Hill stability of the satellites in coplanar four-body problem

被引：7

作者：

Gong, Shengping ^{[1
]}

Liu, Chao ^{[1
]}

机构：

[1] Tsinghua Univ, Sch Aerosp Engn, Beijing 100084, Peoples R China

来源：

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 2016年 / 462卷 / 01期

基金：

中国国家自然科学基金;

关键词：

methods: analytical; methods: numerical; celestial mechanics; planets and satellites: dynamical evolution and stability; stars: kinematics and dynamics; galaxies: kinematics and dynamics; MANY-BODY SYSTEMS; LOW-MASS BINARIES; HIERARCHICAL STABILITY; CENTRAL CONFIGURATIONS; 3-BODY; CRITERIA; SURFACES; TOTALITY;

D O I：

10.1093/mnras/stw1556

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider a four-body system, where three bodies, constituting a subsystem, orbit around a larger body. This paper is devoted to study the Hill stability of the subsystem using a coplanar four-body problem. Starting from the equation of zero-velocity surface for the general coplanar four-body problem, we derive two criteria of Hill stability, one of which is similar to the criterion of Hill stability in the three-body problem. These criteria are used to judge the Hill stability of the Sun Jupiter Ganymede Callisto system.

引用

页码：547 / 553

页数：7

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