On the Lagrange Stability of the Motion in the Spatial Elliptic Restricted Three-body Problem

被引：2

作者：

Sosnitskii, Stepan P. ^{[1
]}

机构：

[1] Ukrainian Natl Acad Sci, Inst Math, MSP, 3 Tereshchenkivska Str, UA-01601 Kiev 4, Ukraine

来源：

ASTRONOMICAL JOURNAL | 2020年 / 160卷 / 06期

关键词：

N-body problem; Three-body problem; Orbits; Two-body problem; Perturbation methods;

D O I：

10.3847/1538-3881/abc333

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the Lagrange stability in the spatial elliptic restricted three-body problem. In this study, we essentially use the boundedness of the motion of a small particle with respect to planar coordinates and show that this plays a key role in ensuring the boundedness of the motion in the spatial case. As a result, we obtain the Lagrange stability theorem for an infinitely small particle in the spatial elliptic restricted three-body problem. The proposed approach can then be extended to the case of the general three-body problem.

引用

页数：6

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