Libration of Laplace's argument in the Galilean satellites theory

Details Libration of Laplace's argument in the Galilean satellites theory Libration of Laplace's argument in the Galilean satellites theory

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..34..255h&link_type=abstract

(Bundesministerium für Wissenschaft und Forschung of Austria, Alexander von Humboldt Colloquium on Celestial Mechanics: The Stab

Other

Celestial Mechanics, Galilean Satellites, Librational Motion, Hamiltonian Functions, Libration, Series Expansion

Scientific paper

In the Galilean satellites motion, the Laplace argument λ1-3λ2+2λ3 librates around the value π. 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 in case of a description of possible scenarios 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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