On motions around the collinear libration points in the elliptic restricted three-body problem

被引：34

作者：

Hou, X. Y. ^{[1
,2
,3
]}

Liu, L. ^{[1
,2
,3
]}

机构：

[1] Nanjing Univ, Dept Astron, Nanjing 210093, Peoples R China

[2] Nanjing Univ, Inst Space Environm & Astrodynam, Nanjing 210093, Peoples R China

[3] Nanjing Univ, Key Lab Modern Astron & Astrophys, Nanjing 210093, Peoples R China

来源：

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 2011年 / 415卷 / 04期

基金：

中国国家自然科学基金;

关键词：

celestial mechanics; 3 BODY PROBLEM; ORBITS; MOON;

D O I：

10.1111/j.1365-2966.2011.18970.x

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Motions around the collinear libration points in the elliptic restricted three-body problem are studied. Literal expansions of the Lissajous orbits and the halo orbits are obtained. These expansions depend on two amplitude parameters and the orbital eccentricity of the two primaries. Numerical simulations are done to check the validity of these literal series and to compare them with the results in the circular restricted three-body problem. According to the properties of these literal expansions, three kinds of symmetric periodic orbits around the collinear libration points are discussed. Finally, applications of these results in the Earth-Moon system and the Sun-Earth+Moon system are discussed.

引用

页码：3552 / 3560

页数：9

共 11 条

[1] STABILITY OF PERIODIC ORBITS IN ELLIPTIC, RESTRICTED 3-BODY PROBLEM [J].