Second species periodic orbits of the elliptic 3 body problem

被引：12
作者：
Bolotin, S
机构：
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2] Moscow Steklov Math Inst, Madison, WI 53706 USA
来源：
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2005年 / 93卷 / 1-4期
基金：
美国国家科学基金会; 俄罗斯基础研究基金会;
关键词：
3-body problem; collision; second species orbits; twist map;
D O I：
10.1007/s10569-005-2172-7
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We consider the plane restricted elliptic 3 body problem with small mass ratio and small eccentricity and prove the existence of many periodic orbits shadowing chains of collision orbits of the Kepler problem. Such periodic orbits were first studied by Poincare for the non-restricted 3 body problem. Poincare called them second species solutions.
引用
收藏
页码：343 / 371
页数：29
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