LINEAR STABILITY OF A SELF-GRAVITATING RING

被引：22
|
作者：
Scheeres, D. J. [1 ]
Vinh, N. X. [1 ]
机构：
[1] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA
来源：
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1991年 / 51卷 / 01期
关键词：
Planetary ring; self-gravitating ring; stability;
D O I：
10.1007/BF02426672
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Stability of a self-gravitating ring about a central body is considered. The purpose is to derive a bound on the mass of the ring in order that the system will be linearly stable. Our bound will, in some cases, be the best possible bound. The bound is also expanded as an asymptotic series. Comparisons of our result are made with respect to previous analyses performed by Tisserand, Pendse and Willerding.
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页码：83 / 103
页数：21
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