KAM Stability for a three-body problem of the Solar system

被引：15

作者：

Celletti, A

Chierchia, L

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2005年 / 57卷 / 01期

关键词：

stability; KAM theory; three-body problem;

D O I：

10.1007/s00033-005-0002-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new (iso-energetic) KAM method is tested on a specific three-body problem "extracted" from the Solar system (Sun-Jupiter + asteroid 12 Victoria). Analytical results in agreement with the observed data are established. This paper is a concise presentation of [2].

引用

页码：33 / 41

页数：9

共 6 条

[1] Frequency analysis of the stability of asteroids in the framework of the restricted three-body problem [J].