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J/A+AS/109/181                            Planetary ephemerides (Chapront, 1995)
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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      (SIMBAD/NED Reference)
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ADC_Keywords: Ephemerides
Keywords: ephemerides - planets and satellites: general - methods: numerical

Description:
  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**n_i*(CX_i*cos(Nu_k*t)+SX_i*sin(Nu_k*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:
                Nu_k = Nu_i when n_i = 0
                For purely secular terms k = 0 and Nu_0 = 0


File Summary:
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  FileName      Lrecl  Records   Explanations
--------------------------------------------------------------------------------
ReadMe             80        .   This file
table4            128      163  *Jupiter (1)
table5            128      141  *Saturn (1)
table6            128      103  *Uranus (1)
table7            128       61  *Neptune (1)
table9            128      216  *Jupiter (2)
table10           128      192  *Saturn (2)
table11           128      129  *Uranus (2)
table12           128      117  *Neptune (2)
table13           128       98  *Pluto (2)
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Note (1): 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, Q_0 periodic (Fourier) terms, Q_1 and Q_2 mixed (Poisson)
 terms of degree 1 and 2 in time.
    Table (Planet)  N       Q_0         Q_1         Q_2
    4     (Jupiter) 3       135         22          2
    5     (Saturn)  3       118         17          2
    6     (Uranus)  1       78          18          5
    7     (Neptune) 1       48          10          1
Note (2): 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


Byte-by-byte Description of file: table4, table5, table6, table7, table9
Byte-by-byte Description of file: table10, table11, table12, table13
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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