Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem

被引：22

作者：

Arioli, G ^{[1
]}

机构：

[1] Dipartimento Sci & TA, I-15100 Alessandria, Italy

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2002年 / 231卷 / 01期

关键词：

D O I：

10.1007/s00220-002-0666-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper concerns the restricted 3-body problem. By applying topological methods we give a computer assisted proof of the existence of some classes of periodic orbits, the existence of symbolic dynamics and we give a rigorous lower estimate for the topological entropy.

引用

页码：1 / 24

页数：24

共 20 条

[1]

24Walters P., 2000, An Introduction to Ergodic Theory, V79

[2]

[Anonymous], TOPOL METHODS NONLIN

[3] Minimization properties of Hill's orbits and applications to some N-body problems [J].