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Dynamics of two satellites in the 2/1 mean-motion resonance: application to the case of Enceladus and Dione. (English) Zbl 1111.70011
Summary: The dynamics of a pair of satellites similar to Enceladus-Dione is investigated with a two-degrees-of-freedom model written in the domain of the planar general three-body problem. Using surfaces of section and spectral analysis methods, we study the phase space of the system in terms of several parameters, including the most recent data. A detailed study of the main possible regimes of motion is presented, and in particular we show that, besides the two separated resonances, the phase space is replete with secondary resonances.

MSC:
70F15 Celestial mechanics
70F07 Three-body problems
70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics
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