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Communication Dans Un Congrès Année : 2012

Coupling Between Corotation And Lindblad Mean Motion Resonances

Résumé

We consider the classical Elliptic Restricted Three-Body Problem with two bodies (particle and satellite) orbiting a central planet. If we take into account the oblateness of the central body through the classical additional terms up to J_6, the secular terms causing the orbit precessions appear in the disturbing potential leading to the presence of two critical resonant arguments : Phi = (m 1)lambda' mlambda omega and Phi' = (m 1)lambda' mlambda omega' where m is an integer, lambda and omega the mean longitude and the longitude of the periapsis of the particle, and the primed quantities apply to the satellite. The arguments Phi' and Phi respectively describe the Corotation Eccentric Resonance (CER) and the Lindblad Eccentric Resonance (LER). We developed a new model (the CoraLin model) which encapsulate in a simple adimensional form the coupling between the two resonances. We examine the asymptotic configurations where these resonances are well separated or completely superimposed. Poincaré surfaces of section reveal that in intermediate cases, the strong coupling between the resonances may lead to chaotic behavior. We apply this model to several recently discovered small Saturnian satellites dynamically linked to Mimas through first mean motion resonances : Anthe, Methone, and Aegaeon, all associated with arc material. All satellites are trapped in CER with Mimas and perturbed by the associated LER. We estimate the probability of capturing a satellite into a of CER with Mimas, as the orbit of the latter evolves through tidal effects, and discuss possible scenarios for the the dynamical origin of those moons.
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hal-03729899 , version 1 (20-07-2022)

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Maryame El Moutamid, Bruno Sicardy, Stefan Renner. Coupling Between Corotation And Lindblad Mean Motion Resonances. AAS/Division for Planetary Sciences Meeting #44, Oct 2012, Reno, NV, United States. ⟨hal-03729899⟩
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