Bifurcations in dynamics of Shepherd systems

被引：0
|
作者：
Macabea, Joyce [1 ]
机构：
[1] Inst Mol Sci, Berkeley, CA 94704 USA
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2007年 / 17卷 / 02期
关键词：
shepherd moon; bifurcation; three-body-problem; dynamical systems; celestial mechanics;
D O I：
10.1142/S0218127407017410
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A small moon orbiting near the edge of a ring of particles can act as a "shepherd", keeping errant ring particles from drifting away and keeping the ring boundary sharp. This phenomenon was predicted before it was observed [Goldreich & Tremaine, 1979] and has been successfully modeled by many authors, see [ Murray & Dermott, 1999]. In this paper we focus on the bifurcations that occur in the motion of a ring particle as the mass of the moon and the distance between orbits of the moon and the particle are adjusted.
引用
收藏
页码：545 / 559
页数：15
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