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Libration of Laplace's argument in the Galilean satellites theory
Authors:J Henrard
Institution:(1) Department of Mathematics, Facultés Univesitaires de Namur, B-5000 Namur, Belgium
Abstract:In the Galilean satellites motion, the Laplace argument lambda13lambda2+2lambda3 librates around the value pgr. The amplitude of libration is very small so that the classical theories have not been set up to take into account large librations. On the other hand large librations have to be considered when we describe possible scenarii of capture into resonance by tidal effects. The aim of this paper is to present a new way of applying Hamiltonian perturbation methods to the problem of the Galilean satellites in such a way that the theory is valid for large librations. Preliminary results from such a theory are discussed.
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