J/A+AS/109/181 Planetary ephemerides (Chapront, 1995)
Representation of planetary ephemerides by frequency analysis. Application to
the five outer planets.
Chapront J.
<Astron. Astrophys. Suppl. Ser. 109, 181 (1995)>
=1995A&AS..109..181C 1995A&AS..109..181C
ADC_Keywords: Ephemerides
Keywords: ephemerides - planets and satellites: general - methods: numerical
Contents:
Heliocentric equatorial rectangular coordinates of the five outer planets
(X, Y and Z). The source is based on DE200 (tables 4 to 7) or a
reconstruction of DE200 by numerical integration (tables 9 to 13).
The reference frame is the mean equator and equinox J2000 of DE200.
The general formulation of the series X is:
X = SUM[i=1,Records] T**ni*(CXi*cos(Nuk*t)+SXi*sin(Nuk*t))
The formulation is identical for Y and Z.
T is the time (TDB) in Julian centuries from J2000:
T = (JulianDate - 2451545.0)/36525
t is the time (TDB) in Julian years from J2000:
t = (JulianDate - 2451545.0)/365.25
Nu is the frequency. Frequencies are identical for all terms of rank k:
Nuk = Nui when ni = 0
For purely secular terms k = 0 and Nu0 = 0
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table4.dat 128 163 *Coefficients for Jupiter
table5.dat 128 141 *Coefficients for Saturn
table6.dat 128 103 *Coefficients for Uranus
table7.dat 128 61 *Coefficients for Neptune
table9.dat 128 216 *Coefficients for Jupiter
table10.dat 128 192 *Coefficients for Saturn
table11.dat 128 129 *Coefficients for Uranus
table12.dat 128 117 *Coefficients for Neptune
table13.dat 128 98 *Coefficients for Pluto
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Note on table4.dat, table5.dat, table6.dat, table7.dat:
The source is based on DE200. The time interval covers the
Julian dates 2378640.5 (1800/5/25) to 2469640.5 (2049/7/18). The
precision of the approximation is below 0.004 arcsecond for all the
planets, in angular variables. The number of terms is distributed as
follows: One constant term, N secular terms, Q0 periodic (Fourier)
terms, Q1 and Q2 mixed (Poisson) terms of degree 1 and 2 in time.
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Table (Planet) N Q_0 Q_1 Q_2
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4 (Jupiter) 3 135 22 2
5 (Saturn) 3 118 17 2
6 (Uranus) 1 78 18 5
7 (Neptune) 1 48 10 1
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Note on table9.dat, table10.dat, table11.dat, table12.dat, table13.dat:
The source is based on a reconstruction of DE200.
The time interval covers the Julian dates 2338032.5 (1689/3/19) to
2542032.5 (2247/10/1). The precision of the approximation is below
0.02 arcsecond for all the planets, in angular variables. The number
of terms is distributed as follows (see note(1)):
-----------------------------------------------------
Table (Planet) N Q_0 Q_1 Q_2
-----------------------------------------------------
9 (Jupiter) 1 154 44 16
10 (Saturn) 1 130 41 19
11 (Uranus) 1 102 19 6
12 (Neptune) 1 96 15 4
13 (Pluto) 1 66 20 10
-----------------------------------------------------
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See also:
VI/87 : Planetary Ephemerides of all nine planets (Chapront+ 1996)
Byte-by-byte Description of file: table*.dat
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Bytes Format Units Label Explanations
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2- 5 I4 --- k ? Rank of the frequency
9 I1 --- n Power of time (1)
13- 27 F15.0 --- CX Variable X - Cosine term (2)
28- 42 F15.0 --- SX ? Variable X - Sine term (2)
45- 59 F15.0 --- CY Variable Y - Cosine term (2)
60- 74 F15.0 --- SY ? Variable Y - Sine term (2)
77- 91 F15.0 --- CZ Variable Z - Cosine term (2)
92-106 F15.0 --- SZ ? Variable Z - Sine term (2)
110-128 F19.16 rad/yr Nu ? Frequency
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Note (1): If n=0 the term is purely periodic (Fourier) or constant.
If n=1,2 or 3 the term is mixed (Poisson) or secular,
of degree 1, 2 or 3 with respect to time
Note (2): Units are:
1e-10 AU if n=0,
1e-10 AU/Cy if n=1,
1e-10 AU/Cy2 if n=2,
1e-10 AU/Cy3 if n=3
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(End) Patricia Bauer [CDS] 03-Oct-1994