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Occurrence of planetary rings with shepherds

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Benet,  L.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

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Citation

Benet, L. (2001). Occurrence of planetary rings with shepherds. Celestial Mechanics & Dynamical Astronomy, 81(1-2), 123-128.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0011-859B-B
Abstract
We consider the system of planetary rings with shepherds as a restricted three or four-body problem, neglecting interactions between ring particles. We show that the generic occurrence of rings for the case of rotating short-range potentials can be extended to the case of gravitational potentials. The consecutive collision periodic orbits created by saddle-center bifurcations are of central importance.