Second Fundamental Model of Resonance with Asymmetric Equilibria

Details Second Fundamental Model of Resonance with Asymmetric Equilibria Second Fundamental Model of Resonance with Asymmetric Equilibria

Oct 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cemda..84..197j&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 84, Issue 2, p. 197-221 (2002).

Mathematics

Probability

4

Resonance, Asymmetric Equilibria, Stability, Capture Probability

Scientific paper

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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