Dynamics of the small moons perturbed by Mimas

Computer Science

Scientific paper

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Scientific paper

Here we study in details the dynamics of Methone, Anthe and Aegaeon, which are also involved in Lindblad and/or secondary resonances with Mimas. Averaged equations are used to analyze the coupling between the resonances. We also perform numerical integrations, using an integrator [7] that takes into account the effects of Saturn's oblateness (up to J6), modified to compute the variation of geometric orbital elements [8]. We estimate the probabilities of capturing a satellite into one of the corotation eccentricity resonances with Mimas as the orbit of the latter evolves through tidal effects. This follows earlier results concerning the capture into spin-orbit resonances [9]. We will discuss the potential implications of this work, in particular the constraints it may provide on Mimas' orbital evolution.

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