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

页码：235 / 248

页数：14

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