A general theory of motion for the eight major satellites of Saturn. I - Equations and method of resolution

Astronomy and Astrophysics – Astronomy

Scientific paper

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Equations Of Motion, Orbit Perturbation, Orbital Resonances (Celestial Mechanics), Saturn Satellites, Galilean Satellites, Space Exploration, Voyager 2 Spacecraft, Saturn, Satellites, Theoretical Studies, Motion, Calculations, Mimas, Techniques, Resonance, Equations Of Motion, Parameters, Eccentricity, Orbital Elements, Procedure, Astronomy, Enceladus, Tethys, Dione, Rhea, Titan, Hyperion, Iapetus

Scientific paper

A new method to construct an analytical theory of motion of Saturn's satellites is presented. It is an extension of the methods already used by Duriez (1979) and Laskar (1984) to construct a general planetary theory, using the same formalism to deal with the multiple resonances occurring in the saturnian system. The present goal is to obtain accurate representations of motions, adequate to future space observations. Thus, great care is taken in the construction of the models, which remains completely analytical with respect to physical parameters and constants of motion. Some preliminary results are given, which indicate good agreement with previous theories.

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