On the stability of realistic three-body problems

被引：42

作者：

Celletti, A ^{[1
]}

Chierchia, L ^{[1
]}

机构：

[1] UNIV ROMA TRE,DIPARTIMENTO MATEMAT,I-00146 ROME,ITALY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1997年 / 186卷 / 02期

关键词：

D O I：

10.1007/s002200050115

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the system Sun-Jupiter-Ceres as an example of a planar, circular, restricted three-body problem and, after substituting the mass ratio of Jupiter/Sun (which is approximately 10(-3)) with a parameter epsilon, we prove the existence of stable quasiperiodic motions with frequencies close to the observed (average) frequencies reported in ''The Astronomical Almanac'' for \epsilon\ < 10(-6). The proof is ''computer-assisted''.

引用

页码：413 / 449

页数：37

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