Second Fundamental Model of Resonance with Asymmetric Equilibria |
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Authors: | Sylvie Jancart Anne Lemaitre Anne Istace |
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Institution: | (1) Département de mathématique FUNDP, 8, Rempart de la Vierge, B-5000 Namur, Belgique |
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Abstract: | We study the position and the stability of the equilibria for a generic Hamiltonian function developed up to the second harmonic and depending on two parameters; we describe the topology of the phase space for fixed values of these parameters. We show that for some values of the parameters asymmetric equilibria (unstable or stable) may appear. We deduce the conditions of capture into first order resonances for slowly drifting systems. We apply this model to the restricted three-body problem. |
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Keywords: | resonance asymmetric equilibria stability capture probability |
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