A motion theory for Jupiter and Saturn over a 6000 yr span Solution JASON84

Astronomy and Astrophysics – Astronomy

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Astrometry, Celestial Mechanics, Jupiter (Planet), Orbit Perturbation, Planet Ephemerides, Saturn (Planet), Computerized Simulation, Harmonic Analysis, Numerical Integration, Jupiter, Planets, Saturn, Motion, Celestial Mechanics, Data, Uranus, Techniques, Procedure, Calculations, Perturbations, Neptune, Astronomy, Position (Location), Longitude, Observations

Scientific paper

The JASON84 solution gives the motion of Jupiter and Saturn with a good precision over a period of 6000 years. In the first part the authors describe the method used to compute the mutual perturbations of Jupiter and Saturn with a good precision over 6000 years. The variables used are a, λ, e, ω~, γ, Ω and the equations are Lagrangian equations. In the second part the solution JASON84 is described. It contains the perturbations of Jupiter and Saturn by Uranus and Neptune from TOP82 and VSOP82 (Bretagnon, 1982) and the perturbations by the inner planets from VSOP82. The precision of the geocentric longitudes of the planets, calculated from this solution, is better than 0°.01 over the period -4000, +2000, and better than 0°.003 over the period -1000, +2000.

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