Narrow rings: a scattering billiard model
摘要
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.
引用
@article{arxiv.chao-dyn/9902003,
title = {Narrow rings: a scattering billiard model},
author = {L. Benet and T. H. Seligman},
journal= {arXiv preprint arXiv:chao-dyn/9902003},
year = {2009}
}
备注
Title slightly modified; changes in the abstract, introduction and last section; one figure added. This version is more comprehensive. 11 pages, 7 postscript figures