Non-linear stability of the equilibria in the gravity field of a finite straight segment

被引：55
|
作者：
Riaguas, A [1 ]
Elipe, A [1 ]
López-Moratalla, T [1 ]
机构：
[1] Univ Zaragoza, Grp Mecan Espacial, E-50009 Zaragoza, Spain
来源：
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2001年 / 81卷 / 03期
关键词：
normal forms; stability;
D O I：
10.1023/A:1013217913585
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We study the non-linear stability of the equilibria corresponding to the motion of a particle orbiting around a finite straight segment. The potential is a logarithmic function and may be considered as an approximation to the one generated by elongated celestial bodies. By means of the Arnold's theorem for non-definite quadratic forms we determine the orbital stability of the equilibria, for all values of the parameter k of the problem, resonant cases included.
引用
收藏
页码：235 / 248
页数：14
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