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[6.11] Stable 1:2 Resonant Periodic Orbits in Elliptic Three-Body Systems

J. Couetdic (Ecole Centrale Paris), N. Haghighipour (DTM/Carnegie), F. Varadi, W. B. Moore (IGPP/UCLA)

We present the results of an extensive numerical study of the periodic orbits of planar, elliptic, restricted three-body systems consisting of a star, an inner massive planet and an outer massless body in an external 1:2 mean-motion resonance. The dynamics of the outer body of such systems is studied for different values of the mass-ratio of the inner planet and the central star, and also for different values of the orbital eccentricity of the inner planet. Using the method of differential continuation, the locations of the resonant periodic orbits of such systems are identified and their stability is investigated through an extensive study of their phase-parameter space. We present the results of our study and their applications to the extrasolar planetary system GJ876.

We acknowledge the support for this work through NASA Astrobiology Institute/CIW and NASA Astrobiology Institute/UCLA.

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Bulletin of the American Astronomical Society, 35 #4
© 2003. The American Astronomical Soceity.