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

Details Periodic Orbits in the Exterior Resonances 1/2,1/3 and 1/4 with Neptune Periodic Orbits in the Exterior Resonances 1/2,1/3 and 1/4 with Neptune

May 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004dda....35.0705k&link_type=abstract

American Astronomical Society, DDA meeting #35, #07.05; Bulletin of the American Astronomical Society, Vol. 36, p.859

Astronomy and Astrophysics

Astronomy

Scientific paper

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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