PERIODIC-ORBITS FOR THE PLANAR NEWTONIAN 3-BODY PROBLEM COMING FROM THE ELLIPTIC RESTRICTED 3-BODY PROBLEMS

被引：7

作者：

LLIBRE, J ^{[1
]}

SAARI, DG ^{[1
]}

机构：

[1] UNIV AUTONOMA BARCELONA,DEPT MATEMAT,E-08193 BARCELONA,SPAIN

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 347卷 / 08期

关键词：

PERIODIC ORBITS; 3-BODY PROBLEM; RESTRICTED PROBLEM;

D O I：

10.2307/2154767

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Through the introduction of a new coordinate system followed by a Poincare compactification, a new relationship is developed to connect the planar three-body problem with the various planar restricted three-body systems. This framework is further used to develop new conditions for the continuation of symmetric periodic orbits from elliptic restricted systems to the full planar three-body problem.

引用

页码：3017 / 3030

页数：14

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