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arXiv · chao-dyn/9902003

Narrow rings: a scattering billiard model

L. Benet·T. H. Seligman
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Abstract

We propose a generic mechanism for the formation of narrow rings in rotating systems. For this purpose we use a system of discs rotating about a common center lying well outside the discs. A discussion of this system shows that narrow rings occur, if we assume non-interacting particles. A saddle-center bifurcation is responsible for the relevant appearance of elliptic regions in phase space, that will generally assume ring shapes in the synodic frame, which will suffer a precession in the sidereal frame. Finally we discuss possible applications of this mechanism and find that it may be relevant for planetary rings as well as for semi-classical considerations.

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L. Benet, T. H. Seligman. 1999-12-03. Narrow rings: a scattering billiard model. https://doi.org/10.1143/ptps.139.234

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