Chaos in the 3 : 1 mean-motion resonance revisited

Physics

Scientific paper

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Scientific paper

Numerical simulations of orbits in the 3 : 1 mean-motion resonance
reveal the existence of nearly closed homoclinic loops attached to a
periodic orbit. Chaos in the vicinity of these loops is associated not
with the separatrix of libration as in Wisdoms study but with secular
instabilities first noted by Henrard and Caranicolas.

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