Planetary Rings with Shepherds

Physics

Scientific paper

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Scientific paper

We shall consider the system of planetary rings with shepherds as a reduced four-body problem neglecting interaction between ring particles. We introduce a billiard scattering model consisting of two non-overlapping rotating discs in the context of the formation and structural properties of planetary rings. We show that due to the arrangement of the symmetric periodic orbits, stable orbits are found which in the configuration space lead to the appearance of patterns qualitatively similar to planetary rings. Rings associated with different stability regions are naturally braided; different braids may overlap displaying features similar to clumps. Erosion mechanisms within the model are discussed.

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