Numerical integration of the satellites of the outer planets

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Equations Of Motion, Gas Giant Planets, Natural Satellites, Numerical Integration, Center Of Gravity, Computer Programs, Galilean Satellites, Jupiter (Planet), Oblate Spheroids, Planet Ephemerides, Planetary Mass, Saturn (Planet), Variational Principles, Planets, Giant Planets, Satellites, Numerical Methods, Calculations, Mass, Celestial Mechanics, Equations Of Motion, Ephemerides, Parameters, Saturn, Oblateness, Jupiter, Astronomy

Scientific paper

The formulation of a numerical integration program, used to construct ephemerides for satellites of the outer planets, is described. The equations of motion are derived, including (1) n massive integrated satellites, (2) m massive perturbing planets, (3) J2, J4 oblateness coefficients of the primary and each satellite, and (4) a barycentric coordinate system. Variational equations are also found: (1) 6n initial states and n masses of the integrated satellites, (2) J2, J4 of the primary planet, (3) the mass of the system, and (4) right ascension and declination of the pole. The formulation was used to construct the satellite ephemerides of Saturn for the Voyager mission.

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