resonance; asymmetric equilibria; stability; capture probability
Abstract :
[en] 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.
Disciplines :
Mathematics
Author, co-author :
Jancart, Sylvie ; Facultés Universitaires Notre-Dame de la Paix - Namur - FUNDP > Mathématiques
Lemaitre, Anne; Département de mathématique FUNDP, 8, Rempart de la Vierge, B-5000 Namur, Belgique
Istace, Anne; Département de mathématique FUNDP, 8, Rempart de la Vierge, B-5000 Namur, Belgique)
Language :
English
Title :
Second Fundamental Model of Resonance with Asymmetric Equilibria
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