A second fundamental model for resonance

Details A second fundamental model for resonance A second fundamental model for resonance

Jun 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..30..197h&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 30, June 1983, p. 197-218. Research supported by the Fonds National de la Recherche S

Physics

111

Celestial Mechanics, Dione, Enceladus, Orbit Perturbation, Planetary Orbits, Resonance, Approximation, Dynamic Stability, Hamiltonian Functions, Libration

Scientific paper

A one-degree of freedom Hamiltonian system, constituting a model much closer to resonance problems arising in celestial mechanics than the pendulum, is analyzed. From this model are deduced the conditions of capture into resonance or escape from resonance, for systems which are slowly drifting. This analysis is applied to the Enceladus-Dione resonance. The perturbation function is truncated after the first power in the mass ratios of satellites/planets, and only the long period terms at the first order in the eccentricities are retained.

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