 to May 1, 1961)

T = 37340.0

o

U)= 207*69 + 4?14491t + "813 x lO^t 2 + »170 sin (289.6 + 4.18t)

n = 21°65 - 2»84628t + SOO01726t2 - »3477 x 10"V + ?2101 x 10"7t

4

i = 34S273 - ?OOO331t + 5332 x 10"V + ?0116 sin (31.2 + 4.15t)

e = .20743 - .348 x lO^t + .388 x 10"6t

2

 + .000602 sin (233.4 + 4.15t)

M = .20771 + 10.402025t - .292 x 10"V

Satellite 1958 g 2 (Vanguard I)

Section 1: MJD 36338 to 36450 (May 15 to September 4, 1958)

T = 36338.0

o

U)= 25°73 + 4«401592t + °233 x 10' 5t

2

 + U462 sin (119.4 + 4.41t)

0 = 337?70 - 3S013460t + S501 x lO' V + ?1937 x lO"6^ - ?2248 x lO' V

i = 34?242 - »001748t + ?8181 x 10~*t2 - ?11257 x lo" V + 54787 x 10~V

e = .19031 - .661 x 10~5t + .311 x 10~7t

2

 + .000475 sin (32.5 + 4.41t)

M = .15127 + 10.724511t + .10197 x 10"V
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 2 7

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1958 02

Section Z- MJO 36430 to 36600 (August 15, 1958 to February 1, 1959)

T = 36430.0

o

(U = 70572 + 45401259t + 52924 x 10~V + 51244 sin(176.5 + 4.41t)

0 = 60548 - 35013786t + ?2723 x 10~V - 54610 x 10~V + S1383 x lO^t 4

i = 345254 - 5OO3237t + 500017840t2 - 5 34329 x 10"V + 5 28194 x 10"V - 59692 x 10"10t

5

-12 6

+ 51012 x 10 t

e - .19008 - .864 x 10~5t + 479 x 10' 7t

2

 + .000418 sin (67.6 + 4.41t)

M = .89441 + 10.725962t + .30401 x 10 " V

Section 3: MJD 36580 to 36770 (January 12 to July 21, 1959)

U) = 11554 + 4«410607t + 5846 x lO' V + 51436 sin (104.1 + 4.41t)

n « 328? 20 - 35O21232t + 54059 x 10~V - 54299 x 10~V + 51143 x 10"8t

4

i • 345248 - 5OOO585t + 53550 x 10~*t2 - 55974 x 10^t 3 + ?3853 x 10"8t

4

 - "859 x

e = .18986 + .73 x lO"6! - .44 x 10"8t

2

 + .000422 sin (12.9 + 4.41t)

M = .47652 + 10.734724t + .31332 x lO^t 2 - .4820 x 10~7t

3

Section 4: MJD 36750 to 36920 (July 1 to December 18, 1959)

T = 36750.0

o

U)= 41?54 + 4t415910t - ?342 x 10^t 2 + S1417 sin (135.2 + 4.41t)

0 = 174?61 - 3?019931t - S8363 x 10~V + S8283 x 10"V - "2618 x 10"V

i = 34S249 - ?004581t + »00021120t2 - 533295 x 10"V + S21697 x 10"7t

4

 - °.5007 x 10"10t

5

e = .18971 - .119 x 10"5t + .103 x 10"V + .000543 sin (43.5 + 4.41t)

M = .04624 + 10.741281t + .4751 x 10~5t

2

Section 5: MJD 36900 to 37050 (November 28, 1959 to April 26, 1960)

To = 36900.0

U)= 343591 + 45415918t - 5159 x 10"5t

2

 + 51182 sin (91.4 + 4.41t)

0 = 81525 - 35O3O3O2t + 50002O248t2 - 520063 x 10~5t

3

 + 56323 x lQ^t 4

i • 345262 - 5OO2214t + 500010472t2 - 518020 x 10~5t

3

 + 512488 x 10"7t

4

 - 52974 x 10~10t

5

e = .18969 + .154 x 10^t - .104 x 10~7t

2

 + .000384 sin (346.9 + 4.41t)

M = .34471 + 10.742689t + .2167 x 10"5t

2
28 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1958 02

Section 6: MJD 37030 to 37144 (April 6 to July 29, 1960)

T = 37030.0

o

UJa 197597 + 4?415768t + 5213 x 10"5t

2

 + 51147 sin (291.8 + 4.416t)

0 » 48514 - 3°O21893t - 53754 x lO^t + 51254 x 10 t 3 + 5795 x 10" t

i a 345250 + 5OOO836t - 5170 x lO^t 2 - 59312 x 10~V + 515973 x 10"7t

4

 - 57218 x 10~10t

5

e - .18976 + .210 x 10"5t - .258 x 10~7t

2

 + .000446 tin (204.9 + 4.416t)

M - .93072 + 10.743220t + .728 x lo"6!

2

Section 7: MJD 37120 to 37221 (July 5 to October 14, 1960)

T m 37120.0

o

UJa 235542 + 45415738t + 5242 x 10"5t

2

 + 51348 fin (328.7 + 4.416t)

n a 136502 - 3502224U - 52623 x 10"V + 5328 x 10"V + 51236 x 10~V

i • 345255 + 5001274t - 59869 x lO^t 2 + 523426 x 10"V - 523075 x 10"V + ° 823 7 * 10"10t

e a .18972 + .7 x 10~7t - .328 x 10~7t

2

 + .000441 sin (237.0 + 4.416t)

M = .82703 + 10.743282t + .1503 x 10~5t

2

Section & MJD 37201 to 37299 (September 24 to December 31, 1960)

T - 37201.0

o

U)= 233510 + 45417346t - 51539 x 10~ V + 51135 sin (330.5 + 4.416t)

n = 251511 - 35O22492t - 51177 x lO"4*

2

 - 51800 x 10~V + 52819 x lO"8!

4

i = 345237 + 5002636t - 500012029t2 + 516861 x 10"5t

3

 - 55601 x 10"V - 51538 x 10"10t

5

e • .18962 - .902 x 10"^t + .551 x 10~7t

2

 + .000518 sin (228.7 + 4.416t)

M = .04224 + 10.743532t + .3865 x lO^t 2

Section 9: MJD 37281 to 37411 (December 13, 1960 to April 22, 1961)

TQ a 37281.0

U>= 226537 + 45417650t - 5209 x 10"V + 51357 sin (316.0 + 4.416t)

0 = 9528 - 35022799t - 5272 x 10~St

2

 - 5295 x 10"7t

3

 + 5237 x 10"9t

4

1 a 345258 - 5000274t + 5189 x 10~5t

2

 + 501155 sin (34.9 + 4.416t)

e a .18926 - .355 x lO^t + .234 x 10~7t

2

 + .000470 tin (222.9 + 4.416t)

M • .54927 + 10.744189t + .2352 x 10~5t

2
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 2 9

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1958 02

Section 10: MJD 37407 to 37510 (April 18 to July 31, 1961)

TQ = 37407.0

OUa 62?95 + 4?417077t + ?194 x 10"V + ?1259 sin (150.7 + 4.42t)

0 = 348? 23 - 3?015952t - ?00014044t2 + ?9886 x 10"V - ?2491 x 10"8t

4

1 = 34«252 - SOOO163U + U052 x 10"V + ?01015 sin(252.9 + 4.42t)

e = .18913 + .3310 x 10"5t - .297 x 10~8t

2

 + .0004033 sin (59.5 + 4.42t)

M • .35497 + 10.744871t + .256043 x 10~5t

2

Section 11: MJD 37510 to 37582 (July 31 to October 10, 1961)

TQ = 37407.0

OUa 62»95 + 4?417077t + S194 x lO' V + ?1259sin (150.7 + 4.42t)

( Is 348*23 - 3?015952t - °00014044t2 + ?9886 x 10"V - «2491 x 10"V

i a 34?252 - ?OOO1631t + 51052 x 10"5t

2

 + ?01015 sin (252.9 + 4.42t)

e a .18913 + .3310 x 10~5t - .297 x 10"8t

2

 + .0004033 sin (59.5 + 4.42t)

M = .37743 + 10.74629t + .385384 x 10"5t

2

Satellite 1959 a i (Vanguard II)

Section 1: MJD 36618 to 36720 (February 19 to June 1, 1959)

TQ m 36618.0

UJ= 142»36 + 5?26407t + ?144sin (256.2 + 5.272t)

n = 177?732 - 3?493869t - S7811 x lO"4!

2

 + »101 x lO^t 3

i = 32?887 - ?000147t + S0157 sin (324.0 + 4.500t)

e = .16575 - .358 x 10~5t + .000397 sin (137.4 + 5.272t)

M = .21337 + ll.441937t + .33838 x 10" t + .51769 x 10" t - .26054 x 10' t

Section 2s MJD 36700 to 36800 (May 12 to August 20, 1959)

TQ = 36700.0

uu m 214S03 + 5t269821 + U68 sin (297.8 + 5.272t)

d = 2S0t777 - 3?506923t + !5450 x 10"*t2 - ?4778 x 10"V

i * 32»878 - ?000380t + S2308 x lO^t 2 - ?2083 x lO"6!

3

e = .16548 - .171 x 10"^t + .000472 sin (207.2 + 5.272t)

M = .84661 + 11.4S253t + .28040 x 10"V + .16811 x lO^t 3 - .13759 x lO"8!

4
3 0 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1959 al

Section 3: MJD 36780 to 36930 (July 31 to December 28, 1959)

TQ = 36780.0

U)= 2755575 + 55 274537t + 51558 sin (5.9 + 5.272t)

0 m 3305342 - 35510501t + 55252 x lO^t 2 - 52943 x 10"^t3

1 = 3258773 + 5283 x 10"*t + 501144 sin (165.9 + 3.83t)

e - .165310 - .1326 x 10~5t + .0004695 sin (275.2 + 5.272t)

M = .25669 + 11.457393t + .18896 x lO"4!

2

 - .3825 x 10"8t

3

 - .1190 x 10"9t

4

Section 4: MJD 36900 to 37024 (November 28, 1959 to March 31, 1960)

To = 36902.0

U) = 199511 + 5527517t + 5174 sin (276.3 + 5.272t)

Q = 2625313 - 35513402t + 59241 x 10 "^t2 - 55572 x lO^t 3

i = 325871 - °OOO254t + 53289 x lO^t 2 - 55257 x 10^t 3 + 52166 x 10"8t

4

e = .16513 - .63 x 10"6t + .000490 sin (204.1 + 5.272t)

M = .30511 + 11.461069t + .5293 x lO' V + .4998 x 10"7t

3

 - .1914 x 10"9t

4

Section 5: MJD 37000 to 37046 (March 7 to April 22, 1960)

TQ = 37000.0

U)= 356524 + 5527248t - 5OOO5O24t2 + 514569 x lO"4!

3

 - 55971 x 10~7t

4

fi= 2785376 - 355155Ot + 5OOO1318t2 - 5 2348 x 10~5t

3

 + 52808 x 10~7t

4

i = 325869 - 5OO382Ot + 5OOO24293t2 - 545433 x 10"5t

3

 + 530035 x 10"7t

4

e = .16491 + .230 x 10~5t + .000619 sin (10.1 + 5.28t)

M = .56980 + 11.462838t + .6759 x 10"5t

2

 + .12134 x 10 " V

Section 6: MJD 37024 to 37170 (March 31 to August 24, 1960)

TQ = 37024.0

UO = 122580+ 5527496t + 5420 x lO"4^ + 5143 sin (233.2 + 5.272t)

0 = 1945021 - 355O591U - 57331 x 10"*t2 + 52499 x 10"V

1 = 325856 + 5004115t - 50O012432t2 + 512317 x 10"V - 53862 x lO"8!

4

e = .16487 - .180 x 10~5t + .000455 sin (124.4 + 5.272t)

M = .68284 + 11.4634291 + .15679 x 10~ V + .3183 x 10"7t

3

 - .948 x 10"10t

4
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 3 1

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1959 al

Section 7: MJD 37150 to 37270 (August 4 to December 2, 1960)

TQ » 37150.0

ID = 68502 + 5528115t + ?314 x lO^t 2 + 5137 sin (149.8 + 5.272t)

n » 1115609 - 3?510485t - 57936 x 10~V + 53261 x 10 " V

i = 325884 + 5001484t - 57546 x 10~V + 510153 x 10~5t

3

 - 54032 x 10"V

e a .16477 - .166 x lO^t + .000432 sin (71.8 + 5.272t)

M » .36352 + 11.4680371 + .263916 x 10 " V + .5936 x 10"7t

3

 - .5653 x 10 "9t

4

Section 8: MJD 37250 to 37390 (November 12, 1960 to April 1, 1961)

ID » 236543 + 5528657t + 563 x 10"5t

2

 + 5170 sin (323.6 + 5.29t)

Q = 1205104 - 35516578t + 51461 x 10~ V - 52428 x lO^t 3 + 5880 x 10~9t

4

i • 325883 + 5OO2562t - 500018268t2 + 543081 x 10' 5t

3

 - 544099 x 10"7t

4

 + 519476 x 10"^

- 52802 x 10"12t

6

e - .16464 - .444 x 10~5t + .497 x 10"V - .180 x 10"9t

3

 + .000442 sin (231.6 + 5.29t)

M = .43388 + 11.4725371 + .31138 x 10~V - .40977 x 10~V + .28836 x 10"V*

- .7734 x 10 ""l 5

Satellite 1959 a 2 (Vanguard II Rocket)

Section 1: MJD 36640 to 36720 (March 13 to June 1, 1959)

T = 36640.0

o

U) = 251518 + 4595100t - 5O0083O9t2 + 57407 x 10 ^t 3

Q= 105590 - 3527338t - 50O01762t2 + 5924 x lO^t 3

i = 325943 + 5OO1798t - 5O0O16512t2 + 531549 x lO' V - ° 1768 1 x 1 0 l

e = .18406 - .3419 x 10~5t + .000400 sin (250.4 + 4.94t)

M = .21176 + 11.06926U + .56243 x 10"V + .25077 x 10"V - .20151 x 10"V

Section 2: MJD 36700 to 36800 (May 12 to August 20, 1959)

TQ = 36700.0

U) = 186580 + 4594457t + 50O02705t2 - 511126 x 10"V + 57863 x 10~7t

4

0 = 269507 - 3528606t + 5448 x 10"V - 5376 x 10"V

i = 325908 + 5O01616t - 5643 x 10~V + 51088 x 10"5t

3

 - 56017 x lO^t 4

e • .18394 - .153 x lO^t - .000505 sin (186.5 + 4.940t)

M - .5977 + 11.07721t + .386 x 10^t 2 - .4480 x 10"7t

3

677-550 O - 63 - 3
32 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1959 a2

Section 3: MJD 36780 to 36900 (July 31 to November 28, 1959)

To = 36780.0

(1) = 221?51 + 4°97880t - °0014446t2 + ? 17920 x 10"V - ?70O0 x 10~7t

4

f}= 6»31 - 3°2893t + ?417 x 10~5t

2

 - U8 x 10"7t

3

i = 32S946 - ?OO2218t + °2442 x 10~V + U948 x 10"6!

3

 - °2252 x 10"8t

4

e = .18377 - .154 x 10"5t + .000445 sin (222.3 + 4.94t)

M = .99630 + 11.08271t + .2572 x 10 " V - .4880 x 10 ~

7

t

3

Section 4s MJD 36880 to 37024 (November 8, 1959 to March 31, 1960)

TQ = 36880.0

OU = 355?77 + 4!94107t + "156 sin (80.3 + 4.94t)

0 = 37? 42 - 3°28999t + US x 10 ~

5

t

2

1 = 32T?39 - ?OO1918t + °3857 x 10~V - ?2477 x 10~V + °444 x 10"9t

4

e = .18359 - .96 x lO^t + .000458 sin (354.5 + 4.94t)

M = .47329 + 11.08649t + .917 x 10~5t

2

Section 5: MJD 37000 to 37120 (March 7 to July 5, 1960)

T = 37000.0

o

U) = 228?69 + 4?94269t + ?44 x 10"5t

2

 + «075 sin (309.2 + 4.95t)

Q = 2? 61 - 3»281809t - ?0004089t2 + ?5640 x 10 " V - ?2387 x 10 "7t

4

i = 32»9O9 + ?OO0259t - U25 x lO' V + "0224 sin (57.5 + 4.95t)

e = .18358 - .54 x 10^t - .296 x 10~7t

2

 + .000470 sin (228.0 + 4.95t)

M = .98708 + 11.08829t + .1228 x 10~V - .438 x 10"7t

3

 + .153 x 10"9t

4

Section 6: MJD 37100 to 37200 (June 15 to September 23, 1960)

To = 37100.0

(JO = 2?95 + 4»94552t + 559 x 10"5t

2

 + »171 sin (102.4 + 4.95t)

0 = 33?53 - 3?28947t - "335 x lC V + U70 x lO^t 3

i = 322924 - °O01827t + ?2866 x 10^t 2 + ?464 x 10"7t

3

 - U559 x lO^t 4

e = .18324 - .718 x 10"5t + .380 x 10"7t

2

 + .000432 sin (358.1 + 4.95t)

M = .90993 + 11.0900t + .1626 x 10"V - .1378 x lO^t 3 + .1155 x lO'M
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 3 3

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1959 a2

Section 7: MJD 37180 to 37280 (September 3 to December 12, 1960)

T = 37180.0

o

ID = 38561 + 4594622t + 5283 x 10"V + 5154 sin (125.6 + 4.95t)

Q = 1305 25 - 35 29186t - 568 x 10~5t

2

 - 5158 x 10"V

i • 325926 - 50OO69U + S363 x 10~V - 26653 x lO' V + ?3549 x 10"8t

4

e = .18278 + .317 x 10~5t - .224 x 10"7t

2

 + .000549 sin (41.7 + 4.95t)

M = .19182 + 11.09228t + .35779 x 10~V - .29872 x 10~7t

3

 - .6024 x 10"10t

4

Section 8: MJD 37260 to 37388 (November 22, 1960 to March 30, 1961)

TQ = 37260.0

U) » 74«48 + 4595U9t + 541 x 10"5t

2

 + .131 sin (167.2 + 4.95t)

0 =» 226577 - 35 29583t - 553 x 10"5t

2

 - !9

1 •• 325912 + 577 x 10~*t + 583 x lO^t 2 - 596 x 10"8t

3

 + 50082 sin (244.2 + 4.95t)

e = .18293 - .59 x lO^t + .113 x 10"7t

2

 + .000489 sin (75.8 + 4.95t)

M = .78642 + 11.09726t + .26705 x 10"V - .13198 x lO"6^ + .2995 x 10"9t

4

Satellite 1959 Eta (Vanguard III)

Section 1: MJD 36832 to 36950 (September 21, 1959 to January 17, 1960)

T = 36832.0

o

U) = 147?09 + 4?87103t + ?61 x 10"5t

2

 + ?145 sin (240.9 + 4.883t)

fj = 223?980 - 3?270292t - ?4071 x lO"4^ + U676 x 10"^t3

i = 33?339 + ?001580t - 53931 x loA 2 + ?3232 x 10"^t3 - 5811 x 10"9t

4

e = .19008 - .96 x 10"^t + .000446 sin (149.5 + 4.883t)

M = .64733 + ll.O6139Ot + .12115 x lO^t 2

Section 2: MJD 36930 to 37044 (December 28, 1959 to April 20, 1960)

T = 36930.0

o

W = 264555 + 4°87246t + 5108 x 10~V + 5120 sin (340.6 + 4.887t)

0 = 2635269 - 35275542t + 53912 x 10~V - 52379 x lO^t 3

i = 335363 - 5OO24O4t + 58016 x 10~V - 57888 x lO^t 3 + 52002 x

e = .18998 - .338 x 10~5t + .000447 sin (270.0 + 4.887t)

M = .77874 + 11.063792t + .15479 x 10^*t2
34 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1959 Eta

Section 3: MJD 37025 to 37130 (April 1 to July 16, 1960)

T = 37025.0

o

0U= 7?54 + 4?87814t - °.79 x 10~5t

2

 + °.094 sin (109.4 + 4.89t)

Cl = 312*295 - 3°282613t + ?OOO14199t2 - ?7899 x lO^t

i = 33? 346 - ?OO4586t + ?O0021659t2 - "29454 x 10 ~

5

t

3

 + •12364 x 10~7t

4

e m .18963 - .36 x 10"5t + .000425 sin (8.2 + 4.89t)

M =» .97618 + 11.067015t + .20357 x 10 "S 2

Section 4: MJD 37110 to 37196 (June 25 to September 19, 1960)

T = 37110.0

o

U) = 61S96 + 4°8888Ot - S763 x 10 ~V + ?150 sin (128.9 + 4.893t)

fi= 33°816 - 3?274982t - ?00010506t2 + ?8244 x 10"*V

i = 33S353 + ?31 x 10"^t - «4411 x 10"V + »10582 x 10"5t

3

 - ?6192 x 10~8t

4

e = .18928 + .82 x 10"^t + .000438 sin (58.7 + 4.893t)

M = .82087 + ll.O7O264t + .29195 x 10~V

Section 5: MJD 37183 to 37300 (September 6, 1960 to January 1, 1961)

T • 37183.0

o

U) m 58».54 + 4?87789t + ?623 x lO" 4^ + ?187 sin (172.8 + 4.89t)

0 = 154«516 - 3»279448t - «2712 x lo" 4!

2

 + ?358 x 10"7t

3

1 = 33?359 + ?OOO2O9t + °. 207 x 10"5t

2

 - ?1463 x 10"6t

3

 + ?979 x 10~9t

4

e m .18918 + .6 x 10~7t + .000493 sin (56.9 + 4.89t)

M = .10453 + 11.074634t + .56185 x 10~V - .18075 x 10"V + .1768 x 10"9t

4

Section 6: Mp 37280 to 37370 (December 12, 1960 to March 12, 1961)

TQ = 37280.0

ID = 172»32 + 4»88710t + ?119 x 10~V + ?136 sin (265.6 + 4.89t)

Q = 196?187 - 3?28347Ot + «496 x 10"5t

2

 - ?1204 x 10"V + ?454 x 10"9t

4

i = 33?351 + ?000129t - ?81 x lO" 6^ + ?0076 sin (354.9 + 4.89t)

e = .18914 - .177 x 10~5t + .31 x 10~8t

2

 + .000438 sin (170.9 + 4.89t)

M - .72330 + 11.081058t + .13982 x lO^t 2 - .4167 x 10'7t

3
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 3 5

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1959 Eta

Section 7: MJD 37350 to 37442 (February 20 to May 23, 1961)

To • 37280.0

(i)= 172*32 + 4»88710t + ?119 x 10~V + °. 136 sin (265.6 + 4.89t)

0 = 196°187 - 3S283470t + ?496 x 10' 5t

2

 - '1204 x 10"V + "454 x 10"9t

4

1 =* 33?351 + »000129t - ?81 x lO^t 2 + ° 0076 sin (354.9 + 4.89t)

e • .18914 - .177 x 10"5t + .31 x 10~8t

2

 + .000438 sin (170.9 + 4.89t)

M » .69857 + 11.081978t + .24941 x lO' V + .5927 x 10~V

Satellite 1960 §1 (Explorer VIII)

Section 1: MJD 37245 to 37350 (November 7, 1960 to February 20, 1961)

T = 37245.0

o

U • 62203 + 2»79876t + S141 x 10~V + 2 298 sin (153.0 + 2.8Ot)

0 = 4«301 - 3°.37O558t + ?3047 x 10 " V - ?3756 x 10 " V + «797 x 10 "9t

4

1 • 49?955 - ?38 x 10~*t + ?0031 sin (143.9 + 2.8Ot)

e - .12060 - .130 x lO^t - .83 x 10~8t

2

 + . 000772 sin (62. 8 x 2.80t)

M = .14695 + 12.772427t + .42626 x 10"V - .5063 x 10~7t

3

 + .2595 x 10"^t4

Section 2: MJD 37330 to 37420 (January 31 to May 1, 1961)

To = 37245.0

U) = 62503 + 2S79876t + °141 x 10~V + ?298 sin (153.0 + 2.8Ot)

Cl = 4? 301 - 3?370558t + °3047 x 10"^t2 - S3756 x 10 ~ V + S797 x 10~9t

4

i = 49«955 - "38 x lO"4! + ?0031 sin (143.9 + 2.8Ot)

e = .12060 - .130 x 10"5t - .83 x 10"8t

2

 + .000772 sin (62.8 + 2.80t)

M = .21411 + 12.771222t + .36636 x 10~V + .13426 x 10~V - .4576 x 10"V
36 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1961 61 (Explorer IX)

Section 1: MJD 37347 to 37400 (February 17 to April 11, 1961)

TQ = 37347.0

uu = 101? 81 + 4?73772t + ?0010967t2 - ?8276 x 10~5t

3

 - ?2048 x 10 "7t

4

fj = 169?36 - 3?63979t + ?888 x 10 " V - ?163 x 10 " V

i = 38?86O + ?001111t - ?4102 x 10~V + ?3393 x 10~V

e = .12236 - .OOO15O89t + .5853 x 10 " V + .4248 x 10"V

M = .46926 + 12.160213t + .5115 x 10"V + .45946 x 10~V - .14966 x 10"V

Section 2: MID 37390 to 37435 (April 1 to May 16, 1961)

T = 37390.0

o

U) = 3O6?83 + 4?78292t - ?0004489t2 - ?15060 x w V + ?24632 x 10"6t

4

 + ?15786 x 10' 8t

5

fj = 13?01 - 3?63357t - ?17S x 10 " V + ?496 x 10"V

i = 38?856 + ?000826t - ?7554 x 10"V + ? 12195 x 10~V

e = .11729 - .9748 x lO^t + .65547 x 10"5t

2

 - .241674 x lO"6!

3

 + .253918 x lO"8!

4

M = .39776 + 12.163319t + .11407 x 10"V + .67063 x 10"V - .73615 x 10~8t

4

Section 3: MJD 37415 to 37468 (April 26 to June 18, 1961)

T = 37415.0

o

4 2 U) = 65°94 + 4?76574t + ?216 x 10 t + ?175 sin (166.4 + 4.77t)

0 = 282? 16 - 3?63275t - ?35 x 10' 5t

2

 + ?364 x 10"V - ?125 x 10' 8t

4

i = 38? 849 - ?000565t + <;3535 x 10"V - ?7080 x 10"V + ?4029 x 10"8t

4

e = .11617 - .8476 x 10~4t + .3420 x 10"6t

2

 - .2002 x 10"7t

3

 + .4695 x 10"9t

4

- .2896 x 10~ Ut

5

M = .49293 + 12.165635t - .55835 x 10' V + .254554 x 10"5t

3

 - .204109 x 10"7t

4
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 3 7

TABLE 4.—Least-squares fitting of orbital elements—Continued

Satellite 1961 51

Section 4: MJD 37458 to 37510 (June 8 to July 30, 1961)

T = 37415.0

o

CD = 65? 94 + 4? 76574? + ?216 x 10'4t

2

 + "175 sin (166.4 + 4. 77t)

0 = 282? 16 - 3?63275t - ?35 x 10'5t

2

 + ?364 x 10"6t

3

 - ?125 x 10"8t

4

1 = 38?849 - ?0O0565t + ?3535 x 10' V - ?7080 x 10'6t

3

 - ?4029 x 10'8t

4

e m .11617 - .8476 x 10~4t + .3420 x 10"6t

2

 - .2002 x 10' V + .4695 x 10'9t

4

- .2896 x 10"Ht

5

M m .64170 + 12.152901t + .OO036537Ot2 - .371741 x 10"5t

3

 + .144022 x 10'7t

4

Section 5: MJD 37500 to 37542 (July 20 to September 1, 1961)

TQ = 37500.0

U)= 110?99 + 4?78744t - ?0001479t2 + ? 197 sin (172.2 + 4.77t)

0 = 333?51 - 3?62680t - ?936 x 10"V + ?1834 x 10' V - ? 1074 x 10"V

1 = 38?832 + ?000761t - ?3867 x lO' V + ?6480 x lO' V - ?4111 x 10"8t

4

e = .11080 - .00011186t + .44356 x lO' V - .19309 x lO' V + .3612 x lO' V

- .2229 x 10"10t

5

M = .74612 + 12.170484t - .24171 x 10' V + .230385 x lO'V - .233256 x 10'7t

4

Section 6: MJD 37532 to 37574 (August 21 to October 2, 1961)

T = 37500.0

o

U = 110?99 + 4?78744t - ?0001479t2 + ? 197 sin (172.2 + 4.77t)

0 = 333? 51 - 3?62680t - ?936 x 10"V + ?1834 x 10"V - ?1074 x 10"V

1 = 38?832 + ?000761t - ?3867 x 10"4t

2

 + ?6480 x 10"V - ?4111 x lO' V

e = .11080 - .OOO11186t + .44356 x lO' V - .19309 x 10' V + .3612 x 10"8t

4

- .2229 x 10"1Ot

5

M = .53811 + 12.185659t - .0O0380871t2 + .489570 x lO' V - .210151 x 10"7t

4
3 8 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters

Satellite 1958 Alpha

MJD

36242.0

43.0

44.0

45.0

46.0

47.0

48.0

49.0

50.0

51.0

52.0

53.0

54.0

55.0

56.0

57.0

58.0

59.0

60.0

61.0

62.0

63.0

64.0

65.0

66.0

67.0

68.0

69.0

70.0

71.0

72.0

73.0

74.0

75.0

76.0

77.0

78.0

79.0

80.0

81.0

82.0

83.0

84.0

85.0

86.0

87.0

88.0

89.0

90.0

91.0

92.0

93.C

94.0

95.0

96.0

97.0

98.0

99.0

36300.0

01.0

-107P 107

6.03

6.03

6.29

6.79

6.60

5.27

4.70

4.25

4.06

5.02

5.27

4.70

4.19

4.13

4.25

4.06

3.81

3.62

3.94

4.06

3.36

3.87

4.13

4.32

4.32

5.40

6.03

5.27

4.57

5.33

5.90

5.65

5.84

6.86

6.92

5.33

5.14

5.71

6.22

5.65

5.21

5.33

5.52

5.14

5.08

6.41

6.03

4.70

5.02

5.59

6.03

6.48

6.86

7.40

7.49

7.56

7.81

8.06

7.36

6.79

pR -107i>A

6 . 0

6 . 0

6 . 3

6 . 8

6 . 6

5 . 3

4 . 7

4 . 3

4 . 1

5 . 0

5 . 3

4 . 7

4 . 2

4 . 1

4 . 3

4 . 1

3 . 8

3 . 6

3 . 9

4 . 1

3 . 4

3 . 9

4 . 1

4 . 3

4 . 3

5 . 4

6 . 0

5 . 3

4 . 6

5 . 3

5 . 9

5 . 6

5 . 8

6 . 9

6 . 9

5 . 3

5 . 1

5 . 7

6 . 2

5 . 6

5 . 2

5 . 3

5 . 5

5 . 1

5 . 1

6 . 4

6 . 0

4 . 7

5 . 0

5 . 6

6 . 0

6 . 5

6 . 9

7 . 5

7 . 5

7 . 6

7 . 8

8 . 1

7 . 4

6 . 8

log p.

-13.6 9

. 6 9

. 6 7

. 6 4

. 6 5

. 7 5

. 8 0

. 8 4

. 8 6

. 7 8

.75

. 8 1

. 8 6

. 8 7

. 8 5

. 8 7

. 9 0

. 9 3

. 8 9

. 8 7

. 9 5

. 8 9

. 8 6

. 8 4

. 8 4

. 7 4

. 6 9

. 7 4

. 8 0

. 7 4

. 6 9

. 7 2

. 7 0

. 6 3

. 6 3

. 7 4

. 7 6

. 7 1

. 6 8

. 7 2

. 7 5

. 7 5

. 7 3

. 7 6

. 7 6

. 6 7

. 6 9

. 8 0

. 7 7

. 7 2

. 6 9

. 6 6

. 6 3

. 5 9

. 5 9

. 5 8

. 5 7

. 5 6

. 6 0

. 6 3

log pB

-13.69

. 6 8

. 6 6

. 6 3

. 6 3

. 7 2

. 7 7

. 8 0

.82

. 7 2

. 6 9

. 7 4

.7fl

. 7 8

. 7 6

. 7 8

. 8 1

. 8 3

. 8 0

. 7 8

. 8 6

. 8 0

. 7 9

. 7 7

. 7 8

. 6 9

. 6 5

. 7 1

. 7 8

. 7 2

. 6 8

. 7 0

. 6 9

. 6 2

. 6 2

. 7 3

. 7 5

. 7 0

. 6 6

. 7 0

. 7 3

. 7 2

. 7 0

. 7 3

. 7 3

. 6 4

. 6 6

. 7 7

. 7 5

. 7 0

. 6 8

. 6 4

. 6 2

. 5 9

. 5 9

. 5 9

. 5 8

. 5 6

. 6 0

. 6 3

T,

(°K)

1506

1507

1556

1642

1619

1430

1354

1307

1288

1431

1492

1408

1341

1333

1372

1345

1301

127 1

1318

1347

1234

1305

1328

1350

1340

15C0

1584

1458

1345

1438

1519

1467

1492

1660

1659

1416

1390

1479

1560

1474

1419

1437

1471

1413

1414

1616

1549

1352

1391

1473

1527

1596

1652

1742

1734

1744

1774

1824

1709

1618

z

(km)

355.7

35S.8

356.0

356.3

356.9

357.5

358.3

359.?

360.2

361.?

362.2

363.2

364.1

364.8

365.5

365.9

366.2

366.3

366.1

365.8

365.3

364.6

363.8

362.9

362.0

361.0

360.0

359. 1

358.2

357.5

356.8

356.4

356.1

355.9

355.9

356.0

356.2

356.5

356.9

357.3

357.6

358.0

358.3

358.5

358.6

358.6

358.4

358.2

357.9

357.4

356.9

356.4

355.9

355.4

355.0

354.6

354.4

354.3

354.4

354.6

o,-oo

(deg.)

159.3

159.4

159. 5

159.6

159.7

159.8

160. I

160.5

161.1

161.9

162.9

164.1

165.7

167.5

169. 5

171.7

174.0

176.5

178.8

181.2

183.3

185.2

186.9

188.3

189.4

190.3

191.0

191.5

191.9

192.2

192.3

192.5

192.6

192.8

193.0

193.4

194.0

194.7

195.7

196.9

198.3

200.0

202.0

204.1

206.4

208.8

211.2

213.6

215.8

217.7

219.5

221.0

222.2

223.2

224.0

224.6

225.0

225.3

225.5

225.7

+0

(deg.)

158.8

157.7

156.2

154.4

152.4

150.3

148.2

146.1

144.1

142.3

140.7

139.3

138.2

137.3

136.9

136.6

136.8

137.3

138.1

139.3

140.8

142.6

144.7

147.0

149.6

152.3

155.1

158.0

160.8

163.4

165.6

167.0

167.4

166.6

164.9

162.4

159.6

156.6

153.6

150.6

147.6

144.9

142.3

139.9

137.8

135.9

134.3

133.0

131.9

131.2

130.7

130.5

130.5

130.7

131.0

131. 5

132.1

132.7

133.3

133.8

'r'.in

(deg.)

130.1

129.4

128.6

127.7

126.6

125.6

124.6

123.6

122.8

122.2

121.8

121.6

121.7

122.1

122.8

123.8

125.2

126.8

128.7

130.9

133.3

135.9

138.7

141.6

144.7

147.7

150.8

153.7

156.5

158.9

160.8

162. 1

162.6

162.4

161.4

160.0

158.2

156.3

154.3

152.4

150.6

149.0

147.7

146.6

145.8

145.2

145.0

145.1

145.6

146.3

147.3

148.5

150.0

151.7

153.5

155.4

157.4

159.3

161.1

162.5
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 3 9

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD -10 7

P 107P, -107P A

36302.0

03.0

04.0

05.0

36306.0

08.0

10.0

12.0

14.0

16.0

18.0

20.0

22.0

24.0

26.0

28.0

30.0

32.0

34.0

36.0

38.0

AO.O

A2.0

AA. 0

A6.0

A8.0

50.0

52.0

5A.0

56.0

58.0

6 0.0

62.0

6A.0

66.0

68.0

70.0

72.0

7A.0

76.0

78.0

80.0

82.0

8A.0

86.0

36388.0

89.0

90.0

91.0

92.0

93.0

9A.0

95.0

96.0

97.0

98.0

99.0

36A0O.O

6.A1

6.22

5.1A

5.0?

5 . 1

5 . 3

5.A

5 . L

A. 9

5 . 1

5 . 6

6 . 0

6 . 4

6.A

6 . 0

5 . 8

5 . 9

5 . 9

5 . 3

5 . 0

5 . 0

A.7

A.5

A.A

A.6

5 . 1

5.56

6.25

6.00

5.35

A.88

A.69

A.53

A. 35

A.02

3.68

3.58

3.31

3.02

3.87

A.8A

5.A1

6.15

6.A0

6.0A

5.80

5.58

5.71

<>.O2

7.03

7.65

6.A7

5.52

5.22

A. 66

4.47

A.60

A.86

6 . 4

6 . 2

5 . 1

5 . 0

5 . 1

5 . 3

5 . 4

5 . 1

4 . 9

5 . 1

5 . 6

6 . 0

6 . 4

6.A

6 . 0

5 . 8

5 . 9

5 . 9

5 . 3

5 . 0

5 . 0

A.7

A.5

A.A

A.6

5 . 1

5 . 6

6 . 3

6 . 0

5.A

A.9

A W

A.5

A.3

A .O

3 . 7

3 . 6

3 . 3

3 . 0

3 . 9

A.8

5. A

6 . 1

6.A

6 . 0

5 . 8

5 . 6

5 . 7

6 . 0

7 . 0

7 . 7

6 . 5

5 . 5

5 . 2

A.7

A.5

A.6

A.9

-13.6 6

. 6 7

. 7 6

. 7 7

-13.7 6

. 7 5

. 7 A

. 7 7

. 7 9

. 7 7

. 7 3

. 7 0

. 6 7

. 6 7

. 7 0

. 7 1

. 7 0

. 7 1

. 7 6

. 7 9

. 7 9

. 8 2

. 8 A

. 8 5

. 8 3

. 7 9

. 7 A

. 6 9

. 7 1

. 7 5

. 7 9

. 8 1

. 8 3

. 8 5

. 8 9

. 9 3

. 9 5

. 9 9

-IA. 0 3

-13.9 2

. 8 3

. 7 8

. 7 3

. 7 0

. 7 3

-13.75

. 7 6

. 7 6

. 7 3

. 6 7

. 6 3

. 7 0

. 7 8

. 8 0

. 8 5

. 6 7

. 8 6

. 8 3

iog pg

-13.66

. 6 7

.75

. 7 5

-13.73

. 7 0

. 6 7

. 6 8

. 7 0

. 6 8

. 6 5

. 6 3

. 6 2

. 6 3

. 6 8

. 7 0

. 7 0

. 7 1

. 7 6

. 7 8

. 7 8

. 8 0

. 8 2

. 8 3

. 8 2

. 7 9

. 7 4

. 6 9

. 7 1

. 7 6

. 7 9

. 8 0

. 8 1

. 8 1

. 8 3

. 8 6

. 8 7

. 9 1

. 9 6

. 8 5

. 7 8

. 7 4

. 7 0

. 6 9

. 7 2

-13.74

. 7 6

. 7 5

. 7 2

. 6 5

. 6 1

. 6 8

. 7 5

. 7 7

. 8 2

. 8 3

. 8 2

. 8 0

(°K)

1564

1543

1392

1388

1418

148 4

1534

1507

1484

1518

1592

1635

1666

1624

1525

1470

1468

1460

1378

13A2

1346

1309

1283

1266

1282

1329

1409

1497

1454

1379

1324

1312

1303

1294

1269

1238

1228

118 3

1134

1241

13A2

IA00

1A73

1A96

IA3A

IA06

1378

1393

1A3A

157A

1682

151A

1385

1350

1290

1266

1279

1310

z

(km)

355.0

355.6

356.3

357.2

358.A

361.0

363.3

365.0

365.9

365.9

365.0

363.5

361.5

359.3

357.3

355.8

35A.9

35A.7

355.0

355.8

356.7

357.A

357.7

357.A

356.5

3 5A.9

355.9

355.0

3 5A.5

35A.A

355.0

356.2

358.0

360.0

362.0

363.6

36A.7

365.0

36A.5

363.A

361.7

359.9

358.2

356.9

356.2

356.1

355.9

356.2

356.5

357.0

357.5

358.0

358.A

358.8

359.2

359. A

359.5

358.9

a,-a0

(deg.)

225.8

226.0

226.2

226.6

227.1

228.7

231.3

234.8

239.3

244.1

248.8

2 52.6

255.5

257.4

258.A

256.8

259.0

259.3

260.0

261.A

263.8

267.1

271.3

275.9

280.A

28A.1

286.9

288.6

289.5

289.9

290.0

290.2

290.7

292.0

29A.2

297.5

301.8

306. A

310.9

31A.7

317.5

319.2

320.2

320.5

320.6

320.8

321.0

321.A

321.9

322.7

323.7

325.0

326.5

328.3

330.A

332.6

33A.9

337.A

TO

(deg.)

134.2

134.3

134.3

134.0

133.5

131.7

129.0

125.7

122.0

118.2

114.7

111.5

108.7

106.3

104.1

102.1

99.9

97.3

94.4

90.9

87.0

82.8

78.5

74.4

70.9

68.3

66.7

66.5

67.6

69.6

72.3

75.1

77.7

79.7

80.6

80. A

78.9

76.2

72.4

67.9

62.9

57.7

52.6

47.8

43.6

40.1

38.5

37.1

35.7

34.5

33.3

32.0

30.8

29.5

28.1

26.6

25.0

23.2

(deg.)

163.6

164.0

163.9

163. 1

161.8

158.1

153.9

149.6

145.8

142.5

139.9

137.8

136.1

134.6

132.9

130.8

128.1

124.6

120.4

115.8

110.8

106.0

101.5

97.7

94.8

93.1

92.6

93.3

95.0

97.3

99.9

102.4

104.2

105.1

104.9

103.5

101.0

97.6

93.5

89.2

84.8

80.7

76.9

73.4

70.3

67.5

66.1

64.7

63.2

61.8

60.3

58.7

57.0

55.3

53.5

51.6

49.7

47.7
4 0 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. 8

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD -107P 107P» -107PA

36401.0

02.0

03.0

04.0

36412.0

13.0

14.0

15.0

16.0

17.0

18.0

19.0

20.0

21.0

22.0

23.0

24.0

25.0

26.0

27.0

28.0

29.0

30.0

31.0

32.0

33.0

34.0

35.0

36.0

37.0

38.0

3 9.0

40.0

41.0

42.0

43.0

44.0

45.0

46.0

47.0

48.0

49.0

50.0

51.0

52.0

53.0

54.0

55.0

56.0

57.0

58.0

59.0

60.0

61.0

62.0

63.0

64.0

65.0

66.0

4.86

4.74

4.55

4.80

6.73

7.23

7.35

7.41

7.35

7.16

6.79

6.42

6.23

6.04

b.lf

5.98

5.98

6.04

5.98

5.98

5.85

5.73

5.71

6.14

6.52

6.95

6.95

6.45

6.58

7.51

8.56

8.75

9.12

9.81

10.30

10.36

9.99

9.68

9.25

9.18

9.50

10.67

10.60

10.07

9.70

9.76

9.33

9.33

9.46

9.70

9.83

10.01

10.25

10.28

10.82

11.19

10.07

8.92

8.71

1UPA

4 . 9

4 . 7

4 . 5

4 . 8

6 . 7

7 . 2

7 . 4

7 . 4

7.4

7 . 2

6 . 8

6 . 4

6 . 2

6 . 0

6 . 2

6 . 0

6 . 0

6 . 0

6 . 0

6 . 0

5 . 8

5 . 7

5 . 7

6 . 1

6.5

7 . 0

7 . 0

6 . 5

6 . 6

7 . 5

8 . 6

8 . 8

9 . 1

9 . 8

10.3

10.4

10.0

9 . 7

9 . 2

9 . 2

9.5

10.7

10.6

10.1

9 . 7

9 . 8

9 . 3

9 . 3

9 . 5

9 . 7

9 . 8

10.0

10.2

10.2

10.8

11.1

10.0

8 . 9

8 . 7

logp.

-13.83

. 8 5

. 8 7

. 8 4

-13.68

. 6 5

. 6 3

. 6 3

. 6 3

. 6 5

. 6 7

. 7 0

. 7 1

. 7 3

. 7 2

. 7 3

. 7 3

. 7 3

. 7 3

. 7 4

. 7 5

. 7 6

. 7 6

. 7 3

. 7 0

. 6 7

. 6 7

. 7 0

. 6 9

. 6 4

. 5 8

. 5 6

. 5 5

. 5 2

. 4 9

. 4 9

. 5 1

. 5 2

. 5 5

. 5 5

. 5 3

. 4 8

. 4 9

. 5 1

. 5 3

. 5 2

. 5 5

. 5 5

. 5 4

. 5 3

. 5 2

. 5 1

. 5 0

. 5 0

. 4 8

. 4 6

. 5 1

. 5 6

. 5 7

log p.

-13.80

. 8 2

. 84

. 8 1

-13.67

. 6 4

.62

.62

. 6 1

. 6 2

.64

. 6 6

. 6 6

. 6 7

.65

.66

.66

. 6 6

. 6 6

.66

.67

. 6 8

. 6 9

. 6 6

.64

. 6 2

.62

. 6 6

.66

. 6 1

. 5 6

.55

.54

. 5 1

. 4 9

. 4 9

. 5 0

. 5 2

.54

.54

. 5 2

. 4 7

. 4 7

. 4 9

. 5 0

. 5 0

.52

. 5 2

. 5 1

. 5 0

. 5 0

. 4 9

. 4 8

. 4 9

. 4 6

. 4 6

. 5 0

. 5 6

. 5 7

1 .

TO

1310

1284

1259

1294

153 9

1616

1655

1666

1679

1662

1614

1567

1550

1532

1576

1554

1562

1568

1570

1569

1533

1511

1502

1553

1603

1668

1651

1559

1560

1681

1842

1861

1898

2007

2088

2101

2030

1980

1900

1906

1965

2191

2183

2104

2041

2067

1982

1984

2020

2053

2065

209 3

2118

2106

2204

2247

2035

1843

1806

z

(km)

358.9

358.7

358.5

358.2

356.4

356.6

357.0

357.5

358.2

359.0

359.9

360.8

361. 7

362.7

363.5

364.3

364.9

365.4

365.7

365.8

365.7

365.4

3 64.9

364.3

363.5

3 62.6

361.6

360.6

359.6

358.6

357.8

357.0

356.4

355.9

355.6

355.5

355.5

355.6

355.9

356.3

356.7

357.2

357.6

358.2

358.6

358.9

359.1

359.2

359.1

358.9

358.6

358.2

357.7

357.2

356.7

356.2

355.7

355.4

355.2

(deg.)

339.7

341.8

343.8

345.6

351.5

351.6

351.7

351.8

352.0

352.4

352.8

353.5

354.4

355.6

357.0

358.6

0 . 6

2 . 8

5 . 1

7 . 6

10.1

12.5

14.8

16.9

18.7

20.2

21.5

22.6

23.4

24.0

24.4

24.7

24.9

25. 1

25.3

25.5

25.8

26.2

26.8

27.6

28.6

29.8

31.4

33.2

35.3

37.5

39.9

42.4

44.9

47.3

49.5

51.5

53.2

54.7

55.9

56.9

57.6

58.2

58.6

(deg.)

21.3

19.3

17.2

15.1

16.6

19.5

?2.5

25.6

28.6

31.6

34.4

37. 1

39.6

41.8

43.8

45.5

46.9

47.9

48.6

49.0

48.9

48.6

47.8

46.8

45.4

43.7

41.9

39.8

37.6

35.3

33.0

30.8

28.8

27. 2

26.0

25.4

25.4

26.1

27.3

29.0

31.1

33.5

36.0

38.6

41.1

43.6

45.9

48.1

50.1

51.9

53.5

54.8

55.9

56.8

57.5

58.0

58.4

58.6

58.8

(deg.)

45.8

44.0

42.3

40.8

40.2

41.6

43.1

44.8

46.5

48.2

49.7

51.2

52.4

53.4

54.2

54.6

54.7

54.5

53.9

52.9

51.6

50.0

48.0

45.6

43.0

40.2

37.1

33.8

30.3

26.8

23.1

19.3

15.6

11.8

8 . 3

5.4

4 . 2

5 . 8

8 . 7

11.8

14.8

17.7

20.4

22. 8

25.0

27.0

28.6

30.0

31.0

31.8

32.2

32.4

32.4

32.1

31.7

31.2

30.6

30.0

29.6
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 4 1

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD

36467.0

63.0

69.0

70.0

71.0

72.0

73.0

74.0

75.0

76.0

77.0

78.0

79.0

80.0

81.0

82.0

83.0

84.0

85.0

86.0

87.0

88.0

89.0

90.0

91.0

92.0

93.0

94.0

95.0

96.0

97.0

98.0

99.0

36500.0

01.0

02.0

03.0

04.0

05.0

06.0

07.0

08.0

09.0

10.0

11.0

12.0

13.0

14.0

15.0

16.0

17.0

18.0

19.0

20.0

21.0

22.0

23.0

24.0

25.0

26.0

-107P 107P»

8.71

9.44

8.8 4

8.40

9.52

10. 01

9.52

9.21

8.7i

8.90

9. 6 3

9.41

8.90

8.83

9.01

8.64

8.09

7.97

7.72

7.54

7.66

7.66

7.85

8.02

8.14

8.32

9.98

8.63

8.75

9.85

10.28

9.06

9.61

9.55

9.14

9.01

8.77

8.47

3.40

8.40

8.47

8.47

rt.53

8.40

7.84

7.48

6.63

6.93

6.81

6.69

6.69

6.75

6.81

6.75

5.96

5.23

5.35

5.72

5.84

5.72

1U'PA

8 . 7

9 . 4

3 . 8

8 . 4

9 . 5

10.0

9 . 5

9 . 2

8 . 7

8 . 9

9 . 8

9 . 4

8 . 9

8 . 8

9 . 0

8 . 6

8 . 1

8 . 0

7 . 7

7 . 5

7 . 7

7 . 7

7 . 8

8 . 0

8 . 1

8 . 3

10.0

8 . 6

8 . 8

9 . 9

10.3

9 . 1

9 . 6

9 . 5

9 . 1

9 . 0

8 . 8

fi.5

8 . 4

ft.4

8 . 5

8 . 5

8 . 5

3 . 4

7 . 8

7 . 5

6 . 6

6 . 9

6 . 8

6 . 7

6 . 7

b.l

6 . 8

6 . 7

6 . 0

5 . 2

5 . 4

5 . 7

5 . 8

5 . 7

logp.

-13.57

. 5 4

. 5 7

. 5 9

. 5 3

. 5 1

. 5 4

. 5 5

. 5 8

. 5 7

. 5 3

. 5 5

. 5 8

. 5 8

. 5 7

. 5 9

. 6 2

. 6 2

. 6 4

. 6 5

. 6 3

. 6 3

. 6 3

. 6 1

. 6 1

. 5 9

. 5 1

. 5 8

. 5 7

. 5 2

. 5 0

. 5 5

. 5 3

. 5 4

. 5 6

. 5 6

. 5 7

. 5 9

. 5 9

. 5 9

. 5 8

. 5 8

. 5 8

. 5 8

. 6 1

. 6 3

. 6 8

. 6 6

. 6 6

. 6 6

. 6 6

. 6 6

. 6 5

. 6 6

. 7 1

. 7 7

. 7 5

. 7 3

. 7 2

. 7 3

lOgPs

-13.5 7

. 5 3

. 5 6

. 5 8

. 5 2

. 5 0

. 5 2

. 5 2

. 5 4

. 5 3

. 4 8

. 4 9

. 5 1

. 5 1

. 5 0

. 5 2

. 5 4

. 5 5

. 5 7

. 5 8

. 5 8

. 5 8

. 5 8

. 5 8

. 5 8

. 5 8

. 5 0

. 5 7

. 5 7

. 5 2

. 5 1

. 5 7

. 5 5

. 5 5

. 5 7

. 5 8

. 5 9

. 6 1

. 6 1

. 6 1

.6 1

. 6 1

. 6 1

. 6 1

. 6 5

. 6 7

. 7 2

. 7 1

. 7 2

. 7 3

. 7 3

. 7 3

. 7 3

. 7 4

. 7 8

. 8 5

. 3 3

. 8 0

. 7 9

. 7 9

IV

(°K)

1804

1918

1824

1767

1956

2057

1936

1952

1834

193 8

2128

2073

199 7

1994

2045

1976

18K5

1865

1805

1761

1782

1765

176 3

1767

1766

1780

2044

1790

1604

1962

2011

1807

1873

1850

1785

1768

173 7

1694

1681

1681

16^5

1695

1693

1676

1591

154 7

1432

1461

1443

1425

1419

1414

1422

1409

1334

1252

1276

1314

1332

1331

z

(km)

355.1

355.2

355.5

355.9

356.5

357.3

358.1

359.1

360.1

361.1

3 62.0

362.9

363.7

364.3

364.7

364.9

364.9

364.7

3 64.3

363.6

362.8

361.9

3t>0.8

359.3

358.3

357.4

356.5

355.6

354.9

354.2

353.7

353.3

353.0

352.8

3 52.7

352.7

352.7

352.7

352.6

352.6

352.4

352.2

351.9

351.5

350.9

353.3

349.6

348.9

348. I

347.4

346.7

346.2

345.8

345.5

345.4

345.6

346.0

346.6

347.4

348.4

a,-oo

(deg.)

58.9

59.1

59.3

59.5

59.8

60.1

60.6

61.3

62.2

63.4

64.8

66.5

68.5

70.7

73.1

75.7

78.2

80.7

83.1

85.3

87.2

88.8

90.2

91.3

92.1

92.7

93.2

93.4

93.6

93.8

94.0

94.2

94.4

94.8

95.4

96.1

97.1

98.4

99.9

101.7

103.7

106.0

108.4

110.8

113.2

115.6

117.7

119.6

121.2

122.6

123.6

124.5

125.1

125.5

125.7

125.9

126.0

126.1

126.2

126.4

rp0

(deg.)

58.9

59.1

59.3

59.6

60.0

60.6

61.3

62.3

63.4

64.7

66.2

67.9

69.6

71.5

73.4

75.4

77.3

79.2

81.0

82.7

84.4

85.8

87.2

88.4

89. b

90.5

91.4

92.2

93.0

93.7

94.5

95.4

96.3

97.3

93.5

99.8

101.3

103.0

104. R

106.7

108.8

110. 9

113.1

115.3

117.5

119.6

121.6

123.3

I24.fi

126.0

126.9

127.4

127.4

127.2

126.5

125.6

124.3

122.9

121.4

119.8

(deg.)

29.2

29.1

29.3

29.8

30.6

31.8

33.2

34.9

36.7

38.8

40.9

43.0

45.1

47.2

49.2

51.0

52.8

54.3

55.7

56.9

58.0

58.9

59.7

60.4

61.0

61.6

62.1

62.7

63.4

64.2

65.2

66.3

67.6

69.1

70.8

72.7

74.7

76.9

79.1

81.5

83.8

86.2

88.5

90.6

92.7

94.5

96.0

97.3

98.4

99.0

99.4

99.5

99.2

98.8

98.0

97.1

96.1

95.0

93.9

92.8
42 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. 8

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD -10 7P 10 7P,

36527.0

28.0

29.0

30.0

31.0

32.0

33.0

34.0

35.0

36.0

37.0

38.0

39.0

40.0

41.0

42.0

43.0

44.0

45.0

46.0

47.0

48.0

49.0

50.0

51.0

52.0

53.0

54.0

55.0

56.0

57.0

58.0

36569.0

70.0

71.0

72.0

73.0

74.0

75.0

76.0

77.0

78.0

79.0

80.0

81.0

82.0

83.0

84.0

85.0

86.0

87.0

88.0

89.0

90.0

91.0

92.0

93.0

94.0

95.0

5.35

5.11

5.29

5.84

6.02

6.32

6.38

6.38

6.51

6.51

6.51

6.44

6.46

6.44

6.63

6.63

6.44

5.90

5.84

5.59

5.53

5.65

5.96

6.09

6.48

6.06

6.00

S.88

5.76

5.39

5.27

4.67

4.45

4.45

<*.76

5.13

5.61

6.03

6.03

6.03

6.03

5.97

5.85

5.61

4.88

4.82

4.16

4.10

4.2?

4.04

4.10

4.34

4.22

4.22

4.16

4.28

4.34

4.40

5.00

0

7PA

5 . 3

5 . 1

5 . 3

5 . 8

6 . 0

6 . 3

6 . 4

6 . 4

6 . 5

6 . 5

6 . 5

6 . 4

6 . 5

6 . 4

6 . 6

6 . 6

6 . 4

5 . 9

5 . 8

5 . 6

5 . 5

5 . 6

5 . 9

6 . 1

6 . 5

6 . 1

6 . 0

5 . 9

5 . 8

5 . 4

5 . 2

4 . 7

4 . 4

4. 4

4 . 8

5 . 1

5 . 6

6 . 0

6 . 0

6 . 0

6 . 0

6 . 0

5 . 8

5 . 6

4 . 9

4 . 8

4 . 2

4 . 1

4 . 2

4 . 0

4 . 1

4 . 3

4 . 2

4 . 2

4 . 2

4 . 3

4 . 3

4 . 4

5 . 0

log P.

-13.77

. 7 9

. 7 7

. 7 4

. 7 2

. 7 0

. 7 0

. 7 0

. 7 0

. 7 0

. 7 0

. 7 0

. 7 0

. 7 0

. 6 9

. 6 8

. 7 0

. 7 3

. 7 3

. 7 4

. 7 5

. 7 4

. 7 2

. 7 0

. 6 7

. 7 0

. 7 0

. 7 1

.7 2

. 7 5

. 7 7

. 8 1

-13.83

. 8 3

. 7 9

. 7 6

. 7 2

. 6 9

. 6 9

. 6 9

. 6 9

. 6 9

. 7 1

. 7 2

. 7 8

. 7 9

. 8 5

. 8 6

. 8 6

. 8 8

. 8 7

. 8 5

. 8 6

. 8 6

. 8 6

. 8 5

. 8 5

. 8 4

. 7 9

logpt

-13.81

. 8 2

. 7 9

. 7 4

. 7 2

. 6 9

. 6 8

. 6 7

. 6 5

. 6 5

. 6 4

. 6 5

. 6 4

. 6 5

. 6 3

. 6 4

. 6 5

. 6 9

. 7 0

. 7 2

. 7 4

. 7 3

. 7 1

. 7 0

. 6 8

. 7 1

.72

.73

. 7 3

. 7 7

. 7 8

. 8 2

-13.88

. 8 3

. 8 5

. 8 3

. 7 9

. 7 6

. 7 6

. 7 6

. 7 6

. 7 5

. 7 6

. 7 7

. 8 2

. 8 2

. 8 7

. 8 7

. 8 4

. 8 6

. 8 4

. 8 1

. 8 1

. 8 0

. 8 0

. 7 9

. 7 9

. 7 8

. 7 2

T,

(°K)

1297

1286

1321

1396

1437

1495

1526

1543

1573

1586

1596

1587

1607

1592

1622

1616

1577

1493

1470

1433

1411

1417

1449

1470

1518

1459

1443

1428

1414

1363

1339

1278

1212

1206

1245

1273

1325

1368

1368

1370

1375

1382

1369

1357

1286

1287

1228

1228

1254

1240

1265

1304

1299

1307

1313

1331

1332

1345

1432

z

(km)

349.6

351.0

352.4

353.3

355. 3

356.7

358.0

359. 2

360.2

361.0

361.5

361.8

361.9

361.7

361.4

360.3

360. i

359.3

358.4

357.6

356. 7

355.9

355.1

354.5

354.0

353.6

353.3

353.2

353.1

353.1

353.2

353.2

349.3

348.5

347.9

347.3

346.9

346.6

346.6

346.7

347.1

347.7

348.5

349.5

350.7

352.0

353.4

354.9

356.3

357.8

359.1

360.2

361.2

361.9

362.5

362.7

3b2.8

362.6

362.2

(deg.)

126.7

127. 1

127.8

128.7

129.9

131.3

133.0

135.0

137.2

139.6

142.1

144.5

146.8

149.0

150.9

152.5

153.ft

154.9

155.6

156.2

156.6

156.8

156.8

156.9

156.9

156.9

157.0

157.2

157.6

159.2

159.0

160.0

181.8

183.0

184.1

184.8

185.4

185.8

186.0

186.1

186.1

186.2

186.2

186.4

186.6

187.1

187.7

188.6

189.8

191.2

193.0

195.0

197.3

199.7

202.2

204.6

207.0

209.2

211.1

(deg.)

118.2

116.7

115.4

114.2

113.3

112.6

112.3

112.3

112.6

113.3

114.4

115.7

117.4

119.4

121.6

124. I

126.7

129.5

132.3

135.3

138.2

141.2

144.0

146.8

149.4

151.8

154.0

156.0

157.8

159.3

160.6

161.7

175.7

176.8

176.1

174.0

171.2

166.2

165.1

161.8

158.4

155.0

151.5

148.1

144.8

141.6

138.5

135.6

132.9

130.5

128.3

126.5

125.0

123.8

123.0

122.7

122.6

123.0

123.7

fee

(deg.)

91.8

91.0

90.4

90.0

89.8

90.0

90.5

91.2

92.3

93.6

95.2

97.0

99.0

101.2

103.4

105.8

108.1

110.4

112.7

115.0

117.1

119.1

121.1

122.9

124.6

126.1

127.6

129.1

130.4

131.8

133.2

134.7

154.2

155.3

156.0

156.2

155.7

154.7

153.1

151.2

148.8

146.4

143.7

141.1

138.5

136.0

133.8

131.7

129.9

128.4

127.2

126.5

126.1

126.2

126.6

127.5

128.7

130.4

132.4
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 4 3

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD -107

P 107P,

36696.0

97.0

98.0

99.0

36600.0

01.0

02.0

03.0

OA.O

05.0

06.0

07.0

08.0

09.0

10.0

11.0

12.0

13.0

IA.0

15.0

16.0

17.0

18.0

19.0

20.0

21.0

22.0

23.0

2A.0

25.0

26.0

27.0

28.0

29.0

36630.0

32.0

3A.0

36.0

38.0

AO. 0

A2.0

AA.O

A6.0

A8.0

36650.0

51.0

52.0

36653.0

53.2

53.5

53.7

5A.0

5A.2

5A.5

5A.7

5.13

5.37

5.A3

5.5A

5.09

A.7A

5.19

5.73

5.83

5.29

A.87

A.A5

A.A5

A. 57

A.67

A.85

A.55

A.35

A.86

5.23

A.9 *

A. 30

3.85

3.86

3.89

3.97

A.06

A.07

A.82

5.AA

5.59

5.55

5.17

A.95

A.7

A.5

A.3

A. 1

A.O

A . I

A.2

A.3

A.5

A.8

5.10

5.18

5.39

5.5A

6.22

6.22

7.17

8.13

12.97

11.06

7.23

-107PA

5 . 1

5 . A

5 . A

5.5

5 . 1

A . 7

5 . 2

5 . 7

5.8

5 . ?

A . 9

A . A

* . A

* . 6

A . 7

A . 8

A . 6

A . A

A . 9

5.2

A . 9

A . 3

3 . 8

3 . 9

3 . 9

A.O

A . I

A . I

A . *

5 . A

5 . 6

5 . 6

5 . 2

5 . 0

A . 7

A . 5

A . ^

A . I

A.O

A . I

A . 2

A. 3

A . 5

A . 8

5 . 1

5 . 2

5.A

5.5

6 . 2

6 . 2

7.2

8 . 1

13.0

11.1

7.2

logp.

-13.78

. 7 5

. 7 5

.7A

. 7 7

. 8 0

. 7 6

. 7 2

. 7 1

. 7 5

. 7 8

. 8 3

. S 3

. 8 1

. 8 0

. 7 9

. 8 1

. 8 3

. 7 9

. 7 6

. 7 9

. 8 5

. 9 0

. 8 9

. 8 9

. 8 8

. 8 7

. 8 7

. 8 0

. 7 5

. 7 3

. 7 3

. 7 6

. 7 8

-13.80

. 8 2

.85

. 8 7

. 8 9

. 8 8

. 8 8

. 8 7

. 8 5

. 8 2

-13.79

. 7 8

. 7 7

-13.76

. 7 1

. 7 0

. 6 A

. 5 9

. 3 8

. A 5

. 6 A

log p8

-13.72

. 7 0

. 7 0

. 7 0

. 7 A

. 7 8

. 7 5

. 7 1

. 7 1

. 7 5

. 7 9

. 8 A

. B A

. 8 2

. 8 2

. 8 2

. ) 3

- H 5

. 8 0

. 7 7

. 8 0

. 8 5

. 9 1

. 9 0

. 9 0

. 8 9

. 8 8

.88

. 8 2

. 7 7

. 7 6

. 7 6

. 7 9

. 8 1

-13.83

. 8 A

. 8 5

. 8 6

. 8 6

.84

. 8 2

. 8 1

. 7 9

.78

-13.77

. 7 6

. 7 6

-13.76

. 7 1

. 7 1

. 6 5

. 6 0

. 3 9

• A6

. 6 5

T,

(°K)

1AAI

IA79

1A68

IA72

IA01

1336

139 5

1A55

IA60

138A

1326

1260

1257

1280

1291

1286

1266

12A5

1309

13A9

131A

12AI

1181

1192

1191

1201

1210

1207

1286

1356

1377

1375

1325

1302

1269

1253

12A2

1232

1235

1262

128A

1299

1320

13A5

1363

136 A

1377

1376

1A63

IA60

1592

1719

2587

2208

1575

z

(km)

361.6

360.9

360.0

359.1

358.2

357.3

356.5

355.7

355.1

35A.5

35A.1

353.8

353.6

353.6

353.5

352.1

352.5

352.9

353.3

353.7

353.9

35A.1

35A.2

35A.1

353.9

353.6

353.3

352.9

352.5

352.1

351.8

351.5

351.A

351.5

351.7

352.6

35A.1

356.1

358.3

360.2

361.5

362.1

361.7

360.A

358.5

357.A

356.2

355.1

35A.8

35A.5

35A.3

35A.0

353.7

353.5

353.2

or-o0

(deg.)

212.8

21A.2

215.3

216.1

216.7

217.1

217.A

217.6

217.7

217.8

217.9

218.2

213.5

219.0

219.8

220.7

222.0

223.5

225.A

227.A

229.8

232.2

23A.7

237.2

239.6

2A1.8

2A3.8

2A5.A

2A6.8

247.9

2A8.8

2A9.A

2A9.9

250.2

2 50.5

250.9

251.A

252.6

25A.6

257.7

262.0

267.1

272.A

277.1

280.8

282.2

283.3

2 8A.2

28A.A

28A. 5

28A.7

28A.8

2 85.0

285.1

285.2

ft

(deg.)

12A.8

126.1

127.7

129.5

131.A

133.A

135.5

137.A

139.1

LAO. 6

IA1. 8

IA2.5

1A2.7

142.A

IA1.6

1A0.5

138.9

137.0

13A.9

132.6

130.3

128.0

125.7

123.5

121.A

119.5

117.8

116.3

11A.9

113.H

112.8

ill. 9

111.1

110.5

109.8

108.6

107.1

105.0

102. A

99.2

95.A

91.5

87.5

83.8

80.6

79.2

78.0

77.0

76.8

76.6

76.A

76.2

76.0

75.8

75.6

(deg.)

13A. 8

137.5

1A0.A

IA3.6

1A7.0

150.5

154.1

157.8

161.4

164.9

168.1

170.5

171.6

171.0

169.0

166.A

163.6

160.7

157.9

155.3

152.9

150.7

1A8.7

IA7.0

1A5.6

1AA.A

IA3.A

1A2.6

1A2.0

1A1.6

IA1.2

1A0.9

1A0.5

1A0.1

139.6

138.0

135.7

132.A

128.6

12A.3

120.0

116.0

112.A

109.6

107.5

106.8

106.2

105.7

105.6

105.5

105.A

105.3

105.2

105.1

105.0

36655.0 7.23 7.2 -13.6A -13.65 1571 353.0 285.3 75.A 10A.9
4 4 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. *

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD -107

P 107P,,

36656.0

57.0

58.0

59.0

60.0

61.0

62.0

63.0

64.0

65.0

66.0

67.0

36668.0

70.0

72.0

74.0

76.0

78.0

80.0

82.0

84.0

86.0

88.0

90.0

92.0

94.0

96.0

98.0

36700.0

02.0

04.0

06.0

08.0

10.0

12.0

36714.0

15.0

16.0

17.0

13.0

19.0

20.0

21.0

22.0

23.0

24.0

25.0

26.0

27.0

28.0

29.0

30.0

31.0

32.0

33.0

34.0

35.0

36.0

5.44

5.38

5.38

5.38

5.56

5.62

5.56

4.96

4.66

5.26

5.44

6.04

6 . 4

6 . 3

6 . 3

6 . 4

6 . 6

6 . 7

6 . 6

7 . 0

7 . 6

7 . 5

7 . 1

6 . 5

5 . 9

5 . 6

5 . 8

6 . 2

fc.8

6 . 9

7 . C

7 . 1

7 . 0

7 . 0

6 . 9

6.8O

6.27

5.85

5.30

5.23

5.34

5.68

5.97

6.13

6.13

5.76

5.87

6.10

6.26

6.38

6.49

6.71

6.71

6.64

6.75

6.74

6.91

7.13

10'PA

S . 4

5 . 4

5 . 4

5 . 4

5 . 6

5 . 6

5 . 6

5 . 0

4 . 7

5 . 3

5 . 4

6 . 0

6 . 4

6 . 3

6 . 3

6 . 4

6 . 6

6 . 7

6 . 6

7 . 0

7 . 6

7 . 5

7. 1

6 . 5

5 . 9

5 . 6

5 . 8

6 . 2

6 . P

6 . 0

7 . C

7 . 1

7 . 0

7 . 0

6 . 9

6 . 8

6 . 3

5 . 8

5 . 3

5 . 2

5 . 3

5 . 7

6 . 0

6 . 1

6 . 1

5 . 8

5 . 9

6 . 1

6 . 3

6 . 4

6 . 5

6 . 7

6 . 7

6 . 6

6 . 7

6 . 7

6 . 9

7 . 1

logp.

-)3.7 6

. 7 6

. 7 6

. 7 6

. 7 5

. 7 5

. 7 5

. 8 0

. 8 3

. 7 8

. 7 8

. 7 3

-13.71

. 7 2

. 7 2

. 7 2

. 7 0

. 6 9

. 6 9

. 6 6

. 6 3

. 6 3

. 6 6

. 7 0

. 7 4

. 7 7

. 7 6

. 7 3

. 6 9

. 6 9

. 6 8

. 6 7

. 6 7

. 6 7

. 6 7

-13.68

. 7 2

. 7 5

. 7 9

. 8 0

. 7 9

. 7 6

. 7 4

. 7 3

. 7 3

. 7 6

. 7 5

. 7 3

. 7 2

. 7 1

. 7 0

. 6 9

. 6 9

. 6 9

. 6 9

. 6 9

. 6 7

. 6 6

lOgp8

-13.7 9

. 7 9

. 8 0

. 8 0

. 7T

. 7 9

. 7 9

. 8 4

. 8 6

. 8 1

. 8 0

. 7 5

-13.72

. 7 3

. 7 3

. 7 3

. 7 ?

. 12

. 7 2

. 6 9

. 6 5

. 6 5

. 6 6

. 6 9

. 7 2

. 7 3

. 7 1

. 6 9

. 6 5

. 6 6

. 6 7

. 6 8

. 7 0

. 7 1

. 7 2

-13.7 3

. 7 4

. 7 8

. 6 2

. 8 2

. 8 1

. 7 3

. 7 5

. 7 4

. 7 4

. 7 6

. 7 6

. 7 4

. 7 3

. 7 3

. 7 2

. 7 1

. 7 1

. 7 2

. 7 2

. 7 2

. 7 1

. 6 9

i .

1332

1324

1317

1312

1332

1330

1329

126 3

1231

1298

1311

1382

1430

1419

1416

1423

1441

1448

1435

1487

1575

1583

1557

1504

1447

1422

1456

1506

1573

1556

1536

1517

1478

1460

1439

1425

1396

1343

1290

1283

1297

1346

1383

1398

1399

1364

1375

1397

1418

142 7

1435

1455

1450

143 5

1444

1442

1466

1491

(km)

35?.1

351.4

350.9

3 50.6

350.4

350.4

350.6

350.9

351.3

351.7

352.2

352.7

353.1

353.6

353.7

353.4

352.7

351.9

351.2

351.0

351.4

352.5

354.2

356.2

358.3

360.0

361.0

361.1

360.2

358.5

356.3

353.9

351.6

349.8

348.8

348.4

350.9

351.2

351.6

352.1

352.5

353.0

353.4

353.6

353.8

353.9

353.3

353.6

353.3

352.9

352.4

351.9

351.3

350.9

350.5

350.3

350. 1

350.2

(de^)

285. 6

285.9

2 86.1

2H6.4

286.6

287.0

287.6

288.3

289.2

290.5

292.0

293.8

295.8

300.6

305.8

310.6

314. 5

317.3

319.0

319.9

320.4

320.8

321.5

322.8

325.2

328.7

333.3

338.5

343.6

347.8

350.9

352.9

353.9

354.4

354.7

355.2

355.4

356.0

356.9

358.0

359.4

1.1

3 . 0

5 . 2

7 . 6

10.2

12.7

15.1

17.4

19.4

21.1

22.6

23.7

24.6

25. 3

25.7

26.0

26.2

(deg.)

74.8

74. 3

73.8

73.4

72.9

72.4

71.7

70.9

69.9

68.7

67.3

65.8

64.0

59.9

55.3

50.4

45.9

42.2

40.0

39.5

40.9

43.6

47.0

50.4

53.3

55.1

55.6

54.6

52.1

48.3

43.3

37.4

30.9

24.0

17.1

10.5

7 . 5

4 . 8

2 . 9

3 . 2

5 . 0

7 . 1

9 . 1

10.9

12.6

14.0

15.3

16.5

17.5

18.6

19.6

20.7

21.9

23.4

25.0

26.9

29.0

31.4

(di)

104.6

104.2

103.8

103.2

102.5

101.6

100.5

99.2

97.7

95.9

94.0

91.9

89.7

85.0

80.3

76.0

72.4

69.9

68.7

68.8

69.8

71.5

73.2

74.6

75.3

74.9

73.3

70.5

66.7

62.1

57.0

51.8

46.7

42.0

38.0

34.6

33.4

32.0

30.fl

29.6

28.3

27.0

25.6

24.1

22.4

20.5

18.5

16.3

14.0

11.5

9 . 1

7 . 0

5 . 9

6 . 6

8 . 8

11.9

15.3

18.9
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 4 5

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD -10TP 10'P, -107PA logp, log p. T,

(km) (deg.) (deg.) (deg.)

36737.0

38.0

39.0

40.0

41.0

42.0

43.0

44.0

45.0

46.0

47.0

48.0

49.0

50.0

5 1.0

52.0

53.0

54.0

55.0

56.0

57.0

58.0

59.0

60.0

61.0

62.0

63.0

64.0

65.0

66.0

67.0

68.0

69.0

70.0

71.0

72.0

73.0

74.0

75.0

76.0

77.0

78.0

79.0

80.0

81.0

82.0

83.0

84.0

85.0

86.0

87.0

88.0

89.0

90.0

91.0

92.0

93.0

94.0

95.0

96.0

6.94

6.93

6.68

6.6 1

6.54

6.41

6.28

6.21

5.90

5.43

6.42

6.69

6.15

5.37

4.96

4 .94

4.94

4.99

A.99

5.45

5.44

5.32

5.61

6.12

6.11

6.11

6.23

7.29

8.23

7.76

7.48

7.13

6.78

6.14

5.62

5.63

5.63

5.64

5.71

5.25

5.08

4.98

4.99

4.82

5.08

5.44

5.27

4.99

5.00

5.14

5.49

5.19

4.89

'•.89

4.70

4.29

4.40

4.68

4.84

5.07

6.9

6.9

6.7

6.6

6.5

6.4

6.3

6.2

5.9

5.4

6.4

6.7

6.2

5.A

5.0

4.9

4.9

5.0

5.0

5.5

5.4

5.3

5.6

6.1

6. 1

6.1

6.2

7.3

8.2

7.3

7.5

7.1

6.8

6.1

5.6

5.6

5.6

5.6

5.7

5.3

5.1

5.0

5.0

4.8

5.1

5.4

5.3

5.0

5.0

5.1

5.5

5.2

4.9

4.9

4.7

4.3

4.4

4.7

4.8

5.1

13.67

.67

.69

.69

.70

.71

.72

.72

.75

.78

.71

.69

.72

.78

.82

.83

.82

.82

.81

.77

.78

.79

.76

.72

.72

.72

.72

.65

.60

.62

.64

.66

.69

.73

.77

.78

.78

.78

.77

.80

.82

.83

.83

.85

.82

.79

.80

.82

.82

.81

.78

.80

.83

.83

.85

.89

.88

.85

.85

.82

-13.70

.70

.71

.71

.71

.71

.71

.71

.73

.76

.68

.66

.69

.74

.78

.79

.79

.78

.79

.75

.77

.78

.77

.74

.74

.75

.74

.67

.63

.65

.67

.69

.71

.75

.79

.79

.78

.78

.77

.80

.82

.83

.83

.85

.83

.80

.81

.84

.84

.84

.81

.84

.86

.86

.88

.91

.90

.86

.85

.81

1470

1475

1458

1454

1452

1451

1451

1451

1424

1371

1516

1570

1505

1398

1346

1331

1327

1334

1327

1380

1358

1335

1361

1412

1402

1394

1399

1528

1640

1585

1546

1497

1463

138 3

1329

1332

1334

1337

1350

1306

1283

1272

1270

1246

1277

1307

1293

1257

1255

1257

1297

1264

1233

1234

1216

1179

1194

1233

1252

1295

350.4

350.9

351.5

352.3

353.2

354.2

355.2

356.3

357.3

358.3

359.1

359.8

360.2

360.4

360.4

360.2

359.8

359.1

358.3

357.4

356.4

355.4

354.4

353.5

352.6

352.0

351.4

351.1

350.9

351.0

351.2

351.5

351.9

352.4

353.0

353.5

354.0

354.4

354.7

354.9

354.9

354.8

354.6

354.3

353.9

353.4

353.0

352.5

352.2

351.1

350.8

350.7

350.8

351.1

351.6

352.3

353.1

354.1

355.2

356.3

26.3

26.4

26.6

26.8

27.2

27.8

28.6

29.6

31.0

32.6

34.6

36.8

39.2

41.8

44.4

47.0

49.3

51.5

53.4

54.9

56.2

57.2

57.9

58.4

58.8

59.0

59.2

59.3

59.4

59.7

60.0

60.6

61.3

63.6

65.2

67.1

69.2

71.6

74.1

76.7

79.3

81.7

83.9

85.8

87.5

88.8

89.9

90.7

91.3

91.8

92.1

92.3

92.5

92.8

93.1

93.5

94.1

94.9

96.0

33.9

36.7

39.6

42.6

45.7

48.8

51.8

54.8

57.4

60.5

63.0

65.3

67.3

69.0

70.4

71.4

72.0

72.2

72.1

71.6

70.9

69.8

68.5

67.1

65.5

63.9

62.3

60.8

59.5

58.4

57.6

57.2

57.1

57.5

58.2

59.3

60.8

62.5

64.4

66.6

68.8

71.1

73.4

75.7

77.9

80.1

82.1

84.0

85.7

87.3

88.8

90.2

91.5

92.8

94.0

95.2

96.5

97.8

99.2

100.7

22. 6

26.3

30.0

33.7

37.2

40.6

43.8

46.7

49.4

51.7

53.8

55.4

56.6

57.5

57.9

57.8

57.4

56.5

55.3

53.7

51.8

49.6

47.2

44.7

42.0

39.4

36.9

34.5

32.5

30.9

29.8

29.2

29.3

30.0

31.2

32.9

34.8

37.0

39.2

41.5

43.8

46.0

48.0

50.0

51.8

53.5

55.0

56.4

57.8

59.0

60.3

61.5

62.8

64.1

65.5

67.0

68.6

70.3

72.2

74.2
46

TABLE 5.—Accele

Satellite 1958 Alf

MJD

36797.0

98.0

99.0

36800.0

01.0

02.0

0 3.0

04.0

05.0

06.0

07.0

08.0

09.0

10.0

11.0

12.0

13.0

14.0

15.0

16.0

17.0

18.0

19.0

20.0

21.0

22.0

23.0

24.0

25.0

26.0

27.0

28.0

29.0

30.0

31.0

32.0

33.0

34.0

35.0

36.0

37.0

38.0

39.0

40.0

41.0

42.0

43.0

44.0

45.0

46.0

47.0

48.0

49.0

50.0

36865.0

66.0

67.0

68.0

69.0

SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. S

ration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

jha

-10 7 P 107

4.89

4.46

4.16

3.97

4.18

4.30

4.46

4.74

4.78

4.76

4.51

4.44

4.48

5.11

5.39

5.66

5.71

5.86

6.03

5.49

4.96

4.30

3.94

3.99

4.15

4.19

4.06

4.06

4.09

4.02

3.89

4.23

4.62

5.01

4.93

4.86

4.55

4.41

4.91

5.59

4.93

4.38

4.24

4.21

4.24

4.26

4.29

4.32

4.47

4.44

3.93

3.44

2.93

2.55

3.70

3.66

3.87

3.77

3.57

P , -10 7P A

4 . 9

4 . 5

4 . 2

4 . 0

4 . 2

4 . 3

4 . 5

4 . 7

4 . 8

4 . 8

4 . 5

4 . 4

4 . 5

5 . 1

5 . 4

5 . 7

5 . 7

5 . 9

6 . 0

5 . 5

5 . 0

4 . 3

3 . 9

4 . 0

4 . 2

4 . 2

4 . 1

4 . I

4 . 1

4 . 0

3 . 9

4 . ?

4 . 6

5 . 0

4 . 9

4 . 9

4 . 5

4 . 4

4 . 9

5 . 6

4 . 9

4 . 4

4 . 2

4 . 2

4 . 2

4 . 3

4 . 3

4 . 3

4 . 5

4 . 4

3 . 9

3 . 4

2 . 9

2 . 5

3 . 7

3 . 7

3 . 9

3 . 8

3 . 6

log P.

-13.84

. 8 8

. 9 1

. 9 3

. 9 1

. 9 0

. 8 8

. 8 5

. 8 4

. 8 4

. 8 6

. 8 7

. 8 6

. 8 0

. 7 7

. 7 5

. 7 5

. 7 3

. 7 2

. 7 6

. 8 0

. 8 7

. 9 1

. 9 0

. 8 8

. 8 9

. 9 0

. 9 0

. 9 0

. 9 1

. 9 2

. 8 9

. 8 5

. 8 1

. 8 1

. 8 1

. 8 5

. 8 5

. 8 0

. 7 4

. 8 0

. 8 4

. 8 6

. 8 6

. 8 6

. 8 5

. 8 5

. 8 5

. 8 3

. 8 4

. 9 0

. 9 6

-14.03

. 0 9

-13.91

. 9 1

. 8 9

. 9 0

. 9 2

log P.

-13.82

. 8 5

. 8 7

. 8 9

. 8 6

. 8 5

. 8 2

. 8 0

. 7 9

. 7 9

. 8 2

. 8 4

. 8 3

. 7 8

. 7 6

. 7 4

. 7 5

. 7 4

. 7 4

. 7 8

. 8 2

. 8 9

. 9 3

. 9 2

. 9 0

. 9 0

. 9 0

. 9 0

. 9 0

. 9 1

. 9 2

. 8 9

. 8 5

. 8 1

.62

. 8 3

. 8 7

. 8 8

. 3 4

. 7 8

. 8 4

. 8 9

. 9 1

. 9 2

. 9 1

. 9 0

. 9 0

. 8 9

. 8 7

. 3 7

. 9 2

. 9 7

-14.03

. 0 9

-13.95

. 9 5

. 9 3

. 9 5

. 9 7

T.

(°K)

128 2

1245

1219

1203

1234

1252

1281

1310

1324

1322

1281

1264

1271

1338

1368

1397

1389

140 6

1412

1346

128 4

120 4

1159

1171

119 4

1195

1186

11*8

1190

1180

1170

1204

1249

1294

1280

1276

1227

1212

1263

1337

1254

1198

1175

1174

1175

1188

1192

1197

1225

1221

1173

1122

1070

1027

1144

1140

1158

1144

1120

z

(km)

357.5

358.5

359.5

360.3

360.9

361.3

361.5

361.5

361.2

360.7

360.1

359.3

358.4

357.5

356.5

355.7

354.e

354.2

353.6

353.2

353.0

352.9

353.0

353.2

353.5

353.8

354.2

354.5

354.8

355.0

355.1

355.0

3 54.3

354.4

353.9

353.3

35?. 6

351.8

351.0

350.3

349.7

349. 1

348.7

343.5

34H.6

348.8

349.2

349.8

350.6

351.5

352.5

353.6

354.6

355.6

351.1

350.4

349.8

349.4

349.2

a.-ao

(deg.)

97.4

99.1

101.I

103.3

105.8

108.5

111.3

114.0

116.5

118.9

121.0

122.7

124.2

125.4

126.2

126.9

127.4

127.8

128.0

128.3

128.6

128.9

129.3

130.0

130.8

131.8

133.2

134.9

136.8

139.1

141.6

144.2

146.9

149.6

152.1

154.5

156.5

158.3

159.8

160.9

161.8

162.5

163.0

163.4

163.7

164.0

164.2

164.6

165.1

165.7

166.6

167.7

169.1

170.8

199.0

199.4

199.6

199.8

200.0

(deg.)

102.4

104.1

105.9

107.9

109.9

112.0

114.1

116.2

118.3

120. 3

122.1

123.7

125.1

126.3

127.2

127.8

128.1

128.2

128.0

127.7

127.3

126.8

126.3

125.9

125.6

125.6

125.7

126.1

126.8

127.8

129.2

130.8

132.8

135.0

137.6

140.3

143.3

146.4

149.6

152.8

155.9

158.8

161.2

162.9

163.7

16 3.4

162.2

160.2

157.3

155.2

152.5

149.9

147.4

145.2

151.9

154.1

156.1

157.8

159.1

(deg.)

76.3

78.5

80.7

82.9

85.1

87.2

89.3

91.2

92.9

94.4

95.7

96.8

97.6

96.2

98.5

98.7

98.6

98.5

98.3

98.0

97.8

97.7

97.7

97.9

98.3

99.0

99.9

101.1

102.6

104.*

106.4

108.6

110.9

113.4

116.0

118.6

121.2

123.7

126.0

128.1

130.0

131.*

132.6

133.4

133.7

133.8

133.5

133.0

132.4

131.7

130.9

130.3

129.7

129.4

156.6

159.7

162.7

165.5

168.0
N0. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 4 7

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD

36870.0

71.0

72.0

73.0

74.0

75.0

76.0

77.0

36887.0

88.0

89.0

90.0

91.0

92.0

93.0

94.0

95.0

96.0

97.0

98.0

99.0

56900.0

01.0

02.0

03.0

04.0

05.0

06.0

07.0

08.0

09.0

10.0

11.0

12.0

13.0

14.0

15.0

16.0

17.0

18.0

19.0

20.C

21.0

22.0

23.0

24.0

25.0

26.0

27.0

28.0

29.0

30.0

31.0

32.0

33.0

34.0

35.0

36.0

37. C

677-550 O

-10'P

3.48

3.45

3.70

5.02

4.76

4.10

3.63

3.37

3.09

3.88

3.70

3.86

3.86

3.32

3.38

3.32

3.66

3.41

3.52

3.29

3.63

4.02

4.07

3.66

3.48

3.60

4.00

4.23

3.70

3.53

3.52

3.24

3.45

3.57

3.58

3.58

3.36

3.41

3.25

3.19

3.09

2.81

2.60

2.61

2.23

2.42

3.02

3.39

3.41

3.61

3.81

3.84

3.47

3.04

3.07

3.40

4.01

4.39

4.60

-63- 4

1 0 7P» -107

P A

3 . 5

3 . 4

3 . 7

5 . 0

4 . 8

4 . 1

3 . 6

3 . 4

3 . 1

3 . 9

3 . 7

3 . 9

3 . 9

3 . 3

3 . 4

3 . 3

3 . 7

3 . 4

3 . 5

3 . 3

3 . 6

4 . 0

4 . 1

3 . 7

3 . 5

3 . 6

4 . 0

4 . 2

3 . 7

3 . 5

3 . 5

3 . 2

3 . 5

3 . 6

3 . 6

3 . 6

3 . 4

3 . 4

3 . 2

3 . 2

3 . 1

2 . 8

2 . 6

2 . 6

2 . 2

2 . 4

3 . 0

3 . 4

3 . 4

3 . 6

3 . 8

3 . 8

3 . 5

3 . 0

3 . 1

3 . 4

4 . 0

4 . 4

4 . 6

logp.

-13.9 3

. 9 5

. 9 1

. 7 8

. 8 0

. 8 7

. 9 3

. 9 5

-13.99

. 8 9

. 9 1

. 8 9

. 8 9

. 9 6

. 9 5

. 9 6

. 9 1

. 9 5

. 9 4

. 9 7

. 9 4

. 8 9

. 8 8

. 9 3

. 9 6

. 9 5

. 9 0

. 8 8

. 9 4

. 9 6

. 9 6

-14.00

-13.96

. 9 4

. 9 4

. 9 4

. 9 6

. 9 6

. 9 8

. 9 8

. 9 9

-14.04

. 0 7

. 0 7

. 1 4

. 1 1

. 0 1

-13.96

. 9 6

. 9 4

. 9 2

. 9 2

. 9 6

-14.03

. 0 1

-13.98

. 9 1

. 8 7

. 8 5

logpg

-13.

-14.

-13 .

•

*

•

•

*

-14.

-13.

•

•

*

-14.

•

•

-13 .

•

m

m

m

9

•

•

•

•

•

•

•

•

•

•

•

m

m

•

-14 .

-13 .

-14.

•

•

-13 .

•

98

0 0

96

3 3

84

91

97

99

04

95

97

9 5

95

0 2

00

01

96

9 9

97

99

94

89

87

91

93

91

86

84

89

92

92

97

9 3

93

94

94

98

98

02

02

04

09

13

13

20

16

06

01

01

98

96

9 6

00

06

05

02

95

91

90

T.

(°K)

1108

1098

1131

1275

1255

1177

1124

1104

1060

1144

1121

1142

1142

1080

1093

1085

1134

1106

1124

1103

1149

1204

1225

1183

1164

1181

1234

1262

1197

1170

1166

1124

1155

1160

1153

1145

1115

1109

1081

1076

1061

1025

1002

1001

957

9 7 8

1044

1087

1088

1110

1132

1131

1099

1044

1052

1081

1140

1176

1192

z

(km)

349.1

349.2

349.4

349.7

350.0

350.0

350.3

350.6

348.8

348.5

348.2

348.0

348.1

348.3

348.7

349.3

350.0

351.0

352.1

353.2

354.4

355.7

356.8

357.9

358.8

359.5

359.9

360.1

360.1

359.8

359.2

358.5

357.5

356.4

355.3

354.1

352.9

351.8

350.8

349.9

349.3

348.8

348.5

348.3

348.4

348.6

348.9

349.2

349.6

349.9

350.2

350.4

350.5

350.5

350.4

350.1

349.8

349.4

348.9

a,-ae

(cleg.)

200.3

200.8

201.4

202.2

203.3

204.7

206.4

208.4

230.2

231.1

231.8

232.3

232.6

2 32.8

2 32.9

233.0

233.2

233.4

233.8

234.3

235.1

236.1

237.5

239.1

241.1

243.3

245.8

248.4

251.0

253.5

255.8

257.9

259.7

261.2

262.3

263.2

263.8

264.2

264.5

264.6

264.7

264.8

2 64.9

265.1

265.4

266.0

266.8

267.9

269.3

271.0

2 73.0

275.2

277.7

280.2

2 82.7

285.1

287.3

289.2

290.9

(deg.)

159.8

159.8

159.2

158.0

156.4

154.4

152.3

150.1

133.0

131.3

130.6

129.4

128.1

126.7

125.1

123.3

121.4

119.3

117.1

114.6

112.1

109.5

106.9

104.2

101.6

99. 1

96.7

94.6

92.7

91.0

89.8

88.8

88.3

88. I

88.3

88.8

89.6

90.7

92.0

93.4

94.8

96.3

97.7

98.9

99.9

100.7

101.1

101.2

101.0

100.4

99.4

98.1

96.5

94.6

92.5

90.3

87.9

85.5

83.1

(deg.)

169.9

171.0

171.2

170.5

169.3

167.9

166.5

165.2

160.7

160.0

159.0

157.6

155.7

153.5

151.0

148.1

145.1

141.9

138.6

135.2

131.9

128.7

125.6

122.7

120.0

117.6

115.4

113.7

112.3

111.3

110.7

110.5

110.8

111.4

112.3

113.5

115.0

116.7

118.4

120.2

122.0

123.7

125.1

126.3

127.2

127.7

127.8

127.4

126.7

125.6

124.2

122.4

120.5

118.5

116.3

114.1

111.9

109.8

107.7
4 8 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

 VOL

- •

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD -107P 107PR

36938.0

39.0

40.0

41.0

42.0

43.0

44.0

45.0

46.0

47.0

48.0

49.0

50.0

51.0

5 2.0

53.0

54.0

55.0

56.0

57.0

58.0

59.0

6 0.0

61.0

62.0

63.0

64.0

65.0

66.0

67.0

68.0

69.0

70.0

71.0

72.0

73.0

74.0

75.0

76.0

77.0

78.0

79.0

80.0

81.0

82.0

83.0

84.0

85.0

86.0

87.0

88.0

89.0

90.0

91.0

92.0

93.0

94.0

95.0

96.0

97.0

4.70

5.21

5.43

5.01

4.70

4.23

4.22

4. 14

3.95

3.38

3.93

3.86

3.73

4.23

3.82

3.58

4.26

4.46

4.36

4.36

5.92

4.84

5.49

6.36

6.33

6.46

6.42

7.01

7.09

7.69

7.54

7.34

7.94

5.13

4.99

5.37

5.18

4.77

4.47

4.34

4.33

4.14

3.84

4.24

4.87

4.75

4.41

4.52

4.59

4.42

4.31

4.37

5.18

5.99

5.88

5.77

5.50

5.34

5.52

5.63

0

7 P A

4 . 7

5.2

5 . 4

5 . 0

4 . 7

4 . 2

4 . 2

4. I

4 . 0

3 . 9

3 . 9

3 . 9

3 . 7

4 . 2

3 . 8

3.6

4 . 3

4 . 5

4 . 4

4 . 4

5.9

4 . 8

5.5

6 . 4

6 . 3

6 . 5

6 . 4

7 . 0

7 . 1

7 . 7

7.5

7 . 3

7 . 9

5.2

5 . 0

5 . 4

5 . 2

4 . 8

4 . 5

4 . 3

4 . 3

4 . 1

3 . 8

4 . 2

4 . 9

4 . 8

4 . 4

4 . 5

4 . 6

4 . 4

4 . 3

4 . 4

5 . 2

6 . 0

5 . 9

5 . 8

5 . 5

5 . 3

5.5

5 . 6

log P.

-13.84

. 7 9

. 7 8

. 8 1

. 8 4

. 8 9

. 8 9

. 9 0

. 9 1

. 9 2

. 9 3

. 9 3

. 9 6

. 9 0

. 9 5

. 9 8

. 9 0

. 8 8

. 8 9

. 9 0

. 7 7

. 8 6

. 8 0

.73

. 7 3

. 7 2

. 7 2

. 6 8

. 6 7

. 6 3

. 6 4

.65

. 6 2

. 8 0

. 8 1

. 7 8

. 8 0

. 8 3

. 8 6

. 8 8

. 8 8

. 9 1

. 9 4

. 9 0

. 8 4

. 8 5

. 8 8

. 8 8

. 8 7

. 8 9

. 9 0

.66

. 8 1

. 7 5

. 7 5

. 7 6

. 7 8

. 8 0

. 7 8

. 7 7

logp8

-13.89

.85

. 8 4

. 6 7

. 9 0

. 9 5

. 9 5

. 9 6

. 9 6

.97

. 9 6

. 9 6

. 9 7

. 9 1

. 9 5

.97

. 8 9

.86

.87

.87

. 7 4

. 8 3

. 7 8

. 7 1

. 7 3

. 7 2

. 7 3

. 7 0

. 7 0

. 6 7

. 6 8

. 7 0

. 6 6

. 8 5

. 8 7

. 8 3

. 8 5

. 8 8

. 9 1

. 9 2

. 9 2

. 9 4

. 9 7

. 9 3

.86

. 8 7

. 9 1

. 9 0

. 8 9

. 9 1

.93

. 9 2

.85

. 7 9

. 8 0

. 8 0

.83

.84

.62

. 8 1

T,

(°K)

1198

1244

1260

1218

1188

1139

1141

1134

1127

1122

1127

1133

1118

1178

1141

1124

1206

1232

1228

1228

1405

1270

1347

1450

1429

1444

1422

1484

1485

1548

1514

1483

1549

1249

1228

1269

1250

1212

1184

1166

1169

1150

1121

1163

1236

1225

1182

1191

1198

1175

1162

1170

1248

1329

1317

1307

1277

1260

1284

1300

z

(km)

348.4

348.0

347.6

347.4

347.3

347.3

347.6

348.0

348.7

349.5

350.5

351.6

352.7

353.9

355.0

J56.0

356.9

357.6

358.6

358.8

358.7

35 8.3

357.8

357.0

356.1

355.1

354.0

352.8

351.7

350.7

349.8

349.1

348.5

348.2

348.0

348.0

348.3

343.6

349. I

349.6

350.2

350.8

351.3

351.7

351.9

352. I

352. I

351.9

351.6

351.2

350.8

350.3

349.8

349.3

349.0

348.7

348.7

348.8

349.1

349.5

o.-ao

(deg.)

292.2

293.2

2 94.0

294.5

294.9

295.1

295.2

295. 3

295.4

295.5

295.8

?96.3

297.0

298.0

2 99.2

300.8

307. fi

305.0

307.4

310.0

312. ?

315.3

317.8

320.1

32?.0

323.7

325.0

326. 1

326.9

327.4

327.8

32H.1

328. 3

32P.5

328.7

329.0

329.4

3 30.1

330.9

332.1

333.6

335.3

337.4

339.8

342.3

345.0

347.7

350.4

352.8

355.0

356.9

358.4

359.7

0 . 7

1.4

2 . 0

2 . 4

2 . 6

2 . 9

3 . 2

(deg.)

80.6

78.3

76.C

73.8

71.8

69.0

68.0

66.3

64.7

63.2

61.8

60.3

58. H

57.3

55. 7

54.0

52.3

50.4

4R.4

46.4

44.3

42.1

40.0

38.0

36.1

34.4

33.1

32.2

31.7

31.7

32.2

33.2

34.5

36.1

37.9

39.7

41.5

43.3

44.9

46.2

47.3

4R.0

48.4

48.4

48.0

47. 1

45.H

44.2

42.1

39.7

36.9

33.9

30.5

26.V

23.1

19.2

15.2

11.1

7 . 1

3 . 9

fco

(deg.)

105.7

103.8

102.0

100.3

98.7

97.1

95.6

94.1

92.6

91.0

89.4

87.7

86.0

84.1

82.1

80.0

77.9

75.7

73.5

71.4

69.3

67.3

65.5

63.9

62. S

61.4

60.7

60.3

60.2

60.4

60.9

61.6

62.5

63.5

64.5

65. 5

66.4

67.1

67.6

67.8

67.7

67.3

66.5

65.4

63.9

67.0

59.9

57.5

54.8

51.9

48.9

45.8

42.6

39.5

36.6

33.8

31.4

29.4

27.8

26.8
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 4 9

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD -10'p 107P, -10 TP A logp, log p. T,

(km) (deg.) (deg.) (deg.)

36998.0

99.0

37000.0

01.0

02.0

03.0

04.0

05.0

06.0

07.0

08.0

09.0

10.0

11.0

12.0

13.0

14.0

15.0

16.0

17.0

18.0

19.0

20.0

21.0

22.0

23.0

24.0

25.0

26.0

27.0

28.0

29.0

30.0

31.0

32.0

33.0

34.0

35.0

36.0

37.0

38.0

39.0

40.0

41.0

42.0

43.0

44.0

45.0

46.0

47.0

48.0

49.0

50.0

51.0

52.0

53.0

54.0

55.0

56.0

57.0

5.87

5.37

5.10

5.23

5.19

5.44

5.00

4.74

4.70

5.57

5.71

4.54

4.62

5.05

5.51

5.48

5.48

5.34

5.60

6.1*

6.24

6.56

6.71

7.04

6.92

7.24

7.87

8.94

7.91

6.60

5.33

5.56

6.30

6.08

6.09

5.97

5.81

5.88

b.72

5.51

5.74

6.33

6.46

6.43

6.38

6.17

5.96

5.75

5.68

5.89

5.82

5.88

5.77

5.55

5.17

4.86

4.44

4.32

3.86

3.58

5.9

5.4

5. 1

5.2

5.2

5.4

5.0

4.7

4.7

5.6

5.7

4.5

4.6

5.0

5. 1

5.5

5.5

5.3

5.6

6.1

6.2

6.6

6.7

7.0

6.9

7.2

7.9

8.9

7.9

6.6

5.3

5.6

6.3

6.1

6. I

6.0

5.a

5.9

5.7

5.5

5.7

6.3

6.5

6.5

6.4

6.2

6.0

5.7

5.7

5.9

5.8

5.9

5.8

5.6

5.2

4.9

4.4

4.3

3.9

3.6

13.75

.79

.81

.8C

.81

.79

.83

.85

.85

.78

.77

.87

.86

.83

.82

.73

.78

.80

.77

.73

.73

.70

.69

.67

.68

.66

.62

.57

.62

.70

.80

.78

.73

.74

.74

.75

.76

.76

.77

.79

.77

.73

.71

.71

.72

.73

.74

.77

.77

.76

.77

.76

.77

.79

.82

.85

.90

.91

.95

.99

-13.78

.81

.83

.82

.81

.79

.82

.84

.84

.76

.75

.85

.84

.81

.81

.78

.IB

.81

.79

.76

.75

.73

.73

.71

.72

.71

.67

.61

.66

.74

.83

.81

.75

.77

.76

.77

.79

.78

.79

.81

.80

.76

.75

.75

.76

.78

.79

.81

.81

.79

.79

.78

.78

.79

.82

.84

.88

.88

.92

.95

1338

1292

1267

1286

1294

1326

1288

1259

1264

1375

1390

1245

1255

1298

1304

1344

1336

1304

1330

1377

1380

1417

1421

1449

1433

1465

1546

1671

1549

1402

1266

1301

1380

1361

1364

1355

1333

1343

1320

1296

1313

1374

1390

1385

1369

1344

1320

1297

1301

1327

1323

1341

1338

1324

1288

1263

1215

1210

1170

1140

350.2

351.0

352.0

353.0

354.0

355. 1

356.0

356.8

357.5

358.0

358.2

358.2

358.0

357.5

356.8

356.0

355.0

354.0

352.9

351.8

350.9

350.0

349.3

348.8

348.5

348.4

348.4

348.7

349.0

349.5

350.1

350.6

351.1

351.6

351.9

352.1

352.2

352.1

351.8

351.5

351.0

350.4

349.8

349.3

348.8

348.4

348.1

349.1

349.7

350.4

351.3

352.3

353.4

354.6

355.7

356.8

357.8

358.6

359.2

359.6

3.5

3.9

4.5

5.3

6.4

7.8

9.5

11.6

13.9

16.5

19.3

22.1

24.9

27.6

30.0

32.1

33.9

35.4

36.6

37.5

38.1

38.6

39.0

39.3

39.6

39.9

40.3

40.9

41.7

42.7

43.9

45.5

47.4

49.7

52.1

54.8

57.6

60.4

63.0

65.5

67.6

69.5

71.0

72.2

73.2

73.9

74.4

74.6

74.9

75.2

75.4

75.8

76.3

77.0

77.9

79.1

80.6

82.4

84.5

87.0

3.9

7.2

11.0

14.8

18.5

22.0

25.4

28.4

31.2

33.7

35.8

37.6

39.0

40.2

40.9

41.4

41.6

41.5

41.2

40.9

40.4

40.0

39.7

39.5

39.5

39.9

40.5

41.4

42.7

44.2

46.0

48.0

50.1

52.2

54.4

56.6

58.7

60.7

62.6

64.4

66.0

67.4

68.7

69.9

70.9

71.9

72.9

73.7

74.7

75.8

77.1

78.4

80.0

81.8

83.7

85.8

88.1

90.6

93.1

95.7

26.4

26.5

27.0

27.8

28.7

29.7

30.7

31.5

32.1

32.4

32.5

32.2

31.6

30.6

29.4

27.8

25.9

23.7

21.4

18.9

16.3

13.8

11.7

10.1

09.6

10.3

12.1

14.5

17.2

20.0

22.7

25.4

27.9

30.3

32.4

34.3

36.0

37.4

38.5

39.5

40.2

40.9

41.4

41.8

42.3

42.9

43.6

44.3

45.5

46.9

48.6

50.6

52.9

55.3

58.0

60.8

63.7

66.6

69.5

72.3
5 0 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. I

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD -107P lO'p* -107P A log P. log P. T

(km) (deg.) (deg.) (deg.)

37058.0

59.0

60.0

61.0

62.0

63.0

64.0

65.0

66.0

67.0

68.0

69.0

70.0

71.0

72.0

73.0

74.0

75.0

76.0

77.0

78.0

79.0

80.0

61.0

82.0

83.0

84.0

85.0

86.0

87.0

88.0

89.0

90.0

91.0

92.0

93.0

94.0

95.0

96.0

97.0

98.0

99.0

37100.0

01.0

02.0

03.0

04.0

05.0

06.0

07.0

08.0

09.0

10.0

11.0

12.0

13.0

14.0

15.0

16.0

17.0

3.08

2.88

2.90

3.28

3.56

3.95

3.96

3.41

3.21

3.41

3.51

3.57

3.6b

3.82

3.79

3.49

3.36

3.20

3.01

3.2 5

3.09

3.2*

3.23

3.10

2.9 /

3.29

2.98

3.02

3.10

3.08

2.66

2.97

3.79

3.36

3.05

3.24

3.37

3.16

3.01

2.40

?.41

2.65

2.06

2.39

2.27

2.20

1.96

1.82

1.S0

1.92

1.63

1.84

1.56

1.90

2.01

2.17

2.33

2.37

2.40

2.37

3.1

2.9

2.9

3.3

3.6

4.0

4.0

3.4

3.2

3.4

3.5

3.6

3.7

3.S

3.8

3.5

3.4

3.2

3.2

3.1

3.2

3.2

3.1

3.0

3.3

3.0

3.0

3.1

3. 1

2.7

3.0

3.8

3.4

3.0

3.2

3.4

3.2

3.0

2.4

2.4

2.6

2.1

2.4

2.3

2.2

2.0

1.8

1.9

1.9

I.a

1.8

1.6

1.1

2.0

2.2

2.3

2.4

2.4

2.4

14.05

.08

.07

.01

13.97

.92

.92

.99

14.01

-13.9 3

.97

.95

.94

.93

.93

.96

.98

14.01

.04

.02

.03

.02

.02

.04

.06

.02

.06

.06

.04

.04

.10

.05

•13.94

.99

-14.04

.01

•n.98

-14.00

.03

.12

.12

.09

.18

.12

.14

.16

• 2C

.25

. 2 3

. 2 3

.25

. 2 5

. 3 0

. 2 3

. 2 0

.16

. 1 4

. 1 2

.11

. 11

-14.0 1

. 0 4

. 0 4

-13.99

.95

.91

.92

-14.00

.03

.02

.01

.01

.01

.00

.Cl

.cs

.06

.05

.08

.05

.06

.04

.04

.05

.06

.02

.06

.06

.05

.05

. 12

.03

-13.98

-14.03

.09

.07

.05

.08

.11

.21

.21

.18

.27

.19

.19

.20

.23

.26

.23

.22

.24

.23

.28

.20

.18

.14

.13

.12

.12

.13

1086

1063

106 3

1107

1138

1177

1170

109 7

1068

1082

1084

108 7

1091

1005

1090

10',9

1047

1055

1035

1008

1050

1062

1064

1055

1046

1078

1046

1045

1054

1051

1006

1034

1112

106 7

1022

10 39

1055

1032

1010

951

950

970

922

964

961

956

941

924

940

945

937

9 39

916

954

966

990

999

1007

1002

998

359.8

359.6

359.2

353.5

357.6

356.4

355.1

353.7

352.2

350. 7

349.3

348.0

346.9

346.0

345.3

344.9

344.7

350.0

3 50.6

351.3

352.0

352.6

353.3

353.8

354.2

354.4

3 54.4

354.2

353.8

353.2

3 52.4

351.5

350.5

349.4

348.3

347.3

346.4

345. 7

345.1

344.6

344.4

344. 3

344.4

347.6

349.0

350.6

352.C

353.4

354.7

355.8

356.6

357.2

357.4

357.4

357.1

356.6

355.8

354.9

353.8

352.7

B9.6

92.4

95. 3

9e.o

100.6

102.8

10^.8

106.4

107.7

108.7

109.4

110.0

110.3

lin.6

110.8

111.0

1 II .3

111 .6

112.2

113.0

114.0

115.4

117.0

119.0

121.3

123.8

126.4

129.1

131.8

134.2

136.4

138.3

139.9

141.2

142.1

142.8

143.3

143.7

143.9

144.0

144.2

144.4

144.8

145.2

145.9

146.9

148.2

149.9

151.9

154.2

156.7

159.4

162.2

164.9

167.5

169.8

171.8

173.5

174.8

175.9

98.2

100.8

103.2

105.5

107.5

109.3

110.7

Ul.B

112.4

112.7

112.6

112.7

111.4

110.4

109.2

107.9

106.6

105.3

104.2

103.2

10?. 5

102.0

101.9

102.2

102.8

103. 7

105.0

106.7

108. iS

110.8

113.3

115.9

118.7

121.6

124.4

127.3

130.2

132.9

135.6

138.1

140.4

142.5

144.5

146.2

147.9

149.5

151.0

152.6

154.2

155.8

157.6

159.5

161.6

163.8

166.3

168. b

171.4

173.8

175.1

174.3

74.9

77.4

79.5

81.4

83.0

84.2

85.0

85.5

85.6

85.4

84.9

84.1

83.2

82.1

81.0

79.9

78. 9

78.0

77.4

77.0

77.0

77.2

77.8

78.8

80.0

81.6

83.4

85.4

87.6

89.9

92.3

94.7

97.1

99.5

101.8

104.1

106.2

108.2

110.1

112.0

113.7

115.5

117.2

118.7

120.5

122.3

124.1

126.1

128.2

130.3

132.6

134.8

137.2

139.4

141.6

143.6

145.4

146.7

147.6

147.9
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 5 1

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD -107P 107PR -107PA logPr logpg T.

(km)

o,-o0

(deg.)

+0

(deg.)

(deg.)

37118.0

19.0

20.0

21. C

22.0

23.0

24.0

25.0

26.0

27.0

28.0

29.0

30.0

31.0

32.0

33.0

34.0

35.0

36.0

37.0

38.0

39.0

40.0

41.0

42.0

43.0

44.0

45.0

46.0

47.0

48.0

49.0

50.0

51.0

52.0

53.0

54.0

55.0

56.0

57.0

58.0

59.0

17170.0

71.0

72.0

73.0

74.0

75.0

76.0

77.0

78.0

79.0

80.0

81.0

82.0

83.0

84.0

85.0

86.0

2.51

2.65

3.00

3.13

2.58

2.30

2.19

2.41

2.41

2.40

2.16

2.25

3.4/

3.2i

2.30

2.36

2.31

2.04

1.99

1.59

1.64

1.69

1.73

1.76

1.68

1.70

1.83

2.28

2.61

2.01

1.76

1.73

1.75

1.55

1.06

1.54

1.50

1.31

1.78

2.03

2.16

2.13

2.42

2.?9

2.16

2.21

2.31

2.64

2.57

2.79

2.26

1 .66

1.55

3.07

4.19

3.46

2.34

2.29

2.69

2.5

2.6

3.0

3.1

2.6

2 . 3

2.2

2 . 4

2 . 4

2.4

2. 2

2.2

3.5

3.2

2 . 4

2 . 4

2.3

2.0

2.0

1.6

1.6

1.7

1.7

1.8

1.7

1.7

1.8

2 . 3

2.6

2.0

1.8

1.7

1.9

l.fi

l . l

1.5

1.5

1.3

l . a

2.2

2. I

2 . 3

2.?

2.?

2.3

2.6

?.6

2.8

2.3

1.7

1.6

3. 1

4.2

3.5

2.3

?.7

•14.09

.07

.01

.00

.07

.12

.14

.11

.11

.11

.15

.15

•13.95

.99

•14.il

.12

.13

.19

.19

.29

.29

.26

.26

.23

.26

.26

.23

.12

.07

.18

.23

.25

.23

.28

.45

.31

.32

.38

.24

.20

.16

.18

14.11

.13

.15

.15

.13

.08

.08

.05

. 14

.27

.30

.02

13.89

.97

•14.15

.15

.08

-1^.12

. 11

.06

.05

.13

.19

.21

.18

. 18

.18

.22

.22

.01

.05

.18

.18

.20

.26

.26

.36

.36

.34

.34

.32

.35

.35

.32

.22

. 16

.27

.31

.32

.29

.33

.48

.34

.33

.38

.23

.18

.13

.14

-14.14

.17

. 19

.20

.18

.13

.14

.10

.19

.32

.35

.06

-13.93

-14.01

• ?0

.20

.14

1004

1010

1049

10S5

997

96?

950

970

969

968

948

948

10P3

105 3

970

970

958

926

9?5

884

882

891

890

R99

888

888

898

948

9RI

922

905

898

91?

894

844

892

896

877

941

970

1000

989

991

975

961

958

966

997

995

1015

961

R98

887

1044

11S5

1083

95 7

955

995

351.6

350.5

349.5

348.6

347.9

347.3

346.9

346.7

346.7

346.7

346.9

347.1

347.3

347.5

347.6

347.7

347.6

347.4

347.2

346.8

346.3

345.8

345.3

344.8

344.4

344.1

344.0

344.1

344.5

345.0

345.8

346.8

348.0

349.3

350.7

352.2

353.7

355.1

356.4

357.5

358.3

358.9

351.6

350.7

349.9

349.4

349.0

343.7

348.6

348.7

343.8

349.0

349.1

349.3

349.3

349.3

349.?

348.9

348.5

176.6

177.2

177.3

177.8

178.0

178.1

178.4

178.7

179.2

179.9

180.9

182.1

183.7

185.6

187.9

190.3

193.0

195.7

198.4

2 00.9

203.2

205.2

206.9

208.3

209.4

P10.2

210.8

211.2

211.5

211.8

212.0

212.3

212.7

213.2

214.0

215.1

216.4

218.1

220.2

222.5

225.1

227.9

247.5

247.9

248.2

248.5

248.8

249.2

249.8

250.6

251.7

2 53.1

254.7

256.8

259.1

261.6

2 64.4

267.2

2 70.0

171.8

168.5

165.0

161.2

157.5

153.7

149.9

146. 3

142.8

139.4

136.3

133.5

131.0

128.8

127.0

125.6

124.6

124.1

124.0

124.3

125.1

126.3

127.8

129.7

131.8

134.1

136.5

139.0

141.3

143.5

145.4

146.8

147.7

148.C

147.6

146.5

145.0

143.0

140.7

138.?

135.6

133.0

113.5

112.5

111.5

110.5

109.4

108. 1

lO6.fi

105.3

103.6

101.8

99.9

97.8

95.7

93.5

91.3

89.2

87.1

147.7

146.8

145.5

143.7

141.6

139.3

136.8

134.4

132.1

129.9

127.9

1P6.2

124.9

123.9

123.4

123.3

123.6

124.4

125.7

127.4

129.4

131.9

134.8

137.9

141.4

145.0

148.8

152.8

156.9

161.1

165.2

169.3

173.1

176.0

175.9

173.1

169.8

166.5

163.4

160.5

157.9

155.5

142.9

142.0

140.8

139.4

137.7

135.9

133.8

131.6

129.3

126.9

124.4

122.0

119.6

117.4

115.3

113.3

111.6
5 2 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. S

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD -107

P 107PB

37187.0

88.0

89.0

37190.0

92.0

94.0

96.0

98.0

37200.0

02.0

04.0

06.0

08.0

10.0

3 7212.0

12.5

13.0

13.5

14.0

14.5

15.0

15.5

37216.0

18.0

20.0

22.0

24.0

26.0

28.0

30.0

32.0

34.0

36.0

38.0

40.0

42.0

44.0

46.0

48.0

37250.0

50.5

51.0

51.5

52.0

52.5

53.0

53.5

54.0

54.5

55.0

55.5

56.0

56.5

57.0

57.5

58.0

3.43

3.54

4.05

4 . 0

4 . 0

A. 3

A . 6

4 . 3

3 . 8

3 . 5

3 . 3

i . 3

3 . 3

3 . 2

3.20

3.38

2.95

4.54

8.13

5.68

4. 14

4.15

4 . ?

4 . 3

5 . 0

5.,?

5 . 0

4 . 8

4 . 5

4. A

4 . 4

4 . 4

4. 3

4 . 2

4 . 6

5 . 0

5 . 3

5.6

5.9

6.09

6.54

7.67

9.92

6.59

5.27

5.28

5.74

6.43

5.55

4.90

4.68

4.48

4.26

4.28

4.07

4.30

IO7PA

3 . 4

3 . 5

4 . 0

4 . 0

4 . 0

4 . 3

4 . 6

4 . 3

3 . 8

3.5

3 . 3

3.3

3 . 3

3 . 2

3.2

3 . 4

3 . 0

4 . 5

fi.l

5 . 7

4 . 1

4 . 2

4 . 2

A . 3

5 . 0

5 . 2

5.0

4 . 8

4 . 5

4 . 4

4 . 4

4 . 4

4 . 3

4 . 2

4 . 6

5 . 0

5 . 3

5 . 6

5 . 9

6 . 1

6 . 5

7 . 7

9 . 9

6 . 6

5 . 3

5 . 3

5 . 7

6 . 4

5 . 6

4 . 9

4 . 7

4 . 5

4 . 3

4 . 3

4 . 1

A . 3

log p.

-13.98

. 9 7

. 9 1

-13.91

. 9 1

. 8 7

. 8 4

. 8 7

. 9 3

. 9 7

-14.01

. 0 1

.02

.04

-14.04

. 0 1

. 0 7

-13.89

. 6 3

. 7 8

. 9 3

. 9 1

-13.91

. 9 0

. 8 3

. 8 0

. 8 2

. 8 4

. 8 7

. 8 8

. 8 9

. 8 9

. 9 0

. 9 1

. 8 7

. 8 3

. 8 1

. 7 8

. 7 6

-13.74

. 7 1

. 6 4

. 5 3

. 7 1

. 8 1

. 8 1

. 7 7

. 7 3

. 7 8

. 8 4

. 8 6

. 8 8

. 9 0

. 9 0

. 9 2

. 9 0

log P»

-14.04

. 0 3

-13.98

-13.98

.98

. 9 5

.92

.94

.99

-14.01

. 0 2

.01

. 0 1

. 0 3

-14.03

. 0 1

.07

-13.89

.64

. 8 0

.94

. 9 3

-13.94

.94

.88

. 8 7

. 8 9

. 9 1

.93

. 9 4

.93

.93

. 9 4

. 9 6

. 9 2

. 8 9

.8?

.83

. 8 1

-13.78

. 7 5

. 6 7

. 5 6

.73

. 8 3

.82

. 7 9

.73

.79

.84

.86

.88

. 8 9

. 8 9

. 9 1

.89

T.

(°K)

1062

1069

1114

1110

1110

1138

1169

1147

1107

1087

1076

1083

1087

1074

1069

1088

1044

1199

1607

1319

1148

1156

1153

IIS1

1209

1221

1200

1182

1158

1153

1156

1157

1145

1131

1164

1199

1227

1261

1302

1339

1387

1530

1826

1415

1278

128 2

1330

1415

1328

1254

1235

1216

1197

1198

1178

1201

z

(km)

348.0

347.4

346.8

346. 1

345.9

345.5

345.8

346.8

348.5

350.7

353.0

355.0

356.3

356.6

355.8

355.5

355.1

354.7

354.2

353.7

353.1

3 52.6

352.0

349.7

347.6

346.3

345.8

346.0

346.9

348.0

348.9

349.4

349.4

348.9

348.0

347.2

346.7

346.8

347. I

349.4

349.9

350.4

351.0

351.6

352.1

3 52.7

353.2

353.8

354.3

354.8

355.2

355.6

356.0

356.3

356.5

356.7

a,-oo

(deg.)

2 72.6

275. I

277.2

2 79.0

281.7

283.3

284.2

2 84.8

2 85.6

287. I

289.6

293.4

298.5

304. 3

309.9

311.2

312.4

313.5

314.5

315.5

316.4

317.2

317.9

319.9

321. 1

321.7

322.4

323.4

325.3

328. 3

332.7

338.0

343.5

348.4

3 52.1

354.5

355.9

356. 5

357.0

357.6

357.9

358.2

358.6

359.0

359.5

O . I

0 . 7

1.5

2 . 3

3 . 2

4 . 2

5 . 3

6 . 4

7 . 7

8 . 9

10.3

(deg.)

95.1

83.3

81.7

80.2

78.0

76.5

75.8

75.3

74.7

73.5

71.6

68.5

64.5

59.5

54.1

52.7

51.3

49.9

48.6

47.3

46.0

44.8

43.7

40.2

38.5

39.0

41.1

44.1

47.1

49.4

50.7

50.4

48.6

45.2

40.5

34.6

27.9

20.7

13.4

6 . 3

4 . 6

3 . 0

1.6

1. 2

2 . 4

3 . 8

5 . 2

6 . 6

8 . 0

9 . 3

10.6

11.8

12.9

14.0

15.0

15.9

(deg.)

110.I

108.8

107.fi

107.1

106.1

105.8

105.6

105.2

1C4. I

102.0

98.8

94.6

89.6

84.3

79.2

78.0

76.8

75.7

74.6

73.6

72.7

71.9

71.2

69.0

68.2

68.5

69.4

70.6

71.3

71.2

70.0

67.5

63.9

59.4

54.2

48.8

43.6

38.9

34.9

31.8

31.1

30.5

29.9

29.4

28.8

28.3

27.7

27.2

26.6

26.1

25.5

24.8

24.2

23.5

22.7

21.9
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 53

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD -10'p 10 7

P , -

37258.5

59.0

59.5

60.0

60.5

61.0

61.5

62.0

62.5

63.0

63.5

37264.0

65.0

66.0

67.0

68.0

69.0

70.0

71.0

72.0

73.0

74.0

75.0

37284.0

85.0

86.0

87.0

88.0

89.0

90.0

91.0

92.0

93.0

94.0

95.0

96.0

97.0

98.0

99.0

37300.0

01.0

02.0

03.0

04.0

05.0

06.0

07.0

08.0

09.0

10.0

11.0

12.0

13.0

14.0

15.0

16.0

17.0

18.0

4.32

4.56

5.23

'..80

4.81

4.38

4.16

3.96

3. 75

3.54

4.6 7

4.90

4. 36

4.12

3.72

3.96

4.46

6.62

5.88

6.Id

6.41

6.91

6.67

4.84

4.45

3.82

3.34

2.91

3.24

3.06

2.98

2.70

3.03

3.47

4.01

4.06

4.22

3.96

4.10

4.48

4.53

4.20

3.97

3.85

3.95

3.78

3.61

3.50

3.21

2.65

2.48

2.32

2.20

2.26

2.14

1.98

2.03

2.65

IO7PA

4 . 3

4 . 6

5 . 2

4 . 8

4 . 8

4 . 4

4 . 2

4 . 0

3 . 8

3 . 5

4 . 7

4 . 9

4 . 4

4 . 1

3 . 7

4 . 0

4 . 9

6 . 6

5 . 9

6 . 2

6 . 4

6 . 9

6 . 7

4 . 8

4 . 4

3 . 8

3 . 3

2 . 9

3 . 2

3 . 1

3 . 0

2 . 7

3 . 0

3 . 5

4 . 0

4 . 1

4 . 2

4 . 0

4 . 1

4 . 5

4 . 5

4 . 2

4 . 0

3 . 8

4 . 0

3 . 8

3 . 6

3 . 5

3 . 2

2 . 6

2 . 5

2 . 3

2 . 2

2 . 3

2 . 1

2 . 0

2 . 0

2 . 6

logp.

-13.90

. 8 7

. 8 2

. 8 5

. 8 5

. 8 9

. 9 1

. 9 3

. 9 5

. 9 9

. 8 6

-13.84

. 8 9

. 9 2

. 9 6

. 9 2

. 8 3

. 7 0

. 7 5

. 7 3

. 7 2

. 6 8

. 7 0

-13.84

. 8 8

. 9 *

-14.00

. 0 6

. 0 2

. 0 3

. 0 4

. 0 9

. 0 4

-13.97

. 9 2

. 9 1

. 9 0

. 9 2

. 9 1

. 8 7

. 8 8

. 9 1

. 9 3

. 9 6

. 9 4

. 9 6

. 9 9

-14.00

. 0 4

. 1 3

. 1 5

. 1 8

. 2 0

. 1 8

. 2 2

. 2 4

. 2 4

. 1 2

logp.

-13.89

. 8 6

. 8 1

. 8 4

. 8 4

. 8 8

. 9 0

. 9 3

. 9 5

. 9 9

. 8 6

-13.85

. 9 0

. 9 4

. 9 9

. 9 6

. 8 8

. 7 5

. 8 1

. 7 9

. 7 8

. 7 5

. 7 6

-13.89

. 9 3

. 9 9

-14.05

. 1 1

. 0 7

. 0 9

. 1 1

. 1 5

. 1 1

. 0 4

-13.98

. 9 7

. 9 6

. 9 8

. 9 6

. 9 2

. 9 1

. 9 4

. 9 5

. 9 7

. 9 4

. 9 6

. 9 8

. 9 9

-14.03

.12

. 14

. 1 8

. 2 0

. 1 9

. 2 3

. 2 6

. 2 7

. 1 6

T.

(°K)

120 2

1235

1303

1257

1256

1210

1187

1163

1139

1105

1231

1249

1192

1154

1107

1132

1215

138 3

13C3

1328

134 4

1393

1372

1202

1163

1103

1052

1010

1038

1027

1015

9 8 4

1012

1060

1108

1119

1131

1115

1128

1172

1178

1153

1138

1122

1148

1130

1112

1103

1071

1005

9 9 3

9 6 9

9 5 5

9 6 3

9 3 9

9 2 5

9 2 2

9 8 1

z

(km)

356.8

356.9

356.9

356.8

356.6

356.4

356.1

355.8

355.4

355.0

354.5

354.0

353.2

352.0

350.9

349.7

348.7

347.8

347.1

346.5

346.2

346.1

346.1

348.9

348.8

348.6

348.2

347.8

347.3

346.9

346.4

346.0

345.6

345.5

345.5

345.8

346.3

347.0

347.8

348.8

350.0

351.2

352.4

353.5

354.5

355.4

356.0

356.5

356.6

356.5

356.2

355.6

354.8

353.9

353.0

352.0

351.0

350.1

o.-ao

(deg.)

11.6

13.0

14.5

15.9

17.2

18.6

19.9

21.1

22.3

23.4

24.4

25.4

26.9

28.1

29.0

29.7

30.2

30.4

30.6

30.7

30.9

31.1

31.4

46.5

49.2

51.7

54.1

56.2

57.9

59.4

60.4

61.2

61.8

62.2

62.4

62.5

62.6

62.8

63.0

63.5

64.1

65.0

66.2

67.8

69.7

71.9

74.4

77.1

79.9

82.6

85.2

87.5

89.6

91. 3

92.6

93.6

94.4

94.9

ft

(deg.)

16.8

17.7

18.5

19.2

19.9

20.5

21.1

21. 7

22.3

22.8

23.4

23.9

25.0

26.2

27.6

29.1

31.0

33.1

35.5

38.1

40.9

43.9

47.0

71.8

73.2

74.3

74.9

75.1

74.9

74.3

73.4

72.2

70.7

69.1

67.4

65.6

64.0

62.5

61.3

60. A

59.9

59.8

60.2

60.9

62.1

63.7

65.6

67.7

70.0

72.4

74.9

77.4

79.9

82.2

84.5

86.6

88.6

90.5

(deg.)

21.0

20.1

19.1

18.1

17.0

15.8

14.6

13.2

11.9

10.4

9 . 0

7 . 4

4 . 3

1 . 8

3 . 7

7 . 3

11.2

15.3

19.4

23.5

27.6

31.6

35.6

58.7

59.2

59.2

58.8

57.9

56.6

54.9

52.9

50.6

48.1

45.5

42.8

40.3

37.8

35.7

34.0

32.9

32.3

32.4

33.2

34.4

36.1

38.2

40.4

42.8

45.1

47.5

49.8

52.0

54.0

56.0

57.8

59.5

61.1

62.6
54 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. •

TABLE 5. Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 Alpha

MJD

37319.0

20.0

21.0

22.0

23.0

24.0

25.0

26.0

27.0

28.0

29.0

30.0

31.0

32.0

33.0

34.0

35.0

36.0

37.0

38.0

39.0

40.0

41.0

42.0

43.0

44.0

45.0

46.0

47.0

48.0

49.0

50.0

51.0

52.0

53.0

54.0

55.0

37^56.0

58.0

60.0

62.0

64.0

66.0

68.0

70.0

72.0

74.0

76.0

78.0

37380.0

81.0

82.0

83.0

84.0

85.0

86.0

87.0

88.0

37389.0

90.0

-10rP

3.26

2.43

2.16

2.11

2.01

2.06

2.16

2.34

2.32

2.40

2.31

2.16

2.1?

2.02

1.97

2.20

2.53

2.52

2.29

2.00

1.82

1.90

1.76

1.78

1.58

1.64

1.60

1.70

1.81

1.86

1.73

1.77

:.6 9

1.54

1.62

1.47

1.48

1 . 5

1.6

1 .b

1.4

1 . 5

1 . 6

1 .6

1 .6

1 . 6

L.6

I . 6

1.7

1.60

1.50

1.42

1.23

2.03

2.12

2.25

2.06

2.15

2.24

2.10

1O'PR -10 7

P A

3 . 3

2 . 4

2.2

2 . 1

2 . 0

2 . 1

2 . 2

2 . 3

2 . 3

2 . 4

2 . 3

2.2

2 . 1

2 . 0

2 . C

2 . 2

2 . 5

2 . 5

2 . 3

2 . 0

1 . 8

1 . 9

1.8

1 . 8

1 . 6

1 . 6

1 . 6

1 . 7

1 . 8

1 . 9

1 . 7

1 . 8

1 . 7

1 . 5

1 . 6

1 . 5

1 . 5

1 . 5

1 . 6

1 . 5

1 . 4

1 . 5

1 . 6

1 . 6

1 . 6

1 . 6

1 . 6

1.6

1 . 7

1 . 6

1 . 5

1 . 4

1 . 2

2 . 0

2 . 1

2 . 2

2 . 1

2.2

2 .2

2 . 1

log

-14 .

•

•

•

•

•

•

•

•

•

•

•

-14 .

•

-14 .

•

-14 .

•

P.

02

16

19

21

24

22

?0

18

IB

16

18

20

22

2<>

?3

19

13

13

16

2 2

26

24

26

26

31

31

31

28

2 6

23

29

26

2 9

35

32

35

35

35

33

35

37

34

30

30

2 9

29

29

30

2 7

30

33

36

4 3

20

18

16

18

16

15

I 7

logp.

-14.06

. 2 0

. 2 4

. 2 7

. 2 9

. 2 7

. 2 5

. 2 4

. 2 4

. 2 2

. 2 4

. 2 5

. 2 7

. 2 9

. 2 9

. 2 4

. 1 9

. 1 9

. 2 3

. 2 9

. 3 4

. 3 1

. 3 4

. 3 4

. 3 9

. 3 9

. 3 9

. 3 6

. 3 3

. 3 0

. 3 4

. 3 1

. 3 3

. 3 8

. 3 4

. 3 6

. 3 6

-14.35

. 3 ?

. 3 5

. 3 8

. 3 6

. 3 4

. 3 5

. 3 6

. 3 6

. 3 6

. 3 5

. 3 2

-14.34

. 3 7

. 3 9

. 4 6

. 2 4

. 2 2

. 2 0

. 2 2

. 2 1

-14.21

. 2 3

T,

(°K)

104 7

955

9 3 4

97 3

912

9 2 2

9 3 3

933

934

9 4 5

9 37

92 9

9?1

9 1 3

9 1 4

934

96 4

964

9 4 3

9 1 3

893

9 0 2

8 9 2

891

87 7

8 7 3

8 7 3

884

895

9 0 6

889

902

895

877

890

882

884

886

9 0 0

889

876

8R3

889

886

8 8 3

8 3 3

8 8 4

886

899

891

8 82

872

85 1

9 3 6

9 4 6

9 5 6

9 4 4

9 5 4

953

941

z

(km)

349.4

348.8

348.4

34P.2

348.3

348.5

348.9

346.4

346.8

347.2

347.7

348.1

348.4

34H.6

348.6

348.5

34B.3

347.9

347.4

346.9

346.3

345.7

345.3

344.9

344.7

344.7

344.9

345. 3

346.C

346.8

347.8

348.9

350.1

351.3

352.5

353.6

354.5

355.2

355.7

355.3

353.9

3 52.0

349.9

348. 1

347.0

346.7

347.2

348.2

349.4

350.3

350.7

350.9

350.9

350.8

350.5

35C.2

349.8

349.3

348.9

348.5

(deg.)

95.2

95.5

95. 7

95.8

96. 1

96.5

97.0

97.8

98.8

100.7

101.9

104.0

106.4

109.0

111. 7

114.5

117.2

119.8

122.0

123.9

125.5

126.8

127.8

128.5

129.0

129.4

129.7

129.9

130.2

130.6

131.2

131.9

132.9

134.2

135.9

137.9

140.3

142.9

148.7

154.4

159.2

162.6

164.8

166.0

166.7

167.3

168.5

170.5

173.8

178.4

181.1

183.9

186.8

189.6

192.2

194.5

196.5

198.2

199.5

20C.6

(deg.)

92.2

93.3

95.4

96.9

98.4

99.9

101.5

103.0

104.8

106.6

108.5

113.5

117.6

114.8

117.0

119.2

121.3

123.3

125.2

126.8

I2fl.l

129.1

129.8

130.1

130.1

129.7

129. I

128.3

127.4

126.4

125.5

174.7

124.1

123.8

123.7

124.0

124.7

125.8

129.1

133.9

140.0

147.0

154.4

161.4

166.2

166.4

162. 3

156.9

151.9

147.9

146.5

145.4

144.7

144.4

144.6

145.0

145.9

147.0

148.4

149.9

(deg.)

64.2

65.7

67.3

68.9

70.6

72.5

74.4

76.5

78.6

80.9

83.2

85.6

87.9

90.2

92.4

94.4

96.2

97.8

99.2

100.2

100.9

101.4

101.5

101.4

101.0

103.5

100.0

99.3

98.7

98.2

97.9

97.9

98.1

98.6

99.4

100.6

102.2

104.1

108.7

114.2

120.0

125.7

130.7

134.4

136.5

137.2

136.9

136.2

135.8

136.2

136.8

137.7

139.0

140.6

147.5

144.7

147.2

149.9

157.P

155.9
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 5 5

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 pi

MJD -10' P 1O7

P. -1O7PA logp. log P. T.

(km) (deg.) (deg.)

i'm

(deg.)

36710.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

5 0.0

52.5

55.0

57.5

6 0.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

36800.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

3.27

2.53

2.20

1.99

1.86

1.76

1.73

1.67

1 .80

1.79

1.98

1.97

1.78

1.73

1.57

1.46

1.4 1

1.30

1.07

1.05

1.29

1.52

2.28

2.28

1.66

1.44

1.56

1.63

1.66

1.72

1.77

1.95

1.86

1.66

1.63

1.69

1.78

1.95

2.08

2.35

2.49

2.22

2.25

1.86

1.16

1.03

1.43

1.72

1.89

1.69

1.59

1.57

1.32

1.27

1.05

1.04

0.95

1.00

1.16

-0.30

-0.30

-0.30

-0.30

-0.30

-0.3 0

-0.30

-0.31

-0.32

-0.32

0.32

-0.32

-0.32

-0.31

-0.30

-0.29

-0.27

-0.25

-0.22

-0.18

-0.12

-0.05

0.00

0.00

0.00

0.00

-0.02

-0.07

-0.17

-0.24

-0.27

-0.30

-0. 3L

-0.32

-0.32

-0.32

-0.31

-0.31

-0.30

0.30

-0.29

-0.2 8

-0.27

0.27

-0.27

-0.27

-0.28

•0.28

-0.29

-0.29

-0.29

•0.29

-0.28

-0.26

•0.20

•0. 11

-0.04

0.00

0.00

0.00

3.0

1.9

1.7

1.6

1.5

1.4

1.4

1.5

1.5

1.7

1.6

1.5

1.4

1.3

1.2

1.1

1.0

0.8

0.9

1.2

1.5

2.3

2.3

1.7

1.4

1.5

1.6

1.5

1.5

1.5

1.6

1.5

1.3

1.4

1.4

1.6

1.8

1.9

2.1

2.2

2.0

2.0

1.6

0.9

0.7

1.2

1.4

1.6

1.4

1.3

1.3

1.1

1.1

0.9

1.0

1.0

1.0

1.2

15.31

.44

.50

.55

.58

.61

.64

.64

.62

.62

.57

.60

.63

.66

.69

.72

.76

.79

.89

.83

.70

.60

.42

.42

.55

.63

.61

.58

.61

.62

.62

.60

.63

.69

.66

.66

.66

.60

.55

.52

.48

.46

.50

.51

.61

.86

.97

.74

.68

.62

.68

.71

.71

.78

.78

.86

.81

.81

.81

.74

•15.31

.45

.52

.57

.60

.63

.66

.66

.63

.63

.57

.59

.61

.64

.67

.70

.73

.77

.37

.82

.70

.61

.43

.43

.57

.65

.63

.60

.63

.63

.63

.60

.63

.70

.67

.67

.67

.61

.57

.54

.50

.48

.52

.52

.61

.86

.97

.73

.66

.60

.66

.69

.69

.76

.77

.86

.82

.82

.83

.75

1518

1417

137 3

1341

1324

1306

1288

1288

1305

1306

1340

1377

1313

1299

1284

1267

1249

1228

UNO

1203

1266

1317

1433

1430

1342

1291

1306

1321

1304

1304

130 3

1319

1302

1266

1283

1232

1281

1313

1342

1356

1383

1397

1371

1372

1315

1185

1136

1250

1287

1321

1288

1271

1271

1231

1230

1185

1205

1203

1200

1238

653.6

652.9

652.1

651.4

650.8

650.6

650.7

651.3

652.3

653.7

655.3

657.0

658.6

660.0

660.9

661.3

661.2

660.6

659.4

657.9

656.3

654.6

653.0

651.7

650.8

650.1

649.8

650.0

650.5

651.2

652.0

652.6

653.0

653.2

653.0

652.6

652.0

651.3

650.8

650.4

650.3

650.6

651.4

652.5

653.9

655.4

657.0

658.4

659.5

660.1

660.2

660.3

659.7

659.7

657.4

655.9

654.4

653.1

652.0

651.2

71.2

73.0

74.0

74.4

74.1

73.4

72.4

71.2

70.2

69.4

69.1

69.3

70.3

72.0

74.3

77.1

79.9

82.5

84.5

85.8

86.4

66.3

85.8

84.9

83.9

82.9

82.2

81.8

81.9

82.8

84.4

86.6

89.5

92.5

95.4

97.8

99.6

100.6

101.0

100.8

100.3

99.5

98.7

98.1

97.8

97.9

98.7

100.3

102.5

105.4

108.6

111.7

114.5

116.6

113.0

118.6

118.6

118.2

117.5

116.6

64.0

65.9

67.5

68.9

70.2

71.3

72.5

73.9

75.5

77.4

79.7

82.3

85.1

87.9

90.6

93.0

94.9

96.1

96.5

9 6 . 1

94.8

92.7

90.1

87.1

84.0

81.1

78.6

76.8

75.8

75.8

76.7

78.4

80.8

83.6

86.6

89.6

9?.4

94.8

96.7

98.1

98.8

99.2

99.2

99.1

99.0

99.1

99.5

100.4

101.6

103.3

105.2

107.4

109.5

111.6

113.4

114.8

115.8

116.4

116.6

116.7

38.5

39.7

40.6

41.4

42.4

43.7

45.4

47.6

50.4

53.6

57.2

60.9

64.5

67.8

70.7

72.9

74.2

74.6

74.0

72.5

70.1

67.1

63.6

59.8

56.2

53.0

50.5

49.0

48.6

49.3

51.0

53.3

56.1

59.0

61.7

64.2

65.2

67.6

68.6

69.2

69.4

69.5

69.6

69.8

70.4

71.3

72.6

74.3

76.3

78.4

80.5

82.5

84.2

85.6

86.5

87.0

87.2

87.2

87.0

87.0
5 6 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

 VOL

-

 8

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 /3l

MJD

36860.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

36925.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

5 2.5

55.0

57.5

60.0

62.5

65.0

67.5

70.C

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

37000.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

-107P

1.18

1.31

1.22

1 .2 1

I.10

1.06

1.04

0.90

0.87

0.84

0.73

0.67

0.63

0.47

0.48

0.66

0.85

0.75

0.76

0.79

0.89

0.81

0.69

0.6 3

0.60

0.55

0.56

0.53

0.65

0.79

1.02

1.37

1.27

1.09

0.95

0.70

0.63

0.55

0.48

0.39

0.35

O.40

0.48

0.50

0.50

0.44

0.41

0.39

0.40

0.34

0.37

0.28

0.31

0.34

0.48

0.79

0.97

0.65

0.52

10TPm

0.00

0.00

-0.01

-0.06

-0.12

-0.21

-0.23

-0.23

-0.22

-0.21

-0.20

-0.18

-0.17

-0.15

-0.13

-0.12

-0.20

-0.1S

- 0 . 10

-0.16

-0.22

-0.22

-0.22

-0.21

-0.19

-0.19

-0.18

-0.18

-0.17

-0.17

-0.16

-0.16

-0.16

-0.15

-0.15

-0.14

-0.13

-0.11

-0.10

-0.09

-0.08

-0.07

-0.07

-0.07

-0.07

-0.07

-0.07

-0.08

-0.09

-0.10

-0.10

-0.10

-0.10

-0.09

-0.08

-0.0 7

-0.05

-0.04

-0.02

-10 T P A

1.2

1 . 3

1 . 2

1 . 1

1 . 0

0 . 8

0 . 8

0 . 7

0 . 6

0 . 6

0 . 5

0 . 5

0 . 5

0 . 3

0 . 4

0 . 5

0.65

0.60

0.66

0.63

0.67

0.59

0.47

0.42

0.41

0.36

0.38

0.40

0.48

0.62

0.86

1.21

I.11

0.94

0.80

0.56

0.50

0.44

0.38

0.30

0.27

0.33

0.41

0.43

0.43

0.37

0.34

0.31

0.31

0.24

0.27

0.18

0.21

0.25

0.40

0.72

0.92

0.61

0.50

lug

-15.

-16.

•

-16.

-15.

-16.

•

-15 .

-16 .

p.

7 4

71

7 4

7 9

8 3

9 3

9 3

9 3

0 4

0 4

11

10

10

31

19

0 9

01

05

01

02

00

05

14

19

20

26

23

21

13

0 2

88

72

76

8 3

89

0 4

09

14

20

30

35

26

17

15

15

22

2b

31

31

4 2

37

54

4 7

38

17

9 1

80

98

06

- 1 5

- 1 6

- 1 6

- 1 5

- 1 6

- 1 5

- 1 6

g Pt

. 7 6

. 7 2

. 7 6

.HO

. 8 4

. 9 4

. 9 4

. 0 0

.06

. 0 6

.13

. 1 3

. 1 2

. 3 4

.21

. 1 1

. 0 1

.C4

. 0 0

. 0 ?

. 0 0

. 0 5

. 1 5

. 2 0

. 2 1

. 2 6

. 2 4

. 2 1

. 1 3

. 0 2

. 8 7

. 7 2

. 7 6

. 8 3

. 9 0

. 0 5

. 1 0

. 1 5

. 2 2

. 3 2

. 3 6

. 2 7

. 1 8

. 1 5

. 1 5

. 2 1

. 2 4

. 2 7

. 2 7

. 3 8

. 3 3

. 5 0

. 4 3

. 3 6

. 1 6

. 9 1

. 8 0

. 9 9

. 0 8

T,

(°K)

1236

1252

1232

1212

1192

1147

1147

1123

1096

1097

1067

1068

1070

991

1036

1075

i i in

1104

1121

1112

1123

1099

1060

1042

1038

1018

1027

1036

1067

1113

1178

1253

1234

1199

1166

1098

1078

105R

1035

9 9 9

985

1015

1050

1060

1062

1039

1027

1015

1016

9 8 0

9 9 7

9 4 3

9 6 3

9 8 6

1057

1162

1211

1126

1089

Z

(km)

650.8

650.7

650.9

651.2

651.5

651.8

651.9

651.7

651.3

650.7

649.9

649.2

648.7

648.5

648.8

649.7

656.2

656.4

656.2

655.7

655.0

654.3

653.8

653.4

653.3

653.5

653.8

654.3

654.9

655.3

655.5

655.4

655.0

654.3

653.4

652.4

651.4

651.6

651.2

651.1

651.4

652.2

653.4

654.9

656.7

658.6

660.4

661.8

662.9

663.4

663.3

662.6

661.4

659.8

658.1

656.3

654.6

653.2

652.2

(deg.)

115.fi

115.3

115.1

115.5

116.6

118.4

120.8

123.6

126.5

129.2

131.2

132.5

133.1

133.0

132.4

131.5

138.8

140.8

142.2

142.8

142.7

142.1

141.1

139.9

138.6

137.6

136.8

136.5

136.9

138.0

139.8

142.3

145. 1

147.9

150.4

152.2

153.4

153.8

153.7

153.2

152.4

151.5

150.6

150.1

150.0

150.4

151.6

153.6

156.2

159.2

162.4

165.3

167.6

169.2

170.2

170.4

170.1

169. 5

168.7

(deg.)

116.7

116.8

117.2

113. 1

119.4

121.3

123.6

126.3

129.1

131.?

134.1

135.6

136.1

135.4

133.5

130.6

111.2

114.1

117.5

121.2

124.9

128.4

131.6

134.2

136.3

137.7

138.7

139.4

140.0

140.7

141.6

143.0

144.6

146.7

148.9

151.1

153.0

154.2

154.4

153.5

151.6

149.0

146.1

143.1

140.5

138.4

137.0

136.5

137.0

138.5

141.0

144.3

148.5

153.4

158.6

163.8

168.1

169.6

166.9

(deg.)

87.3

88.0

89.2

90.9

93.2

95.8

98.7

101.6

104.3

106.6

108.1

108.8

108.6

107.4

105.4

102.6

91.8

94.4

97.2

99.9

102.4

104.5

106.3

107.7

108.9

109.9

110.8

111.9

113.1

114.6

116.3

118.2

120.2

122.2

124.0

125.3

126.0

126.1

125.5

124.2

122.4

120.4

118.4

116.6

115.3

114.6

114.7

115.6

117.4

119.9

123.0

126.6

130.2

133.8

136.8

139.0

140.0

139.7

138.3
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 5 7

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 fi

MJD -107P 1O7P« -10'P* logp, logp. T. z a-a0 £ +„

(deg.) (deg.) (deg.)

37032.5

35.0

37.5

40.0

42.5

45.0

47.5

5 0.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

37100.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

37140.0

45.0

50.0

55.0

60.0

65.0

70.0

75.0

80.0

85.0

90.0

95.0

37200.0

05.0

10.0

0.47

0.53

0.49

0.61

0.55

0.53

0.50

0.51

0.48

0.51

0.41

0.30

0.24

0.30

0.28

0.26

0.13

0.14

0.19

0.23

0.2?

0.26

0.19

0.17

0.18

0.20

0.18

0.17

0.16

0.13

0.07

0.05

0.09

0.17

0.27

0.30

0.26

0.19

0.18

0.18

0.18

0.19

0.21

0.23

0.00

0.01

-0.04

0.02

0.15

0.12

0.12

0.06

0.06

0.18

0.28

0.15

0.12

0.11

-0.01

0-00

0.01

0.01

0.01

0.01

0.00

-0.01

-0.02

-0.03

-0.04

-0.05

-0.06

-0.06

-0.06

-0.05

-0.03

-0.02

-0.01

-0.01

0.00

0.01

0.02

0.03

0.04

0.05

0.05

0.05

0.06

0.07

0.03

0.10

0.10

O.ll

0.13

0. 14

0.15

0.15

0.15

0.14

0.13

0.12

O.il

0.10

0.07

0.06

0.05

0.08

0.10

0.13

0.16

0.18

0.1 8

0.17

0.17

0.17

o.i a

0.20

0.46

0.53

0.5C

0.62

0.56

0.54

0.50

0.50

0.46

0.48

0.37

0.25

O.IK

0.24

0.22

0.71

0.10

0.1?

O.lb

0.2?

0.2?

0.27

0.21

0.20

0.2?

0.25

0.23

0.22

0.22

0.20

0.15

0.15

0.19

0.28

0.40

0.44

0.41

0.34

0.33

0.32

0.31

0.31

0. 32

0.33

0.07

0.07

0.01

0.10

0.25

0.25

0.28

0.24

0.24

0.35

0.45

0.32

0.30

0.31

- 1 6

- 1 5

- 1 6

- 1 6

- 1 7

- 1 6

. 1 0

. 0 4

. 0 7

. 9 8

. 0 2

. 0 4

. 0 8

. 0 8

. 1 2

. 1 0

. 2 1

. 3 8

. 5 2

. 3 9

. 4 2

. 4 4

. 7 6

. 6 8

. 5 0

. 4 2

. 4 2

. 3 3

. 4 4

. 4 6

. 4 2

. 3 6

. 4 0

. 4 2

. 4 1

. 4 5

. 5 8

. 5 8

. 4 7

. 3 0

. 1 5

. 1 1

. 1 4

. 2 2

. 2 4

. 2 6

. 2 7

. 2 7

. 2 6

. 2 5

. 9 2

. 9 1

. 7 5

. 7 5

. 3 5

. 3 6

. 3 1

. 3 8

. 3 8

. 2 1

. 1 0

. 2 5

. 2 7

. 2 6

-16.12

. 0 6

. 0 8

-15.99

-16.03

. 0 5

. 0 8

. 0 8

. 1 2

. 1 0

. 2 2

. 3 9

. 5 3

. 4 0

. 4 4

. 4 6

. 7 7

. 6 9

. 5 1

. 4 1

. 4 0

. 3 1

. 4 1

. 4 3

. 3 8

. 3 2

. 3 6

. 3 8

. 3 9

. 4 4

. 5 7

. 5 8

. 4 8

. 3 2

. 1 7

. 1 3

. 1 6

. 2 4

. 2 5

.27

.28

. 2 8

. 2 6

-16.25

. 9 3

. 9 3

-17.77

-16.77

. 3 6

. 3 5

. 2 8

. 3 4

. 3 5

. 1 9

. 0 9

. 2 6

. 2 9

. 2 8

1073

1097

10*6

1126

1107

1100

1087

1087

1072

1079

1036

9 7 8

9 3 6

97 3

9 6 2

9 5 6

8 72

8 9 3

9 4 2

9 7 0

9 72

1003

9 7 0

9 6 6

9 7 9

998

9 8 6

9 7 8

9 7 7

96 2

9 2 4

9? 2

9 4 9

1000

1053

1068

1056

1026

1021

1017

1013

1013

1018

10?3

8 34

8 3 4

2 4 1

8 7 3

986

9 9 0

1011

9 91

9 9 1

1045

1082

1021

1008

1012

651.6

651.5

651.7

652.2

652.9

653.6

654.1

654.5

654.5

654.3

654.0

653.5

652.9

65?.3

652.0

652.0

652.4

653.2

654.4

655.9

657.6

659.3

660.8

662.0

662.7

662.9

662.5

661.6

660.2

658.5

656.7

654.9

653.4

652.1

651.3

651.0

651.0

651.4

652.0

652.7

653.3

653.8

653.9

654.2

653.2

651.6

650.6

651.1

653.4

656.8

660.2

662.2

662.0

659.7

65o.4

653.2

651.3

650.9

167.9

167.3

167.1

167.3

168.2

169.8

172.2

175.0

176.0

180.9

183.4

185.1

186.1

186.4

186.1

185.4

184.5

183.5

182.6

182.0

181.8

182.3

183.5

185.4

187.9

190.7

193.5

195.9

197.8

198.8

199.2

198.9

198.2

197.2

196.1

195.1

194.3

193.9

194.2

195.1

196.7

199.1

201.9

204.8

209.6

211.8

211.6

210.0

20R.6

208.6

211.2

216.6

222.8

227.4

229.1

228.6

227.1

226.0

161.9

156.3

150.7

145.5

140.9

137.0

134.2

132.3

131.6

131.9

133.3

135.8

139.1

143.2

147.8

152.9

158.2

163.6

168.9

174.0

178.0

176.2

172.6

169.5

167.1

165.4

164.2

163.6

163.2

162.8

161.9

160.2

157.7

154.3

150.3

145.8

141.2

136.7

132.4

128.6

125.4

123.1

121.7

121.4

123.a

130.0

138.4

147.0

152.1

150.6

144.4

137.3

131.8

129.1

129.2

131.0

133.0

133.3

135.9

133.1

130.0

127.2

124.8

123.1

122.1

122.0

122.8

124.5

126.9

129.9

133.3

136.9

140.6

144.0

147.1

149.6

151.5

152.8

153.7

154.4

155.2

156.2

157.7

159.7

162.2

165.0

167.8

169.7

169.4

166.6

162.1

156.9

151.4

145.9

140.7

136.0

131.9

128.6

126.3

125.1

125.0

126.1

131.6

140.8

152.6

165.6

178.1

169.1

159.4

153.0

150.2

151.1

155.0

160. 0

162.8

160.5
5 8 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. S

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 01

MJD -107P 107PR -107P A logp. logp, T,

(km) (deg.) (deg.) (deg.)

37215.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

37280.0

85.0

90.0

95.0

37300.0

05.0

10.0

15.C

20.0

25.0

30.0

35.0

40.0

45.0

50.0

55.0

60.0

65.0

70.0

75.0

80.0

85.0

90.0

95.0

37400.0

05.0

10.0

15.0

0.22

0.08

0.13

0.15

0.19

0.07

0.04

0.08

-0.05

-0.10

-0.13

-0.21

-0.24

-0.23

0.88

-0.05

-0.10

-0.12

-0.14

0.03

0.08

0.13

0.16

0.23

0.30

0.40

0.44

0.30

0.06

-0.01

-0.04

-0.12

-0.15

-0.17

-0.25

-0.2't

-0.26

-0.31

-0.37

-0.31

-0.30

-0.18

-0.15

-0.03

-0.02

-0.05

-0.11

-0.10

-0.10

-0.08

-0.15

-0.21

-0.12

0.00

0.21

0.22

0.23

0.24

0.24

0.24

0.24

0.25

0.25

0.25

0.25

0.25

0.26

0.26

0.27

0.28

O.?8

0.29

0.30

0.30

0.30

0.29

0.27

0.22

0.17

0.10

0.05

0.00

0.13

0.18

0.19

0.23

0.26

0.30

0.30

0. 30

0.30

0.31

0.31

0.31

0.32

0.32

0.31

0.29

0.26

0.24

0.25

0.28

0.30

0.31

0.31

0.30

0.26

0.16

0.4 3

0.30

0.36

0.39

0.43

0.31

0.28

0.33

0.20

0.15

0.12

0.04

0.02

0.03

1.15

0.23

0.18

0.17

0.16

0.33

0. 38

0.42

O.«3

0.45

0.47

0.50

0.49

0.30

0. 19

0. 17

0.15

0.11

0.11

0. 13

0.05

0.06

0.04

0.00

-0.0 6

0.00

0.02

0. 14

0. 16

0.26

0.24

0.19

0.14

0.18

0.20

0.23

0.16

0.09

0. 14

0. 16

- 1 .12

.28

.20

.17

.13

.27

.32

.24

.46

.58

.68

17.16

.46

.29

15.71

16.41

.52

.55

.58

.27

.21

.17

.16

.1 3

.11

.OB

16.08

.29

.48

.53

.59

.73

.73

.67

17.09

.01

.18

17.51

lfc.67

.61

.39

.42

.52

.65

.55

.52

.46

.62

.87

.66

.bO

1^.14

.30

.18

.14

.28

.26

.48

.61

.71

17.19

.49

.31

•15.73

•IS.43

. 5 3

. 5 5

.57

.25

.19

. 1 4

.13

.11

.09

. 0 6

-16.08

.30

.50

.55

.61

.74

.74

.68

-17.10

.03

.21

17.49

16.64

.58

.38

.42

.54

.68

.57

.53

.47

.62

.87

.67

.61

1064

1007

1035

1048

1064

1011

996

1019

94 8

913

888

753

581

697

1250

965

935

930

924

1072

1046

1064

1068

1077

1084

1094

1089

100 7

943

929

915

881

880

896

784

806

584

906

921

9 no

966

934

fl<76

924

9T5

95 2

910

849

897

913

651. 5

652. 1

652.7

653.0

652.9

652.6

652.0

651.1

650.2

649.4

64 8.8

648.5

648.6

649.3

650.4

651.9

653.7

655.6

657.5

659. I

660.3

660.9

661.0

660.5

659.4

653.0

656.2

653.2

651.0

650.3

651.1

652.4

653.2

652.8

651.5

650.0

649.5

650.6

653.5

657. 1

660.4

661.8

660.8

657.8

654.2

651.3

650.2

650.8

652.5

654.1

654.7

654.1

652.7

651.5

226.8

228.2

230.3

233.0

236.1

239. 1

241.7

243.7

245.0

245.5

245.4

244.8

243.9

242.9

241.9

241 .1

240.7

240.9

241.8

243.3

245.5

248.2

251.0

2 53.5

255.4

256.6

257.1

256.1

253.8

251.4

250.4

2 52.0

256.4

261.6

265.3

266.3

265.0

263.0

261.5

261.9

265.2

270.9

276.6

2 80.2

280.9

279.9

278.3

277.7

2 79.3

283.7

289.8

295.0

297.5

297.4

131.2

129.5

127.4

125. 3

123.3

121. 4

119.9

118.8

118.0

117.5

117.1

116.7

116.1

115.2

113.8

111.9

109.5

106.7

103.6

100.4

97.3

94.6

9?. 4

91. 0

90.6

91.1

92.6

97.9

104.9

111.5

115.6

116.0

112.9

108.0

103.1

99.3

97.0

95.7

94.2

91.8

88.2

84.1

80.5

78.5

78.5

80.1

81.7

81.9

79.7

75.1

69.1

63.5

60.3

61.0

154.9

152.0

149.3

147.2

145.6

144.7

144.4

144.5

145.0

145.6

145.8

145.6

144.5

142.5

139.6

135.9

131.8

127.5

123.3

119.4

116.0

113.5

111.8

111.3

111.8

113.3

115.8

123.0

131.5

139.0

142.8

141.8

137.7

132.9

129.2

127.0

125.6

124.0

121.2

116.9

112.0

107.8

105.4

105.4

107.4

110.0

111.4

110.2

106.1

100.0

93.8

89.3

87.9

89.8
MO. l DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 5 9

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 01 (5-day)

MJD -107P 107P« -107PA log p. logp, Tr

(km) (deg.) (deg.) (deg.)

36875.0

80.0

85.0

90.0

95.0

36930.0

35.0

40.0

45.0

50.0

55.0

60.0

65.0

70.0

75.0

80.0

85.0

90.0

95.0

37000.C

05.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

50.0

55.0

60.0

65.0

70.0

75.0

80.0

85.0

90.0

95.0

37100.C

05.0

10.0

15.0

20.0

25.0

30.0

1.01

0.87

0.75

0.60

0.53

0.77

0.85

0.71

0.59

0.56

0.67

1.04

1.25

0.92

0.64

0.47

0.37

0.46

0.48

0.42

0.33

0.34

0.31

0.52

0.72

0.54

0.50

0.56

0.53

0.50

0.47

0.31

0.29

O.?3

0.15

0.22

0.23

0.18

0.18

0.17

0.12

0.06

0.18

0.28

0.20

0.18

-O.?3

-0.J2

-O.?C

-0.17

•0.13

-0.10

-0.22

-0.22

-0.19

-0.18

-0.17

-0.16

-0.16

-0.15

-0.13

-0.10

-0.08

-0.07

-0.07

-0.07

-0.09

-0.10

-0.1C

-0.08

-0.05

-0.02

0.00

0.01

0.01

-0.01

-0.03

-0.05

-0.06

-0.05

-0.0?

-0.01

0.01

0.03

0.05

0.05

0.07

0.10

O.ll

0.14

0.15

0.14

0.78

0.65

0.55

0.43

0.40

0.67

0.63

0.49

0.40

0.38

0.50

0.88

I .09

0.77

0.51

0.37

0.29

0.39

0.41

0.35

0.29

0.24

0.21

0.44

0.67

0.52

0.50

0.57

0.54

0.49

0.44

0.26

0.23

0. 18

0.13

0.21

0.24

0.21

0.23

0.22

0.19

0. 16

0.29

0.42

0.35

0.32

15.94

-16.01

.07

.16

.19

•16.00

.02

.13

.21

.23

.11

15.87

.77

.91

-16.08

.21

.31

.19

.17

.25

.34

.42

.47

.13

•15.94

-16.05

.06

.01

.04

.09

.14

.36

.41

.51

.65

.44

.38

.44

.40

.42

.48

.55

.29

.13

.21

.26

-15.95

16.02

.09

.19

.21

•15.99

16.02

.13

.22

.24

.11

-15.86

.77

.92

•16.09

.23

.33

.20

.17

.23

.30

.38

.43

.12

•15.94

•16.06

.08

.03

.05

.09

.14

.37

.42

.52

.65

.43

.36

.40

.36

.38

.46

.55

.30

.15

.23

.27

1142

1110

1084

1045

1036

1123

1111

1067

1034

1027

1074

1183

1230

1158

1082

1031

995

1042

1054

1032

1006

981

96 3

1073

1146

1096

1087

1110

1100

1083

1064

98 3

967

93 7

902

964

986

972

986

978

955

930

1005

1060

1030

1017

651.9

651.3

649.9

648.7

648.8

656.2

655.0

653.8

653.3

653.8

654.9

655.5

655.0

653.4

651.4

651.2

651.4

653.4

656.7

660.4

662.9

663.3

661.4

658.1

654.6

652.2

651.5

652.2

653.6

654.5

654.3

653.5

652.3

652.0

653.2

655.9

659.3

662.0

662.9

661.6

658.5

654.9

652.1

651.0

651.4

652.7

120.8

126.5

131.2

133.1

132.4

142.2

142.7

141.1

138.6

136.8

136.9

139.8

145.1

150.4

153.4

153.7

152.4

150.6

150.0

151.6

156.2

162.4

167.6

170.2

170.1

168.7

167.3

167.3

169.8

175.0

180.9

185.1

186.4

185.4

183.5

182.0

182.3

185.4

190.7

195.9

198.8

198.9

197.2

195.1

193.9

195.1

123.6

129.1

134.1

136.1

133.5

117.5

124.9

131.6

136.3

138.7

140.0

141.6

144.6

148.9

153.0

154.4

151.6

146.1

140.5

137.0

137.0

141.0

148.5

158.6

168.1

166.9

156.3

145.5

137.0

132.3

131.9

135.8

143.2

152.9

163.6

174.0

176.2

169.5

165.4

163.6

162.8

160.2

154.3

145.8

136.7

128.6

98.7

104.3

108.1

108.6

105.4

97.2

102.4

106.3

108.9

110.8

113.1

116.3

120.2

124.0

126.0

125.5

122.4

118.4

115.3

114.7

117.4

123.0

130.2

136.8

140.0

138.3

133.1

127.2

123.1

122.0

124.5

129.9

136.9

144.0

149.6

152.8

154.4

156.2

159.7

165.0

169.7

166.6

156.9

145.9

136.0

128.6
6 0 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. 8

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 02

MJD

363*0.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

36390.0

91.0

92.0

93.0

94.0

36395.0

97.5

36400.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.0

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

-107P

1.69

1.74

1.82

1.94

2.40

2.56

2.52

2.41

2.38

2.36

2.17

1.79

1.34

1.03

1.15

1.49

1.68

1.83

1.63

1.50

1.60

2.00

2.30

2.30

1.80

1.00

0.73

0.86

0.93

1.06

1.31

1.76

2.22

2.66

?.87

2.56

2.28

2.lh

2.0?

2.13

2.35

2.60

3.26

4.06

4.70

4.66

4.72

5.12

4.73

4.23

4.46

5.54

5.5»

3.90

3.59

4.06

4.2*

4.06

107P»

0.20

0.21

0.21

0.21

0.20

0.20

0.19

0.17

0.15

0. 13

0.11

0.09

0.06

0.04

0.01

0.00

0.00

0.00

0.00

0.00

o.oc

o.oc

0.00

0.00

0.00

o.oc

0.04

0.09

0.14

0.16

0.16

0.15

0.14

0.'3

0.12

0.10

0.09

0 . <)B

0.0 7

0.06

0.05

0.0b

0.04

0.04

0.03

0.02

0.01

0.00

-0.01

-0.02

-0.03

-0.04

-0.05

-0.06

-0.06

-0.06

-0.06

-0.05

-10 7 P A

1.9

2 . 0

2 . 0

2 . 2

2 . 6

2 . 8

2 . 7

2 . 6

2 . 5

2 . 5

2 . 3

1.9

1.4

1.1

1.2

1.5

1.7

1 . 8

1 . 6

1.5

1 . 6

2 . 0

2 . 3

2. 3

1 . 8

1 . 0

O.fl

1 . 0

L.I

1.2

1.5

1 . 9

2 . 4

2 . 8

3 . 0

2 . 7

2 . 4

2.2

2. 1

2 . 2

2 . 4

2 . 6

3 . 3

4. I

4 . 7

4 . 7

4 . 7

5 . 1

4 . 7

4 . 2

4 . 4

5 . 5

5 . 5

3 . 8

3 . 5

4 . 0

4 . 2

4 . 0

logp.

-15.53

. 5 1

. 5 1

. 4 7

. 3 9

. 36

. 3 7

. 3 8

. 3 9

. 3 9

. 4 2

. 5 C

. 6 3

. 7 4

. 7 0

. 6 0

. 5 5

. 5 3

. 5 8

. 6 2

-15.60

. 5 0

. 4 4

. 4 4

. 5 5

-15.81

. 9 1

. 8 1

. 7 7

. 7 2

. 6 2

. 5 2

. 4 1

. 3 4

. 3 1

. 3 5

. 4 0

.4'+

. 4 6

. 4 4

. 4 0

. 3 7

. 2 6

. 1 7

. 1 0

. 1 0

. 1 0

. 0 6

. 1 0

. 1 4

.12

. 0 3

. 0 3

. 1 9

. 2 3

. 1 7

. 1 5

. 1 7

logp.

-15.55

.53

. 5 2

. 4 8

. 4 0

. 3 6

. 3 7

. 3 9

. 4 0

. 4 0

. 4 3

. 5 1

. 6 4

. 7S

. 7 1

. 6 0

. 5 4

. 5 ?

. 5 6

. 5 9

-15.56

. 4 7

. 4 1

. 4 1

.52

-15.78

. 8 8

. 7 9

. 7 5

. 7 1

. 6 2

. 5 2

. 4 2

. 3 5

. 3 2

. 3 6

. 4 1

. 4 5

. 4 6

. 4 4

. 4 0

. 3 7

. 2 6

. 1 7

. 1 1

. 1 1

. 1 1

. 0 7

. 1 1

. 1 5

. 1 3

. 0 3

. 0 2

. 1 7

. 2 0

. 1 4

.12

. 1 4

T.

(°K)

1359

1375

137R

1408

1462

1489

14H0

14/0

1460

1462

1437

1383

1304

1248

1270

1328

1364

13R2

1352

1336

1352

1414

1455

1454

1381

1234

1193

1228

1247

1265

1318

1380

1448

1498

1522

1488

1453

142 8

1416

1432

1460

1487

1571

1657

1717

1717

1717

1757

1720

1673

1698

1814

1821

1652

1623

1684

1709

1688

z

(km)

653.0

653.9

654.8

655.7

656.4

656.8

656.8

656.6

656.1

655.4

654.9

654.6

654.7

655.2

656.1

657.6

659.3

661.2

663.0

664.3

665.7

665.9

666.1

666.2

666.2

666.1

665.3

664.0

662.3

660.4

658.5

656.9

655.6

654.8

654.5

654.7

655.3

656.1

656.9

657.7

658.2

658.3

6">8.2

657.5

656.8

656.0

655.4

655.0

655.1

655.6

656.7

658.1

659.9

661.8

663.6

665.1

666. 1

666.6

o,-oo

(deg.)

308.1

308.6

3 09.8

311.8

314.5

317.6

320.8

323.5

325.5

326.7

327.1

326.8

326.1

325.2

324.2

323.3

322.8

323.0

323.8

325.5

328.0

329.2

330.4

331.7

333.0

334.3

337.3

339.6

341.2

342.0

342.1

341.6

340.8

340.0

339.2

338.8

338.8

339.6

341. I

343.5

346.6

3 50.0

353.2

356.1

358.1

359.4

359.9

359. 8

3 59.4

358.7

358.1

357.7

357.8

358.4

359.9

2 . 1

5 . 1

8 . 6

(deg.)

48.9

47.7

46.2

44.2

41.9

39.2

36. *

33.7

31.6

30.5

30.9

32.8

36.1

40. 3

44.9

49.6

54.0

57.8

60.8

62.7

63.5

63.4

63.2

62.7

62.1

61.3

58.5

54.7

50.2

45.1

39.7

34.3

29.4

25.2

22.1

20.6

20.4

21.2

22.4

23.3

23.7

23.4

22.2

20.1

17.2

13.5

9 . 2

4 . 4

0 . 9

6. 1

11.3

16.4

21.0

25.2

28.5

31.0

32.6

33.1

(deg.)

76.6

74.7

72.3

69.7

66.8

63.9

61.3

59.2

57.9

57.6

58.4

60.3

63.0

66.4

70.0

73.6

76.8

79.3

81.0

81.6

81.2

80.7

80.0

79.2

78.3

77.2

74.1

70.4

66.5

62.6

59.0

55.9

53.3

51.4

50.1

49.2

48.5

47.9

47.0

45.8

44.2

42.2

39.7

37.1

34.5

32.2

30.7

30.0

30.4

31.8

33.7

36.0

38.0

39.7

40.6

40.7

39.8

37.8
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 6 1

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 &2

MJD -10 7P 107P, -107P A log p. log p. T. z «-aG *; tf,

(deg.) (deg.) (deg.)

36477.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

36499.0

36500.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

5 0.0

52.5

55.0

57.5

60.0

62.5

65.0

67.t>

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

36600.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

5.15

5.23

4.91

4.98

4.80

5.57

6.66

7.01

8.15

8.65

8.00

6.28

6.23

6.23

5.79

5.46

5.00

4.49

4.00

3.90

4.13

4.28

5.00

5.62

6.26

6.69

6.89

5.96

4.98

5.31

5.48

4.77

3.62

3.52

3.6 9

4.25

4.68

4.95

4.98

5.06

5.38

5.70

5.15

4.23

3.79

4.00

4.40

4.79

5.26

4.92

4.72

4.53

4.10

3.56

3.52

3.43

3.88

3.82

-0.04

-0.04

-0.05

-0.06

-0.07

-0.08

-0.09

-0.11

-0.13

-0.15

-0.15

-0.16

-0.16

-0.15

-0.1 3

-0.09

-0.03

0.00

0.00

0.00

0.00

0.00

0.00

0.00

-0.02

-0.05

-0.08

-0.10

-0.12

-0.14

-U.16

-0.17

-0.19

-0.20

-0.20

-0.21

-0.21

-0.22

-O.?2

-0.22

-0.23

-0.23

-0.24

-0.25

-0.26

-0.26

-0.26

-0.25

-0.24

-0.17

-0.11

-0.01

0.00

0.00

0.00

-0.02

-0.08

5 . 1

5 . 2

4 . 9

4 . 9

4 . 7

5.5

6 . 6

6 . 9

8 . 0

8 . 5

7 . 9

6. 1

6 . 1

6 . 1

5 . 7

5 . 4

5 . 0

4 . 5

4 . 0

3 . 9

4 . 1

4 . 3

5 . 0

5 . 6

6 . 2

6 . 6

6 . 8

5 . 9

4 . 9

5 . 2

5 . 3

4 . 6

3 . 4

3 . 3

3 . 5

4 . 0

4 . 5

4 . 7

4 . 8

4 . 8

5 . 2

5 . 5

4 . 9

4 . 0

3 . 5

3 . 7

4 . 1

4 . 5

5 . 0

4 . 7

4 . 6

4 . 4

4 . 1

3 . 6

3 . 5

3 . 4

3 . 9

3 . 7

-15.06

. 0 6

. 0 8

. 0 8

. 0 9

. 0 2

-14.94

. 9 2

. 8 6

-14.83

-14.86

. 9 8

. 9 8

. 9 8

-15.01

. 0 4

. 0 7

. 1 2

. 1 7

. 1 8

.1 6

. 1 3

. 0 7

. 0 2

-14.97

. 9 4

. 9 3

. 9 9

-15.07

. 0 5

. 0 4

. 1 0

. 2 3

.25

. 2 2

. 1 6

. 1 1

. 0 9

. 0 8

. 0 8

. 0 5

. 0 3

. 0 8

. 1 7

. 2 3

. 2 1

. 1 6

. 1 2

. 0 8

. 1 0

. 1 1

. 1 3

.16

. 2 1

. 2 2

. 2 3

. 1 7

. 2 0

-15.03

. 0 3

. 0 6

. 0 6

. 0 8

. 0 2

-14.94

. 9 3

. 8 7

-14.84

-14.87

. 9 9

. 9 8

. 9 8

-15.01

. 0 3

. 0 7

. 1 1

.17

.18

. 1 6

.14

. 0 8

. 0 3

-14.98

. 9 5

. 9 4

. 9 9

-15.07

. 0 4

.02

.08

.2 1

.22

. 2 0

. 1 5

. 1 0

. 0 9

. 0 9

. 0 9

. 0 6

. 0 5

.10

. 1 9

.25

.23

.18

. 1 4

. 0 9

. 1 1

.12

. 1 4

. 1 7

. 2 3

. 2 4

. 2 6

. 2 0

. 2 2

1805

1812

1778

1773

1747

1822

1920

1943

2036

2077

2025

1864

1865

1867

1832

1804

1766

1714

1660

1647

1665

1684

1753

1810

1868

1908

1932

1856

1765

1801

1817

1749

1617

1605

162 7

1680

1728

1742

1 7*>4

1736

1768

1789

172 7

1635

1580

1603

1646

1689

1741

1714

170 5

16R5

1653

1598

1586

1574

16?8

1608

666.4

665.6

664.3

662.6

660.8

659. 1

657.7

656.6

656.0

655.9

655.9

656.2

656.8

657.5

658.3

658.8

659.1

659.0

658.5

657.8

656.8

655.9

655.2

654.8

654.8

655.3

656.4

657.8

659.4

661.1

662.7

663.9

664.6

664.6

664.1

662.9

661.3

659.4

657.5

655.6

654.1

653.0

652.4

652.3

652.5

653.4

654.2

654.8

655.3

655.5

655.3

654.8

654.0

653.1

652.3

651.7

651.5

65 1.7

12.1

15.2

17.6

19.2

19.9

20.0

19.6

18.9

18.1

17.7

17.5

17.2

17.4

18.4

20.1

22. 6

25.6

28.9

31.8

34.2

35.7

36.4

36.4

35.8

34.9

33.8

32.8

32.0

31.7

32.1

33.3

35.4

38.0

41.0

43.9

46.3

48.0

48.8

48.9

48.3

47.4

46.2

45.1

44.2

43.8

44.0

45.0

46.9

49.4

52.5

55.6

58.4

60.6

61.9

62.5

62.4

61.8

61.1

32.6

31.1

28.3

26.0

23.0

20.5

19.4

20.4

23.6

26.2

28.1

33.4

38.9

44.2

48.9

53.0

56.1

58.0

58.8

58.4

56.8

54.2

50.8

46.7

42.4

38.1

34.3

31.3

29.6

29.4

30.4

32.4

34.8

37.3

39.6

41.6

43.3

44.7

46.0

47.2

48.6

50.4

52.5

55.1

58.1

61.3

64.5

67.6

70.2

72.3

73.6

74.0

73.5

72.2

70.1

67.6

64.8

62.2

34.8

31.0

26.3

21.1

15.8

11.4

10.3

13.7

19.2

22.9

25.4

31.4

37.0

41.9

45.9

48.9

50.6

51.1

50.4

48.4

45.3

41.3

36.6

31.2

25.5

19.7

13.8

8 . 2

3.2

2 . 7

6 . 6

9 . 9

12.6

14.5

15.6

16.3

16.7

17.3

18.5

20.6

23.7

27.5

32.0

36.7

41.4

45.8

49.8

53.0

55.3

56.5

56.6

55.6

53.4

50.3

46.5

42.2

37.8

33.7
6 2 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. g

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 02

MJD

36620.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

36700.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

36760.0

61.0

62.0

-107P

3.4C

4.03

4.40

4.28

3.89

3.55

3.60

3.69

3.77

3.74

3.80

4.00

4.24

4.58

4.16

3.82

3.71

3.54

3.64

3.84

4.08

3.89

3.64

3.47

3.44

3.59

3.56

3.40

3.08

2.27

2.41

2.74

2.71

2.50

2.43

2.26

2.C2

1.43

1.32

1.11

0.80

0.99

0.92

0.96

1.02

1.20

1.21

l.2'J

1.17

1.43

1.35

1.41

1.55

1.46

1.27

1.09

1.34

1.43

1.47

107P»

-0.13

-0.18

-O.?l

-0.24

-0.2 5

-0.26

-0.27

-O.?8

-0.28

-0.27

-0.26

-0.25

-0.24

-0.23

-0.22

-0.22

-0.22

-0.22

-0.23

-0.24

-0.25

-0.26

-0.27

-0.28

-0.2 8

-0.29

-0.29

-0.29

-0.28

-0.28

-0.28

-0.27

-0.27

-0.27

-0.26

-0.26

-0.27

-0.27

-0.26

-0.20

-0.11

-0.12

-0.14

-0. 18

-0.19

-0.17

-0.12

-0.08

-0.07

-0.08

-0.06

-0.03

-0.04

-0.09

-0.15

-0.19

-0.22

-0.23

-O.?4

-10 7 P A

3 . 3

3 . 8

4 . 2

4 . 0

3 . 6

3 . 3

3 . 3

3 . 4

3 . 5

3 . 5

3 . 6

3 . 8

4 . 0

4 . 4

3 . 9

3 . 6

3 . 5

3 . 3

3 . 4

3 . 6

3 . 8

3 . 6

3 . 4

3 . 2

3 . 2

3 . 3

3 . 3

3 . 1

2 . 8

2 . 0

2 . 1

2 . 5

2 . 4

2 . 2

2 . 2

2 . 0

1 . 8

1 . 2

1. 1

0 . 9

0 . 7

0 . 9

0 . 8

0 . 8

0 . 8

1 . 0

1 . 1

1. 1

1.1

1 . 4

1 . 3

1 . 4

1 . 5

1 . 4

1 . 1

0 . 9

1 . 1

1.2

1.2

logp.

-15.25

. 1 9

. 1 5

. 1 7

. 2 2

. 2 6

. 2 6

. 2 5

. 2 4

. 2 4

. 2 3

. 2 0

. 1 8

. 1 3

. 1 8

. 2 2

. 2 3

. 2 6

.25

. 2 3

. 2 1

. 2 4

. 2 6

. 2 9

. 2 9

. 2 8

. 2 8

. 3 1

. 3 5

. 5 0

. 4 8

. 4 0

. 4 2

. 4 6

. 4 7

. 5 2

. 5 7

. 7 5

. 7 8

. 8 7

. 9 8

. 8 6

. 9 0

. 9 0

. 8 9

. 7 9

. 7 4

. 7 4

. 7 4

. 6 4

. 6 7

. 6 4

. 6 2

. 6 5

. 7 6

. 8 5

-15.77

. 7 4

. 7 4

log p.

-15.27

. 2 0

. 1 6

. 1 8

. 2 2

. 2 5

. 2 5

. 2 4

. 2 3

. 2 3

.22

. 2 0

. 1 8

. 1 5

. 2 1

. 2 5

. 2 6

. 2 9

.28

. 2 6

. 2 3

. 2 6

. 2 8

. 3 1

. 3 1

. 3 0

. 3 0

. 3 3

. 3 8

. 5 3

. 5 1

. 4 3

. 4 5

. 4 9

. 4 9

. 5 3

. 5 7

. 7 5

. 7 8

. 8 6

. 9 6

. 8 5

. 9 0

. 9 0

. 9 0

. 8 0

. 7 7

. 7 7

. 7 7

. 6 7

. 7 1

. 6 8

. 6 5

. 6 8

. 7 9

. 8 8

-15.79

. 7 6

. 7 6

T,

(°K)

1565

16?2

1667

1650

1609

1578

1579

1592

1602

1600

1608

1626

1642

1677

1621

1585

1570

1546

1555

1576

1596

1575

1553

1531

1530

1540

1538

1514

1477

1375

1387

1436

1423

1398

1398

1373

1346

1249

1232

1192

1144

1196

1173

1174

1173

1219

1238

1236

1234

1289

1270

1287

1303

1285

1228

1184

1225

1244

1243

z

(km)

652.4

653.6

655.2

656.9

658.6

660.1

661.2

661.7

661.6

660.9

659.6

657.9

656.1

654.2

652.6

651.3

650.5

650.3

650.4

651.0

651. 7

652.5

653.2

653.6

653.7

653.4

652.8

652.0

651.2

650.5

650.0

650.0

650.5

651.4

652.8

654.5

656.3

658.0

659.4

660.3

660.6

660.3

659.4

658. 1

656.3

654.5

652.8

651.3

650.2

649.7

649.6

650.0

650.6

651.5

652.3

652.9

653.5

653.5

653.5

(deg.)

60.2

59.6

59.3

59.6

60.7

62.6

65.4

68.6

72.2

75.4

78.1

79.9

8 1 . 0

81.3

81.1

80.5

79.8

79.2

78.8

79.0

79.8

81.5

83.9

87.0

90.4

93.7

96.4

98.4

99.6

100.0

99.8

99.1

98.3

9/.4

96.8

96.6

97.0

98.2

100.3

103.0

106.2

109.4

112.2

114.3

115.5

115.9

115.7

115.0

114.0

113.0

112.2

111.7

111.8

112.6

114.3

116.7

119.7

121.0

122.3

+0

(deg.)

60.0

58.6

58.2

58.9

60.6

63.3

66.5

70.0

73.4

76.5

79.0

80.8

81.8

82.1

81.6

80.8

79.6

7B.5

77.6

77.2

77.3

78.1

79.5

81.4

83.7

86. 1

88.5

90.8

9?.8

94.4

95.8

97.0

98.0

99.1

100.4

102.0

104. I

106.5

109.2

112. 1

115. 1

117.7

119.9

121.2

121.4

120.6

118.7

115.9

112.5

108.9

105.4

102.2

99.7

98.2

97.6

98.1

99.7

100.6

101.6

(deg.)

30.6

29.1

29.5

31.6

34.9

38.9

42.9

46.6

49.8

52.2

53.7

54.4

54.3

53.5

52.3

51.0

49.7

48.9

48.6

49.1

50.2

52.0

54.2

56.6

59.0

61.2

63.0

64.5

65.7

66.7

67.5

68.4

69.5

71.0

73.1

75.6

78.6

81.8

85.3

88.6

91.5

93.9

95.4

95.9

95.4

93.8

91.5

88.4

85.1

81.7

78.6

76.1

74.4

73.7

74.1

75.4

77.5

78.6

79.7
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 6 3

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 02

MJD -107P 107PH -107PA logp, log p. T.

(km) (deg.) (deg.) (deg.)

16763.0

64.0

65.0

66.0

67.0

68.0

69.3

J6770.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

36800.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

1.S2

2.43

2.60

2.25

1.56

1.13

0.87

0.87

1.01

0.93

D.90

0.87

0.85

0.81

0.83

0.75

0.73

T.3C

0.84

0.33

0.36

0.39

0.99

1.17

1.53

1.6?

1.25

0.82

0.62

0.66

0./9

0.9^

I.10

I. 31

0.97

0.96

0.78

0.31

0.5*;

0.46

0.42

0.50

0.55

0.63

0.62

0.75

0.55

0.68

0.6?

0.57

0.64

0.49

0.50

0.42

0.65

0.71

0.66

0.59

0.87

-0.24

-0.24

-3.?4

-3.23

-0.22

- 0 . 19

-0.17

-0.15

-0.15

-0.18

-0.21

-0.21

-0.2 0

-0.19

- 0 . 18

-0.18

-0.18

-0.18

-0.17

-0.17

-0.16

-0.15

-0.14

-0.14

-0.12

-0.10

-0.10

-0.10

-0.09

-0.09

-0.09

-0.09

-0.09

-0.09

- 0 . 10

-0.09

-1.09

-0.09

-3.09

-3.07

-3.Co

-0.C5

-0.04

-0.03

-0.02

O.CG

0.01

0.00

0.00

0.02

0.02

o.no

-0.04

-0.08

-0.05

-O.n4

-0.04

-0.04

1.6

2.2

2.4

2 . 0

1.3

0.9

0 . 7

0.7

0.9

0.8

0.7

0.7

0.6

0.6

0.6

0.6

0.6

0.6

0.7

0.7

0.7

0. 7

0.8

1.0

1.4

1.5

1.2

0.7

0.5

0.6

0.7

0.8

1.0

1.2

0.9

0.9

0.7

0.7

0.5

0.4

0.4

0.4

0.5

0.6

0.6

0.7

0.6

0.7

0.6

0.6

0.6

0.5

0.5

0.4

0.6

0.7

0.6

0.6

0.8

-15.61

.48

.44

.52

.71

.87

.98

-15.98

.87

.9?

.97

.97

-16.04

.04

.04

.04

.04

.05

•15.98

.98

.97

.97

.90

.80

.65

.61

.70

.94

-16.08

.00

•15.94

.88

.79

.71

.84

.84

.95

.94

•16.08

.17

.17

.16

.06

•15.98

.98

.91

.98

.92

.99

.99

•16.00

.08

.08

.18

.00

•15.93

•16.00

-15.99

.86

-15.63

.50

.46

.54

.73

.89

-16.00

-16.00

-15.90

.95

-16.00

.00

.07

.06

.0r>

.05

-O'»

.03

-15.96

.9S

.95

.95

.89

.79

.65

.62

.73

.96

-16.12

.04

-15.98

.92

.82

.74

.87

.86

.97

.97

-16.11

.20

.20

.20

.10

.02

.01

-15.94

-16.00

-15.93

.99

.99

.98

• 16 . 06

.06

.16

-15.99

.93

•16.00

.00

-15.88

1310

1394

1418

1366

1257

1177

1127

1174

1151

1126

1127

1100

1102

1105

1108

mi

1114

1146

1148

1150

1152

1179

1225

1302

1316

1260

1143

1080

llll

1138

1164

1210

1251

1189

1190

1141

1143

1083

1046

104 7

1048

1087

1121

1122

1154

1126

1159

1131

1134

1135

1102

1102

1133

1161

1129

1127

1181

653.4

653.3

fa53.2

653.0

652.7

652.5

652.2

652.0

651.3

650.9

650.8

651.2

652.1

653.4

655.2

657.1

659.0

660.7

562.1

662.8

662.9

662.3

661.2

659.5

657.6

655.6

653.7

652.2

651.1

650.5

650.4

650.7

651.3

652.0

652.7

653.1

653.3

653.1

652.6

652.0

651.3

650.7

650.3

650.4

650.9

651.9

653.4

655.2

657.1

659.0

660.5

661.6

662.1

661.9

661.1

659.6

657.8

655.8

653.8

121.6

124.8

125.9

126.9

127.8

128.6

129.2

129.8

130.5

130.6

130.?

129.4

128.6

127.8

127.4

127.6

128.4

130.1

132.6

135.7

139.2

142.6

145.4

147.5

148.8

149.2

149.?

148.7

148.0

147.4

147.0

147.1

147.8

149.3

151.6

154.6

158.1

161.5

164.5

166.8

168.?

168.9

168.9

168.4

167.7

166.9

166.3

166.1

166.4

167.5

169.4

172.0

175.2

178.4

181.4

183.7

185.1

185.7

185.5

L02.7

104.0

105.3

106.7

108.2

109.7

111.2

112.8

116.6

120.1

123.2

125.6

127.4

128.7

129.5

130.1

130.8

131.7

133.0

134.7

136.8

139.3

142.0

144.7

147.0

148.6

149.2

148.8

147.5

145.6

143.6

141.6

140.1

139.4

139.5

140.6

142.7

145.8

149.8

154.5

159.6

164.6

168.2

168.3

164.5

158.9

152.8

146.9

141.4

136.6

132.8

130.1

l?8.6

128.4

129.4

131.6

135.0

139.2

144.1

80.9

82.1

83.3

84.6

85.8

87.1

88.3

89.5

92.2

94.5

96.3

97.8

99.0

100.0

101.I

102.3

103.8

105.6

107.7

110.0

112.5

114.9

117.0

118.7

119.7

120.1

119.8

119.0

117.8

116.6

115.5

114.8

114.8

115.6

117.2

119.5

122.6

126.1

129.8

133.4

136.5

138.6

139.4

138.8

136.9

134.0

130.6

127.?

124.0

121.4

119.6

113.8

119.0

120.3

122.5

125.5

129.1

133.1

137.?

677-550 O - 63 - 5
64 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. g

TABLE 5.—Acceleration, draff, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 02

MJD

36900.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

3?.5

35.0

37.*>

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

35.0

87.5

90.0

92.5

95.0

97.5

37000.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

37020.0

21.0

22.0

23.0

24.0

25.0

26.0

27.0

28.0

29.0

-107P

0.7 2

0.75

0.76

0.72

0.77

0.49

0.40

0.27

0.19

0.16

0.32

0.29

0.31

0.23

0.27

0.24

0.26

0.29

0.29

0.37

0.37

0.37

0.4L

0.52

0.54

0.65

0.94

1.11

0.73

0.48

0.42

0.32

0.4C

0.36

0.23

0.24

0.26

0.25

0. J4

0.29

0.17

0.13

0.12

0.03

0.04

0.06

0.05

0.10

0.18

0.34

0.42

0.51

I.03

1.20

0.59

0.33

0.15

0.14

107PH

-O.D7

-0.06

-0.04

-0.0 2

-0.01

0.00

0.02

0.02

0.02

0.03

0.04

0.0<-

0.05

0.06

0.07

0.0H

0.09

0.10

0.10

0. 12

0.13

0.13

0.12

0.12

0.12

0.12

O.ll

0.C9

0.08

0.06

0.06

0.06

0.07

0.08

0.09

G.IO

O.ll

3.12

0.14

0.15

o.is

0.17

0.18

0.18

0.18

0.17

0.16

0.16

0.16

0.16

0.16

0. 16

0.16

0.16

0.16

0.16

0.16

0.17

-107PA

0 . 7

0 . 7

0 . 7

0 . 7

0 . 7

0 . 5

0 . 4

0 . 3

0 . 2

0 . 2

0 . 4

0 . 3

0 . 4

0 . 3

0 . 3

0 . 3

0 . 4

0 . 4

0 . 4

0 . 4

0 . 4

0 . 5

0 . 5

0 . 6

0 . 7

0 . 8

0 . 9

1.2

0 . 8

0 . 5

0 . 5

0 . 4

0 . 5

0 . 5

0 . 3

0 . 3

0 . 4

0 . 4

0 . 5

0 . 4

0 . 3

0 . 3

0 . 3

0 . 2

0 . 2

0 . 2

0 . 2

0 . 3

0 . 3

0 . 5

0 . 6

0 . 7

1.2

1 . 4

0 . 8

0 . 5

0 . 3

0 . 3

log p.

-15.92

. 9 1

. 9 1

. 9 1

. 9 1

-16.05

. 1 5

. 2 9

. 4 5

. 4 5

. 1 5

. 2 7

. 1 5

. 2 7

. 2 7

. 2 7

. 1 4

. 1 4

. 1 4

. 1 4

. 1 5

. 0 5

. 0 6

-15.98

. 9 1

. 8 6

. 8 1

. 6 8

. 8 6

-16.06

. 0 5

. 15

. 0 5

. 0 5

. 2 7

. 2 7

. 1 4

. 1 4

. 0 5

. 1 5

. 2 7

. 2 7

. 2 8

. 4 5

. 4 5

. 4 5

. 4 5

.n

-16.27

. 0 5

-15.97

. 9 0

. 6 7

. 6 0

. 3 4

-16.05

. 2 7

. 2 7

log P.

- 1 5

- 1 6

- 1 5

- 1 6

- 1 6

- 1 5

- 1 6

• ?4

. 9 5

. 9 5

.9b

. 9 5

. 0 9

. 1 8

. 3 0

. 4 7

. 4 7

. 1 7

. 3 0

. 1 7

. 3 0

. 3 0

. 3 0

.1H

. 1 8

. 1 8

. 1 8

. 1 7

. 0 7

. 0 6

. 9 8

. 9 1

. 8 5

. 7 9

. 6 7

. 8 5

. 0 6

. 0 6

. 1 7

. 0 8

. 0 8

. 3 1

. 3 1

. 1 8

. 1 8

. 0 8

. 1 8

. 3 0

. 3 0

. 3 0

. 4 7

. 4 7

. 4 8

. 4 8

. 3 1

. 3 1

. 0 9

- 0 1

. 9 4

. 7 1

. 6 4

. 8 8

. 0 8

. 3 0

. 3 0

T,

(°K)

1152

llr>l

1150

1150

1150

109 1

1C55

1011

956

95 7

1059

1013

1058

1012

1011

1010

10S4

1055

1055

1056

10S8

1099

1101

1137

1169

1198

1224

12H9

1196

1103

1100

1060

1096

1094

1010

1009

1054

1054

109 3

10S6

1012

1013

1013

9 5 6

9 5 6

955

9 5 5

1010

1009

1092

1125

1155

1268

1308

1182

1093

1011

1012

z

(km)

652.0

650.6

649.7

649.3

649.3

651.2

652.0

652.9

653.6

654.0

654.0

653.7

653.1

652.3

651.4

650.7

650.?

650.2

650.7

651.7

653.1

654.7

656.5

658.1

659.4

660.2

660.4

660.0

659.0

657.6

655.9

654.1

652.4

651.1

650.1

649.7

649.8

650.3

651.1

652.0

652.8

653.4

653.7

653.7

653.3

652.6

651.7

650.9

650.4

650.2

650.1

650.1

650.2

650.3

650.6

650.9

651.2

651.7

(deg.)

I 84 . 9

183.8

182. 7

181.7

lM.n

180.8

181.2

182.5

184.6

167.3

190.3

193.1

195.4

196.8

197.5

197.5

196.8

195.9

194. 7

193.7

192.9

192.6

193.0

194.2

196.3

199.1

202.3

205.5

208.2

210.2

211.4

211.9

211.7

211.1

210.3

209.5

208.9

208.8

209.2

210.4

21?.5

215.3

218.6

222.1

225.2

227. 6

229.3

230.1

230.3

2 30.2

230.1

229.9

229.6

229.4

?29.1

228.8

228.6

228.3

(deg.)

149.6

155.4

161.3

167. 2

172.8

177.8

177.2

173.3

170.1

167.6

166.0

165.1

164.6

164.4

163.3

162.5

160.1

156.8

152.6

148.0

143.2

138.5

134.1

130.2

127.2

125.1

124.1

124.3

125.6

128.0

131.3

135.3

139.6

144.0

147.8

150.5

151.4

150.5

147.9

144.3

140.3

136.3

132.7

129.8

127.6

126.4

126.0

126.4

127.4

127.9

128.4

129.0

129.6

130.2

130.7

131.2

131.7

132.0

(deg.)

141.1

144.7

147.7

150.0

151.7

152.8

153.7

154.7

155.9

157.6

159.8

162.4

165.2

167.6

168.4

166.7

162.9

157.9

152.4

146.9

141.6

136.8

132.9

129.8

127.9

127.2

127.8

129.7

132.8

137.0

142.2

148.1

154.6

161.6

168.6

175.7

177.1

170.6

164.5

159.1

154.4

150.8

148.2

146.6

146.2

146.9

148.4

150.8

153.7

154.9

156.1

157.3

158.4

159.5

160.3

161.0

161.5

161.8
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 6 5

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 02

MJD -10'p 107PK -107P A logp, log p. T,

(kni)

a,-oo

(deg.)

0

(deg.)

(deg.)

37C30.0

32.5

35.0

37.5

40.0

42.5

45.0

• 7.5

37C50.0

52.0

53.0

54.0

55.0

56.0

57.0

58.0

3 7060.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

37100.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

2C.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

0.00

0.09

0.17

0.16

0.12

0.12

0.13

0.11

0.09

0.07

0.31

0.67

0.92

0.74

0.39

0.12

0.00

0.10

0.13

0.07

0.03

0.05

0.02

0.04

0.10

0.16

0.14

0.14

0.20

0.28

0.29

0.28

0.23

0.30

0.19

0.10

0.07

0.09

0.08

0.04

-0.07

-0.02

-0.02

•0.02

•0.03

-0.02

0.07

0.04

0.02

-0.05

-0.05

-0.05

-0.03

-0.03

0.04

0.14

0.14

0.72

0.17

0.16

0.19

0.2C

0.21

0.22

0.23

0.23

0.23

0.23

0.23

0.23

0.23

0.23

0.23

0.23

0.24

0.24

0.24

C.25

0.26

0.26

0.27

0.28

0.28

0.28

0.27

0.25

0.23

0.2C

0.14

0.08

0.02

0.00

0.0C

O.Cl

0.05

0.11

0.15

O.L B

0.21

0.23

0.25

0.26

0.27

0.27

0.28

0.28

0.29

0.29

0.29

0.29

0.28

0.28

0.28

0.28

0.28

0.28

C.2

C.3

C.4

0.4

0.3

0.3

0.4

0.3

0.3

C.3

C.5

0.9

1.2

l.C

C.6

0.4

0.2

0.3

0.4

0.3

0.3

C.3

0.3

0.3

0.4

C.4

C.4

0.4

0.4

0.5

0.4

0.4

C.3

C.3

0.2

0.1

0.1

C.2

C.2

0.2

0.1

0.2

0.2

0.3

0.2

0.2

0.3

0.3

0.3

C.2

0.2

0.2

C.2

C.2

0.3

0.4

0.4

l.C

16.4 5

.27

.15

.15

.28

.28

.16

.29

•16.29

.29

.06

15.81

.68

.76

.98

•16.16

16.46

.28

.16

.29

.29

.30

.3C

.31

.19

.19

.19

.19

.19

.08

.18

.17

.29

.29

.46

.76

.76

.46

.46

.47

.77

.48

.49

.32

.50

.5C

.33

.33

.33

.50

.5C

.50

.51

.51

.34

.21

.22

•15.82

-16.47

.29

.16

.16

.28

.27

.15

.27

-16.28

.28

.06

•15.81

.69

.77

•16.00

.18

•16.48

.32

.20

.33

.34

.34

.34

.35

.22

.22

.22

.21

.21

.11

.21

.21

.33

.33

.50

.8C

.79

.49

.48

.47

.77

.47

.47

.3C

.48

.49

.33

.34

.34

.53

.53

.54

.54

.55

.37

.25

.25

15.85

956

1014

1062

1064

1020

1021

1068

1021

102 0

1018

1101

1216

1279

1236

1129

1056

953

1006

1047

1001

999

998

997

99t

104C

104C

1041

1042

1043

1081

1045

1045

1002

1002

948

8 70

P71

953

954

956

876

957

957

1012

953

951

1001

997

997

941

9 39

937

936

935

988

1030

1031

1198

652.2

653.8

655.5

657.3

658.8

659.9

6 60.4

660.3

659.6

658.6

658.0

657.3

656.6

655.9

655.1

654.4

652.8

651.1

649.8

649.0

648.7

648.9

649.4

650.3

651.1

651.9

652.5

652.7

652.6

652.1

651.5

650.8

650.2

f 49.8

649.9

650.4

651.5

6b2.9

654.6

656.5

658.2

659.7

660.6

661.0

66C.8

659.9

658.6

656.8

655.0

653.2

651.8

65C.7

65C.1

650.0

650.4

651. 1

651.9

652.8

228.1

227.9

228.?

229.3

231.1

233.8

237.0

240.5

243.7

245.9

246.8

247.6

248.2

248.7

249.1

249.3

249.4

249.1

248.4

247.5

246.7

246.1

246.0

246.6

248.0

250.1

253.0

256.1

2 59.2

261.8

263.6

264.6

2 64.9

264.5

263.7

262.7

261.7

261.0

260.6

260.9

262.0

263.9

266.6

269.a

273.0

275.9

278.1

279.5

280.1

280.1

279.5

278.7

2 77.9

277.2

276.9

277.2

278.7

2E0.1

132.3

132.4

131. a

130.5

128.5

126.2

123.8

121.4

119.2

117.7

117.C

116.4

115.R

115.4

114.9

114.5

113.7

112. B

111.8

110.6

1C8.9

106.7

104.1

IC1.0

97.7

94.3

91.1

88.3

86.2

85.0

84.8

S5.7

87.5

9Q. 1

93.3

96.7

100.0

103.C

105.3

106.7

107.0

106.4

104.7

IC2.3

99.4

96.2

93.0

90.1

87.5

85.3

83.6

82.2

81.1

80.2

79.1

77.9

76.4

74.6

161.7

160.6

158.2

155.2

152.1

149.2

146.8

145.0

143.7

143.1

142.9

142.8

142.7

142.6

142.6

142.5

142.2

141.5

140.0

137.8

134.7

131.0

126.8

122.4

113.1

114.2

111.0

108.5

107.1

106.8

107.7

109.6

112.4

115.9

119.8

173.8

127.4

130.5

132.5

133.4

133.0

131.6

129.3

126.6

123.7

120.9

118.4

116.2

114.4

113.0

111.8

110.7

109.6

108.2

106.5

104.5

102.2

99.6
6 6 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. S

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 02.

MJD -107

P 107PR -107P A logp. log P.

(km) (deg.) (deg.) (aeg.)

37165.0

67.5

70.0

72.5

75.0

77-5

80.0

62.5

65.0

87.5

90.0

92.5

95*0

97.5

37200.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

17?49.0

49.5

50.0

50.5

51.0

51.5

52.0

52.5

53.0

53.5

54.0

54.5

55.0

55.5

56.0

37?57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

0.68

0.45

0.30

0.14

0.07

0.05

0.20

0.31

0.28

0.43

0.58

0.63

0.75

0.65

0.49

0.44

0.29

0.27

0.23

0.61

0.93

0.68

0.62

0.63

0.86

0.78

0.64

0.61

0.55

0.59

0.62

0.57

0.72

0.68

0.69

1.02

1.04

2.08

3.12

3.81

2.08

0.69

0.69

0.35

1.39

0.69

0.35

0.35

0.35

0.16

0.71

0.19

0.12

0.38

0.62

0.82

0.97

1.06

C.28

0.27

0.27

0.26

0.26

0.25

0.24

0.22

0.21

0.19

0.18

0.18

0.18

0.19

0.20

0.22

0.23

0.24

0.24

0.24

0.23

0.22

0.21

0.19

0.17

0.14

0.10

0.05

0.02

0.00

0.00

0.00

0.00

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

0.1C

0.11

0.12

0.13

0.14

0.15

0.17

0.19

0.20

0.20

0.19

0.18

0.18

0.17

0.16

1.0

0.7

C.6

0.4

0.3

0.3

0.4

0.5

0.5

0.6

0.8

0.8

0.9

o.e

0.7

0.7

0.5

0.5

0.5

C.3

1.2

0.9

0.8

0.8

1.0

0.9

0.7

0.7

0.6

0.6

0.6

0.6

0.7

0.7

C.7

1.0

1.1

2.1

3.2

3.9

2.2

0.8

0.8

0.5

1.5

0.8

0.5

0.5

0.5

0.3

0.9

0.4

0.3

0.6

0.8

1.0

l . l

1.2

•15.82

.98

•16.04

.22

.34

.33

.21

.11

.10

.02

•15.90

.90

.85

.91

.97

.98

16.13

.13

.13

•15.92

.74

.86

.90

.90

.79

.84

.94

.94

16.01

.01

.02

.02

•15.96

.96

-15.96

.81

.77

.49

.31

.22

.47

.91

.91

•16.12

15.64

.91

16.12

.12

.12

-16.34

-15.86

-16.21

.33

.02

-15.89

.79

.75

.71

-15.84

•16.00

.06

.24

.36

.36

.23

.13

.13

.05

15.92

.92

.87

.91

.97

.97

•16.11

.11

.10

•15.90

.72

.85

.90

.90

.80

.85

.96

.96

-16.03

.03

.03

.03

-15.97

.97

-15.97

.82

.78

.50

.32

.23

.4 8

.92

.92

-16.12

-15.65

.92

•16.13

. 1 3

.13

-16.35

-15.87

-16.22

.35

.04

-15.91

.81

.76

.71

1199

1129

110?

1014

992

992

1015

1C72

1C73

1106

1161

1163

1189

1166

1142

1143

108?

1083

1084

1173

1261

1198

1173

1173

1219

1195

1144

1144

1114

1114

1114

1113

1141

1140

114C

1212

1212

1394

1526

1598

140 6

1164

1163

1076

1302

1163

1076

1075

1075

995

1185

1038

99 6

1110

1168

1217

1242

1267

653.5

653.9

653.9

653.7

653.1

-S52.4

651.7

651.2

651.0

651.3

652.1

653.4

655.0

(S56.9

658. P

660. t

662. C

662.9

663.1

662.P

661.<5

66C.5

658.9

657.1

655.5

654.1

653.2

652.7

652.8

653.2

653.8

6 54.6

655.3

655.8

656.0

656.0

656.C

656.0

656.0

655.9

655.9

655.8

655.e

655.7

£55.6

655.5

655.4

655.3

655.1

654.7

654.0

653.4

653.0

653.0

653.5

654.6

656.1

657.9

282.8

286.0

292.6

295.3

297.1

298. 1

298.4

298.2

297.7

297.0

296.4

296.2

296.4

297.3

299. I

301.6

304.8

108.4

J U . 8

314.7

116.8

318.0

318.5

318.3

117.P

317. C

316.2

315.7

115.6

316.0

317.3

319.3

322.0

323.9

324.6

325.2

325.8

326.5

327. I

327.8

328.4

329.C

329.5

320.1

330.6

331. 1

331.6

332.0

333.1

334.2

334.6

334.3

333.5

332.4

331.1

330.4

329.8

72.4

7C. I

67.7

65.4

61.4

6?.O

61.1

6C.9

61.3

62.1

63.3

64.4

65. 3

65.7

65.4

64.4

62.5

59.9

56. t

53.0

49.2

45.8

43.0

41.3

41.0

42.1

44.4

47.5

51.0

54.5

57.6

60.0

61.5

62.0

61. 9

61. 7

61. 6

61. 3

61. 1

6 0 . e

6C.4

60.0

59.6

59.?

58.7

58.2

57.6

57.0

56.4

54.5

50.e

46.8

42.8

38.9

35.5

3?.7

3C.6

29.0

97.0

94 . "I

92.3

90.6

89.4

8P.9

fl9. 0

89.7

90.8

92.0

93.?

94.0

04.?

93.7

92.4

00.4

87.6

P4.4

7 7 ^

74.4

72.0

70.5

69.8

7C.3

71.6

71.5

75.8

78.1

80.2

81.8

82.7

82.8

82.C

81.2

80.9

80.5

60.1

79.7

79.3

78.8

78.4

77.9

77.4

76.8

76.3

75.7

75.2

74.6

72.9

70.0

67.2

64.7

6?. 5

60. 7

5^.2

57.9

56.6
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 6 7

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 #2

MJD -10:i> 107PR -107P A logp, logp8 T,

(km) (deg.) (deg.) (deg.)

37280.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

37300.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

37400.0

02.5

O5.0

07.5

37432.5

35.0

37.5

40.0

42.5

45.0

47.5

0.78

0.69

0.52

0.47

0.36

0.41

0.29

0.62

0.60

0.81

0.89

0.64

0.50

0.39

0.35

0.38

0.33

0.30

0.42

0.45

0.42

0.40

0.42

0.30

0.32

0.27

0.27

0.25

0.17

0.14

0.22

0.35

0.42

0.34

0.38

0.41

0.42

0.41

0.38

0.36

0.36

0.57

0.77

0.96

0.87

0.81

0.80

0.61

0.49

0.27

0.59

0.75

0.54

0.55

0.55

0.62

0.62

0.55

0.50

0.15

0.14

0.13

0.12

0.11

0.1C

0.09

o.oe

0.07

0.C5

0.04

0.02

0.01

O.CC

O.CC

0.00

o.oc

O.CC

0.00

0.00

o.oc

O.CC

0.00

0.02

0.04

0.C5

0.C6

0.06

0.05

0.C3

0.01

0.00

-0.02

-0.C3

-0.04

-0.04

-0.C4

-0.04

-0.04

-0.04

-0.04

-0.C4

-0.04

•0.05

-0.06

-0.C7

-0.08

-0.09

-0.10

-0.11

•0.12

-0.12

-0.2C

•0.2C

-0.21

-0.22

-0.23

•0.23

-C.21

0.9

0.8

0.7

0.6

0.5

0.5

0.4

0.7

0.7

0.9

0.9

0.7

0.5

0.4

0.4

0.4

0.3

0.3

0.4

0.4

0.4

0.4

0.4

0.3

0.4

0.3

0.3

0.3

C.2

0.2

0.2

0.3

0.4

0.3

0.3

0.4

0.4

0.4

0.3

0.3

0.3

0.5

0.7

C.9

0.8

0.7

0.7

0.5

0.4

0.2

0.5

0.6

0.34

0.35

0.34

0.40

0.39

0.32

0.29

-15.84

.89

.95

-16.01

.09

.09

.18

•15.94

.93

.82

.82

.92

-16.07

.17

.17

.17

.30

.30

.18

.18

.18

.19

.19

.31

.18

.31

.30

.30

.47

.47

.47

.29

.17

.29

.29

.17

.17

.17

.30

.29

.29

.07

•15.92

.81

.86

.92

.92

-16.06

.16

.46

.06

•15.99

•16.23

.22

.24

.17

.18

.27

.31

-15.83

.87

.92

.99

-16.06

.06

.16

•15.92

.92

.81

.82

.93

•16.08

.18

.18

.18

.31

.31

.18

.18

.18

.19

.19

.32

.19

.32

.32

.31

.49

.48

.47

.29

.16

.28

.27

.14

.14

.14

.27

.27

.27

.06

-15.92

.81

.87

.93

.93

16.08

.17

.47

.07

15.99

16.25

.23

.25

.17

.18

.26

.30

1207

1186

1162

1134

1102

1102

1064

1165

1164

1214

1212

1159

1C94

1055

1054

1054

1CC9

1009

1054

1054

1053

1052

1052

10C6

IC50

1C06

1006

1007

953

954

956

1014

1062

1019

1021

1069

1C7C

1070

1023

102?

1C21

1104

1165

1215

1188

1160

1159

1096

1C58

956

1097

1131

1C30

1035

1031

1058

1056

1026

1013

659.9

661.8

663.4

664.6

665.0

665. 1

664.4

663.3

661.7

659.9

658. 1

656.5

655.3

654.6

654.4

654.6

655.1

655.9

656.6

657.?

657.6

657.6

657.3

656. 7

655.9

655.1

654.5

654.2

654.3

654.9

656.0

657.6

659.4

661.3

663.1

664.5

665.5

665.8

665.5

664.5

663.1

661.3

659.4

657.6

656.1

655.C

654.4

654.2

654.6

655.1

655.8

656.4

653.6

654.2

655.4

656.9

658.6

66C.3

661.9

329.7

330.5

332.0

334.3

337.2

340.2

343.0

345.1

346.4

346.9

346.7

346.0

345.0

343.8

342.8

342.2

342.0

342.6

344.0

346.3

349.2

3 52.4

355.4

358.0

359.8

0.8

1.0

0.8

0.1

359.8

358.6

358.1

358.1

358.8

0.3

2.6

5.7

9.2

12.6

15.6

17.9

19.4

20.0

2C.1

19.6

19.0

ie.3

17.8

17.7

18.2

19.4

21.5

37.4

36.5

35.8

35.3

35.4

36.?

37.8

27.9

?6.9

25.9

24.5

22.6

2C.2

17.5

14.7

12.6

12.4

14.6

18.8

23.9

29.3

34.7

39.8

44.3

4R.C

50.6

52.2

52.5

51.5

49.7

45.7

41.2

35.8

29.7

23.1

16.1

9.C

2.4

5.4

11.7

17.6

22.8

27.2

30.6

32.9

34.1

34.1

33.2

31.3

28.7

25.6

2?.5

19.8

18.2

18.1

19.6

22.1

25.1

28.1

39.9

42.5

45.9

49. f

54.2

58.6

62.8

55.2

53.6

51.7

49.4

47.0

44.5

42.2

40.5

39.6

40.0

41.5

44.2

47.6

51.5

55.4

59.0

62.1

64.3

65.5

65.6

64.5

62.3

59.1

55.1

50.6

45.9

41.2

37.1

33.8

31.8

31.2

31.7

33.1

34.7

36.3

37.3

37.7

37.?

35.9

33.6

30.6

27.0

23.0

18.9

15.2

12.5

11.6

12.8

15.2

17.7

19.9

21.4

17.4

23.6

?9.9

36.1

42.0

47.3

51.8
g o SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. 8

TABLE 5— Acceleration dra0> atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 02

MJD -10' P

 10?p

« -

10?p * lo K " - lo ^» ,J

(km) (deg.) (deg.) (deg.)

37450.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

37520.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

0.46

0.35

0.29

0.21

0.23

0.23

0.26

0.42

0.62

0.60

0.43

0.36

0.26

0.46

0.51

0.67

0.56

0.55

0.54

0.55

0.47

0.56

0.68

0.76

0.75

0.71

0.65

0.65

0.65

0.62

0.65

C.74

0.74

0.77

0.78

0.93

1.03

0.81

0.57

0.37

0.55

0.61

0.53

0.50

0.46

0.42

0.38

0.22

0.23

0.23

0.25

-0.2C

•0.15

•0.08

-0.03

0.00

C.Cl

0.02

0.03

0.C2

0.C1

-0.01

-0.04

•0.C9

-0.14

-0.17

-0.20

-0.21

-0.23

•0.24

-0.25

-o.2e

•0.28

-0.28

-0.26

-0.28

-0.28

-0.28

-0.27

-0.26

-0.25

-0.24

-0.23

-0.21

-C.2C

-0.21

-0.22

-0.23

-0.24

-0.25

-0.27

-0.26

-C.28

-C.28

-0.26

-0.27

-C.26

-0.24

-0.22

-0.22

-0.2C

-0.19

0.26

0.20

0.21

0.18

C.23

0.24

0.28

0.45

0.64

0.61

0.42

C.32

C.17

0.3?

0.34

0.47

C.35

0.32

0.30

0.30

0.19

0.28

0.40

C.48

0.47

0.43

0.37

C.38

0.39

0.37

0.41

C.51

C.53

0.57

0.57

C.71

0.80

0.57

0.32

CIO

0.27

0.33

0.25

0.22

C.19

0.16

0.14

C.CO

0.01

0.03

0.C6

16.36

.47

.45

.52

.41

.39

.32

.11

•15.96

.98

16.14

.26

.53

.26

.24

.IC

.23

.27

.3C

.3C

•16.5C

.34

.19

.11

.12

.16

.23

.21

.2C

.22

.17

.07

.C6

.02

.03

15.93

.68

16.C4

.29

.ec

.38

.29

.41

.47

.53

• 6C

.65

•17.79

.31

.01

16.34

.45

.43

.50

.39

.38

.32

.12

•15.97

.99

•16.16

.28

.55

.2e

.25

.11

.24

.28

.30

.31

•16.52

.35

.19

.11

.12

.15

.22

.20

.19

.22

.18

.09

.08

.05

.06

-15.96

.92

-16.C7

.32

.83

.40

.31

.44

.49

.55

.63

.69

-17.83

.35

.05

998

963

970

95 0

98 1

985

1006

1C79

1141

1130

106?

1019

933

1C19

10? 9

1082

1C34

1C? O

1010

10C9

94 2

994

104 9

1081

1C79

1065

104?

1046

IC50

IC41

1056

1091

1106

1104

1143

1165

1099

1004

862

979

1007

966

951

933

898

176

684

904

663.0

663.6

663.6

663.0

661.6

660.2

658.4

656.6

655.0

653.7

652.8

652.5

6 52.6

653. 1

653.8

654.5

655.2

655.5

655.6

655.2

653.C

654.6

656. 3

658.0

659.4

660.4

660.8

660.5

659.7

658.3

656.6

654.8

653.0

651.5

650.4

649.8

649.6

649.9

650.5

651.3

652.0

652.6

652.8

652.7

652.2

651.5

650.6

649.6

648.9

648.5

6 48.6

40.?

43.3

46.5

49.5

52.0

53.6

54.4

54.5

54.0

53.1

52.1

51.2

50.5

50.3

50.8

52.1

54.2

57.0

60.2

63.4

66. 5

66.4

66.9

68.2

70. 3

73.2

76.6

60. 1

83.3

85.7

87.4

68.2

88.3

68.0

67.4

66.8

86.2

86.1

e6.5

67.6

89.6

92.3

95.6

99.1

102.3

104.9

106.7

107.6

107.9

107.6

106.9

66.6

69.f

71.8

72.9

72.8

71.6

69.4

66.3

62.7

5R.7

54.8

51.2

48.5

46.8

46. ?

47.0

48.7

5 1. 1

53.9

56.8

71.5

73.3

75.4

77.8

8C.4

83. I

85.6

87.7

89.4

90.4

90. 8

90.6

89.8

68.7

87.5

86.5

85.9

85.9

86.7

88.3

9C.6

93.4

96.7

100.2

103.4

1C6.2

108. 3

109.5

109.6

1C8.9

107. 3

55.3

57.6

58.7

58.6

57.1

54.4

10.8

46.3

41.2

35.7

30.3

25.4

21.4

19.2

19.1

20.8

23.5

26.5

29.4

31.8

48.8

52.1

55.4

53.6

61.3

63.5

64.9

65.6

65.4

64.5

63.0

61.2

59.3

57.7

56.6

56.4

57.3

59.1

61.8

65.0

68.7

72.3

75.6

78.4

80.4

81.5

81.7

81.1

79.8

77.9
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 69

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 #2 (5-day)

MJD -10 7

P 107PB -107P A logp. logp8 T.

(kni) (deg.) (deg.) (deg.)

36905.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

50.0

55.0

60.0

65.0

70.0

75.0

80.0

35.0

90.0

95.0

37000.0

05.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

50.0

55.0

60.0

65.0

70.0

75.0

80.0

85.0

90.0

95.0

37100.0

05.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

50.0

55.0

60.0

65.0

70.0

75.0

80.0

85.0

90.0

95.0

37200.0

0.76

0.55

0.39

0.21

0.28

0.29

0.28

0.35

0.38

0.37

0.43

0.56

0.91

0.76

0.42

0.37

0.27

0.25

0.31

0.20

0.11

0.04

0.07

0.75

0.53

0.09

0.15

0.15

0.12

0.13

0.48

0.08

0.10

0.04

0.03

0.10

0.15

0.20

0.29

0.26

0.20

U.0«

0.08

-0.03

-0.02

-0.0?

0.03

0.01

-0.05

-0.04

0.05

0.29

0.63

0.30

0.09

0.19

0.33

0.56

0.69

0.52

-0.04

-0.01

0.02

0.02

0.04

0.05

0.07

0.09

0.10

0. 13

0.12

0.12

0.11

0.08

0.06

0.07

0.09

0. 11

0.14

0.16

0.18

0.18

0.16

0.16

0.16

0. 17

0.19

0.21

0.23

0.23

0.23

0.24

0.24

0.26

0.27

0.28

0.27

0.23

0.14

0.0?

O.DO

0.05

0.15

0.21

0.25

0.27

0.28

0.29

0.29

0.28

0.28

0.28

0.28

0.27

0.26

0.24

0.21

0.18

0.18

0.20

0.72

0.54

0.41

0.23

0.32

0.34

0.35

0.44

0.48

0.50

0.55

0.68

1.02

0.84

0.48

0.44

0.36

0.36

0.45

0.36

0.29

0.22

0.23

0.91

0.69

0.26

0. 34

0.36

0.35

0.36

0.71

0.32

0.34

0.30

0.30

0.38

0.42

0.43

0.43

0.28

0.20

0.13

0.23

0.18

0.23

0.25

0.31

0.30

0.24

0.24

0.33

0.57

0.91

0.57

0.35

0.43

0.54

0.64

0.87

0.72

•15.90

16.02

.14

.39

.25

.22

.20

.10

.06

.C5

.01

-15.93

.75

.83

16.07

.10

.19

.19

.09

.19

.29

.41

.39

-15.79

.91

-16.33

.22

.20

.22

.21

-15.91

-16.25

.23

.29

.30

.21

.17

.15

.15

.32

.46

.65

.40

.52

.42

.40

.31

.33

.42

.43

.29

.06

15.86

•16.07

.27

.17

.07

.00

-15.37

.96

-15.93

-16 . 06

.17

.41

.27

.24

.24

.14

.10

.07

.02

-15.92

.74

.83

16.08

.13

.23

.23

.13

.22

.31

.43

.42

•15.83

.94

-16.36

.23

.20

.20

.20

•15.<»2

16.28

.27

.34

.34

.24

.20

.1R

.18

.36

.30

.68

.42

.52

.41

.39

.31

.34

.45

.46

.33

.09

•15.39

•16.08

.29

.20

.10

.02

15.88

.96

1157

1104

1059

974

1023

1032

1034

1070

1086

1096

111H

1164

1252

1206

1093

1074

1038

1037

1075

104 0

1008

968

973

1208

1152

991

1036

1049

1046

1048

1165

1018

1022

999

997

1031

1049

1055

1056

992

948

900

973

944

975

983

1008

997

962

959

1002

1089

1180

1092

1014

1047

1086

1119

1182

1147

650.4

650.5

652.0

653.6

654.0

653. I

651.4

650.2

650.7

653. 1

656.5

659.4

660.4

659.0

655.9

652.4

650.1

649.8

651.1

652.8

653.7

653.3

651.7

650.4

650.3

652.2

655.5

658.8

660.4

659.6

656.6

652.8

649.8

649.7

649.4

651.1

652.5

652.6

651.5

650.2

649.9

651.5

654.6

658.2

660.6

660.8

653.6

655.0

651.8

650.1

650.4

651.9

653.5

653.9

653.1

651.7

651.0

652.1

655.0

658.8

182.7

181.0

181.2

184.6

190.3

195.4

197.5

196.8

194.7

192.9

193.0

196.3

202.3

208.2

211.4

211.7

210.3

208.9

209.2

212.5

218.6

225.2

229.3

230.3

229.4

228.1

228.2

231.1

237.0

243.7

248.2

249.4

248.4

246.7

246.0

248.0

253.0

259.2

263.6

264.9

263.7

261.7

260.6

262.0

266.6

2 73.0

278.1

280.1

279.5

277.9

2 76.9

278.2

282.8

289.4

2 95.3

298.1

298.2

297.0

296.2

297.3

161.3

172.7

177.2

170.1

166.0

164.6

163.8

160.1

152.6

143.2

134.1

127.2

124.1

125.6

131.3

139.6

147.8

151.4

147.9

140.3

132.7

127.6

126.0

127.4

130.2

132.3

131.8

128.5

123.8

119.2

115.8

113.7

111.8

108.9

104.1

97.7

91.1

86.2

84.8

87.5

93.3

100.0

105.3

107.0

104.7

99.4

93.0

87.5

83.6

81.1

79.1

76.4

72.4

67.7

63.4

61. 1

61. 3

63.3

65.3

65.4

147.7

151.7

153.7

155.9

159.8

165.2

168.4

162.9

152.4

141.6

132.9

127.9

127.8

132.8

142.2

154.6

168.6

177.1

164.5

154.4

148.2

146.2

148.4

153.7

159.5

161.7

158.2

152.1

146.8

143.7

142.7

142.2

140.0

134.7

126.8

118.1

111.0

107.1

107.7

112.4

119.8

127.4

132.5

133.D

129.3

123.7

118.4

114.4

111.8

109.6

106.5

102.2

97.0

92.3

89.4

89.0

90.8

93.2

94.2

92.4
70 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. •

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1958 02 (5-day)

MJD -107P 107PR -107P A log P. log p. T,

(km) (deg.) (deg.) (deg.)

3 7205.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

50.0

55.0

60.0

65.0

70.0

75.0

80.0

85.0

90.0

95.0

37300.0

05.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

50.0

55.0

60.0

65.0

70.0

75.0

80.0

85.0

90.0

95.0

37400.0

05.0

0.33

0.31

0.80

0.63

0.78

0.66

0.57

0.60

0.67

1.34

0.66

0.44

0.21

0.62

0.95

0.82

0.55

0.36

0.40

0.65

0.81

0.50

0.36

0.34

0.40

0.42

0.39

0.30

0.27

0.19

0.23

0.39

0.38

0.42

0.39

0.42

0.77

0.87

0.74

0.46

0.55

0.23

O.?4

0.23

0.21

0.17

0.10

0.02

0.00

0.00

0.03

0.13

0.19

0.20

0.18

0.17

0.15

0.13

0.11

0.09

0.07

0.04

0.01

0.00

0.00

0.00

0.00

3.00

0.04

0.06

0.05

0.01

-0.02

-0.04

-0.04

-0.04

-0.04

-0.04

-0.06

-0.08

-0.1 0

-0.1 2

0.56

0.55

1.03

0.94

0.95

0.76

0.59

0.60

0.67

1. 37

0.79

0.63

0.41

O.HC

1. 12

0.97

0.6R

0.47

0.49

0.72

0.85

0.51

0.36

0.34

0.4C

0.42

0. 39

0.34

0.33

0.24

0.24

0.37

0.34

0.3H

0.35

0.38

0.73

0.81

0.66

0.36

0.4*

-16.08

.09

-15.80

.88

.82

.91

-16.02

.02

-15.98

.67

.92

-16.01

.19

-15.89

.74

.80

.96

-16.12

.09

-15.92

.84

-16.06

.21

.24

.18

.16

.20

.25

.26

.39

.39

.20

.24

.19

.23

.19

-15.90

.85

.94

-16.21

.13

-16.06

.06

-15.79

.88

.83

.93

-16.04

.03

-15.99

.68

.93

-16.03

.21

-15.91

.75

.80

.94

-16.09

.07

-IS.91

.84

-16.07

.23

.25

.18

.16

.20

.26

.27

.41

.40

.19

.22

.16

.20

.17

-15.90

.86

.96

-16.22

.14

1102

1101

1227

1183

1208

1160

11)1

1114

1133

1283

1160

1116

1043

1168

1246

1223

1156

1091

1099

1170

1200

1098

1038

10?8

1054

1061

1047

1025

1020

977

98 0

1050

1040

1061

1048

1058

1174

1191

1147

1040

1071

662.0

663.1

661.9

658.9

655.5

653.2

652.8

653.8

655.3

656.0

655.4

654.0

653.0

653.5

656.1

659.9

663.4

665.3

664.4

661.7

658.1

655.3

654.4

655.1

656.6

657.6

657.3

655.9

654.5

654.3

656.0

659.4

663.1

665.5

665.5

663.1

659.4

656.1

654.4

654.5

655.8

301.6

308.4

314.7

318.0

318.3

317.0

315.7

316.0

319.3

325.2

331.1

334.2

332.4

330.4

329.7

332.0

337.?

343. 0

346.4

346.7

345.0

342.8

342.0

344.0

349.2

355.4

359.8

1.0

0.1

3*8.6

358.1

0.3

5.7

12.6

17.9

20.0

19.6

18.3

17.7

19.4

62.5

56.6

49.2

43.0

41.0

44.4

51.C

57.6

61.5

61.6

57.6

50.8

42.8

35.5

30.6

27.9

25.9

22.6

17.5

12.6

14.6

23.9

34.7

44.3

50.6

52.5

49.2

41.2

29.7

16.1

2.4

11.7

22.8

30.6

34.1

33.2

28. 7

22.5

18.2

19.6

25.1

87.6

80.9

74.4

70.5

70.3

73.5

78.1

81. 8

82.8

80.5

75.7

70.0

64.7

60.7

57.9

55.2

51.7

47.0

42.2

39.6

41.5

47.6

55.4

65.5

64.5

59.1

50.6

41.2

33.8

31.2

33.1

36.3

37.7

35.9

30.6

23.0

15.2

11.6

15.2

19.9
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 7 1

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 a 1

MJD -107P 10'pR -107PA log p. logp8 T,

(km) (deg.) (deg.) (deg.)

36622.6

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

36650.0

51.0

36652.0

52.5

53.0

53.5

54.0

54.5

55.0

55.5

56.0

56.5

36657.0

58.0

59.0

16660.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

36700.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

8.05

8.87

8.99

7.82

7.66

7.65

8.23

8.69

9. U

9.65

10.52

I 1.18

11.84

11.94

II .54

12.54

13.14

15.05

15.05

13.25

10.85

10.25

9.76

9.96

10.66

9.77

10.08

9.44

9.42

10.99

11.09

9.96

9.97

10.45

10.77

11.53

12.21

11.34

10.05

8.96

8. T5

9.29

9.50

9.01

7.99

6.92

6.12

5.44

4.57

3.36

3.50

4.07

4.82

5.14

5.29

5.95

0.06

0.04

0.03

0.01

-O.Cl

-0.02

-0.03

-0.0 3

-0.04

-0.04

-0.04

-0.04

-0.04

-0.04

-0.04

-0.04

-0.04

-0.05

-0.05

-0.05

-0.05

-0.05

-0.06

-0.06

-0.06

-0.07

-0.07

-0.09

-0.1O

-0. 12

-0.13

-0.14

-0.14

-0.15

-0.16

-0.16

-0.16

-0.16

-0.17

-0.18

-0.19

-0.20

-0.21

-0.22

-0.22

-0.22

-0.21

-0.19

-0.17

-0. 12

-0.07

-0.01

0.00

0.00

0.00

-0.05

8.1

8.9

9.0

7.8

7.6

7.6

8.2

8.7

9.3

9.6

10.5

11. 1

11.8

11.9

11.5

12.5

13. I

15.0

15.0

13.2

10.8

10.2

9.7

9.9

10.6

9.7

10.0

9.4

9.3

10.9

11.0

9.8

9.8

10.3

10.6

11.4

12.0

11.2

9.9

8.8

8.6

9.1

9.3

8.8

7.8

6.7

5.9

5.2

4.4

3.2

3.4

4.1

4.8

5.1

5.3

5.9

-14.83

.79

.78

.84

.85

.H5

.82

.80

.77

.76

.72

-14.69

.66

•14.66

.67

.63

.61

.55

.55

.61

.70

.72

.74

-14.73

.70

.74

14.73

.75

.76

.69

.69

.74

.74

.72

.71

.67

.65

.68

.73

.79

.80

.78

.77

.80

.86

.92

.98

•15.03

.10

.23

.20

.12

.05

.02

.01

•14.97

-14.85

.80

.79

.84

.85

.84

.80

.77

.74

.73

.69

-14.68

.65

-14.65

.67

.63

.61

.55

.55

.61

.70

.73

.75

-14.74

.71

.75

-14.74

.77

.77

.70

.70

. 74

.74

.72

.71

.68

.66

.70

.75

.31

.32

.79

.78

.79

.84

.90

.95

•15.00

.08

.22

.20

.12

.06

.04

.03

•14.99

1543

1591

160 4

1546

1543

1550

1592

1625

1660

1674

1718

1743

1776

1778

1756

1805

1833

1925

1923

1834

1711

1678

1651

1660

1695

1646

1661

1628

1623

1703

1716

1656

1657

168 3

1696

1733

1758

1714

1644

1585

1575

1604

1618

1598

1548

1490

1445

1401

1344

1248

1260

1310

1354

1370

1379

1414

559.8

560.2

561.2

562.8

564.7

566.7

568.4

569.6

569.9

569.4

568.2

566.4

565.6

564.8

564.4

564.0

563.6

563.2

562.8

562.4

562.1

561.8

561.4

561.2

560.6

560.2

559.9

559.6

559.9

560.5

561.3

562.0

562.4

562.3

561.7

560.8

559.8

558.9

558.4

558.5

559.2

560.6

562.4

564.4

566.3

567.6

568.5

568.4

567.4

565.8

563.8

561.7

559.9

558.7

558.0

558.0

354. 1

354.1

354.1

354.5

355.5

357.4

0.5

4.5

9.1

13.6

17.5

20.3

21.1

21.8

22.1

22.3

22.5

22.7

22.8

22.9

23.0

23.1

23.2

23.2

23.3

23.3

23.3

23.4

24.0

25.2

27.5

30.8

34.9

39.5

43.7

47.2

49. 5

50.9

51.4

51.5

51.4

51.5

52.1

53.6

56.1

59.6

63.8

68.2

72.1

75.1

76.9

77.8

78.0

77.8

77.6

77.6

18.6

11.2

6.0

8.3

14.3

20.2

25.2

29.1

31.7

33.0

32.9

31.7

31.0

30.1

29.6

29.2

28.7

28.2

27.6

27.1

26.6

26.2

25.7

25.2

24.4

23.9

23.4

23.5

25.2

28.2

31.9

35.7

39.2

42.2

44.6

46.4

47.7

49.0

50.4

52.2

54.8

58.2

62.4

67.0

71.9

76.6

80.7

84.0

86.1

86.8

86.3

84.5

82.0

79.0

76.0

73.5

39.9

37.0

35.6

35.5

36.2

37.0

37.6

37.4

36.3

34.1

30.8

26.6

24.7

22.7

21.6

20.6

19.5

18.5

17.4

16.3

15.2

14.2

13.1

12.1

10.1

8.4

7.2

7.4

11.0

15.0

18.6

21.3

22.9

23.4

22.9

21.8

23.6

20.2

21.5

24.7

29.6

35.4

41.7

47.9

53.6

58.4

62.1

64.4

65.2

64.5

62.5

59.5

55.8

52.0

48.5

46.0
7 2 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. S

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 al

MJD -107

p 107PR -107P A log P. logp, T.

(km) (deg.)

+0

(deg.)

(deg.)

36735.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

36760.0

61.0

62.0

36763.0

63.5

64.0

64.5

65.0

65.5

66.0

66.5

67.0

67.5

36768.0

69.0

36770.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

36800.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

6.35

6.70

6. 19

5.90

5.61

5.25

4.37

4.31

3.79

3.5 8

3.56

3.81

4.34

4.34

4.64

5.18

6.09

6.62

6.24

5.33

4.95

4.26

4.87

4.49

3.96

3.55

2.78

1.82

1.69

2.25

2.38

2.22

2.22

2.33

2.22

2.26

2.56

2.98

3.16

3.31

3.C9

4.07

4.99

4.41

3.48

2.06

1.80

2.05

2.18

2.52

2.80

2.89

2.64

2.40

2.41

2.12

-0. 12

-0.16

-0.19

-0.21

-0.22

-0.23

-0.23

-0.23

-0.22

-0.22

-0.22

-0.22

-0.22

-0.22

-0.22

-0.22

-0.22

-0.22

-0.22

-0.22

-0.21

-0.21

-0.21

-0.21

-0.20

-0.19

-0.10

-0.C8

-0.14

-0.17

-0.16

-0.16

-0. 15

-0.14

-0.12

-0.12

-0.11

-0.11

-0.11

-0.12

-0.12

-0.13

-0.13

-0.13

-0.12

-0.12

-0.12

-0.1C

-0.08

-0.07

-0.06

-0.04

-0.03

-0.02

-0.02

-0.02

6.2

6.5

6.0

5.7

5.4

5.0

4.6

4. 1

3.6

3.4

3.3

3.6

4.1

4.1

4.4

5.0

5.9

6.4

6.0

5.1

4.7

4.1

4.6

4.3

3.8

3.4

2.7

1.7

1.6

2.1

2.2

2.1

2.1

2. 1

2.1

2.1

2.4

2.9

3.0

3.2

3.8

3.9

4.9

4.3

3.4

1.9

1.7

2.0

2 . 1

2.4

2.7

2.8

2.6

2.4

2.4

2.1

14.95

.93

.97

15.00

.02

.06

.10

.15

.20

.23

15.24

.21

. 15

15.15

.12

.07

.00

14.96

.99

•15.06

.10

.16

.11

•15.14

.19

•15.24

.35

.55

.57

.45

.42

.43

.42

.42

.41

.41

.36

.28

.27

.24

.17

.17

.07

.12

.22

.46

.50

.42

.39

.33

.28

.27

.30

.34

.34

.40

-1'. .97

.98

-15.0 1

.04

.07

.11

.17

.23

.26

-15.2 7

.23

.18

-15.1 8

. 1 5

.09

.02

-14.98

-15.01

.08

.11

.17

.12

-15.15

.20

-15.24

.34

.53

.54

.42

.40

.42

.42

.42

.43

.44

.39

.31

.30

.27

.19

.18

.08

.14

.24

.48

.53

.45

.43

.36

.30

.28

.30

.33

.32

.37

1431

1447

1416

1396

1376

I 3'. 7

1318

1280

1241

1224

1215

1238

1274

1274

1295

1334

1389

1418

1396

134 3

1318

1278

1313

1294

1260

1232

1179

1002

1074

1134

1147

1136

1135

1132

1128

1125

1152

1195

1202

1217

1263

1271

1340

1302

1238

1102

108 1

1117

1130

1164

1196

1211

1198

1184

1188

1159

551.4

559.1

559.8

560.3

560.3

560.0

559.1

558.2

557.3

556.8

556.8

557.0

557.3

557.7

558.0

558.2

558.5

558.8

559.2

559.6

559.9

560.3

560.7

561.2

562.0

562.9

565.0

566.6

567.7

567.8

567.1

565.7

563.9

561.8

559.7

558.3

557.5

557.3

557.7

558.4

559. 2

559.9

560.2

560.1

559.5

558.7

557.9

557.3

557.1

557.6

558.8

560.6

562.6

564.7

566.4

567.6

78.3

79.9

82.6

86.2

90.4

94.6

98. 1

100.6

102.0

102.6

102.6

102.5

102.4

102.3

102.3

10?.3

102.3

102.3

102.3

102.3

102.4

102.5

102.6

IC2.7

103.1

103.7

105.8

109.0

113.0

117.5

121.8

125.2

127.5

128.9

129.4

129.6

129.5

129.7

130.5

132.1

134.7

138.4

142.8

147.4

151.4

154.6

156.7

157.9

158.4

158.5

153.6

159.0

160.1

162.2

165.3

169.3

72.0

71.7

72.6

74.8

77.9

81.6

85.6

89.6

93.3

96.6

99.5

100.6

101.6

102.6

103.1

103.6

104.1

104.6

105.0

105.5

106.0

106.5

107.0

107.5

108. 5

109.6

112.5

115.8

119.2

122.7

126.0

128.7

130.4

131.0

130.5

128.9

126.8

124.6

122.8

121.7

121.7

123.0

125.6

129.4

134. 3

140.0

145.9

151.5

156.0

158.4

157.9

155.2

151.4

147.7

144.6

142.5

44.9

45.3

47.1

50.0

53.4

57.1

60.6

63.9

66.8

69.4

71.9

72.9

73.9

74.9

75.4

76.0

76.5

77.1

77.6

78.2

78.8

79.4

80.1

80.7

82.0

83.4

87.1

90.9

94.6

97.9

100.6

102.3

103.0

102.7

101.6

99.9

98.2

96.8

96.1

96.4

97.8

100.4

104.0

108.4

113.1

117.7

121.9

125.2

127.4

128.4

128.4

127.7

126.9

126.2

126.3

127.2
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 7 3

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 a 1

MJD -10'P 107P, -107PA logPr log p. T,

(kni) (deg.) (deg.) (deg.)

.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

8?.5

85.0

87.5

90.0

92.5

95.0

97.5

36900.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32. 5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

1.80

1.28

1.13

1.49

1.83

2.10

2.08

2.09

1.96

1.92

1.89

1.74

1.51

L. *3

I.11

1.13

1.32

1.33

1.40

1.35

1.45

1.59

1.95

2.32

1.96

1.63

1.42

1.27

1.15

1.13

1.13

1.21

1.21

1.23

1.25

1.35

1 .38

1.37

1.35

1.19

1.21

1.13

1.09

1.32

1.5 1

1.61

1.33

2.50

2.88

2.29

1.62

1.22

1.16

1.13

1.00

1 .08

I.10

1.39

1.48

1.52

-0.03

-0.04

-0.03

-0.0?

-0.02

-0.0?

-0.01

0.00

0.02

0.03

0.C4

0.06

0.06

0.06

0.07

0.08

0.06

0.09

0.10

0.12

0.13

0.14

0.15

0. 16

0.16

0.16

0.16

0.15

0.14

0.12

0.10

0.08

0.08

0.06

0.09

0. 10

O.ll

0.13

0.15

0.1b

0.13

0.19

0.20

0.20

0.21

0.22

0.22

0.22

0.22

0.22

0.23

0.23

0.23

0.23

0.23

O.23

0.22

0.21

0.20

0.19

1.2

1.1

1.8

2.1

2.1

2. I

2 . 0

2.C

1.9

1.8

1.6

1.4

1.2

1.2

1.4

1.4

1.5

1.6

1.7

2.1

2 . 5

2 . I

l.H

1.6

1.4

1.3

1.2

1.2

1.3

1.3

1.3

1.3

1.4

1.5

1.5

1.5

1.4

1.4

1.3

1.3

1.5

1.7

1.3

2.0

2 . 7

3.1

2 . 5

1.8

1.4

. 3

. 3

. 2

. 3

.3

1.6

1.7

1.7

15.46

.64

.67

.53

.45

.38

.37

.37

.39

.39

.41

.44

.49

.5t>

.62

.62

.55

.55

.51

.51

.49

.46

.37

.30

.38

.45

.51

.56

.60

.63

.62

.59

.58

.58

.53

.54

.52

.52

.52

.55

.56

.59

.60

.53

.48

.46

.41

.29

.23

.33

.48

.59

.63

.64

.68

.64

.64

.55

.52

.51

-15.44

.61

.65

.52

.45

.39

.40

.40

.43

.42

.44

.46

.51

.57

.63

.63

.57

.57

.55

.55

.52

.49

.39

.31

.37

.43

.48

.53

.57

.61

.61

.59

.60

.60

.61

.58

.55

.55

.55

.58

.58

.61

.61

.56

.51

.49

.44

.32

.26

.35

.48

.59

.62

.62

.65

.62

.62

.54

.52

.53

1126

1044

1027

1083

1118

1148

1145

1143

1131

1132

1122

1112

1090

1064

1036

1035

1062

106 1

1073

1073

1086

1100

1150

1195

1158

1126

1105

1078

1063

1047

1044

1055

1051

1048

1046

1058

1071

1072

107 3

1060

1060

1046

1044

1069

1091

1101

1121

1190

1225

1173

1102

1054

1042

1042

1028

1042

1040

1077

1086

1083

567.9

567.4

566.1

564.2

562.1

560.1

558.5

557.5

557.2

557.4

558.1

553.9

559.7

560.1

560.1

559.7

558.9

558.1

557.4

557. 1

557.5

558.5

560.1

562.1

564.2

566.1

567.8

568.3

567.9

566.8

564.9

562.8

560.6

558.8

557.6

557.0

557.0

557.6

558.5

559.3

559.9

560.1

559.9

559.3

558.6

557.9

557.5

557.7

553.5

559.9

561.8

563.9

565.9

567.3

568.1

568.0

567.0

565.4

563.3

561.1

174.0

178.5

182.3

185.1

186.8

187.6

187.9

187.8

187.8

188.3

189.5

191.7

194.9

19B.9

203.2

207.3

210.4

212.5

213.6

213.9

213.6

213.3

213.2

213.6

214.8

217.1

220.4

224.5

228.6

232.2

234.9

236.4

237.1

237.0

236.6

236.2

236.2

236.8

238.4

241.0

244.6

248.8

252.8

256.1

258.5

259.8

260.3

260.3

260.0

259.9

260.3

261.5

263.8

267.1

271.3

275.8

280.1

283.4

285.7

287.0

141.8

142.4

144.4

147.7

152.1

157.2

162.7

168.0

171.7

171.5

167.9

163.6

159.7

156.4

153.8

152.0

150.7

149.4

147.9

145.7

142.6

138.5

133.6

128.2

122.8

117.7

113.2

109.«

107.7

107.0

107.7

109.8

112.9

116.6

120.4

123.8

126.3

127.4

127.0

125.1

122.2

118.6

114.8

111.1

107.8

105.0

102.7

100.7

98.8

96.9

94.7

92.2

89.2

86.0

82.5

79.2

76.3

74.0

72.4

71.7

129.0

131.9

135.6

139.9

144.5

149.1

153.1

156.2

158.0

158.8

158.9

159.0

159.5

160.8

163.2

166.7

171.1

176.0

175.3

168.9

161.6

154.1

146.8

139.9

133.7

128.5

124.7

122.4

121.8

122.8

125.4

129.3

134.3

139.8

145.3

150.3

153.7

155.0

153.9

151.1

147.4

143.7

140.3

137.3

134.9

132.9

131.1

129.2

127.0

124.4

121.2

117.6

113.8

110.0

106.5

103.6

101.5

100.3

100.0

100.4
7 4 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. S

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 al

MJD -107

P 10'PR -WeA logp. log p8 T,

(km) (deg.) (deg.) (deg.)

36997.5

37000.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

37020.0

21.0

22.0

37023.0

23.5

24.0

24.5

25.0

25.5

26.0

26.5

37027.0

28.0

29.0

37030.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

79.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

37100.0

02.5

05.0

07.5

10.0

1.58

1.51

1.38

1.35

1.31

1.32

1.34

1.49

1.61

2.06

2.13

2.51

2.97

3.35

4.26

5.56

7.69

6.77

5.02

3.20

2.66

2.28

2.13

2.13

2.29

2.37

2.46

2.56

2.62

2.66

2.75

3.07

2.79

2.51

2.39

2.66

3.20

3.71

3.52

3.05

2.70

2.39

2.59

2.72

2.31

2.82

3.06

3.21

3.70

4.18

3.69

3.26

2.68

2.37

2.15

2.29

0.19

D.19

o.n

0.13

0.18

0.1H

0.19

0.20

0.20

0.20

0.20

0.20

0.20

0.20

0.20

0.20

0.20

0.20

0.20

0.20

0.20

0.20

0.2 0

0.13

0.11

0.09

0.06

0.03

0.00

-0.01

0.02

0.06

0.09

0.10

0.12

0.12

0.11

0.10

0.09

o.oa

0.06

0.05

0.04

0.03

0.02

0.00

-0.01

-0.02

-0.04

-0.05

-0.07

-0.09

-0.10

-0.10

-0.10

1.8

1.7

1.6

1.5

1.5

1.5

1.5

1.7

1.8

2.3

2.3

2.7

3.2

3.6

4.5

5.8

7.9

7.0

5.2

3.4

2.9

2.5

2.3

2.3

2.4

2.5

2.6

2.6

2.6

2.7

2.7

3.1

2.8

2.6

2.5

2.8

3.3

3.8

3.6

3.1

2.H

2.4

2.6

2.7

2.8

2.8

3.1

3.2

3.7

4.1

3.6

3.2

2.6

2 . 0

2.2

•15.49

.51

.54

.57

.57

.58

.59

.54

.52

•15.41

.41

.34

15.27

.21

.12

.00

•14.87

.92

•15.05

.23

•15.30

.36

.40

-15.39

.37

.35

.33

.33

.33

.32

.33

.27

.32

.35

.37

.32

.24

.17

.19

.25

.30

.36

.33

.31

.29

.29

.25

.23

.17

.12

.17

.22

.31

.37

.43

.39

15.51

.54

.57

.60

.60

.61

.61

.56

.53

15.43

.43

.36

15.28

.23

.13

.02

•14.89

.94

15.07

.25

15.32

.38

.42

15.42

.39

.37

.34

.34

.33

.31

.30

.24

.29

.33

.35

.31

.24

.18

.21

.27

.31

.38

.34

.32

.30

.30

.25

.24

.18

.13

.19

.24

.33

.38

.43

.38

1091

1077

1063

1049

1047

1046

1045

1068

1078

1130

1130

1167

1209

1240

1304

1385

1502

1454

1350

1227

1187

1153

1135

1136

1149

1162

1175

1179

118 3

1196

1198

1233

1205

1184

1172

1196

1235

1272

1255

1215

1191

1156

1176

1188

1199

1200

1227

1235

1275

1304

1266

1234

118 3

1156

1128

1153

559.1

557.7

556.9

556.8

557.2

557.8

558.7

559.4

559.9

559.9

559.9

559.7

559.6

559.5

559.4

559.2

559.1

559.0

558.9

558.8

558.7

558.5

558.4

558.4

558.8

559.3

560.6

562.3

564.4

566.4

568.1

569.1

569.3

568.6

567.2

565.3

563.2

561.2

559.7

553.8

558.6

558.9

559.6

560.5

561.3

561.7

561.7

561.2

560.4

559.6

558.9

558.7

559.1

560. I

561.7

563.7

2 87.6

287.7

2 87.7

288.0

288.8

290.5

293.2

297.0

301.5

306.0

307.7

309.3

310.7

311.4

312.0

312.5

313.0

313.5

314.0

314.4

314.7

315.3

315.7

316.1

316.4

316.5

316.6

317.0

318.2

320.3

323.4

327.5

332.1

336.4

340.0

342.6

344.1

344.7

344.8

344.6

344.6

345.0

346.2

348.4

351.7

355.8

0.1

4.0

7.0

9.0

10.0

10.2

10.0

9.8

9.8

10.4

71.7

72.2

72.8

73.2

73.0

72.0

70.0

66.9

63.1

58.6

56.7

54.9

53.0

52.1

51.3

50.4

49.6

48.8

48.0

47.3

46.6

45.5

44.5

43.8

43.2

44.2

46.3

49.1

51.8

54.0

55.3

55.3

54.1

51.6

48.0

43.4

38.2

32.6

27.1

22.0

17.7

14.6

13.0

12.3

12.0

11.5

10.3

8.7

7.5

8.4

12.2

17.6

23.8

30.5

37.2

43.5

101.2

102.1

102.6

102.5

101.4

99.3

96.2

92.2

87.9

83.6

81.9

80.3

78.8

78.2

77.5

76.9

76.3

75.8

75.3

74.8

74.4

73.7

73.2

72.9

72.9

73.7

75.0

76.3

77.3

77.6

76.9

75.2

72.6

69.2

65.3

61.2

57.0

53.3

49.9

47.1

44.8

42.7

40.6

38.2

35.4

32.1

28.4

24.5

21.2

19.5

20.4

23.9

29.1

35.1

41.0

46.4
N 0

 » DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 7 5

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—-Continued

Satellite 1959 al

MJD -10'p 107PR -107PA logp, log P a T,

(km)

o,-oo

(deg.)

(deg.)

* 3 0

(deg.)

37112.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

37200.0

02.5

05.0

07.5

37210.0

II.0

12.0

13.0

14.0

37215.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

2.40

2.76

2.95

2.91

2.85

2.92

2.99

3.10

3.26

3.48

3.32

2.97

2.84

?.86

2.52

2.39

2.01

2.29

3.29

4.74

5.89

6.48

6.06

4.47

3.22

3.11

2.90

3.06

3.28

3.61

4.10

5.02

5.29

5.91

5.74

4.92

4.35

3.69

3.26

3.32

3.41

3.91

4.01

4.11

3.46

3.37

3.20

3.28

3.24

2.50

1.50

2.07

1.76

1.46

1.67

2.00

2.03

2.22

-0.0/

-0.04

-0.01

0.00

0.00

0.00

o.co

0.00

0.00

-0.02

-0.05

-o.oe

-0.10

-0.13

-0.15

-0.17

-0.18

-0.19

-0.19

-0.19

-0.19

-0.19

-0.19

-0.20

-0.20

-0.21

-0.22

-0.22

-0.22

-0.22

-0.22

-0.22

-0.22

-0.22

-0.22

-0.21

-0.20

-0.20

-0.20

-0.20

-0.21

-0.21

-0.21

-0.21

-0.21

-0.22

-0.22

-0.17

-0.13

-0.13

-0.15

-0.16

-0.16

-0.14

-0.12

-0.09

-0.08

-0.10

2.3

2.7

2.9

2.9

2.8

2.9

3.0

3.1

1.3

3.5

3.3

2.9

2.7

2.7

2.4

2.2

1.8

2.1

3. 1

4.5

5.7

6.3

5.9

4.3

3.0

2.9

2.7

2.8

3.1

3.4

3.9

4.8

5.1

5.7

5.5

4.7

4.2

3.5

3. 1

3.1

3.2

3.7

3.8

3.9

3.2

3.2

3.0

3.1

3.1

2.4

1.4

1.9

1.6

1.3

1.6

1.9

2.0

2.1

•15.37

.30

.27

.27

.29

.27

.26

.24

.21

.18

.21

.26

.30

.30

.35

.39

.48

.41

.24

.08

14.98

.93

.96

•15.10

.26

.28

.31

.30

.26

.22

.16

.07

.05

•I*.99

•15.01

.or

.12

.21

.26

•15.27

.26

.19

.19

.18

15.26

.27

.30

.28

.28

.38

.61

.47

.54

.63

.54

.46

.45

.43

-15.36

.28

.25

.24

.26

.25

.24

.24

.22

.20

.22

.28

.31

.31

.36

.40

.48

.42

.25

.09

-14.99

.95

.98

-15.12

.28

.29

.32

.30

.25

.21

.14

.05

.03

-14.99

-15.01

.09

.14

.23

.29

•15.29

.28

.22

.21

.20

-15.28

.28

.31

.29

.29

.40

.63

.50

.57

.66

.56

.48

.46

.43

1167

1210

1231

1232

1221

1227

1232

1236

1249

1262

1244

1209

1191

1192

1164

1145

1102

1135

1228

1334

1408

1442

1416

1311

1211

1204

1188

1200

1228

1256

1296

136 1

1380

1414

1396

1337

1297

1241

1205

1202

1210

1247

1254

1260

1208

1208

1193

1202

1204

1145

1037

1097

1064

1026

1066

110 2

1115

1128

565.8

567.6

568.8

569.3

568.8

567.6

565.8

563.8

561.7

560.1

559.0

558.6

558.8

559.4

560.3

561.1

561.6

561.7

561.3

560.6

558.9

558.1

557.7

557.8

558.7

560.1

561.9

563.9

565.7

567.1

567.7

567.4

566.4

564.7

562.6

560.5

558.8

557.5

557.0

557.1

557.2

557.5

557.8

558.2

558.5

559.4

560.1

560.3

560.0

559.4

558.6

557.8

557.2

557.3

557.9

559.2

561.0

563.1

12.0

14.6

18.2

22.5

26.8

30.5

33.2

34.8

35.6

35.7

35.5

35.4

35.8

36.8

38.8

42.0

46.0

50.5

54.8

58.3

60.7

62.2

62.9

63.0

63.1

63.3

64.0

65.6

68.3

72.0

76.5

81.2

85.4

88.7

90.9

92.1

92.7

92.8

92.9

93.3

93.6

94.0

94.6

95.3

96.2

99.2

103.1

107.6

112.1

115.8

118.5

120.2

121.0

121.1

121.0

120.9

121.3

122.4

49.2

54.0

57.6

60.0

60.2

59.2

56.8

53.2

48.8

44.0

39.6

36.1

34.4

34.6

36.8

40.3

44.4

48.5

52.3

55.5

58.0

60.0

61.5

62.9

64.3

66.1

68.3

71.1

74.3

77.8

81.3

84.6

87.5

89.7

91.2

92.1

92.5

92.8

93.2

94.1

94.6

95.3

96.1

97.0

98.1

101.3

105.2

109.4

113.7

117.6

120.5

122.2

122.5

121.4

119.3

116.6

113.9

111.6

51.0

54.2

56.0

56.1

54.6

51.4

46.9

41.1

34.5

27.2

19.8

12.6

6.9

6.9

11.8

16.9

21.5

25.1

27.7

29.5

30.6

31.4

32.2

33.6

35.8

38.7

42.4

46.5

50.6

54.5

57.9

60.5

62.3

63.2

63.4

63.1

62.8

62.8

63.5

65.1

66.0

67.2

68.4

69.8

71.3

75.6

80.1

84.5

88.4

91.4

93.3

94.1

93.6

92.3

90.5

88.5

86.9

86.0
76 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. S

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 al

MJD

37248.0

49.0

37250.0

50.5

51.0

51.5

52.0

52.5

53.0

53.5

54.0

54.5

37255.0

56.0

57.0

58.0

59.0

60.0

61.0

37262.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

37300.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

-10'P

2.31

2.32

2.20

4.26

8.21

8.74

4.10

3.34

1.52

1.44

'.89

2.89

1.67

1.60

1.37

1.82

1.67

1.75

1.14

1.31

1.20

1.34

1.64

2.06

2.10

2.10

1.81

1.31

1.17

0.99

0.80

0.65

3.47

0.59

0.63

0.75

0.96

0.56

0.50

0.49

0.49

0.34

0.39

0.41

0.41

0.39

0.41

0.52

0.62

0.74

0.57

0.36

0.36

0.41

0.58

0.46

0.07

10rP.

-0.1 1

-0.12

-0.13

-0.13

-0.14

-0.14

-0.14

-0.15

-0.15

-0.14

-0.14

-0.14

-0.13

-0.11

-0.09

-0.08

-0.09

-0.10

-0.13

-0.16

-0.17

-0.16

-0.15

-0.14

-0.12

-O.ll

-0.10

-0.10

-0.09

-0.08

-0.07

-0.06

-0.05

-0.04

-0.03

-0.02

0.00

0.01

0.02

0.02

0.03

0.03

0.02

0.01

0.00

-0.01

-0.02

-0.02

-0.02

-0.01

0.00

0.02

0.03

0.05

0.06

0.08

0.09

-107PA

2 . 2

2 . 2

2 . 1

4 . 1

8 . 1

8 . 6

4 . 0

3 . 2

1 . 4

1 . 4

2 . 8

2 . 8

1 . 5

1 . 5

1 . 3

1 . 7

1 . 6

1 . 6

1 . 0

1 . 2

1 . 0

1 . 2

1 . 5

1 . 9

2 . 0

2 . 0

1 . 7

1 . 2

1 . 1

0 . 9

0 . 7

0 . 6

0 . 4

0 . 6

0 . 6

0 . 7

1 . 0

0 . 6

0 . 5

0 . 5

0 . 5

0 . 4

0 . 4

0 . 4

0 . 4

0 . 4

0 . 4

0 . 5

0 . 6

0 . 7

0 . 6

0 . 4

0 . 4

0 . 5

0 . 6

0 . 5

0 . 2

logp.

-15.41

. 4 1

-15.44

. 1 5

-14.85

. 8 3

-15.16

. 2 6

. 6 2

. 6 2

. 3 2

. 3 2

-15.59

. 5 9

. 6 6

. 5 4

. 5 7

. 5 7

. 7 7

-15.69

. 7 6

. 6 8

. 5 7

. 4 6

. 4 4

. 4 3

. 5 0

. 6 5

. 6 9

. 7 7

. 8 7

. 9 4

-16.11

-15.93

. 9 2

. 8 5

. 7 0

. 9 2

-16.00

. 0 0

. 0 1

. 1 1

. 1 1

. 1 2

. 1 2

. 1 2

. 1 1

. 0 1

-15.92

. 8 5

. 9 2

-16.09

. 0 9

-15.99

. 9 1

-16.00

. 3 9

logp.

-15.42

. 4 2

-15.44

. 1 5

-14.85

. 8 2

-15.15

. 2 5

. 6 1

. 6 1

. 3 1

. 3 1

-15.5 8

.58

. 6 4

. 5 2

. 5 5

. 5 5

. 7 5

-15.68

. 7 6

. 6 8

. 5 9

. 4 9

. 4 7

. 4 7

. 5 3

. 6 8

. 7 1

. 7 9

. 8 9

. 9 5

-16.13

-15.95

. 9 5

. 8 9

. 7 3

. 9 5

-16.02

. 0 2

. 0 1

. 1 0

. 0 9

. 0 9

. 0 9

. 0 9

. 0 9

. 0 0

-15.93

. 8 7

. 9 4

-16.12

. 1 2

. 0 2

-15.94

-16.02

. 4 1

T.

(°K)

1134

1135

1125

1295

1540

1568

1290

1228

1046

1046

1195

1195

1059

1059

1033

1084

1072

1072

9 8 8

1018

9 8 6

1015

1053

1099

1110

1111

10R0

1018

1006

9 7 7

942

9 2 3

8 77

92 4

923

9 4 3

9 9 7

9 2 4

9 0 3

905

9 0 7

8 8 4

885

8 8 6

8 8 6

8 8 6

885

9 0 9

9 30

9 4 9

92 7

8 7 9

879

9 0 4

9 2 7

9 0 5

8 1 2

z

(km)

561.3

562.1

562.9

563.3

563.6

564.0

564.3

564.6

564.9

565.2

565.4

565.6

565.8

566.1

566.2

566.2

566.1

565.9

565.6

565.2

563.4

561.4

559.6

558.3

557.6

557.5

558.0

558.7

559.6

560.2

560.5

560.2

559.6

558.7

557.8

557.2

557.1

557.6

558.8

560.5

562.6

564.7

566.4

567.5

567.8

567.3

566.0

564.1

562.1

560.2

558.7

557.8

557.5

557.9

558.6

559.4

560.1

(deg.)

122.8

123.6

124.5

125.1

125.7

126.3

127.0

127.7

128.4

129.2

130.0

130.8

131.7

133.4

135.2

136.9

138.6

140.1

141.5

143.3

145.4

146.4

146.6

146.4

146.0

145.8

146.1

147.3

149.6

152.8

156.8

160.9

164.4

167.0

168.5

169.1

169.0

168.6

168.3

168.3

169.0

170.8

173.6

177.4

181.7

185.9

189.4

191.8

193.2

193.8

193.8

193.7

193.7

194.2

195.6

197.9

201.4

to

(deg.)

111.3

110.6

110.2

110.0

109.9

109.8

109.8

109.9

110.0

110. I

110.3

110.5

110.8

111.5

112.5

113.6

114. *

116. 3

117.8

120.4

125.1

129.9

134.6

138.9

142.6

145.6

148.0

150.1

152.2

154.6

157.6

161.0

164.7

167.9

168.9

166.3

161.2

155.0

148.7

142.6

137.2

132.8

129.8

128.2

128.3

130.1

133.4

138.1

143.8

150.3

156.9

162.8

166.3

165.4

161.1

155.8

150.5

(deg.)

85.9

85.9

86.0

86.1

86.3

86.5

8S.B

87.1

87.4

87.8

88.3

88.7

89.2

90.3

91.6

92.9

94.3

95.8

97.3

99.7

103.5

107.1

110.4

113.2

115.8

118.1

120.5

123.1

126.0

129.2

132.6

136.0

139.0

140.9

141.4

140.3

137.6

133.9

129.8

125.8

122.4

120.0

119.1

119.6

121.7

125.3

130.1

136.0

142.4

149.1

155.5

160.7

163.8

164.0

162.0

159.2

156.8
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 7 7

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 al

MJD -107P 107PR -107PA logp, log P a

-16.22 -16.23

.22 .23

.09 .11

.09 .12

.21 .24

.39 .42

.39 .42

.39 .42

.21 .24

.09 .11

.39 .40

.22 .21

.40 .38

37357.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

0.21

0.21

0. 30

0.27

0.24

0.09

0.10

0.05

0.21

0.24

0.02

0.11

0.04

0.10

0.10

0.10

0.11

0.12

0.11

0.11

0.12

0.13

0.14

0.15

0. 16

0.17

0 . 3

0 . 3

0 . 4

0 . 4

0 . 3

0 . 2

0 . 2

0 . 2

0 . 3

0 . 4

0 . 2

0 . 3

0 . 2

1 ,

°K)

852

85 2

881

8 8 0

8 5 0

8 0 9

8 0 8

8 0 9

851

882

8 1 4

8 5 7

8 1 8

z

(km)

560.4

560.3

559.7

558.8

557.9

557.2

556.9

557.3

558.4

560.0

562.1

564.2

566.1

o,-oo

(deg.)

205.6

210.1

214.3

217.6

219.8

221.0

221.5

221.6

221.7

222.0

223.0

224.9

227.8

(deg.)

146.0

142.4

139.9

138.4

137.9

137.9

138.2

138.4

137.9

136.6

134.4

131.4

127.9

(deg.)

155.3

154.9

155.7

157.6

160.5

163.9

167.0

168.4

166.8

163.0

158.3

153.6

149.3
7 8 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. 8

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 al

MJD -10'P 107PB -107P A logp, log P. T.

(km) (deg.) (deg.) (deg.)

36645.0

47.5

50.0

36651.0

51.5

52.0

52.5

53.0

53.5

54.0

54.5

55.0

55.5

56.0

56.5

57.0

36657.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

36700.0

02.5

05.0

07.5

10. 0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

10.11

10.39

10.95

11.2

11.7

11.8

11.8

12.4

14.4

16.5

16.4

14.0

11.5

10.2

10.0

10.4

10.18

9.55

10.06

9.21

10.33

10.44

10.56

10.73

10.56

10.85

11.46

12.23

12.06

9.97

9.34

9.92

9.51

10.65

10.17

8.90

7.53

7.05

6.85

4.86

3.46

3.48

4.16

4.32

4.65

5.66

6.01

6.46

6.74

6.64

6.48

6.55

6.85

6.11

5.46

4.90

4.81

4.38

-0.03

-0.03

-0.03

-0.03

-0.03

-0.03

-0.03

-0.03

•O.03

-0.04

-0.04

-0.04

-0.04

-0.05

-0.05

-0.05

•0.05

-0.06

-0.08

-0.10

-0.11

-0.13

-0.14

-0.15

-0.16

-0.17

-0.18

-0.18

-0.18

-0.18

-0.19

-0.20

-0.21

-0.22

-0.24

-0.25

-0.25

-0.25

-0.25

-0.24

-0.22

-0.17

-0.10

-0.05

0.00

0.00

0.01

0.01

0.00

-0.05

-0.12

-0.19

-0.23

-0.25

-0.2 7

-0.2 8

-0.29

-0.30

10.I

10.4

10.9

11.2

11.7

11.8

11.8

12.4

14.4

16.5

16.4

14.0

11.5

10.2

10.0

10.4

10.1

9.5

10.0

9.1

10.2

10.3

10.4

10.6

10.4

10.7

11.3

12.0

11.9

9.8

9.2

9.7

9.3

10.4

9.9

8.6

7.3

6 . 8

6.6

4.6

3.2

3.3

4 . 1

4 . 3

4.6

5.7

6.0

6.5

6 . 7

6.6

6.4

6.4

6.6

5.9

5.2

4.6

4.5

4.1

14.76

.75

.73

14.71

.69

.69

.69

.67

.60

.54

.54

.61

.70

.75

.76

.74

14.75

.78

.75

.79

.75

.74

.74

.73

.74

.73

.70

.68

.68

.76

.79

.77

.79

.74

.77

.83

.90

.94

.95

-15.10

.26

.24

.15

.12

.09

.00

-14.98

.94

.93

.94

.96

.96

.95

15.00

.06

.11

.13

.17

•14.73

.72

.71

14.70

.68

.68

.68

.66

.60

.54

.54

.70

.75

.76

.74

14.76

.79

.77

.81

.76

.76

.75

.74

.75

.73

.71

.69

.69

.78

.81

.79

.81

.76

.78

.84

.90

.93

.97

15.12

.28

.26

.17

.15

.12

.03

.01

-14.9 7

.95

.95

.96

. ^ 6

.94

. 9 9

•15.04

.10

.11

.16

1668

1680

1700

1712

1736

1739

1737

1765

1858

1953

1946

1834

1713

164 7

1636

1655

1638

1603

1625

1578

1634

1640

1648

1660

1652

1667

1696

1727

1718

1613

1580

1602

1582

1637

1615

1554

1489

1466

1432

1313

1213

1222

1281

1294

1313

1381

1399

1429

1443

1441

1434

1438

1453

1414

1370

1329

1319

1286

569.3

568.5

567.2

566.5

566. I

565.8

565.4

565.0

564.6

564.2

563.8

563.4

563.0

562.7

562.3

561.9

561.6

560. 1

559.1

558.7

558.9

559.4

560.2

560.9

561.5

561.7

561.4

560.8

560.0

559.1

558.3

557.9

558.0

558.7

560.0

561.7

563.5

565.3

558. 7

559.1

559.1

558.8

558.2

557.4

556.6

556.2

556.2

556.8

557.9

559.6

561.5

563.5

565.3

566.6

567.2

567.0

566.1

564.5

9.6

13.6

16.8

17.9

18.4

18.8

19.2

19.5

19.8

20.1

20.3

20.5

20. 7

20.9

21.0

21.1

21.2

21.3

21.2

21.1

21.4

22.2

23. B

26.4

29.8

33.8

37.8

41.4

44.2

46.0

46.9

47.2

47.0

46.7

46.6

46.8

47.8

49.7

52.5

56. 1

60.0

63.8

66.9

69.1

70.4

70.8

70.8

70.4

70.0

69.8

70.2

71.4

73.5

76.6

80.2

84.1

87.6

90.3

32. 7

33. 4

3 2 . B

32.3

32.0

31.6

31.2

30.8

30.4

29.9

29.4

28.9

28.4

27.8

27.3

26.7

26.2

23.5

21.6

21.0

22.0

24.5

27.7

31.2

34.5

37.4

39.8

41.6

42.9

44.0

45.0

46.4

48.2

5 0.9

54.2

58.2

62.7

67. 3

71.8

75.8

79.0

81. 1

82.1

81.9

80.5

78.2

75.2

72.0

69.0

66. 5

65.0

64.5

65.3

67. 2

69. 9

73.2

76.8

80. 3

36.8

34.5

31.2

29.7

28.9

28.1

27.2

26.3

25.4

24.5

23.6

22.7

21.7

20.7

19.8

18.8

17.8

13.3

9.8

8.9

10.9

14.0

17.0

19.3

20.8

21.3

20.8

19.6

17.9

16.4

16.2

18.1

22.0

27.2

33.1

39.3

45.3

50.8

55.5

59.1

61.5

62.5

62.1

60.4

57.6

54.0

49.8

45.6

41.9

39.1

37.6

37.8

39.3

41.9

45 .0

48.4

51.6

54.5
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 7 9

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 o2

MJD -10'P 107P, -107PA logp, logPg T. z

(deg.) (deg.) (deg.)

36762.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

36800.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

36900.0

02.5

05.0

07.5

10.0

5.48

6.89

6.27

4.91

4.50

3.29

3.46

i.80

3.25

3.26

3.28

3.4 1

2.58

2.33

2.36

2.91

3.16

4.11

4.13

4.B8

S.90

5.44

4.75

A.07

2.94

2.88

2.85

2.87

3.98

4. 16

3.51

3.17

2.88

2.65

2.25

L.85

1.23

1.75

1.56

2.12

2.34

2.20

2.29

2.25

2.28

2.23

2.09

2.07

2.05

1.90

1.90

1.61

1.48

1.44

1.20

2.28

2.47

2.20

2.13

1.80

-0.30

-0.29

-0.28

-0.2 8

-0.28

-0.27

-0.27

-0.27

-0.27

-0.26

-0.21

-0.14

-0.08

-0.12

-0.20

-0.19

-0.19

-0.18

-0.17

-0.11

-0.03

-0.01

0.00

-0.01

-0.05

-0.15

- 0 . 19

-O.20

-0.19

-0.18

-0.16

-0.15

-0.14

-0.12

-O.ll

-0.10

-0.10

-0.10

-0.10

-0.11

-0.12

-0.13

- 0 . 13

-0.14

-0.14

-0.13

-0.11

-0.08

-0.06

-0.05

-0.04

-0.03

-0.02

-0.01

0.01

0.02

0.02

0.02

0.04

0.05

5.2

6.6

6.0

4.6

4.2

3.0

3.2

3.5

3.0

3.0

3.1

2.9

2.5

2.2

2.2

2.7

3.0

3.9

4.0

4.8

5.9

5.4

4.8

4.1

2.9

2.7

2.7

2.7

3.8

4.0

3.4

3.0

2.7

2.5

2.1

1.8

I. 1

1.6

1.5

2.0

2.2

2.1

2.2

2.1

2.1

2.1

2.0

2.0

2.0

1.8

1.8

1.6

1.5

1.4

1.2

2.3

2.5

2.2

2.2

1.8

-15.06

•14.96

•15.00

.12

.16

.31

.28

.25

.32

.32

.30

.33

.39

.44

.43

.34

.29

.18

.16

.09

.00

.04

.10

.17

.33

.36

.35

.35

.19

.16

.23

.28

.32

.35

.43

.49

.71

.55

.58

.46

.42

• 4<,

.41

.43

.42

.42

.43

.43

.43

.47

.47

.52

.55

.58

.64

.36

.32

.38

. 37

.46

15.06

14.97

15.02

.14

.19

.34

.32

.28

.34

.34

.32

.31

.37

.43

.43

.35

.31

.20

.20

.12

.04

.08

.13

.20

.35

.38

.33

.37

.22

.20

.26

.32

.36

.39

.46

.51

.72

.55

.57

.44

.40

.42

.40

.43

.43

.44

.46

.46

.47

.51

.51

.56

.58

.60

.67

.38

.35

.41

.41

.50

1354

1429

1387

1296

1266

1175

1189

1211

1174

1175

1185

1192

1158

1129

1128

1172

1194

1258

1261

1310

1373

134 3

1305

1260

1171

1155

1157

1158

1246

1262

1220

1190

1167

1152

1116

1088

1001

107 1

1061

1122

1144

1134

1144

1131

1129

1126

1113

1112

1111

1089

1090

1069

1059

1048

1021

1152

1172

1141

1140

1095

562.6

560.5

558.6

557.0

556.0

555.6

555.7

556.2

556.9

557.6

558.1

566.6

566.1

565.0

563.3

561.4

559.4

557.7

556.5

555.9

555.8

556.2

556.9

557.8

558.4

558.8

558.8

558.4

557.7

556.9

556.2

555.8

555.9

556.5

557.7

559.4

561.3

563.3

564.9

566.0

566.4

566.1

565.1

563.5

561.6

559.6

557.9

556.6

555.9

555.8

556.2

556.9

557.8

558.5

558.9

559.0

558.6

557.9

557.1

556.4

92.1

93.0

93.3

93.1

92.7

92.5

92.7

93.5

95.2

98.0

101.5

105.7

109.8

113.2

115.8

117.5

11B.3

118.6

118.5

118.4

118.5

119.1

120.5

122.8

126.0

129.9

134.1

138.0

141.2

143.5

144.9

145.5

145.7

145.6

145.5

145.8

146.7

148.4

151.1

154.6

158.7

162.8

166.3

169.0

170.7

171.6

171.8

171.6

171.2

171.0

171.3

172.3

174.1

176.8

180.3

184.0

187.6

190.4

192.4

193.4

83.6

86.6

89.2

91.4

93.4

95.4

97.5

99.7

102.3

105.2

108.3

111.5

114.5

117.0

118.9

119.9

120.1

119.4

118.2

116.e

115.5

114.7

114. o

115.5

117.3

120.2

124.0

128.3

133.1

137.7

141.7

144.5

145.7

145.2

143.2

140.4

137.5

134.8

132.8

131.8

132.0

133.4

135.9

139.5

143.9

148.9

154.2

159.7

164.8

169.0

171.6

171.9

170.6

169.1

168.1

167.8

168.1

168.6

168.5

166.9

57.1

59.3

61.4

63.4

65.5

67.9

70.7

73.8

77.1

80.6

84.0

87.1

89.5

91.2

92.1

92.1

91.3

90.1

88.8

87.5

86.8

86.3

87.8

89.8

92.7

96.2

100.3

104.4

103. 3

111.6

114.0

115.4

115.8

115.4

114.4

113.2

112.2

111.6

111.8

112.8

114.6

117.2

120.5

124.2

128.0

131.6

134.9

137.7

140.0

141.7

143.2

144.6

146.3

148.4

151.0

154.2

157.7

161.2

163.7

163.9

677-550 O - 63 - 6
80 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. S

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 a2

MJD

36912.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80. 0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

37000.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

37021.0

21.5

22.0

22.5

23.0

23.5

24.0

24.5

25.0

25.5

26.0

26.5

27.0

27.5

28.0

-107P

1.48

1.27

0.71

0.47

0.64

1.14

1.42

1.55

1.92

1.81

1.50

1.59

1.64

1.63

1.27

1.38

1.33

1.26

1.55

1.59

1.90

2.21

2.46

1.86

1.81

1.49

0.93

0.83

0.63

0.46

0.18

0.13

0.13

0.46

0.63

0.89

0.94

0.67

0.74

0.61

0.46

0.78

1.07

1.48

1.35

1.4S

1.75

1.75

2.05

2.15

2.55

2.85

2.94

2.54

2.24

2.04

1.74

1.44

1.14

10'PK

0.06

0.08

0.09

0.11

0.12

0.14

0.14

0.12

0.12

0.11

0.09

0.07

0.06

0.05

0.05

0.05

0.06

0.07

0.08

0.10

0.11

0.13

0. 15

0.16

0.17

0.17

0.18

0.20

0.20

0.20

0.21

0.21

0.22

0.22

0.24

0.24

0.25

0.26

0.26

0.26

0.26

0.25

0.25

0.25

0.25

0.25

0.25

0.25

0.25

0.25

0.25

0.25

0.26

0.26

0.26

0.26

0.26

0.26

0.26

-107P A

1.5

1 . 4

0 . 0

0 . 6

0 . 8

1 . 3

1 . 6

1.7

2 . 0

1 . 9

1.6

1.7

1.7

1 . 7

1 . 3

1 . 4

1 . 4

1.3

1 . 6

1 . 7

2 . 0

2 . 3

2 . 6

2 . 0

2 . 0

1.7

1.1

1 . 0

0 . 8

0 . 7

0 . 4

0 . 3

0 . 4

0 . 7

0 . 9

1.1

1.2

0 . 9

I .0

0 . 9

0 . 7

1 . 0

1.3

1.7

1 . 6

1.7

2 . 0

2 . 0

2 . 3

2 . 4

2 . 8

3 . 1

3 . 2

2 . 8

2 . 5

2 . 3

2.0

1.7

1.4

log p.

-15.54

.57

. 8 1

. 9 4

. 8 2

. 6 1

. 5 2

. 5 0

. 4 3

. 4 5

. 5 3

. 5 0

. 5 0

. 4 9

. 6 1

. 5 7

. 5 7

. 6 0

. 5 1

. 4 8

. 4 1

. 3 6

. 3 0

. 4 2

. 4 2

. 4 9

. 6 8

. 7 2

. 8 1

. 8 7

-16.12

. 2 4

. 1 2

-15.88

. 7 7

. 6 9

. 6 6

. 7 9

. 7 4

. 7 9

. 9 0

. 7 4

. 6 3

. 5 1

-15.53

. 5 1

. 4 4

. 4 4

. 3 8

. 3 6

. 2 9

. 2 5

. 2 3

. 2 9

. 3 4

. 3 8

. 4 4

. 5 1

. 5 9

log p.

-15.58

. 6 1

. 8 5

. 9 7

. 8 4

. 6 2

. 5 2

. 4 9

. 4 1

. 4 3

. 5 1

. 4 8

. 4 9

. 5 0

. 6 2

. 6 0

. 6 0

. 6 4

. 5 5

. 5 2

. 4 5

. 3 9

. 3 3

. 4 4

. 4 4

. 5 2

. 7 1

. 7 5

. 85

. 9 1

-16.16

. 2 8

. 1 5

-15.90

. 7 8

. 6 9

. 6 5

. 7 7

. 7 2

.77

. 8 9

. 7 4

. 6 3

. 5 3

-15.56

. 5 3

. 4 6

. 4 6

. 4 1

. 3 9

. 3 2

. 2 8

. 2 7

. 3 3

. 3 8

. 4 2

. 4 8

.55

. 6 4

T.

(°K)

1059

1046

9 5 6

9 1 9

96 0

1042

1086

1101

1139

1128

1092

1102

1100

1096

1040

1051

1048

1033

1072

1084

1119

1152

1182

1123

1123

1088

1006

9 8 9

9 5 4

9 3 5

8 7 0

8 4 2

8 7 2

9 3 9

9 7 8

1012

1030

98 3

1001

9 8 2

9 4 4

9 9 4

1036

1082

1069

1080

1112

1112

1141

1150

1186

1210

1217

1183

1155

1136

1105

1071

1034

z

(km)

555.9

555.9

556.5

557.7

559.3

561.3

563. 3

565.0

566.2

566.8

566.6

565.6

564.1

562.2

560.3

558.5

557.1

556.3

556.1

556.3

557.0

557.8

558.5

558.9

559.0

558.7

558.1

557.3

556.5

556.0

555.9

556.4

557.5

559.1

561.0

563.0

564.8

566.1

566.8

566.0

565.2

563.7

561.8

559.9

559.1

558.7

558.4

558.0

557.7

557.4

557.1

556.8

556.6

556.4

556.2

556.0

555.8

553.7

555.6

(deg.)

193.6

193.3

192.7

192.1

191.8

192.2

193.3

195.4

198.4

202.0

205.7

209.0

211.5

213.1

213.8

213.8

213. 4

212.9

212.6

212.7

213.5

215.2

217.9

221.4

225.3

229.1

232.3

234.6

2 36.1

236.7

236.8

236.6

236.5

236.6

237.2

238.7

241.1

244.4

248.4

252.7

2!>6.5

2 59.6

261.8

263.0

263.3

263.4

2 63.4

263.5

263.6

263.6

2 63.6

263.6

263. 6

263.6

263.5

2 63.5

263. 5

263.4

263.4

+0

(deg.)

163.5

158.8

153.2

147.3

141.2

135.4

130.2

125.7

122.4

120.3

119.6

120.4

122.5

125.8

130.0

134. 7

139.6

143.9

147. 2

148.8

148.3

146.2

142.9

139.2

135.4

132.1

129.4

127.2

125.7

124.6

123.8

123.0

121.9

120.4

118.3

115.8

112.8

109.7

106.6

103.7

101.3

99.5

98.2

97.4

97.2

97.2

97.1

97.0

97.0

96.9

96.8

96.8

96.7

96.6

96.6

96.5

96.4

96.3

96.1

im

(deg.)

161.3

156.6

150.9

144.8

139.0

133.6

129.2

125.9

124.0

123.6

124.7

127.3

131.2

136.3

142.3

149.0

156.1

163.3

170.4

176.4

174.9

169.5

164.6

160.6

157.5

155.5

154.3

153.8

153.8

153.8

153.3

152.1

149.9

146.9

143.3

139.4

135.6

132.2

129.4

127.3

126.0

125.5

125.6

126.0

126.2

126.3

126.4

126.5

126.5

126.6

126.6

126.6

126.6

126.5

126.5

126.4

126.2

126.0

125.8
MO. 1 DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 8 1

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 <*2

MJD -10 TP 107P, -107PA logp, log p. T,

(kni) (deg.) (deg.) (deg.)

3702 8.5

29.0

29.5

37030.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

37100.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

0.84

0.84

0.74

0.69

0.91

.11

.38

.77

.92

.99

.81

.86

2.01

1.61

0.99

0.97

1.33

1.21

1.23

1.11

1.02

0.77

0.63

0.70

1.03

1.16

.21

.46

.68

.81

.58

.38

1.36

1.38

1.46

1.72

1.94

2.36

2.67

2.69

2.46

2.40

7.26

1.98

1.69

1.66

1.39

1.19

1.12

1.19

1.31

1.45

1.47

1.70

2.54

3.44

5.07

5.97

4.97

0.26

0.26

0.26

0.26

0.27

0.27

0.28

0.28

0.28

0.28

0.27

0.26

0.24

0.21

0. 16

0.10

0.02

0.00

0.01

0.02

0.07

0.13

0.19

0.23

0.25

0.26

0.26

0.26

0.26

0.25

0.25

0.24

0.23

0.22

0.21

0.20

0.19

0.18

0.17

0.16

0.14

0.12

0.10

0.08

0.07

0.05

0.02

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.01

0.02

0.05

0.06

0.06

1. 1

I.I

1.0

1.0

1.2

1.4

1.7

2.0

2.2

2.3

2.1

2.1

2.2

1.8

1.2

I.I

1.4

1.2

1.2

1. 1

l . l

0.9

0.8

0.9

1.3

1.4

1.5

1.7

1.9

2.1

1.8

1.6

1.6

1.6

1.7

1.9

2.1

2.5

2.8

2.3

2.6

2.5

2.4

2.1

1.8

1.7

1.4

1.2

1. I

1.2

1.3

1.4

1.5

1.7

2.6

3.5

5.1

6.0

5.0

-15.70

.70

.74

-15.74

.67

.61

.53

.47

.43

.42

.46

.45

.43

.51

.68

.72

.61

.67

.68

.72

.72

.82

. 8 /

.83

.68

.65

.62

.57

.52

.47

.53

.58

.58

.58

.56

.51

.46

.39

.34

.33

.36

.38

.39

.44

.51

.53

.61

.68

.72

.68

.65

.62

.60

.55

.36

.23

.07

14.99

15.07

-15.74

.74

.79

-15.79

.71

.65

.57

.50

.46

.44

.48

.48

.46

.54

.72

.75

.64

.70

.70

.73

.72

.80

.85

.81

.65

.63

.61

.56

.52

.48

.55

.61

.61

.61

.58

.52

.47

.40

.34

.34

.37

.39

.41

.46

.53

.55

.63

.69

.72

.67

.63

.60

.57

.52

.33

.21

.05

•14.99

•15.07

993

992

977

977

1004

1029

1064

1096

1115

1124

1104

1104

1114

1074

1002

989

1031

1007

1010

999

1001

971

954

970

1028

1038

1046

1066

1085

1102

1069

1046

1046

1047

1060

1084

1107

1147

1175

1176

1159

1150

1142

1113

1082

1072

1038

1013

1002

1019

103 5

1050

1064

1087

1179

1253

1362

1414

1349

555.5

555.4

555.4

555.4

555.6

556.2

557.0

557.8

558.3

558.5

558.4

557.8

557.1

556.4

556.0

555.9

556.5

557.6

559.2

561.2

563.3

565.2

566.7

567.5

567.6

566.9

565.6

563.9

562.0

560.2

558.8

557.9

557.6

557.9

558.5

559.4

560.6

561.2

561.5

561.3

560.8

560.1

559.3

558.7

558.5

558.9

559.9

561.4

563.3

565.3

567.2

568.7

569.7

569.8

569.2

569.0

566.3

564.4

562.6

263.4

263.4

263.4

263.4

263.8

264.8

2 66.6

269.4

273.0

277.1

281 .1

2 84.5

287.1

288.7

289.5

289.6

289.4

289.2

289.1

289.6

290.7

292.8

295.8

299.6

303.5

307.2

310.1

312.1

313.2

313.4

313.2

312.8

312.5

312.5

313.1

314.5

316.8

320.3

323.8

327.6

330.9

333.4

335.0

335.7

335.8

335.6

335.2

335.1

335.5

336.7

338.7

341.7

345.5

349.6

353.6

356.8

359.1

0.5

1.2

96.0

95.8

95.6

95.4

94.0

91.8

89.0

85.5

81.7

77.7

74.0

70.9

68.7

67.7

67.8

69.0

71.1

73.6

76.2

78.5

80.1

80.8

80.4

78.9

76.4

73.2

69.4

65.3

61.1

57.2

53.6

50.5

47.9

45.6

43.4

41.3

39.0

36.3

33.3

30.1

27.0

24.5

23.3

23.9

26.3

30.1

34.6

39.3

43.6

47.2

49.8

51.2

51.1

49.7

46.8

42.7

37.4

31.2

24.3

125.5

125.2

124.9

124.5

122.1

118.7

114.7

110.3

106.0

102.1

98.8

96.5

95.2

95.0

95.9

97.6

99.7

101.9

103.9

105.3

105.8

105.4

103.9

101.6

98.6

95.3

91.8

88.4

85.3

82.4

79.9

77.6

75.3

73.0

70.5

67.8

64.8

61.6

58.4

55.4

53.0

51.4

50.9

51.7

53.5

56.1

59.1

62.1

64.7

66.5

67.2

66.8

65.0

62.1

58.1

53.3

48.0

42.6

37.5
82 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. g

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 <*2

MJD -107

P 107P» -10 7P , log P. log P. T.

(km) (deg.)

to

(deg.)

(deg.)

37170.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

37200.0

02.5

05.0

07.5

37210.0

10.5

11.0

11.5

12.0

12.5

13.0

13.5

14.0

14.5

37215.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

37245.0

46.0

47.0

48.0

49.0

50.0

51.0

52.0

53.0

54.0

37255.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

3.86

3.04

2.32

2.40

2.80

3.12

4.02

5.32

6.16

7.30

7.95

7.68

6.76

5.90

5.22

4.27

3.41

3.52

3.6?

3.93

4.33

5.44

6.34

6.04

5.95

5.75

5.36

4.47

5.04

5.70

6.04

5.11

3.89

3.76

3.91

4.09

4. 39

4.82

5.45

5.74

6.05

6.05

6.05

8.16

8.56

7.16

5.27

5.37

4.38

3.42

3.17

2.03

2.14

2.34

2.91

3.58

0.04

0.03

0.01

-0.01

-0.03

-0.05

-0.06

-0.07

-0.07

-0.07

-0.07

-C.O7

-O.OB

-0.08

-0.10

-0.11

-0.12

-0.12

-0.12

-0.13

-0.13

-0.14

-0.14

-0.14

-0.15

-0.15

-0.16

-0.17

-0.18

-0.18

-0.19

-0.20

-0.20

-0.21

-0.22

-0.22

-0.23

-0.24

-0.24

-0.24

-0.25

-0.25

-0.25

-0.26

-0.26

-0.26

-0.27

-0.27

-0.28

-0.27

-0.2 6

-0.2 5

-0.23

-0.20

-0.15

-0.09

3.9

3.1

2.3

2.4

2.8

3.1

4.0

5.2

6.1

7.2

7.9

7.6

6.7

5.8

5.1

4.2

3.3

3.4

3.5

3.H

4.2

5.3

6.2

5.9

5.8

5.6

5.2

4.3

4.9

5.5

5.8

4.9

3.7

3.6

3.7

3.9

4.2

4.6

5.2

5.5

5.8

5.8

5.8

7.9

8.3

6.9

5.0

5.1

4.1

3.2

2.9

1.8

1.9

2.1

2.8

3.5

-15.17

.27

.40

.38

.31

.27

.16

.04

-14.98

.90

.86

.88

.93

.99

-15.05

.13

-15.24

.22

.21

.17

.13

.03

-14.96

.98

.99

-15.01

-15.04

.12

.07

.02

.00

.07

.19

.20

.19

.17

.13

.10

-15.04

.02

.00

.00

.00

-14.87

.85

.93

-15.07

.06

-15.16

.27

.31

.51

.49

.44

.31

.21

15.18

.28

.41

.39

.32

.28

.16

.05

•14.98

.91

.87

.89

.94

•15.01

.06

.14

•15.25

.23

.22

.18

.14

.03

14.97

.99

.99

15.01

-15.04

.11

.05

.00

•14.97

-15.04

.17

.18

.18

.17

.14

.11

-15.06

.04

.02

.02

.03

-14.89

.87

.95

-15.09

.08

-15.18

.28

.32

.5?

.50

.46

.33

.24

1272

1210

1139

1149

1186

1213

1284

1366

1422

1484

1520

1502

1451

139 7

1354

1296

1231

1240

1248

1272

1301

1376

1432

1415

1410

1399

1374

1318

1364

1408

1429

1370

1281

1270

1272

12«2

1298

1319

1353

1369

1386

1384

1383

1497

1517

1443

1332

1338

1273

1208

1185

1081

109 3

1115

1180

1236

561.1

560.1

559.7

559.8

560.3

561.0

561.7

562.2

562.4

561.9

561.4

560.7

559.9

559.3

559.1

559.5

560.4

560.7

560.9

561.2

561.5

561.9

562.2

562.6

562.9

563.3

563.7

565.7

567.5

568.9

569.7

569.8

569.0

567.5

565.6

563.4

561.2

559.4

558.0

557.6

557.4

557.2

557.1

557.1

557.2

557.3

557.5

557.8

558.0

558.7

559.3

559.6

559.5

559.1

558.4

557.7

1.3

1.2

1.1

1.4

2.2

3.9

6.5

10.0

14.0

18.2

21 .9

24.8

26.8

27.9

28.3

28.4

28.3

28.3

28.2

28.3

28.3

28.3

26.4

28.4

28.6

28.7

28.8

30.0

32.1

35.1

38.9

43.0

47.0

50.3

52.7

54.1

54.7

54.7

54.4

54.3

54.2

54.1

54.0

54.1

54.2

54.4

54.7

55.2

55.8

58.0

61.0

64.7

6P.4

71.8

74.3

75.9

17.0

9.5

2.2

5.6

12.4

18.7

24.1

28.5

31.8

34.0

35.0

34.9

33.9

32.3

30.5

29.0

28.2

26.2

28.2

28.3

28.4

28.6

28.8

29.1

29.4

29.8

30.2

32.8

36.0

39.3

42.5

45.4

47.7

49.5

50.8

51.9

53.0

54.3

56.1

57.0

58.0

59.1

60.4

61.7

63.1

64.6

66.2

67.9

69.6

73.9

78.0

81.6

84.5

86.2

86.8

86.2

33.2

30.1

28.6

28.6

29.6

31.0

32.2

32.8

32.6

31.4

29.1

25.9

21.8

17.0

11.6

6.1

1.7

2.0

2.8

3.7

4.7

5.7

6.8

7.8

8.8

9.8

10.8

15.4

19.3

22.3

24.4

25.4

25.6

25.0

24.2

23.6

24.0

25.8

29.2

30.8

32.7

34.7

36.8

39.0

41.3

43.5

45.8

48.0

50.2

55.3

59.6

62.9

64.9

65.6

64.9

63.0
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 8 3

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 al

MJD -10 7

P 10'p. -107P A logp. logpB T,

(km)

o,-ao

(deg.)

to

(deg.) (deg.)

37275.0

77.5

80.0

82.5

85.0

87.5

90.0

92.5

95.0

97.5

37300.0

02.5

05.0

07.5

10.0

12.5

15.0

17.5

20.0

22.5

25.0

27.5

30.0

32.5

35.0

37.5

40.0

42.5

45.0

47.5

50.0

52.5

55.0

57.5

60.0

62.5

65.0

67.5

70.0

72.5

75.0

77.5

80.0

82.5

85.0

87.5

4.00

4.29

4.08

3.60

3.17

2.77

2.27

1.90

1.99

2.29

2.87

3.C4

2.67

2.13

1.75

1.52

1.32

1.02

0.95

0.83

1.08

1.19

1.31

1.2&

1.33

1.23

1.08

1.06

1.14

1.23

1.21

1.17

1.06

1.01

0.97

0.90

0.87

0.77

0.67

0.63

0.54

0.54

0.74

0.72

0.80

0.83

-0.03

0.00

0.00

0.00

-0.02

-0.07

-0.14

-0.19

-0.24

-0.26

-0.27

-0.28

-0.28

-0.29

-0.29

-0.28

-0.28

-0.28

-0.2 8

-0.27

-0.27

-0.26

-0.26

-0.24

-0.16

-0.12

-0.13

-0.19

-0.21

-0.21

-0.20

-0.18

-0.17

-0.14

-0.11

-0.07

-0.0?

-0.15

-0.18

-0.20

-0.2 0

-0.19

-0.18

-0.15

-0.1 4

-0.1 3

4.0

4.3

4. 1

3.6

3.2

2.7

2. I

1.7

i . e

2.0

2.6

2.8

2.4

1.8

L.5

\.Z

1.0

0.7

0.7

0.6

0.8

0.9

1.0

1.0

1.2

1.1

1.0

0.9

0.9

1.0

1.0

1.0

0.9

0.9

0.9

0.8

0.8

0.6

0.5

0.4

0.3

0.3

0.6

0.6

0.7

0.7

15. 15

.12

.14

.20

.25

.33

.44

.54

.52

.48

.36

.33

.40

.53

.60

.70

.78

.94

.94

•16.01

•15.89

.84

.79

.79

.11

.74

.78

.82

.82

.77

.77

.77

.81

.82

.82

.88

.88

16.01

.09

.19

. 31

.30

15.99

.98

.91

.90

15.18

.15

.17

.22

.27

.34

.44

.53

.50

.46

.35

.52

.39

.52

.61

.72

.80

.97

.97

•16.04

•15.92

.87

.82

.82

.73

.77

.81

.85

.85

.80

.80

.80

.85

.84

.84

.89

.88

•16.00

.08

.17

.29

.29

15.99

•16.00

-15.93

.94

1272

1294

1280

1245

1216

1176

1122

1080

1092

1115

1174

1189

1150

1084

1045

1002

970

919

918

898

933

949

965

966

996

984

970

955

955

971

971

971

956

957

959

944

945

909

890

867

8 39

«39

912

911

9 29

928

557.0

556.8

557.0

557.9

559.3

561.0

563.0

564.9

566.4

567.3

567.5

566.9

565.6

563.8

561.8

559.7

558.0

556.8

556.1

556.0

556.4

557.0

557.8

558.4

558.7

558.6

558.2

557.4

556.7

556.0

555.7

555.9

556.7

558.0

559.8

561.7

563.6

565.2

566.1

566.4

565.8

564.5

562.7

560.7

558.6

556.8

76.6

76.6

76.2

75.6

75.1

75.1

75.7

77.2

79.7

83.0

86.7

90.3

93.3

95.5

96.6

97.0

96.8

96.4

95.9

95.7

96.1

97.3

99.4

102.5

106.2

110.1

113.7

116.6

118.5

119.6

119.9

119.9

119.7

119.6

119.9

120.9

122.8

125.7

129.4

133.6

137.7

141.2

143.9

145.6

146.4

146.7

84.5

81.9

78.8

75.5

72.6

70.3

69.0

68.9

70.0

72.2

75.1

78.5

82.1

85.5

88.7

91.4

93.8

95.8

97.7

99.5

101.5

103.7

106.3

109.1

112.0

114.9

117.6

119.6

121.0

121.5

121.1

120.1

118.7

117.3

116.2

115.8

116.2

117.7

120.2

123.6

127.9

132.6

137.3

141.6

144.9

146.6

60.0

56.3

52.3

48.4

45.1

42.9

42.1

42.7

44.6

47.3

50.4

53.7

56.8

59.5

61.9

64.0

65.9

67.8

69.9

72.3

75.0

78.0

81.3

84.5

87.5

90.1

92.1

93.2

93.5

93.0

92.0

90.6

89.3

88.3

88.0

88.5

90.1

92.7

96.0

100.0

104.1

108.2

111.7

114.5

116.2

116.9
84 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. •

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters-Continued

Satellite 1959 Eta

MJD -10 7 P 10'PR -1O7P A log p. log p. T.

(km) (deg.) (deg.) (deg.)

36834.0

36.0

38.0

40.0

42.0

44.0

46.0

48.0

50.0

52.0

54.0

56.0

58.0

60.0

62.0

64.0

66.0

68.0

70.0

72.0

74.0

76.0

78.0

80.0

82.0

84.0

86.0

88.0

90.0

92.0

94.0

96.0

98.0

36900.0

02.0

04.0

06.0

08.0

10.0

12.0

14.0

16.0

18.0

20.0

22.0

24.0

26.0

28.0

30.0

32.0

34.0

36.0

38.0

40.0

42.0

44.0

46.0

48.0

50.0

52.0

3.92

4.10

3.63

3.49

3.58

3.32

3.12

2.49

1.69

1.32

1.67

2.07

2.49

2.64

2.31

2.33

2.08

1.86

L.89

1.84

2.08

2.11

1.78

1.83

1.85

1.78

1.79

1.77

1.69

1.58

1.86

2.10

2.12

2.11

2.42

2.27

1.81

1.95

1.96

1.84

1.98

1.75

1.61

1.55

1.41

1.20

1.63

2.24

2.56

2.78

2.81

2.71

2.76

2.84

2.70

2.45

2.66

2.29

2.44

2.48

0.02

0.03

0.04

0.06

0.06

0.07

0.08

0.06

0.09

O.10

0.10

0.10

0.10

0.10

0.09

0.08

0.08

0.08

0.08

0.08

0.08

0.08

0.08

0.09

O.10

0.10

0.J1

0.12

0.13

0.14

0.14

0.15

0.15

0.15

0.16

0.16

0.16

0.17

0.18

0.18

0.18

0.19

0.19

0.19

0.20

0.20

0.20

0.20

0.19

0.18

0. 17

0.15

0.13

0.10

0.07

0.04

0.04

0.05

0.07

0.09

3 . 9

4 . 1

3 . 7

3 . 6

3 . 6

3 . 4

3 . 2

2 . 6

1 . 8

1 . 4

1 . 8

2.1

2 . 6

2 . 7

2 . 4

2 . 4

2.1

1 . 9

2 . 0

1 . 9

2.2

2.2

1 . 9

1 .9

2 . 0

1 . 9

1 . 9

1 . 9

1 .8

1 . 7

2 . 0

2 . 2

2 . 3

2 . 3

2 . 6

2 . 4

2 . 0

2 . 1

2 . 1

2 . 0

2.2

1 . 9

1 . 8

1 . 7

1 . 6

1 . 4

1 . 8

2 . 4

2 . 8

3 . 0

3 . 0

2 . 9

2 . 9

2 . 9

2 . 8

2 . 5

2 . 7

2 . 3

2 . 5

2 . 6

-14.94

. 9 2

. 9 6

. 9 8

. 9 8

-15.00

. 0 3

. 1 2

. 2 8

. 3 9

. 2 9

. 2 0

. 1 3

. 1 1

. 1 6

. 1 6

. 2 0

. 2 6

. 2 3

. 2 5

. 1 9

. 1 9

. 2 5

. 2 5

. 2 3

. 2 6

. 2 6

. 2 6

. 2 8

. 3 1

. 2 4

. 2 0

. 1 8

. 1 8

. 1 2

. 1 6

. 2 4

. 2 2

. 2 2

. 2 4

. 2 0

. 2 7

. 3 0

. 3 2

. 3 6

. 4 2

. 3 1

. 1 9

. 1 2

. 0 9

. 0 9

. 1 0

. 1 0

. 0 9

. 1 1

. 1 5

. 1 1

. 1 8

. 1 4

- 13

-14.97

. 9 5

. 9 9

-15.00

-14.99

-15.01

. 0 3

. 1 1

. 2 6

. 3 7

. 2 5

. 1 6

. 0 9

. 0 8

. 1 3

. 1 4

. 1 8

. 2 6

. 2 4

. 2 7

. 2 1

. 2 2

. 2 8

. 2 8

. 2 6

. 2 8

. 2 8

. 2 8

. 3 0

.32

. 2 5

. 2 1

. 1 9

. 1 9

. 1 4

. 1 8

. 2 6

. 2 5

. 2 5

. 2 7

. 2 2

. 2 8

. 3 0

. 3 2

. 3 4

. 4 0

. 2 8

. 1 6

. 0 9

. 0 6

. 0 6

. 0 8

. 0 8

. 0 8

. 1 0

• 16

. 1 3

. 2 1

. 1 7

. 1 6

1227

1242

1214

1209

1212

1201

1189

1140

1059

1012

1065

1111

1152

1160

1128

1124

1099

106 3

1070

1056

1084

1082

1049

1049

1060

1051

1052

1053

1044

1033

1066

1087

1096

1094

1121

1100

1059

1068

1068

1057

1079

1049

1040

1031

1022

999

1050

1115

1154

1172

1171

1160

1158

1155

1143

1112

1128

1088

1105

1114

511.5

511.5

511.8

512.4

513.5

514.8

516.3

517.8

519.3

520.6

521.5

522.0

522.0

521.6

520.7

519.4

517.9

516.3

514.8

513.4

512.2

511.5

511.1

511.0

511.3

511.9

512.5

513.2

513.8

514.2

514.4

514.3

514.0

513.5

512.9

512.2

511.7

511.4

511.4

511.7

512.4

513.4

5 14.8

516.3

517.8

519.3

520.5

521.4

521.9

521.8

521.4

520.4

519.2

517.6

516.2

514.6

513.3

512.2

511.5

511.2

196.4

198.4

198.3

198.1

198.0

198.1

198.6

199.5

201.0

203.2

205.9

209.0

212.3

215.4

218.2

220.4

222.0

223.0

223.5

223.5

223.3

222.9

222.6

222.4

222.4

222.9

224.0

225.6

227.7

230.4

233.3

236.3

239.0

241.2

242.8

243.8

244.2

244.2

243.9

243.3

742.7

242.2

242.0

242.0

242.6

243.8

245.6

247.9

250.7

2 53.6

256.4

258.8

260.7

262.0

2 62.7

262.8

262.6

262.2

261.7

261.2

157.7

160.4

161. 7

161.?

158.8

155. 1

150.8

146.2

141.6

137.3

133. 5

130.3

127.8

126. 1

125.2

125.1

125.7

126.9

128.7

130.8

133.1

135.3

137.2

138.6

139.4

139.4

138.7

137.3

135.5

133.3

131.0

128.8

126.6

124.6

122.B

121.2

119.7

118.3

116.8

115.2

113.4

111.3

108.9

106.3

103.4

100.5

97.5

94.7

92.1

90.0

88.5

87.6

87.4

88.0

89.2

91.0

93.2

95.7

98.2

100.5

162.7

166.5

168.2

167.0

163.5

159.1

154.5

150.2

146.3

143.0

140.4

138.7

137.8

137.7

138.6

140.2

142.6

145.6

149.1

152.9

156.9

160.9

164.4

167.0

168.1

167.3

165.2

162.6

160.0

157.5

155.3

153.5

152.0

150.8

149.7

148.7

147.5

145.9

143.9

141.5

138.5

135.1

131.4

127.6

123.7

120.0

116.7

113.8

111.5

109.9

109.1

109.2

110.0

111.6

113.9

116.6

119.7

122.9

125.9

128.5
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 8 5

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameter*—Continued

Satellite 1959 Eta

MJD 10'PH -107

P A logp.

(deg.)

+0

(deg.)

(deg.)

36954.0

56.0

58.0

60.0

62.0

64.0

66.0

68.0

70.0

72.0

74.0

76.0

78.0

80.0

82.0

84.0

86.0

88.0

90.0

92.0

94.0

96.0

98.0

37000.0

02.0

04.0

06.0

08.0

10.0

12.0

14.0

16.0

18.0

37020.0

20.5

21.0

21.5

22.0

22.5

23.0

23.5

24.0

24.5

25.0

25.5

26.0

26.5

27.0

27.5

37028.0

30.0

32.0

34.0

36.0

38.0

40.0

42.0

44.0

2.50

2.70

2.95

3.00

2.93

3.12

3.86

4.47

4.48

3.37

2.37

1.76

1.96

1.61

1.49

1.45

1.48

I .80

2.14

2.40

2.43

1.94

1 .96

2.03

2.27

2.29

2.38

2.33

2.47

2.48

2.55

2.98

3.02

3.52

3.43

3.10

3.10

4.00

4.33

4.41

4.74

6.04

8.33

7.68

6.70

5.72

4.74

3.43

2.45

3.40

3.28

3.52

3.70

3.86

3.88

4.02

4.11

4.28

0.11

0.12

0.14

0.16

0.17

0.18

0.19

0.19

0.20

0.20

0.20

0.20

0.20

0.20

0.20

0.20

0.20

0. 19

0.19

0.18

0.18

0. 18

0.18

O.I B

0.18

0.18

0. 18

0.18

0.18

0. 18

0.1T

0.17

0.17

0. 16

0.16

0.16

0. 16

0. 16

0.16

0.15

0. 15

0.15

0.15

0.15

0.15

0.14

0.14

0.14

0.14

0.14

0.14

0.13

0.14

0.14

0.14

0.14

0.13

0.13

2.6

2.8

3.1

3.2

1. I

3.3

4.0

4.7

4.7

3.6

2.6

2.0

2.2

1.8

1.7

1.6

1.7

2.0

2.3

2.6

2.6

2.1

2.1

2.2

2.4

2.5

2.6

2.5

2.6

2.7

2.7

3.2

3.2

3.7

3.6

3.3

3.3

4.2

4.5

4.6

4.9

6.2

8.5

7.8

6.8

5.9

4.9

3.6

2.6

3.5

3.4

3.6

3.8

4.0

4.0

4.2

4.2

4.4

-15.13

. 10

.06

.04

.06

.04

-14.96

.90

.90

-15.02

.16

.28

.23

.32

.35

.37

.35

.28

.22

.17

.17

.27

.27

.26

.22

.21

.19

.21

.19

.18

.17

.10

.09

-15.03

.04

.08

.08

-14.97

.94

.93

.90

.80

.66

.70

.76

.82

.90

-15.04

.18

-15.05

.07

.05

.03

.00

.00

-14.98

.98

.96

15.16

.13

.08

.06

.08

.05

14.97

.90

.91

15.03

.17

.29

.25

.34

.37

.39

.37

.29

.23

.17

.16

.?5

.25

.22

.19

.17

.15

.18

.16

.15

.16

.09

.10

•15.04

.05

.09

.09

•14.99

.96

.95

.92

.82

.68

.72

.78

.84

.92

15.06

.20

•15.07

.09

.06

.04

.01

.01

14.98

.98

.96

1113

1132

1158

116 7

1159

1175

1228

1275

1272

1191

1106

1046

1065

1023

1011

1000

1012

1046

1077

1108

1110

1065

1067

1078

1098

1107

1115

1104

lll l

1116

1113

1152

1148

1184

1176

1152

1152

1216

1236

1242

1261

1338

1462

1425

1371

132 0

1259

117 1

1092

1161

1154

1169

1184

1203

1204

1218

1218

1232

511.2

511.6

512.1

512.9

513.6

514.3

514.7

515.0

515.0

514.7

514.2

513.7

513.1

512.6

512.4

512.4

512.8

513.6

514.7

516.0

517.6

519.1

520.6

521.8

522.7

523.1

523.1

522.5

521.6

5 20. 3

518.8

517.2

515.7

514.3

514.0

513.7

513.5

5 13.3

513.0

512.9

512.7

512.6

512.4

512.4

512.3

512.3

512.2

512.2

512.3

512.3

512.7

513.3

514.1

515.2

515.8

516.2

516.4

516.3

260.9

260.9

261.3

262.3

263.9

266.2

268.9

271.9

274.9

2 77.7

280.0

281.8

282.9

2 83.5

2 83.7

283.6

283.3

2 83.0

2 82.8

282.9

283.4

284.3

2 85.9

288.1

290.8

2 94.0

297.3

300.4

303.2

305.4

3 07.0

308.0

308.6

308.7

308.7

308.7

308.6

306.6

308.5

308.5

308.4

308.4

308.3

308.3

308.2

308.2

3 08.2

308.2

308.2

308.2

308.5

309.3

310.6

312.5

3 14.9

317.9

321.1

324.3

102.5

103.9

104.6

104.6

103.8

102.2

100.1

97.5

94.6

91.6

88.6

85.8

83.2

81.1

79.4

78.1

77.2

76.5

76.0

75.5

74.9

74.2

73.1

71.7

70.0

68.0

65.7

63.3

60.9

58.6

56.5

54.7

53.4

52.4

52.2

52.1

52.0

51.9

51.8

51.7

51.6

51.6

51.6

51.6

51.6

51.5

51.5

51.5

51.5

51.5

51.4

50.9

50.2

48.9

47.2

44.9

42.2

39.0

130.6

131.8

132.0

131.4

129.8

127.7

125.1

122.3

119.4

116.8

114.3

112.2

110.5

109.2

108.1

107.3

106.6

106.0

105.2

104.2

103.0

101.5

99.6

97.6

95.3

93.0

90.6

88.5

86.5

84.9

83.6

82.7

82.1

81.8

81.8

81.7

81.7

81.7

81.6

81.6

81.6

81.5

81.5

81.4

81.4

81.3

81.2

81.1

81.0

80.8

80.0

78.8

77.1

75.0

72. 4

69.6

66.6

63.5
86 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

 V°L

- •

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 Eta

MJD

37046.0

48.0

5 0.0

52.0

54.0

56.0

58.0

60.0

62.0

64.0

66.0

68.0

70.0

72.0

74.0

76.0

78.0

80.0

82.0

84.0

86.0

88.0

90.0

92.0

94.0

96.0

98.0

37100.0

02.0

04.0

06.0

08.0

10.0

12.0

14.0

16.0

18.0

20.0

22.0

24.0

26.0

28.0

30.0

32.0

34.0

36.0

38.0

40.0

42.0

44.0

46.0

48.0

50.0

52.0

54.0

56.0

58.0

60.0

62.0

64.0

-107P

4.20

4.34

4.71

4.55

4.15

3.76

2.88

2.55

3.09

3.43

4.15

3.67

2.91

2.36

2.20

2.22

2.31

2.19

2.33

2.75

?.94

3.19

3.28

3.93

4.07

4.13

3.99

3.92

3.80

3.29

2.56

2.48

3.07

3.84

4.39

5.00

5.27

5.29

4.72

4.64

4.10

4.60

4.47

4.78

5.30

4.74

4.26

4.12

3.56

3.21

3.12

2.66

2.31

2.15

2.77

3.50

4.23

6.02

7.96

8.99

10TPR

0.1 2

0.1 1

0.1 0

0.09

0.08

0.07

0.06

0.04

0.03

0.02

0.00

0.00

O.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.01

0.03

0.05

0.07

0.07

O.07

0.06

0.05

0.0&

0.03

0.02

0.01

0.00

-0.01

-0.02

-0.02

-0.03

-0.03

-0.04-

-O.C>

-0.06

-0.07

-0.08

-0.09

-0.10

-0.10

-0.10

-0.10

-0.10

-0.10

-0.09

-0.07

-0.05

-0.01

0.00

0.00

0.00

0.00

0.00

-0.01

-10 7P A

4 . 3

4 . 4

4 . 8

4 . 6

4 . 2

3 . 8

3 . 0

2 . 6

3 . 1

3 . 4

4 . 2

3 . 7

2 . 9

2 . 4

2.2

2.2

2 . 3

2.2

2 . 3

2 . 8

3 . 0

3 . 2

3 . 3

4 . 0

4 . 1

4 . 2

4 . 0

4 . 0

3 . 8

3 . 3

2 . 6

2 . 5

3 . 1

3 . 8

4 . 4

5 . 0

5 . 2

5 . 3

4 . 7

4 . 6

4 . 0

4 . 5

4 . 4

4 . 7

5 . 2

4 . 6

4 . 2

4 . 0

3 . 5

3 . 1

3 . 0

2 . 6

2 . 3

2 . 1

2 . 8

3 . 5

4 . 2

6 . 0

8 . 0

9 . 0

logp.

-14.97

. 9 6

. 9 2

. 9 3

. 9 7

-15.01

. 1 1

. 1 7

. 0 9

. 0 5

-14.96

-15.02

. 1 2

. 2 1

. 2 5

. 2 5

. 2 3

. 2 6

. 2 4

. 1 5

. 1 2

. 1 0

. 0 8

-14.99

• 98

. 9 7

. 9 9

. 9 9

-15.01

. 0 7

. 1 7

. 1 9

. 1 0

. 0 1

-14.95

. 8 9

. 8 7

. 8 6

. 9 1

. 9 2

. 9 8

. 9 3

. 9 4

. 9 1

. 8 6

. 9 2

. 9 6

. 9 8

-15.04

. 0 9

. 1 1

. 1 7

. 2 2

. 2 6

. 1 4

. 0 4

-14.96

. 8 1

. 6 8

. 6 3

log p.

-14.97

. 9 6

. 9 2

. 9 4

- 9 8

-15.02

. 1 2

. 1 8

. 1 0

. 0 5

-14.95

-15.00

. 1 0

. 1 8

.n

.71

. 1 9

. 2 2

. 2 0

. 12

. 1 0

. 0 8

. 0 7

-14.99

. 9 8

. 9 8

-15.00

. 0 0

. 0 2

. 0 8

. 1 8

. 1 9

. 1 0

. 0 1

-14.94

. 8 8

. 8 7

. 8 6

. 9 1

. 9 3

. 9 9

. 9 4

. 9 5

. 9 2

. 8 7

. 9 2

. 9 6

. 9 7

-15.03

. 0 7

. 0 8

. 1 4

. 1 9

. 2 3

. 1 0

. 0 1

-14.93

. 7 8

. 6 7

. 6 2

T,

(°K)

1225

1232

1258

1246

1220

1193

1133

1101

1146

1174

1238

1206

1145

1102

1084

1085

1095

1083

1091

1134

1147

1160

1164

1213

1218

1223

1209

1209

1195

1159

1102

1095

1148

1204

1248

1288

1301

1306

1266

1258

1215

1249

1242

1262

1296

1259

1235

1224

1191

1162

1157

1125

1098

1078

1145

1202

1253

1368

1480

1528

z

(km)

515.9

515.4

514.7

514.1

513.6

513.3

513.3

513.7

514.5

515.6

517.0

518. 5

520.1

521.5

522.8

523.6

524.1

524. 1

523.6

522.6

521.4

519.9

5 18.4

516.9

515.6

514.6

514.0

513.7

513.8

514.2

514.9

515.6

516.3

516.9

517.3

517.4

517.3

516.8

5 16.1

515.3

514.6

514.0

513.6

513.6

513.9

514.7

515.7

517.1

518.6

520.1

521.5

522.7

523.5

523.8

523.7

523.1

522.1

520.7

519.2

517.5

o-ao

(deg.)

327.2

329.6

331 .4

332.6

333.2

333.4

333.3

333.0

332.7

332.5

332.5

332.9

333.9

335.4

337.5

340.1

343.1

346.2

349.2

351.7

353.6

355.0

355.7

355.9

355.8

355.4

3 54.9

354.5

354.3

354.4

354.9

356.0

357.8

O .I

2 . 8

5 . 8

8 . 8

11.5

13.6

15.2

16.2

16.7

16.7

16.5

16.1

15.7

15.5

15.5

16.0

16.9

18.5

20.8

23.5

26.7

29.9

32.9

35.5

37.6

39.0

39.9

(deg.)

35.7

32.4

29. 3

27.0

25.8

26. 1

27.8

30.8

34.4

38.4

42.5

46.4

49.8

52.6

54.7

56.0

56.4

55.8

54. A

52.2

49.1

45.5

41. 3

36.7

31.8

26.8

21.7

16.8

12.2

8 . 0

4 . 9

4 . 3

6 . 0

8 . 2

10.0

11.4

12.4

13.0

13.5

14.1

15.2

16.8

19.2

22.2

25.8

29.7

33.8

38.0

42.1

45.0

49.4

52.3

54.6

56.2

57.0

57.0

56.2

54.7

52. 7

50.2

(deg.)

60.6

58.1

56.1

54.9

54.6

55.0

56.3

58.2

60.5

63.0

65.4

67.7

69.5

70.7

71.2

71.0

70.1

68.5

66.2

63.4

60.1

56.6

53.0

49.4

46.0

42.8

40.0

37.6

35.6

33.8

32.3

30.9

29.4

27.7

25.8

23.5

21.0

18.4

15.8

13.8

12.9

13.9

16.5

20.2

24.5

29.0

33.5

37.7

41.5

44.7

47.3

49.2

50.1

50.2

49.3

47.5

44.8

41.4

37.3

32.6
NO. l DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 8 7

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 Eta

MJD -10'p 107PR -107PA log p. logpg T,

(km) (deg.) (deg.) (deg.)

37166.0

68.0

70.0

72.0

74.0

76.0

78.0

60.0

82.0

84.0

86.0

88.0

90.0

92.0

94.0

96.0

98.0

37200.0

02.0

04.0

06.0

08.0

10.0

12.0

14.0

16.0

18.0

20.0

22.0

24.0

26.0

28.0

30.0

32.0

34.0

36.0

38.0

40.0

42.0

44.0

46.0

37248.0

37249.0

49.5

50.0

50.5

51.0

51.5

52.0

52.5

53.0

53.5

54.0

54.5

55.0

55.5

56.0

56.5

8.01

6.28

<t.54

4-09

4.09

4.79

5.26

5.43

6.45

8.00

8. 78

9.34

9.94

9.67

9.57

9.97

9.6 0

8. 11

5.95

5.96

6.22

fc.53

6.48

6.36

6.33

6.10

6.28

6.30

5.71

4.81

4.43

4.07

4.08

3.58

3.63

4.15

4.73

4.70

4.89

5.32

5.32

5.62

7.22

9.22

9.52

6.62

4.62

4.92

4.22

5.52

6.22

5.22

5.22

4.22

3.62

0.01

0.02

0.05

0.0 7

0.C*

0.11

0.1?

0.14

0.15

0.16

0.16

0.17

0.17

0.17

0.16

0.16

0.1b

0. 16

0.15

0.14

0.14

0. 15

0. 16

0.17

0.17

0. 18

0.18

0.19

0.20

0.20

0.21

0.21

0.22

0.22

0.22

0.22

0.22

0.22

0.22

0.22

0.22

5.28 -0.22

-0.22

-0.22

-0.22

-0.22

-0.2 2

-0.22

-0.22

-0.22

-0.2 2

-0.2 2

0.22

-0.22

-0.22

-0.22

-0.22

-0.22

8.0

7.5

6.2

4.6

4.4

4.0

4.0

4.6

5. 1

5.3

6.3

7.8

8.6

9.2

9.8

9.5

9.4

9.8

9.4

8.0

5.8

5.8

6.1

6.4

6.3

6.2

6.2

5.9

6.1

6.1

5.5

4.6

4.2

3.8

3.9

3.4

3.4

3.9

4.5

4.5

4.7

5.1

5. I

5.1

5.4

7.0

9.0

9.3

6.4

4.4

4.7

4.0

5.3

6.0

5.0

5.0

4.0

3.4

-14.68

.71

.79

.92

.94

.98

.98

.92

.88

.86

.79

.70

.65

.62

.60

.61

.61

.59

.61

.68

.82

.82

.to

.78

.79

.80

.80

.83

.82

.82

.66

.94

.98

-15.02

.01

.07

.06

.01

-14.94

.94

.93

-14.89

-14.89

.90

.87

.76

.65

.64

.80

.96

.93

-15.0 0

-14.B8

. 8 3

.91

.91

-15.0 1

. 0 8

-14.68

.71

.80

.93

.95

.99

.99

.93

.89

.87

.79

.70

.65

.63

.60

.61

.62

.61

.63

.70

.84

.84

.81

.79

.79

.79

.79

.81

.79

.78

.83

.91

.95

-15.0 0

-14.9 9

-15.06

.06

.01

-14.96

.96

.95

-14.92

-14.92

.92

.90

.78

.67

.66

.82

.98

.96

-15.0 3

-14.90

.85

.93

.93

-15.02

.09

1467

1434

1356

1254

1239

1211

1211

1252

1286

1299

1361

1446

1492

1523

1552

1535

1527

I 545

1522

1448

1325

1326

1345

1365

136 3

1361

1365

1350

1366

1368

1332

1272

1242

1210

1214

117?

1 167

l?00

1236

1232

1241

1264

1263

126 2

1280

1370

1472

1486

1337

1217

1237

1191

1274

1315

1256

1257

1192

1150

516.0

514.7

513.6

512.9

512.6

512.6

512.9

513.4

514.0

514.6

515.0

515.2

516.0

515. /

515.2

514.5

513.8

513.1

512. 6

512.3

512.4

512.9

513.7

514.9

516.3

5 17.9

519.4

520.9

522.0

522.7

523.0

522.8

522.1

521.0

519.6

518.0

516.3

514.7

513.3

512.3

511.6

511.2

511.2

511.2

511.2

511.3

511.4

511.4

511.5

511.7

511.8

511.9

512.0

512.2

512.3

512.5

512.6

512.8

40.3

40.3

40.2

40.0

39.8

39.9

40.3

41.2

42.6

44.7

47.4

50.4

53.7

56.9

59.7

62.1

63.8

65.0

65.6

65.9

65.8

65.6

65.4

65.4

65.7

66.3

67.6

69.4

71.8

74.7

77.9

81.1

84.1

86.6

88.6

89.8

90.6

90.8

90.6

90.3

89.9

89.6

89.5

89.5

89.5

89.5

89.5

89.6

89.7

89.8

90.0

90.2

90.4

90. 7

91.0

91.3

91.7

92.1

47.5

44.7

42.3

40.4

39.3

39.3

40.3

42.2

44.9

48.1

51.5

54.8

57.9

60.7

63.0

64.8

66.0

66.6

66.8

66.6

66.2

65.7

65.2

65.0

65.1

65.7

66.7

68.2

70.1

72.2

74.5

76.9

79.2

81.3

83.2

84.9

86.4

87.6

88.7

89.8

90.9

92.2

92.9

93.2

93.6

94. 1

94.5

95.0

95.4

95.9

96.4

97.0

97.5

98. 1

98.7

99.3

99.9

100.6

27.6

22.3

17.2

12.6

9.8

10.5

13.9

18.3

22.8

27.1

31.0

34.2

36.8

38.7

39.9

40.4

40.3

39.7

38.8

37.6

36.6

35.7

35.4

35.6

36.5

38.0

40.0

42.4

44.9

47.4

49.7

51.8

53.7

55.2

55.4

57.3

58.2

59.0

59.8

61.0

62.4

64.3

65.4

66.0

66.6

67.2

67.8

68.5

69.2

69.9

70.7

71.4

72.2

73.0

73.8

74.6

75.4

76.2
88 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

 v

»^ •

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 Eta

MJD

37257.0

57.5

37258.0

60.0

62.0

64.0

66.0

68.0

70.0

72.0

74.0

76.0

78.0

80.0

82.0

84.0

86.0

88.0

90.0

92.0

94.0

96.0

98.0

37300.0

02.0

04.0

06.0

08.0

10.0

12.0

14.0

16.0

18.0

20.0

22.0

24.0

26.0

28.0

30.0

32.0

34.0

36.0

38.0

40.0

42.0

44.0

46.0

48.0

50.0

52.0

54.0

56.0

58.0

60.0

62.0

64.0

66.0

68.0

70.0

-10rP

3.22

3.22

3.56

2.84

2.00

1.39

1.74

2.17

2.57

2.79

2.68

2.72

2.55

2.61

2.94

2.88

2.34

1.87

1 .66

1.47

1.65

1.82

1.86

1.93

2.04

2.18

2.48

1.90

1.20

0.97

1.42

1.28

1.34

1.44

1.37

1.21

1.39

1.06

1.20

1.32

1.38

1.42

1.37

0.82

0.85

1.12

1.29

1.29

1.09

0.78

0.44

0.27

0.33

0.48

0.52

0.58

0.70

0.74

0.75

107P»

-0.22

-0.22

-0.23

-0.22

-0.19

-0.14

-0.07

-0.04

-0.06

-0.11

-0.12

-0.09

-0.04

-0.05

-0.08

-0.08

-0.08

-0.08

-0.08

-0.10

-0.12

-0.14

-0.16

-0.18

-0.18

-0.17

-0.15

-0.13

-0.10

-0.10

-0.13

-0.16

-0.16

-0.14

-0.14

-0.13

-0.13

-0.12

-0.12

-0.12

-0.12

-0.12

-0.12

-0.12

-O.ll

-0.10

-0.09

-0.08

-0.07

-0.07

-0.06

-0.06

-0.05

-0.05

-0.01

-0.04

-0.04

-0.05

-0.05

-10 7P A

3 . 0

3 . 0

3 . 3

2 . 6

1.8

1.2

1.7

2 . 1

2 . 5

2 . 7

2 . 6

2 . 6

2 . 5

2 . 6

2 . 9

2 . 8

2 . 3

1. 8

1.6

1.4

1.5

1.7

1 . 7

1.8

1.9

2 . 0

2 . 3

1.8

1. 1

0 . 9

1 . 3

l . l

1.2

1 . 3

1.2

1 . 1

1 . 3

0 . 9

1.1

1.2

1 . 3

1 . 3

1.2

0 . 7

0 . 7

1.0

1.2

1.2

1.0

0 . 7

0 . 4

0 . 2

0 . 3

0 . 4

0 . 5

0 . 5

0 . 7

0 . 7

0 . 7

logp.

-15.13

. 13

-15.09

. 1 9

. 3 5

. 5 2

. 3 6

. 2 6

. 1 8

. 1 5

. 1 6

. 1 6

. 1 8

. 1 6

. 1 1

.13

.22

. 3 3

. 3 9

. 4 5

. 4 2

. 3 7

. 3 8

. 3 5

. 3 3

. 3 1

. 2 5

. 3 5

. 5 6

. 6 4

. 4 8

. 5 5

. 5 1

. 4 7

. 5 1

. 5 5

. 4 7

. 6 3

. 5 4

. 5 1

. 4 7

. 4 7

. 5 0

. 7 3

. 7 2

. 5 6

. 4 8

. 4 8

. 5 5

. 7 1

. 9 5

-16.25

. 0 8

-15.95

. 8 6

. 8 6

. 7 2

. 7 2

. 7 2

logpg

-15.15

. 1 5

-15.10

. 2 0

. 3 6

. 5 3

. 3 8

. 2 8

. 2 0

. 1 7

. 1 9

. 19

.2\

. 1 9

. 1 4

. 1 5

. 2 3

. 3 4

. 3 8

. 4 4

. 4 0

. 3 5

. 3 5

. 3 2

. 3 0

. 2 8

. 2 2

. 3 4

. S 5

.6r>

. 4 9

. 5 7

. 5 3

. 5 0

. 5 4

. 5 7

. 5 0

. 6 5

. 5 6

. 5 2

. 4 8

. 4 7

. 5 0

. 7 4

. 7 4

. 5 8

. 5 0

. 5 0

. 5 8

. 7 4

. 9 8

-16.27

. 0 9

-15.96

. 8 6

. 8 5

. 7 0

. 6 9

. 6 9

T.

(°K)

1120

1120

1144

1090

1016

9 4 8

1008

1051

1089

1106

1097

1097

1088

1097

1124

1116

1073

1025

1004

983

996

1020

1020

1032

104 2

1051

1079

1026

9 4 0

910

962

935

947

9 5 9

94 6

9 3 4

96 0

9 0 9

9 3 8

95 3

967

9 6 9

9 5 7

885

886

9 3 1

9 5 9

9 5 8

9 3 1

8 8 6

82R

737

79 8

8 3 1

8 5 5

856

895

8 9 7

899

Z

(km)

512.9

513.0

513.2

513.6

513.8

513.8

513.5

513.0

512.4

511.7

511.1

510.7

510.6

510.8

511.3

512.3

S13.5

515.0

516.7

518.4

519.8

521.0

521.7

521.9

521.7

521.0

520.0

518.6

517.1

515.5

514.1

512.9

512.0

511 .5

511.4

511.6

512.1

512.7

513.4

514.0

514.4

514.7

514.6

514.4

513.9

513.2

512.6

512.0

511.6

511.4

511.6

512.2

513.2

514.5

516.0

517.6

519.1

520.5

521.6

°«"~aO

(deg.)

92.5

93.0

93.5

96.0

98. 8

101.7

104.6

107.0

109.0

110.2

lll.O

111. 1

110.9

110.5

109.9

109.3

109.0

108.9

109.3

110.2

111.7

113.3

116.4

119.4

122.3

124.9

127.0

128.6

129.5

129.9

129.9

129.6

129.1

128.6

128.2

128. 1

128.4

129.2

130.6

132.6

135.2

138.1

141.2

144.2

146. 7

148.7

150.1

151.0

151.3

151.3

151.1

150.8

150.6

150.6

150.9

151.7

153.1

155.1

157.8

(deg.)

101.2

101.9

102.6

105.3

108.1

110.8

113.1

114.9

116.1

116.4

116.0

114.8

112.9

110.5

107.8

105.0

102.2

99.6

98.0

96.7

96.2

96.4

97.5

99.3

101.7

104.6

107.8

111.2

114.6

117.9

120.9

123.5

125.8

127.6

129.1

130.3

131.4

132.4

133.6

134.9

136.5

138.4

140.6

143.0

145.4

147.7

149.8

151.2

151.9

151.7

150.6

149.0

146.9

144.6

142.5

140.8

139.5

138.9

139.0

ft.

(deg.)

77.0

77.8

78.6

81.8

84.7

87.2

89.1

90.3

90.8

90.5

89.4

87.7

85.5

83.0

80.3

77.7

75.4

73.6

72.4

71.9

72.1

73.2

74.9

77.1

79.6

82.4

85.2

88.0

90.5

92.8

94.9

96.6

98.2

99.5

100.8

102.2

103.6

105.3

107.1

109.1

111.3

113.5

115.8

118.0

119.8

121.4

122.4

122.8

122.8

122.2

121.2

120.0

116.8

117.7

116.9

116.6

116.8

117.7

119.2
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 8 9

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1959 Eta

MJD -10 7

P 1O7P, -107P A logp. logp. T.

(km) (deg.) (deg.) (deg.)

37372.0

74.0

76.0

78.0

80.0

82.0

84.0

86.0

88.0

90.0

92.0

94.0

96.0

98.0

37400.0

02.0

04.0

06.0

08.0

10.0

12.0

14.0

16.0

18.0

20.0

22.0

24.0

26.0

28.0

30.0

32.0

34.0

36.0

38.0

0.78

0.71

0.77

0.83

0.85

0.93

1.03

1.07

I. 11

1.08

1.01

0.92

0.81

0.71

0.60

0.71

0.72

0.58

0.66

0.63

0.50

0.37

0.27

0.17

0.21

0.24

0.32

0.4 1

0.56

0.65

0.65

0.64

0.57

0.48

-0.06

-0.06

-0.06

-0.06

-0.05

-0.04

-0.04

-0.03

-0.02

-0.01

0.00

0.00

0.02

0.02

0.03

0.03

0.04

0.0'«

0.04

0.03

0.02

0.02

0.01

0.00

0.00

0.00

0.01

0.02

0.02

0.02

0.04

0.04

0.06

0.06

0.7

0 . 6

0 . 7

0 . 8

0.8

0 . 9

0 . 9

1.0

1. 1

L .I

1.0

0.9

0.8

0.7

0.6

0.7

0.8

0.6

0.7

0.7

0.5

0.4

0.3

0.2

0.2

0.2

0.3

0.4

0.6

0.7

0.7

0.7

0.6

0.5

•15.7?

.79

.72

.65

.65

.59

.59

.54

.50

.50

.54

.58

.63

.69

.76

.70

.64

.77

.70

.70

.85

.94

•16.07

.24

.24

.24

.06

•15.93

.75

.69

.69

.69

.76

.84

-15.68

.75

.68

.62

.62

.58

.58

.54

.51

.51

.56

.61

.66

.72

.78

.71

.65

.77

.71

.71

.85

.95

-16.08

.26

.26

.26

.08

-15.96

.78

.71

.70

.69

.75

.82

900

883

901

918

917

932

930

94 4

956

954

938

923

907

891

874

892

909

875

893

894

856

834

803

745

744

743

801

832

874

893

895

897

88 1

863

522.2

522.4

522.1

521.3

520.2

518.8

517.3

515.7

514.3

513.2

512.4

511.9

511.9

512.1

512.6

513.3

513.9

514.5

515.0

515.1

515.1

514.7

514.2

513.5

512.9

512.3

511.9

511.8

512.1

512.8

513.8

515.1

516.7

518.2

160.8

164.1

167.4

170.3

172.7

174.6

175.7

176.4

176.6

176.6

176.4

176.2

176.1

176.3

177.0

178.1

179.8

182.2

185.0

188.2

191.4

194.4

196.9

198.9

2 00.2

201.0

201.3

201.2

2 00.9

200.6

200.3

200.3

200.6

201.4

140.0

141.7

144.2

147.5

151.5

156.1

161.2

166.7

172.2

176.5

173.8

168.1

162.3

156.7

151.4

146.6

142.4

138.9

136.2

134.3

133.3

133.2

134.0

135.6

137.9

140.8

144.2

147.9

151.6

155.0

157.9

159.8

160.5

159.9

121.5

124.3

127.5

131.2

134.9

138.6

141.9

144.5

146.2

146.7

146.1

144.4

142.1

139.5

136.8

134.4

132.4

131.0

130.3

130.4

131.2

132.9

135.2

138.2

141.7

145.6

149.8

154.1

158.5

162.6

166.3

169.3

171.0

171.4
90 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. 8

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1960 rl

MJD -10 7P 1O7PH -107P A logp, log p9 T,

(km) (deg.) (deg.) (deg.)

3724-6.0

47.0

4,8.0

37249.0

49.5

50.0

50.5

37251.00

51.25

51.50

51.75

52.00

52.25

52.50

52.75

53.00

53.25

53.50

53.75

54.00

54.25

54.5 0

54.75

37255.0

55.5

56.0

56.5

57.0

57.5

56.0

58.5

59.0

59.5

60.0

60.5

61.0

61.5

37262.0

63.0

64.0

65.0

66.0

67.0

68.0

69.0

70.0

71.0

37272.0

74.0

76.0

78.0

80.0

82.0

84.0

86.0

5.02

5.21

5.21

6.49

6.62

7.60

9.80

11.82

14.89

21.62

28.36

21.01

6.31

3.86

2.02

2.02

3.25

1.41

8.76

11.21

16.72

11.21

6.92

5.08

4.35

4.04

3.55

3.06

3.55

4.04

4.04

4.78

6.25

6.00

4.29

3.31

3.55

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.02

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.01

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

3.68

3.54

3.80

3.31

3.19

3.25 -(

3.80

5.15

6.19

0.00

0.00

0.01

0.01

0.01

0.01

0.01

0.01

0.01

5.02 -0.01

5.08

5.78

7.29

5.99

5.52

5.56

5.61

5.00

-0.01

-0.01

-0.01

-0.01

-0.01

0.00

0.00

0.Q0

5.0

5.2

5.2

6.5

6.6

7.6

9.8

11.8

14.9

21.6

28.4

21.0

6.3

3.9

2.0

2.0

3.3

1.4

8.8

11.2

16.7

11.2

6.9

5.1

4.4

4.0

3.6

3.1

3.6

4.0

4.0

4.8

6.2

6.0

4.3

3.3

3.6

3.7

3.5

3.8

3.3

3.2

3.2

3.8

5.1

6.2

5.0

5. 1

5.8

7.3

6.0

5.5

5.6

5.6

5.0

•14.'^4

.62

.62

•14.53

.52

.46

.35

•14.27

.17

.01

•13.89

•14.02

.54

.75

•15.04

.04

•14.82

•15.20

14.40

.29

.12

.29

.50

14.63

.70

.74

.79

.85

.79

.74

.74

.66

.55

.56

.71

.82

.79

-14.77

.80

.76

.82

.83

.83

.76

.63

.54

.64

-14.63

.57

.47

.55

.59

.58

.58

.64

14.65

.63

.63

•14.53

.52

.46

.35

14.27

.17

.01

•13.89

•14.02

.54

.75

•15.04

.04

14.82

15.19

•14.40

.29

.12

.29

.50

•14.63

.70

.74

.78

.85

.79

.74

.74

.66

.55

.57

.71

.83

.79

-14.78

.81

.77

.84

.85

.85

.78

.66

.57

.67

-14.66

.61

.51

.60

.64

.64

.64

.69

1042

105 3

1054

1117

1122

1167

1261

1342

1465

1727

1999

1704

1109

989

874

874

954

831

1220

1319

1536

1319

1136

1051

1014

99 3

971

942

970

992

992

1034

1101

1091

1006

951

96 8

973

961

977

948

942

940

97 2

1037

108 7

1030

1033

1064

1127

1068

1044

1048

1047

1019

424.7

425.0

425.3

425.5

425.7

425.8

425.9

425.9

426.0

426.0

426.0

426.1

426.1

426.1

426.2

426.2

426.2

426.2

426.2

426.2

426.2

426.2

426.2

426.2

426.2

426.2

426.2

426.1

426.1

426.0

425.9

425.8

425.7

425.6

425.5

425.4

425.2

425.1

424.8

424.4

424.1

423.7

423.3

422.8

422.4

422.0

421.6

421.1

420.4

419.7

419.1

418.8

418.6

418.7

418.9

191 .8

191.0

190.2

189.7

189.4

189.2

189.0

188.9

188.8

188.8

150.8

150.2

149.7

149.2

148.9

148.7

148.5

188.7

188.7

188.6

188.6

188.5

168.5

188.5

188.4

188.4

188.4

188.4

188. 4

188.3

188,

188.

188.2

188.2

188.1

188.0

188.0

187.8

187.7

187.5

187.3

187.1

166.8

186.6

186.2

185.5

184.6

183.5

182.3

181.0

179.5

177.9

176.1

174.3

172.3

168.2

163.6

158.9

153.9

148. 7

143.5

138.2

148.4

148.3

148.3

148.2

148.2

148.1

148.1

148.1

148. I

148.0

148. I

148.1

148.1

148. I

148.2

148.2

148.3

148.4

148.6

148.8

149.1

149.4

149.7

150.1

150.5

151.0

151.5

152.0

152.6

153.2

153.8

155.2

156.7

158.3

160.0

161.7

163.5

165.2

166.7

167.9

168.7

168.2

164.9

160.0

154.2

147.9

141.3

134.6

148.6

147.5

146.6

145.8

145.5

145.2

145.0

144.8

144.7

144.6

144.6

144.5

144.4

144.4

144.4

144.4

144.3

144.3

144.3

144.4

144.4

144.4

144.4

144.5

144.6

144.7

144.9

145.1

145.3

145.6

145.8

146.1

146.4

146.6

146.9

147.2

147.5

147.8

148.3

148.8

149.1

149.3

149.3

149.0

148.5

147.8

145.7

145.4

141.9

137.6

132.4

126.8

120.7

114.3

107.7
NO. l DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 9 1

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1960

MJD

37288.0

90.0

92.0

94.0

96.0

98.0

37300.0

02.0

04.0

06.0

08.0

10.0

12.0

14.0

16.0

18.0

20.0

22.0

24.0

26.0

28.0

30.0

32.0

34.0

36.0

38.0

40.0

42.0

44.0

46.0

48.0

50.0

52.0

54.0

56.0

58.0

60.0

62.0

64.0

66.0

68.0

70.0

72.0

74.0

76.0

78.0

80.0

82.0

84.0

86.0

88.0

90.0

92.0

94.0

96.0

98.0

37400.0

02.0

04.0

06.0

37408.0

10.0

12.0

14.0

-107P

3.98

3.09

2.33

3.30

4.36

4.91

5.42

6.34

6.61

6.49

6.48

5.08

4.16

3.84

3.49

3.65

3.73

3.77

4.2 2

4.66

5.03

5.09

5.62

7.58

7.39

6.42

6.02

5.39

5.81

6.43

6.82

6.60

6.45

6.49

6.66

6.64

6.51

6.03

5.5L

5.17

4.38

4.32

4.03

3.95

4.15

4.44

4.58

5.06

5.40

5.97

3.01

6.04

5.63

4.39

4.06

3.87

3.38

3.66

3.73

3.44

3.27

3.08

3.36

3.52

10'P,

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

-0.02

-0.03

-0.04

-0.05

-0.05

-0.06

-0.06

-0.06

-0.06

-0.06

-0.05

-0.05

-0.05

-0.04

-0.04

-0.04

-0.04

-0.04

-0.03

-O.Q3

-0.03

-0.03

-0.03

-0.03

-0.63

-0.03

-0.02

-0.02

-0.03

-0.03

-0.02

-0.01

-0.01

-0.01

0.00

0.00

0.00

0.00

0.00

0.01

0.02

0.03

0.04

0.04

0.03

0.04

0.04

0.04

0.03

0.03

0.03

0.03

0.03

0.02

0.00

-107PA

4 . 0

3 . 1

2 . 3

3 . 3

4 . 4

4 . 9

5 . 4

6 . 3

6 . 6

6 . 5

6 . 4

5 . 0

4 . 1

3 . 8

3 . 4

3 . 6

3 . 7

3 . 7

4 . 2

4 . 6

5 . 0

5 . 0

5 . 6

7 . 5

7 . 4

6 . 4

6 . 0

5 . 4

5 . 8

6 . 4

6 . 8

6 . 6

6 . 4

6 . 5

6 . 6

6 . 6

6 . 5

6 . 0

5 . 5

5 . 2

4 . 9

4 . 3

4 . 0

4 . 0

4 . 2

4 . 4

4 . 6

5 . 1

5 . 4

6 . 0

6 . 0

6 . 1

5 . 7

4 . 4

4 . 1

3 . 9

3 . 4

3 . 7

3 . 8

3 . 5

3.3

3 . 1

3 . 4

3 . 5

log P.

-14.74

. 8 5

. 9 9

. 8 4

. 7 2

. 6 8

. 6 4

. 5 8

. 5 7

. 5 8

. 5 9

. 7 0

. 7 9

. 8 2

. 8 7

. 8 5

. 8 3

. 8 3

. 7 7

. 7 3

. 6 9

. 6 8

. 6 3

. 5 0

. 5 1

. 5 7

. 5 9

. 6 4

. 6 0

. 5 6

. 5 3

. 5 4

. 5 6

. 5 5

. 5 4

. 5 4

. 5 5

. 5 9

. 6 2

. 6 5

. 6 8

. 7 3

. 7 7

. 7 7

. 7 5

. 7 4

. 7 2

. 6 8

. 6 6

. 6 2

. 6 2

. 6 1

. 6 4

. 7 5

. 7 8

. 8 0

. 8 5

. 8 1

. 8 0

. 8 3

-14.85

. 8 7

. 8 2

. 8 1

log p.

-14.78

. 8 9

-15.02

-14.86

. 7 3

. 6 8

. 6 4

. 5 7

. 5 4

. 5 4

.55

. 6 5

.73

.76

. 8 1

.78

. 7 6

. 7 6

. 7 1

.67

. 6 4

.64

. 6 0

. 4 8

. 4 9

. 5 6

. 6 0

. 6 5

. 6 3

. 5 9

.57

. 5 9

. 6 0

. 6 0

. 5 9

. 5 9

. 6 0

. 6 3

. 6 7

. 6 9

. 7 1

. 7 6

.79

.79

. 7 7

.75

.73

. 6 9

. 6 7

.6?

.6"*

. 6 3

. 6 6

. 7 7

. 8 1

. 8 3

. 8 9

. 8 5

. 8 4

. 8 8

-14.90

.92

.88

. 6 6

T,

(°K)

9 7 1

9 2 4

8 8 0

9 3 7

9 9 6

IO?2

1048

1092

1109

1107

1105

1041

9 9 7

9 8 2

9 6 1

9 7 4

9 8 1

9 8 1

1009

1029

1048

1046

1072

1154

1144

1095

1072

1040

1055

1077

1091

1080

1069

1072

1075

1075

1072

1052

1032

1020

1008

9 8 1

9 6 8

9 6 9

9 7 9

9 8 9

9 9 8

1020

1031

1055

1053

1055

1036

9 7 6

9 6 1

9 5 0

9 2 6

9 4 0

9 4 6

9 3 1

9 7 2

9 1 3

9 3 0

9 3 7

z

(km)

419.5

420.2

421.2

422.4

423.8

425.3

426.9

428.5

430.1

431.7

433.J

434.4

435.5

436.4

437.0

437.3

437.3

437.0

436.5

435.6

434.5

433.2

431.8

430.2

428.5

426.9

425.1

423.6

422.1

420.8

419.7

418.8

418.2

417.8

417.6

417.7

416.0

418.4

419.1

• 19.8

420.6

421.4

422.2

423.0

423.6

424.2

424.6

424.8

424.9

424.7

424.4

424.0

423.4

422.7

421.9

421.1

420.3

419.5

418.9

418.3

417.9

417.8

417.8

418.1

a,-oo

(deg.)

132.8

127.5

122.2

117.0

112.0

107.1

102.6

98.3

94.4

91.0

R8.1

85.7

84.0

82.3

82.2

81.9

61.8

81.6

81.1

80. 1

78. 7

76.6

74-. 0

70.$

67.3

63.3

59.0

54.5

49.8

44.9

39.9

34.9

29.8

24.8

19.8

15.0

10.2

5 . 7

1 . 5

357.5

353.9

350.8

348.1

346.0

344.5

343.5

343.0

343.0

.343.0

343.0

342.8

342.1

340.9

339.1

336.7

333.8

330.5

326.7

322.6

318.2

313.6

308.8

303.9

299.0

(deg.)

127.7

120.9

114.3

107.8

101.6

95.7

90.2

85.3

81.0

77.3

74.4

72.2

70.6

69.8

69.4

69.4

69.6

69.9

70.0

70.0

69.5

68.6

67.2

65.2

62.7

59.6

56.2

52.3

48.2

43.9

39.6

35.6

32.0

29.1

27.3

26.8

27.7

29.6

32.3

35.4

38.6

41.6

44.5

46.8

48.7

50.0

50.6

50.7

50.0

48.8

47.1

45.1

42.8

40.5

38.5

37.0

36.4

36.9

38.6

41.4

45.3

50.0

55.3

61.0

(deg.)

101.1

94.4

88.0

81.7

75.7

70.1

65.1

60.6

56.9

54.0

51.9

50.5

49.9

49.7

49.9

50.2

50.5

50.6

50.2

49.5

48.2

46.3

43.9

40.9

37.3

33.3

28.9

24.1

19.3

14.6

10.8

9 . 6

11.8

16.2

21.5

26.9

32.3

37.5

42.5

47.0

51.1

54.7

57.6

59.9

61.6

62.6

63.0

62.8

62.2

61.3

60.2

59.1

58.2

57.6

57.7

58.4

60.0

62.4

65.5

69.5

74.0

79.0

84.5

90.2
92 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. g

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1961 «1

MJD -10'P 107PR -107PA log p. logp, T.

(km) (deg.) (deg.) (deg.)

37349.0

50.0

51.0

52.0

53.0

54.0

55.0

5"6.0

57.0

58.0

59.0

37360.0

60.5

61.0

61.5

62.0

62.5

63.0

63.5

64.0

64.5

65.0

65.5

66.0

66.5

67.0

67.5

68.0

68.5

69.0

69.5

70.0

70.5

37371.0

72.0

73.0

74.0

75.0

76.0

77.0

78.0

79.0

80.0

81.0

82.0

83.0

84.0

85.0

86.0

87.0

88.0

89.0

90.0

91.0

92.0

93.0

94.0

95.0

3.0

2.8

3.1

3.4

3. 1

3.3

2.8

3.1

3.8

5.1

6.4

4.9

3.5

3.2

3.1

2.9

2.4

3.0

3.9

6.4

7.3

9.0

5.5

2.6

2.4

2.5

2.8

3.1

7.8

9.7

2.8

2.3

1.8

1.9

1.6

2.3

2.5

2.3

2.0

2.5

3.8

4.5

5.0

5 . 1

6.0

5.7

6.0

8.9

12.3

12.1

11.0

10.6

10.6

10.3

9.3

7.2

5.2

4.2

II.0

1 1.0

10.9

10.8

10.7

10.6

10.5

10.3

10.1

9.9

9.6

9.4

9.3

9.2

9.0

8.9

8.9

8.7

8.6

8.5

8.4

8.3

8.3

8.2

8.1

8.G

7.9

7.8

7.8

7.b

7.8

7.8

7.8

7.9

8.0

8.1

8.2

8.4

8.5

8.7

8.9

9.0

9.2

9.4

9.5

9.6

9.7

9.7

9.7

9.7

9.6

9.5

9.4

9.3

9.2

9.0

8.8

14.0

13.8

14.0

14.2

13.8

13.9

13.3

13.4

13.9

15.0

16.0

14.3

12.8

12.4

12.1

11.8

11.2

11.7

12.5

14.9

15.7

17.3

13.8

10.8

10.5

10.5

10.7

10.9

15.6

17.5

10.6

10.1

9.6

9.7

9.5

10.3

10.6

10.5

10.4

11.0

12.5

13.4

14.0

14.3

15.4

15.2

15.6

18.6

22.0

21.8

20.7

20.2

20.1

19.7

18.6

16.4

14.2

13.0

•16.53

.54

.53

.52

.53

.53

.54

.54

.52

.48

.45

•16.50

.55

.56

.57

.58

.60

.58

.55

.48

.45

.41

.51

.62

.63

.63

.62

.62

.46

.4 1

.63

.65

.68

-16.67

.69

.65

.64

.65

.66

.64

.59

.56

.54

.53

.50

.51

.50

.42

.34

.35

.37

.38

.37

.38

.40

.45

.51

.55

16.62

.62

.61

.60

.61

.60

.61

.60

•

 r>8

. 5 4

.51

16.56

.60

.61

.62

.63

.65

.63

.60

.52

.45

.55

.65

.66

.66

.65

.64

.48

.43

.64

.66

.68

•16.68

.68

.64

.63

.63

.63

.60

.54

.51

.49

.48

.44

.44

.43

.35

.28

.28

.30

.31

.31

.31

.34

.39

.53

.57

92 0

919

922

92 5

923

925

921

924

929

940

949

937

924

921

919

916

911

917

925

947

954

968

9 39

911

908

909

912

914

959

97 4

913

90 8

903

904

903

913

918

917

917

924

94 0

950

956

960

970

969

973

999

1024

1024

1017

1014

1014

1012

1004

987

980

968

641.0

641.7

642.2

642.8

643.2

643.6

644. 1

644.5

644.9

645.4

646.0

646.6

647.0

647.3

647.7

648. 1

648.6

649.0

649.5

650. I

650.6

651.2

651.8

652.4

653.0

653.7

654.4

655. I

655.8

656.5

657.3

658.0

658.8

659.6

661.2

662.8

664.3

665.8

667.3

668.7

670.0

671.2

672.3

673.2

674.0

674.7

675.3

675.7

676.0

6 76.2

676.3

6 76.3

676.2

676.1

6 75.9

675.8

675.6

675.4

3 06.5

307.4

308.1

308.6

308.9

309.0

309.0

308.7

308.3

307.8

307.2

306.5

306.1

305.7

305.3

304.9

3C4.5

304.0

303.6

303.2

302.8

302.4

301.9

301.5

301.2

3C0.8

300.4

300.1

299.8

2 99 . 5

299.3

299.1

2 98.9

298.8

298.6

298.6

298.8

299.2

299.8

300.6

301.7

302.9

304.3

305.8

307.4

309.0

310.5

312.0

313.3

314. 5

315.4

316.2

316.7

317.1

317.2

317.1

316.9

316.6

69. 1

67.4

65.8

64.?

62.6

61.2

59.9

58. 7

57.8

57.0

56.4

56.1

56.0

56.0

56.0

56. 1

56.2

56.4

56.6

56.8

57.1

57.4

57.8

58.1

58.5

58.9

59.3

59.7

60.2

60.6

61.0

61.4

6 1 . 8

62.2

62.9

63.5

64.0

64.4

64.6

64.7

64.6

64.4

64.0

63.4

62.7

61.8

60.9

59.8

58.7

57.5

56.3

55.0

53.9

52.7

51.7

50.7

49.9

49.2

91.5

90.2

89.1

88.0

87. I

86.3

85.7

85.2

84.9

84.8

84.8

85.0

85.1

85.3

85.4

85.7

85.9

86.1

H6.4

86.7

86.9

87.2

87.5

87.8

88.1

83.4

88.6

88.9

89.1

89.4

89.6

89.7

89.9

90.0

90.2

90.2

90.1

89.9

89.5

89.0

88.4

87.7

86.9

86.0

85.0

84.0

83.0

82.0

81.1

80.2

79.3

78.5

77.9

77.3

76.9

76.6

76.4

76.4
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 9 3

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1961 51

MJD -107

P 107P» -107P A log P. log P. T.

(deg.) (deg.) (deg.)

37396.0

97.0

98.0

99.0

37400.0

01.0

02.0

03.0

04.0

05.0

06.0

07.0

08.0

09.0

10.0

11.0

12.0

13.0

14.0

15.0

16.0

17.0

18.Q

19.0

20.0

21.0

22.0

23.0

24.0

25.0

26.0

27.0

23.0

29.0

30.0

31.0

32.0

33.0

34.0

35.0

36.0

37.0

38.0

39.0

40.0

41.0

42.0

43.0

44.0

45.0

46.0

47.0

48.0

49.0

50.0

51.0

52.0

53.0

54.0

55.0

4 . 4

3 . 9

4 . 0

3 . 3

3 . 1

2 . 4

0 . 7

2 . 8

7 . 9

6 . 0

2 . 5

3 . 1

7 . 1

2 . 1

3 . 1

3 . 6

4 . 1

3 .8

5 . 6

5 . 6

6 . 6

5 . 9

5 . 5

5 . 4

4 . 4

4 . 2

4 . 2

3 . 0

2 . 9

4 . 8

5 . 7

2 . 8

0 . 9

0 . 1

1 . 8

2 . 9

4 . 1

4 . 1

4 . 5

4 . 3

3 . 2

4 . 1

5 . 9

7 . 4

8 . 4

9 . 6

11. 1

12.6

11.7

11.0

10.2

9 . 1

8 . 1

8 . 6

9 . 5

9 . 7

9 . 3

8 . 7

7 . 3

7 . 4

8 . 7

8.5

8 .3

8 .2

8 . 0

7 . 9

7 .7

7 . 6

7 . 5

7 . 5

7.5

7.5-

7 . 5

7.5

7 . 5

7 . 6

7 . 6

7 . 7

7 . 7

7 . 8

7 .8

7 . 9

7 . 9

7 . 9

7 . 8

7 . 8

7 . 7

7 . 6

7 . 4

7 . 2

7 . 0

6 . 7

6 . 4

6 . 1

5 . 8

5 . 5

5 . 2

4 . 8

4 . 4

4 . 1

3 . 7

3 . 2

2 . 7

2 . 0

1 . 3

0 . 8

0 . 4

0 . 1

-0.2

-0.3

-0.4

-0.4

-0.4

-0.3

-0.3

-0.3

-0.2

-0. 1

0 . 1

0.5

13. 1

12.4

12.3

11.5

11.I

10.3

8 . 4

10.4

15.4

13.5

10. 0

10.6

9 . 6

9 . 6

10.6

11. 2

11. 7

11.5

13.3

13.4

14.4

13.8

13.4

13.3

12.2

12.0

11.9

10.6

10.3

12.0

12.7

9 . 5

7 . 3

6 . 2

7 . 6

8 . 4

9 . 3

8 . 9

8 . 9

8 . 4

6 . 9

7 . 3

8 . 6

9 . 4

9 . 7

10.4

11.5

12.7

11.5

10.7

9 . 8

8 . 7

7 . 7

8 . 3

9 . 2

9 . 4

9 . 1

8 . 6

7 . 4

7 . 9

-16.54

. 5 7

. 5 7

. 6 0

. 6 1

. 6 4

. 7 3

. 6 4

. 4 7

. 5 3

. 6 6

. 6 3

. 6 8

. 6 8

. 6 4

. 6 2

. 6 0

. 6 1

. 5 5

. 5 4

. 5 1

. 5 3

. 5 4

. 5 5

. 5 8

. 5 9

. 5 9

. 6 4

. 6 4

. 5 7

. 5 5

. 6 7

. 7 8

. 8 5

. 7 5

. 7 1

. 6 6

. 6 8

. 6 8

. 7 0

. 7 8

. 7 6

. 6 9

. 6 5

. 6 4

. 6 1

. 5 7

. 5 3

. 5 7

. 6 1

. 6 5

. 7 0

. 7 6

. 7 3

. 6 9

. 6 9

. 7 1

. 7 4

. 8 1

. 7 9

-16.56

. 5 9

. 5 9

. 6 2

. 6 3

. 6 6

. 7 5

. 6 6

. 4 8

. 5 4

. 6 7

. 6 4

. 6 8

. 6 8

. 6 4

. 6 1

. 5 9

. 5 9

. 5 3

.52

. 4 9

. 5 0

. 5 1

. 5 1

. 5 4

. 5 4

. 5 4

. 5 9

. 6 0

. 5 3

. 5 0

. 6 2

. 7 3

. 8 0

. 7 1

. 74

. 6 9

. 7 1

. 7 1

. 7 3

. 8 1

. 7 9

. 7 1

. 6 7

. 6 6

. 6 3

. 5 8

. 5 4

. 5 8

. 6 1

. 6 4

. 6 9

. 7 5

. 7 1

. 6 7

. 6 6

. 6 7

.70

. 7 7

. 7 4

9 70

9 6 3

96 2

9 5 4

9 5 0

9 4 1

9 1 7

9 4 3

9 9 5

9 7 7

9 3 9

9 * 7

9 3 5

9 3 6

94 8

9 5 6

9 6 2

9 6 1

9 8 1

9 8 3

9 9 4

9 9 0

9 8 7

9 8 7

9 7 7

9 7 6

9 7 6

9 6 2

9 6 0

9 8 2

9 9 1

9 5 3

9 2 2

9 0 4

9 2 9

9 5 3

9 6 7

9 6 2

96 2

9 5 6

9 3 2

9 3 9

96 0

9 7 2

9 7 7

9 8 7

1001

1016

1002

9 9 3

9 ^ 1

9 6 6

9 5 0

9 6 0

9 7 4

9 7 7

9 7 2

9 6 4

9 4 5

9 5 3

675.2

675.0

674.8

674.8

674.8

674.9

675.2

675.5

676.0

676.6

677.2

678.0

678.9

679.8

680.8

681.9

683.0

684.0

685.1

686.1

6 87.1

688.0

688.9

689.6

690. 3

690.9

691.4

691.3

692.1

692.4

692.5

692.6

692.7

692.7

692.6

692.5

692.4

692.4

692.5

692.7

692.9

693.2

693.7

694.2

694.9

695.7

696.6

697.6

698.6

699.8

701.0

702.2

703.5

704.8

706.0

707.2

708.4

709.5

710.5

711.4

316.0

315.4

314.8

314.0

313.2

312.3

311.5

310.7

309.9

309.2

300.5

307.9

307.5

307.2

307.0

307.1

307.3

307.7

308.3

309.2

310.2

311.4

312.8

314.2

315.7

317.2

318.6

320.0

321.2

322.2

323.0

323.7

324.1

324.3

324.3

324.2

323.8

323.3

322.7

322.0

321.2

320.4

319.5

318.6

317.7

316.8

315.9

315.1

314.4

313.8

313.3

313.0

312.8

312.8

313.0

313.4

314.0

314.9

31S.9

317.1

48.7

48.3

48.1

48.0

48.1

48.3

48.6

49.0

49.4

49.0

50.4

50.8

51.2

51.5

51.6

51.7

51.6

51.4

51.0

50.5

49.8

48.9

47.9

46.8

45.6

44.2

42.8

41.4

39.9

38.5

37.2

36.0

35.1

34.4

33.9

33.8

34.2

34.8

35.9

37.2

38.9

40.8

42.9

45.2

47.6

50.0

52.4

54.8

57.2

59.5

61.7

63.7

65.6

67.2

68.7

70.0

70.9

71.7

72.2

72.4

76.4

76.6

76.8

77.1

77.5

77.9

78.2

78.6

78.9

79.2

79.3

79.4

79.3

79.1

78.8

78.3

77.7

76.9

76.0

75.0

73.8

72.6

71.3

69.9

68.6

67.2

65.9

64.7

63.6

62.7

61.9

61.3

61.0

60.9

61.0

61.4

62.1

63.0

64.2

65.6

67.1

68.8

70.7

72. 6

74.6

76.6

78.5

80.4

82.3

84.0

85.6

87.1

88.4

89.4

90.3

90.9

91.3

91.4

91.3

91.0
94 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. I

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1961 81

MJD -107P 1O'PR -107P A log p. log p. T,

(km) (deg.) (deg.) (deg.)

37456.0

57.0

58.0

59.0

60.0

61.0

62.0

63.0

64.0

65.0

66.0

67.0

68.0

69.0

70.0

71.0

72.0

73.0

74.0

75.0

76.0

77.0

78.0

79.0

80.0

81.0

82.0

83.0

8 4.0

85.0

86.0

87.0

88.0

89.0

90.0

91.0

92.0

37493.0

93.5

94.0

94.5

95.0

95.5

96.0

96.5

97.0

97.5

98.0

98.5

99.0

99.5

37500.0

00.5

37501.0

02.0

03.0

04.0

8.4

7.0

4.6

2.8

1.4

0.4

-0.3

-0.3

-0.3

0.3

1.3

1.6

1.8

3.0

3.8

7.0

5.1

4.9

2.6

1.2

0.6

-0.1

-0.2

-0.5

-l. l

-1.4

-1.4

-1.2

-0.8

-0.7

-0.3

0.1

0.4

0.2

0.3

0.5

2.4

2.6

4.7

7.0

7.7

11.I

9.7

6.8

5.5

4.9

5.1

8.0

9.9

12.0

7.9

6.3

5.9

6.2

5.8

5.6

4.8

1.3

2.1

3.2

4.4

5.6

6.7

7.5

8.0

8.3

8.5

8.6

8.7

8.7

8.7

8.6

8.4

8.3

8.2

8.0

7.9

7.7

7.5

7.3

7.2

7.0

6.9

6.8

6.7

6.6

6.5

6.4

6.3

6.3

6.2

6.2

6.1

6.1

6.1

6.1

6.0

6.0

6.0

5.9

5.9

5.9

5.8

5.8

5.7

5.7

5.6

5.5

5.4

5.4

5.3

5.1

4.9

4.7

9.7

9. I

7.8

7.2

7.0

7.1

7.2

7.7

8.0

8.8

9.9

10.3

10.5

11.7

12.4

15.4

13.4

13.1

10.6

9.1

8.3

7.4

7.1

6.7

5.9

5.5

5.4

5.5

5.8

5.8

6.1

6.4

6.7

6.4

6.5

6.6

8.5

8.7

10.8

13.0

13.7

17.1

15.6

12.7

11.4

10.7

10.9

13.7

15.6

17.6

13.4

11.7

11.3

11.5

10.9

10.5

9.5

-16.70

.73

.80

.84

.86

.85

.85

.82

.80

.76

.70

.68

.67

.62

.59

.49

.55

.56

.65

• 71

.75

.80

.81

.84

.89

.92

.93

.92

.90

.90

.88

.86

.84

.86

.85

.84

.73

-16.72

.63

.55

.52

.43

.47

. 55

.60

.63

.62

.52

.46

• 41

.52

.58

.59

16.59

.61

.62

.66

-16.65

.68

.75

.78

.80

. 7 9

.70

.84

.02

.78

.73

.71

.70

.65

.62

.52

.58

.59

.68

.74

.78

.82

.84

.86

.91

.94

.95

.93

.91

.90

.88

.85

.83

.85

.84

.83

.72

-16.70

.61

.52

.50

.40

.44

.53

.57

.60

.59

.49

.43

.38

.50

.55

.57

16.56

.58

.59

.63

979

970

950

93 9

935

937

938

956

96 1

974

990

996

999

1016

1025

1058

1038

1036

1006

986

974

96 0

956

949

934

926

924

92 8

935

936

944

951

95 8

953

956

959

994

998

1030

1058

1067

1104

1089

1057

1041

1032

1035

1071

1092

1113

1069

104-8

1043

1046

1039

103 5

1021

712.1

712.8

713.3

713.8

714.0

714.2

714.3

714.3

714.2

714.0

713. 7

713. 4

713. 1

712.9

712.6

712.4

712.2

712.1

712.1

712.2

712.4

712.7

713.1

713. 6

714.2

714.9

715.7

716.6

717.5

718.4

719.4

720. 3

721.3

722.2

723. 1

723.9

724.6

725.3

725.6

725.8

726.1

726.3

726.5

7 26.7

726.8

726.9

727.0

727.1

727.2

727.2

727.2

7P7.2

727.2

727.2

727.2

727.1

727.0

318.4

319.9

321.3

3?2.8

324.2

325.5

326.6

327.5

328.3

328.8

3?9.l

329.2

329.1

328.8

328.4

32 7.8

327.2

326.4

325.5

324.6

323.7

322.7

321 .8

320.8

320.0

319.2

318.5

317.8

317.4

317.0

316.9

316.9

317. 2

317.6

318.2

319.1

320.2

321.4

322.0

32?. 7

323.4

324.2

324.9

325.6

326.3

327.0

327.8

328.4

329.1

329.7

330.2

330.8

331.2

331.7

332.4

332.9

333.2

72.3

72.0

71.5

70.7

69. 7

68.5

67. 1

65.6

63.9

62.1

60. 3

5B.4

56.4

54.5

52.6

50.8

49.1

47.5

46.0

44.6

43.5

42.5

41. 6

41.0

40.4

40.0

39.8

39.6

39.4

39.3

39.2

39. I

38.9

38.7

38.4

37.9

37.4

36.7

36.4

36.0

35.6

35.1

34.6

34. 1

33.6

33.1

32.5

32.0

31.4

30.8

30.2

29.6

29.1

28.5

27.5

26.6

25.9

90.5

89.8

89.0

87.9

86.8

85.5

84.2

82.8

81.4

80.0

78.6

77.3

76.0

74.8

73.7

72.7

71.8

71.0

70.3

69.7

69.2

68.8

68.4

68.1

67.8

67.6

67.3

67.0

66.6

66.2

65.8

65.2

64.6

63.9

63.1

62.2

61.3

60.3

59.8

59.2

58.7

58.2

57.7

57.1

56.6

56.1

55.6

55.1

54.7

54.2

53.8

53.5

53.1

52.8

52.4

52.1

52.0
NO. i DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 9 5

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1961 61

MJD -10 TP 107P» -107P A logp, log p. T.

(kni)

a,-a0 +0

(deg.) (deg.)

(deg.)

37505.0

05.5

06.0

06.5

07.0

07.5

08.0

08.5

09.0

09.5

37510.0

11.0

12.0

13.0

14.0

15.0

16.0

17.0

18.0

19.0

20.0

21.0

22.0

23.0

24.0

25.0

26.0

27.0

28.0

29.0

30.0

31.0

32.0

33.0

34.0

35.0

36.0

37.0

38.0

39.0

40.0

41.0

42.0

43.0

44.0

45.0

46.0

47.0

48.0

49.0

50.0

51.0

52.0

53.0

54.0

55.0

56.0

57.0

58.0

6.1

6.2

2.8

3.4

7.8

15.7

11.1

3.6

2.3

2.9

2.4

2.2

2.7

2.8

4.6

5.1

4.3

3.8

4.5

5.7

6.9

9.7

10.5

11.2

9.5

10.3

11.0

10.7

10.3

10.2

10.0

9.2

8.3

5.8

3.2

2.2

1.4

l.l

0.9

0.9

1.4

1.6

1.5

1.9

1.5

0.7

1.1

1.5

1.9

2.6

3.8

5.1

5.7

6.0

7.1

7.5

7.8

7.5

7.4

4.5

4.4

4.2

4. I

4.0

3.9

3.7

3.6

3.5

3.3

3.2

3.0

2.7

2.5

2.2

2.0

1.7

1.4

1.2

0.8

0.5

0.3

0.1

-0.1

-0.2

-0.2

-0.3

-0.2

-0.1

0.1

0.5

1.0

1.8

2.7

3.6

4.4

5.1

5.5

5.8

6.0

6.1

6.1

6.1

6.0

5.9

5.7

5.5

5.3

5.0

4.8

4.5

4.3

4.0

3.7

3.5

3.3

3.i

2.9

2.7

10.6

10.6

7.0

7.5

11.8

19.6

14.8

7.2

5.8

6.2

5.6

5.2

5.4

5.3

6.8

7.1

6.0

5.2

5.7

6.5

7.4

10.0

10.6

11.1

9.3

10.I

10.7

10.5

10.2

10.3

10.5

10.2

10. I

8.5

6.8

6.6

6.5

6.6

6.7

6.9

7.5

7.7

7.6

7.9

7.4

6.4

6.6

6.8

6.9

7.4

8.3

9.4

9.7

9.7

10.6

10.8

10.9

10.4

10. 1

16.61

.61

.79

.76

.56

.34

.46

.77

.86

.83

•16.88

.91

.89

.90

.79

.77

.85

.91

.88

.82

.77

.64

.62

.60

.68

.65

.63

.64

.66

.66

.66

.67

.68

.76

.85

.87

.87

.87

.86

.84

.80

.79

.79

.77

.79

.85

.83

.82

.81

.77

.72

.67

.65

.65

.61

.60

.60

.62

.63

•16.66

.66

.83

.80

.6 1

.38

.51

.82

.91

.88

16.93

.96

.94

.95

.84

.82

.89

.95

.91

.85

.79

.66

.64

.62

.69

.66

.63

.64

.65

.65

.64

.65

.66

.73

.83

.84

.85

.84

.83

.82

.78

.76

.77

.75

.77

.83

.82

.80

.80

.76

.71

.66

.64

.64

.60

.59

.59

.60

.62

1050

1050

990

1000

1068

1153

1105

99 5

966

975

962

952

957

955

989

996

973

954

966

984

1003

1047

1056

1064

1037

1049

1058

1055

1051

1052

1055

1051

1049

1023

992

988

9R6

989

991

996

1009

1013

1012

1018

1010

990

995

1000

1003

1013

1031

1050

1055

1056

1070

1073

1075

1068

1064

727.7

727.7

727.6

727.6

727.5

727.5

727.5

727.4

727.4

727.4

727.4

727.5

727.7

727.9

728.3

728.8

729.4

730.1

731.0

731.9

732.9

734.0

735.2

736.4

737.6

738.fi

740.0

741.1

742.2

743.2

744.1

744.9

745.6

746.2

746.6

746.9

747.1

747.1

747.1

747.0

746.7

746.4

746.0

745.6

745.1

744.7

744.2

743.8

743.4

743.1

742.8

742.7

742.6

742.6

742.7

742.9

743.2

743.5

743.9

333.3

333.2

333.2

333.1

332.9

332.8

332.5

332.3

332.0

331.7

331.4

330.6

329.8

329.0

328.1

327.3

326.4

325.6

324.8

324.1

323.5

323.0

322.7

322.5

322.5

322.7

323.1

323.7

324.6

325.6

326.8

328.2

329.7

331.3

332.9

334.5

335.9

337.3

338.4

339.4

340.2

340.7

341.0

341.2

341.1

340.9

340.6

340.1

339.5

338.8

338.1

337.3

336.5

335.7

335.0

334.2

333.5

332.9

332.4

25.4

25.3

25.3

25.3

25.4

25.6

26.0

26.4

26.8

27.4

28.0

29.5

31.3

33.2

35.3

37.4

39.6

41.9

44.1

46.2

4B.3

50.3

52.1

53.7

55.2

56.4

57.4

58.2

58.7

59.0

59.0

58.7

58.2

57.4

56.3

55.1

53.6

51.8

49.9

47.9

45.7

43.4

41.0

38.6

36.2

33.8

31.6

29.5

27.6

26.1

25.0

24.2

24.0

24.3

25.0

26. I

27.4

29.0

30.7

52.2

52.4

52.6

52.9

53.2

53.6

54.1

54.6

55.2

55.8

56.4

57.8

59.4

61.1

62.8

64.6

66.4

68.2

69.9

71.5

73.1

74.4

75.6

76.7

77.5

78.1

78.5

78.6

78.5

78.1

77.6

76.8

75.7

74.6

73.2

71.7

70.1

68.4

66.7

64.9

63.2

61.5

59.8

58.4

57.0

55.8

54.8

54.1

53.6

53.2

53.2

53.3

53.7

54.2

54.8

55.6

56.5

57.4

58.3

677-550 O - 63 - 7
96 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS VOL. g

TABLE 5.—Acceleration, drag, atmospheric densities, atmospheric temperature, and geometric parameters—Continued

Satellite 1961 51

MJD -107P 10'P, -107P A log p. log P. T. z «,-ao *; f'

3 7559.0

60.0

61.0

62.0

63.0

64.0

65.0

66.0

67.0

68.0

69.0

70.0

71.0

72.0

73.0

74.0

7.1

6.9

6.3

5.5

4.3

3.5

4.2

4.3

4.6

4.6

4.3

4.0

3.9

4.2

11.1

10.1

2.5

2.4

2.4

2.3

2.3

2.3

2.4

2.4

2.5

2.6

2.7

2.9

3.1

3.3

3.5

3.7

9.6

9.3

8.7

7.8

6.6

5.8

6.6

6.7

7.1

7.2

7.0

7.0

7.0

7.5

14.6

13.8

-16.66

.67

.70

.75

.83

.88

.83

.83

.80

.80

.81

.82

.82

.79

.50

.52

-16.64

.65

.68

.73

.80

.86

.80

.79

.77

.76

.78

.78

.77

.7*.

.45

.48

(°K)

1056

1051

1041

1025

1001

983

1001

100 3

1011

1013

1009

1009

1010

1020

1126

1117

(km)

744.4

745.0

745.5

746.1

746.7

747.3

747.9

748.5

749. 1

749.6

750.1

750.6

751.1

751.5

752.0

752.6

(deg.)

3 32.0

331.8

331.7

331.8

332.1

332.6

333.3

334.2

335.3

336.6

338.0

3 39.5

341.1

342.6

344.1

345.5

(deg.)

32.5

34.3

36.0

37.6

39.2

40.6

41.8

42.8

43.6

44.2

44.6

44.7

44.6

44.3

43.7

42.9

(deg.)

59.2

60.0

60.8

61.5

62.0

62.4

62.7

62.8

62.7

62.5

62.1

61.5

60.8

60.0

59.0

58.0
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES

TABLE G.—Unsmoothed accelerations dP/dt of Satellite 1958 Alpha

97

MJD MJD Mp MJD

36305.0

05.5

06.0

06.5

07.0

07.5

08.0

08.5

09.0

09.5

10.0

10.5

11.0

11.5

12.0

12.5

13.0

13.5

14.0

14.5

15.0

15.5

16.0

16.5

17.0

17.5

18.0

18.5

19.0

19.5

20.0

20.5

21.0

21.5

22.0

22.5

23.0

23.5

24.0

24.5

5 .0

5.1

5 . 2

5 .0

4 . 6

4 . 7

4 . 5

4.5

5 . 6

6 . 2

6.5

6.1

5.1

5 . 2

5.0

4 .7

5 . 3

5 . 2

5 . 4

4.9

4,5

4 . 0

4 . 5

4 . 8

6.3

7.1

6 . 4

5.1

4 . 6

4.9

5 . 4

6 . 4

6.9

7.7

7 . 2

6 . 5

5 . 2

5 . 2

7 . 2

7.5

36325.0

25.5

26.0

26.5

27.0

27.5

28.0

28.5

29.0

29.5

30.0

30.5

31.0

31.5

32.0

32.5

33.0

33.5

34.0

34.5

35.0

35.5

36.0

36.5

37.0

37.5

38.0

38.5

39.0

39.5

40.0

40.5

41.0

41.5

42.0

42.5

43.0

43.5

44.0

44.5

6.7

6.2

5 . 2

5.0

4 . 7

6.0

7.7

6.4

6 . 2

5 . 6

5.3

6.0

6.0

6.0

6.9

6 . 2

4 . 8

5.1

4 . 8

5 . 2

5.5

5.1

5.1

5 . 0

5.0

5.1

5.1

5.0

4.7

5.1

4 . 4

4.0

3.5

4 . 5

5 . 7

5.4

4 . 7

3.9

3.3

4 . 0

36345.0

45.5

46.0

46.5

47.0

47.5

48.0

48.5

49.0

49.5

36630.5

31.0

31.5

32.0

32.5

33.0

33.5

34.0

34.5

35.0

35.5

36.0

36.5

37.0

37.5

38.0

38.5

39.0

39.5

40.0

40.5

41.0

41.5

42.0

42.5

43.0

43.5

44.0

44.5

5.2

5.3

5.0

4.7

4 . 2

4.8

5 . 4

6.0

5.7

4.8

4.8

4.6

4.6

4 . 4

3.9

4.1

4.4

4.7

5.3

4 . 2

4 . 2

4.1

3 . 8

3.8

4.0

3.6

4.1

4.1

4 . 8

4 . 8

4.8

3 . 7

3.9

4 . 2

3.9

4.9

4.9

4 . 4

4 . 2

36645.0

45.5

46.0

46.5

47.0

47.5

48.0

48.5

49.0

49.5

36668.0

68.5

69.0

69.5

70.0

70.5

71.0

71.5

72.0

72.5

73.0

73.5

74.0

74.5

75.0

75.5

76.0

76.5

77.0

77.5

78.0

78.5

79.0

79.5

80.0

80.5

81.0

81.5

82.0

4.3

4.3

4.5

4 . 6

4 . 3

4.6

4.6

4.9

5.1

5 . 4

6.9

7.0

7.4

6.8

5 . 4

5.4

6.1

6.6

7.1

6.9

5.6

5 . 4

6 . 2

7.1

7 . 4

7.4

6 . 2

6.3

6.3

6.6

6.8

7 . 4

7.4

6.5

5.8

5.6

6.6

7 . 4

8.3
98 SMITHSONIAN CONTRIBUTIONS TO ASTROPHYSICS

TABLE 6.—Unsmoothed accelerations dP/dt of Satellite 1958 Alpha—Continued

MJD -10

6 dP

ar

MJD -10

6 dP

•ai

MJD -10

6 dP

ar

MJD -10

6 dP

ar

36682.5

83.0

83.5

84.0

84.5

85.0

85.5

86.0

86.5

87.0

87.5

88.0

88.5

89.0

36690.0

91.0

92.0

93.0

94.0

95.0

96.0

97.0

98.0

36698.5

99.0

99.5

36700.0

00.5

01.0

01.5

02.0

02.5

03.0

03.5

04.0

04.5

05.0

05.5

7.9

7.9

7.5

6.8

7.3

6.9

7.4

8.1

7.9

7.5

7.5

7.1

7.1

6.6

6.3

5 .5

5.6

6.5

6.0

5.1

5.8

6.3

6.2

6.1

6.3

6.8

6.5

7.2

7.4

7.2

7.2

6 . 7

5.7

6.7

7.8

8.1

7.8

6.4

36706.0

06.5

07.0

07.5

08.0

08.5

09.0

09.5

10.0

10.5

11.0

11.5

36996.5

97.0

97.5

98.0

98.5

99.0

99.5

37000.0

00.5

01.0

01.5

02.0

02.5

03.0

03.5

04.0

04.5

05.0

05.5

06.0

06.5

07.0

07.5

08.0

08.5

09.0

09.5

6 . 4

6.1

7 . 8

7.8

7.5

6 . 3

6 . 8

6.9

8.2

7.0

7.0

6 . 7

5.1

5 . 6

5.8

5.8

5.6

5.2

5 .2

5.0

5.0

5.2

5 .2

5.0

5.2

5 . 5

5.3

4 . 8

4 . 8

4 . 6

4 . 6

4 . 4

5.1

5.3

6 . 3

5.6

5 .2

4 . 3

4 . 3

37010.0

10.5

37191.0

91.5

92.0

92.5

93.0

93.5

94.0

94.5

95.0

95.5

96.0

96.5

97.0

97.5

98.0

98.5

99.0

99.5

37200.0

00.5

01.0

01.5

02.0

02.5

03.0

03.5

04.0

04.5

05.0

05.5

06.0

06.5

07.0

07.5

08.0

08.5

09.0

4 . 8

4 . 5

3.8

4 . 0

4 . 5

4 . 3

4 . 3

4 . 1

3.9

4 . 2

3 . 7

4 . 4

4 . 4

5.4

5.6

5.2

3.4

3.2

2.8

3.4

4 . 1

4 . 6

4 . 4

4 . 2

3.1

3.1

2.9

3.6

3.1

3.8

3.6

3.4

2.3

3.0

3.2

3.5

3.9

4 . 0

3.7

37209. 5

10.0

10.5

11.0

11.5

12.0

12.5

13.0

37216.5

17.0

17.5

18.0

18.5

19.0

19.5

20.0

20.5

21.0

21.5

22.0

22.5

23.0

23.5

24.0

24.5

25.0

25.5

26.0

26.5

27.0

27.5

28.0

28.5

29.0

29.5

30.0

30.5

31.0

31.5

3.5

2.2

1.8

3.1

4 . 0

4 . 5

3.4

3.0

3.7

3.8

4 . 2

4 . 0

4 . 7

4 . 4

4 . 7

5 . 2

5.0

5.0

5.0

5.5

5.3

5.1

5.1

4.9

4.9

4.9

6.3

7.0

5.2

2.5

3 . 2

6.2

5.0

4 . 4

2.9

3.8

4 . 3

3.6

4 . 1
DRAG DETERMINATIONS FOR ARTIFICIAL SATELLITES 9 9

TABLE 6.—Unsmoothed accelerations dP/dt of Satellite 1958 Alpha—Continued

MJD -10"^ MJD -10 =• MJD -10°— MJD -10° —

dt dt dt dt

37242.5 5.6 37358.5

43.0 5.6 59.0

43.5 4.5 59.5

44.0 5.0 60.0

44.5 4.8 60.5

45.0 5.0 61.0

45.5 6.2 61.5

46.0 6.2 62.0

46.5 5.8 62.5

47.0 5.3 63.0

47.5 5.8 63.5

48.0 5.8 64.0

48.5 6.3 64.5

49.0 6.1 65.0

49.5 6.1 65.5

66.0

37356.0 1.5 66.5

56.5 1.6 67.0

57.0 1.4 67.5

57.5 1.4 68.0

58.0 1.6 68.5

37232.0

32.5

33.0

33.5

34.0

34.5

35.0

35.5

36.0

36.5

37.0

37.5

38.0

38.5

39.0

39.5

40.0

40.5

41.0

41.5

42.0

4 . 5

4 . 3

5 . 2

5 . 2

4 . 8

4 . 4

4 . 0

4 . 0

4 . 0

4 . 5

4 . 3

4.1

4 . 3

4 . 6

3 . 5

3 . 7

4 . 4

4 . 9

5.1

5.6

6.5

1.8

1.8

1.6

1.8

1.3

1.3

0.9

0.9

1.1

1.5

2.0

2.0

1.8

2.0

1.8

1.3

1.1

1.6

1.6

1.8

2.4

37369.0

69.5

70.0

70.5

71.0

71.5

72.0

72.5

73.0

73.5

74.0

74.5

75.0

75.5

76.0

76.5

77.0

77.5

78.0

78.5

79.0

2.0

1.6

1.1

1.4

1.6

1.4

1.8

1.8

1.8

2.1

1.6

1.2

1.6

1.6

1.7

1.9

1.7

1.7

J.7

1.7

1.7

U. SL GOVERNMENT PRINTING OFFICE : 1963 O - 677-550