Nonlinear stability of the Lagrangian libration points in the Chermnykh problem

被引：52

作者：

Gozdziewski, K ^{[1
]}

Maciejewski, AJ ^{[1
]}

机构：

[1] Nicholas Copernicus Univ, Torun Ctr Astron, Torun, Poland

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1998年 / 70卷 / 01期

关键词：

three-body problem; libration points; stability; normal forms;

D O I：

10.1023/A:1008250207046

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper we consider the problem of motion of an infinitesimal point mass in the gravity field of an uniformly rotating dumb-bell. The aim of our study is to investigate Liapunov stability of Lagrangian libration points of this problem. We analyze the stability of libration points in the whole range of parameters omega, mu of the problem. In particular, we consider all resonance cases when the order of resonance is not greater than five.

引用

页码：41 / 58

页数：18

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