Symmetric and Nonsymmetric Periodic Orbits in the Exterior Mean Motion Resonances with Neptune

Details Symmetric and Nonsymmetric Periodic Orbits in the Exterior Mean Motion Resonances with Neptune Symmetric and Nonsymmetric Periodic Orbits in the Exterior Mean Motion Resonances with Neptune

Jan 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cemda..91..191v&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 91, Issue 1-2, pp. 191-202

Astronomy and Astrophysics

Astronomy

9

Restricted Three Body Problem, Kuiper Belt, Symmetric Periodic Orbits, Asymmetric Periodic Orbits

Scientific paper

We present 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 symmetric elliptic periodic orbits with stable and unstable segments. Asymmetric periodic orbits bifurcate from the corresponding symmetric ones. Asymmetric periodic orbits are stable and the motion in their neighbourhood is a libration with respect to the resonant angle variable. In all the families of asymmetric periodic orbits the eccentricity extends to high values. Poincaré sections reveal the changes of the topology in phase space.

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