Stability of triangular libration points in a planar restricted elliptic three body problem in cases of double resonances

被引：5

作者：

Kholostova, Olga ^{[1
]}

机构：

[1] Natl Res Univ, Moscow Aviat Inst, Moscow 125993, Russia

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2015年 / 73卷

基金：

俄罗斯基础研究基金会;

关键词：

Three-body problem; Triangle libration points; Stability; Double resonance; UNRESTRICTED 3-BODY PROBLEM;

D O I：

10.1016/j.ijnonlinmec.2014.11.005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Stability of triangular libration points in a planar restricted elliptic three-body problem is investigated for two sets of parameters corresponding to the cases of double resonances. These positions are shown to be formally stable in the case of the fourth-order double resonance. When a weak third-order and a strong fourth-order resonances occur in the system, any motion of an approximate autonomous system is found to be bounded if initial conditions are sufficiently close to the unperturbed motion. Boundedness domain estimate is obtained. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：64 / 68

页数：5

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