Periodic orbits of the planar collision restricted 3-body problem

被引：8

作者：

Llibre, Jaume ^{[1
]}

Pasca, Daniel

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Spain

[2] Univ Oradea, Dept Math & Informat, Oradea 410087, Romania

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2006年 / 96卷 / 01期

关键词：

collision restricted 3-body problem; continuation method; periodic orbits;

D O I：

10.1007/s10569-006-9013-1

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Using the continuation method we prove that the circular and the elliptic symmetric periodic orbits of the planar rotating Kepler problem can be continued into periodic orbits of the planar collision restricted 3-body problem. Additionally, we also continue to this restricted problem the so called "comet orbits".

引用

页码：19 / 29

页数：11

共 50 条

[11] PERIODIC-ORBITS FOR THE PLANAR NEWTONIAN 3-BODY PROBLEM COMING FROM THE ELLIPTIC RESTRICTED 3-BODY PROBLEMS
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[18] AN ASYMPTOTIC SOLUTION FOR A CLASS OF PERIODIC ORBITS OF RESTRICTED 3-BODY PROBLEM
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[19] CONTINUATION OF PERIODIC ORBITS FROM RESTRICTED TO GENERAL 3-BODY PROBLEM
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[20] PERIODIC ORBITS IN RESTRICTED 3-BODY PROBLEM - EXISTENCE AND ASYMPTOTIC APPROXIMATION
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