35th Meeting of the AAS Division on Dynamical Astronomy, April 2004
Session 7 Posters II
, Thursday, April 22, 2004, 7:00-8:30pm,

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[7.05] Periodic Orbits in the Exterior Resonances 1/2,1/3 and 1/4 with Neptune

T. Kotoulas, G. Voyatzis (University of Thessaloniki)

We present the families of periodic orbits and their stability for the exterior mean motion resonances 1/2, 1/3 and 1/4 with Neptune in the framework of the planar circular restricted three-body problem. We found that in each resonance there exist two branches of elliptic orbits with stable and unstable segments. Asymmetric periodic orbits bifurcate from the corresponding symmetric ones. They are stable and show thin libration zones on the corresponding Poincare sections. The families of asymmetric periodic orbits extend to high eccentricity values for all cases.

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Bulletin of the American Astronomical Society, 36 #2
© 2004. The American Astronomical Soceity.