Dynamics of two satellites in the 2/1 Mean–Motion resonance: application to the case of Enceladus and Dione

Author: Callegari N.   Yokoyama T.  

Publisher: Springer Publishing Company

ISSN: 0923-2958

Source: Celestial Mechanics and Dynamical Astronomy, Vol.98, Iss.1, 2007-05, pp. : 5-30

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Abstract

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 of secondary resonances.