VI/81               Planetary Solutions VSOP87    (Bretagnon+, 1988)
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Planetary Theories in rectangular and spherical variables: VSOP87 solution.
     Bretagnon P., Francou G.
    <Astron. Astrophys. 202, 309 (1988)>
    =1988A&A...202..309B
Theorie du mouvement de l'ensemble des planetes (VSOP82).
     Bretagnon P.
    <Astron. Astrophys. 114, 278 (1982)>
    =1982A&A...114..278B
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ADC_Keywords: Ephemerides ;
Keywords: planets - ephemerides - celestial mechanics

Description:
    The Planetary solutions VSOP87 (Variations Seculaires des Orbites
    Planetaires) are analytical solutions of the motion of the planets in
    different versions. The main version VSOP87 consists of the series in
    elliptic elements as in the case of VSOP82 solution and the other
    versions VSOP87 (A-B-C-D-E) are built in in rectangular and spherical
    variables.

Authors' Address:
    P. Bretagnon, G. Francou
    Bureau des Longitudes, CNRS URA 707
    77, Avenue Denfert-Rochereau
    75014, Paris, France
    Tel    : (33) 1 40 51 22 69  (33) 1 40 51 22 60
    Fax    : (33) 1 46 33 28 34
    E-mail : pierre@bdl.fr  francou@bdl.fr

Contents:
    The main version of VSOP87 is similar to the previous theory VSOP82.
    In the both cases the constants of integration have been determined by
    fitting to the numerical integration DE200 of the Jet Propulsion
    Laboratory. The various versions of VSOP87 are different from one to
    another in the type of coordinates and the reference frame.
    VSOP87  : heliocentric elliptic    variables; equinox and ecliptic J2000.
    VSOP87A : heliocentric rectangular variables; equinox and ecliptic J2000.
    VSOP87B : heliocentric spherical   variables; equinox and ecliptic J2000.
    VSOP87C : heliocentric rectangular variables; equinox and ecliptic of date.
    VSOP87D : heliocentric spherical   variables; equinox and ecliptic of date.
    VSOP87E : barycentric  rectangular variables; equinox and ecliptic J2000.
    A program EXAMPLE (Fortran 77) is provided which makes use of the
    subroutine VSOP87 which substitutes the time in the series of the
    solutions VSOP87.


File Summary:
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 FileName    Lrecl    Records    Explanations
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ReadMe          80          .    This file
vsop87.txt      80        338    Notice for use of VSOP87 files
vsop87.f        72        231    Fortran77 subroutine VSOP87 (time substitution)
example.f       72        781    Fortran77 program example of use of VSOP87
vsop87.chk      77       2000    Results of substitution of time in VSOP87
                                    series
VSOP87.mer     132       4843    Mercury    Heliocentric elliptic elements J2000
VSOP87.ven     132       3018    Venus      Heliocentric elliptic elements J2000
VSOP87.emb     132       4233    Earth-Moon Heliocentric elliptic elements J2000
VSOP87.mar     132       7540    Mars       Heliocentric elliptic elements J2000
VSOP87.jup     132       6109    Jupiter    Heliocentric elliptic elements J2000
VSOP87.sat     132      12375    Saturn     Heliocentric elliptic elements J2000
VSOP87.ura     132      15212    Uranus     Heliocentric elliptic elements J2000
VSOP87.nep     132       8049    Neptune    Heliocentric elliptic elements J2000
VSOP87A.mer    132       6377    Mercury    Heliocentric rectangular var. J2000
VSOP87A.ven    132       2375    Venus      Heliocentric rectangular var. J2000
VSOP87A.ear    132       3556    Earth      Heliocentric rectangular var. J2000
VSOP87A.emb    132       3340    Earth-Moon Heliocentric rectangular var. J2000
VSOP87A.mar    132       7091    Mars       Heliocentric rectangular var. J2000
VSOP87A.jup    132       4452    Jupiter    Heliocentric rectangular var. J2000
VSOP87A.sat    132       7530    Saturn     Heliocentric rectangular var. J2000
VSOP87A.ura    132       5303    Uranus     Heliocentric rectangular var. J2000
VSOP87A.nep    132       2650    Neptune    Heliocentric rectangular var. J2000
VSOP87B.mer    132       7141    Mercury  Heliocentric spherical var. J2000
VSOP87B.ven    132       1728    Venus    Heliocentric spherical var. J2000
VSOP87B.ear    132       2582    Earth    Heliocentric spherical var. J2000
VSOP87B.mar    132       6418    Mars     Heliocentric spherical var. J2000
VSOP87B.jup    132       3643    Jupiter  Heliocentric spherical var. J2000
VSOP87B.sat    132       6383    Saturn   Heliocentric spherical var. J2000
VSOP87B.ura    132       5283    Uranus   Heliocentric spherical var. J2000
VSOP87B.nep    132       2037    Neptune  Heliocentric spherical var. J2000
VSOP87C.mer    132       8173    Mercury  Heliocentric rectangular var. of date
VSOP87C.ven    132       2922    Venus    Heliocentric rectangular var. of date
VSOP87C.ear    132       4211    Earth    Heliocentric rectangular var. of date
VSOP87C.mar    132       8321    Mars     Heliocentric rectangular var. of date
VSOP87C.jup    132       5573    Jupiter  Heliocentric rectangular var. of date
VSOP87C.sat    132       8801    Saturn   Heliocentric rectangular var. of date
VSOP87C.ura    132       7010    Uranus   Heliocentric rectangular var. of date
VSOP87C.nep    132       2898    Neptune  Heliocentric rectangular var. of date
VSOP87D.mer    132       6845    Mercury  Heliocentric spherical var. of date
VSOP87D.ven    132       1700    Venus    Heliocentric spherical var. of date
VSOP87D.ear    132       2442    Earth    Heliocentric spherical var. of date
VSOP87D.mar    132       5501    Mars     Heliocentric spherical var. of date
VSOP87D.jup    132       3501    Jupiter  Heliocentric spherical var. of date
VSOP87D.sat    132       5777    Saturn   Heliocentric spherical var. of date
VSOP87D.ura    132       4005    Uranus   Heliocentric spherical var. of date
VSOP87D.nep    132       1946    Neptune  Heliocentric spherical var. of date
VSOP87E.mer    132       7898    Mercury  Barycentric rectangular var. J2000
VSOP87E.ven    132       4675    Venus    Barycentric rectangular var. J2000
VSOP87E.ear    132       5574    Earth    Barycentric rectangular var. J2000
VSOP87E.mar    132       7593    Mars     Barycentric rectangular var. J2000
VSOP87E.jup    132       4560    Jupiter  Barycentric rectangular var. J2000
VSOP87E.sat    132       7540    Saturn   Barycentric rectangular var. J2000
VSOP87E.ura    132       5139    Uranus   Barycentric rectangular var. J2000
VSOP87E.nep    132       2403    Neptune  Barycentric rectangular var. J2000
VSOP87E.sun    132       6652    Sun      Barycentric rectangular var. J2000
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See also:
    VI/88 : Ephemerides of Pluto based on DE200      (Chapront+ 1995)
    VI/87 : Planetary Ephemerides based on DE403     (Chapront+ 1996)

Remarks:
    The subroutine VSOP87 and the program EXAMPLE (Fortran 77) are
    provided to simply illustrate the computation of a planetary
    ephemeris. If the user wants to improve the rapidity of computation,
    it is recommended to transform files in direct access or to read
    series in memory once for all.
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(End)              Gerard Francou [BDL], Francois Ochsenbein [CDS]   31-May-1995