Theory of Enceladus and Dione

Astronomy and Astrophysics – Astronomy

Scientific paper

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Natural Satellites, Orbit Perturbation, Orbital Mechanics, Saturn (Planet), Computer Programs, Disturbing Functions, Equations Of Motion, Hamiltonian Functions, Many Body Problem, Resonance, Titan

Scientific paper

A new theory of the motion of Enceladus and Dione is under development. The theory is in literal form, with all constants and parameters appearing explicitly, and is being computed with the aid of the algebraic manipulation system TRIGMAN. The development of the disturbing function; the elimination of the short-period terms; and the resonant Hamiltonian and the constants of integration are discussed. An important feature is that the programs have been written in such a manner that, with only minor modification, they should be able to develop the theories of Mimas-Tethys and Titan-Hyperion as well.

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