Nonlinear stability of equilibrium points in the restricted three-body problem with variable mass

被引：11
|
作者：
Singh, Jagadish [1 ]
机构：
[1] Ahmadu Bello Univ, Fac Sci, Dept Math, Zaria, Nigeria
来源：
ASTROPHYSICS AND SPACE SCIENCE | 2008年 / 314卷 / 04期
关键词：
nonlinear stability; equilibrium points; RTBP with variable mass;
D O I：
10.1007/s10509-008-9768-9
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The nonlinear stability of the equilibrium points in the restricted three-body problem with variable mass has been studied. It is found that, in the nonlinear sense, the collinear points are unstable for all mass ratios and the triangular points are stable in the range of linear stability except for three mass ratios, which depend upon beta, the constant due to the variation in mass governed by Jeans' law.
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页码：281 / 289
页数：9
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