Poincare and the Three-Body Problem

被引：0

作者：

Chenciner, Alain ^{[1
,2
]}

机构：

[1] ASD, IMCCE UMR 8028, Observ Paris, 77 Ave Denfert Rochereau, F-75014 Paris, France

[2] Univ Paris 07, Dept Math, F-75221 Paris 05, France

来源：

HENRI POINCARE, 1912-2012 | 2015年 / 67卷

关键词：

STABILITY; PROOF; THEOREM; DESTRUCTION; EXISTENCE; SYSTEMS; ORBITS;

D O I：

暂无

中图分类号：

N09 [自然科学史]; B [哲学、宗教];

学科分类号：

01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;

摘要：

The Three-Body Problem has been a recurrent theme of Poincare's thought. Having understood very early the need for a qualitative study of "non-integrable" differential equations, he developed the necessary fundamental tools: analysis, of course, but also topology, geometry, probability. One century later, mathematicians working on the Three-Body Problem still draw inspiration from his works, in particular in the three volumes of Les methodes nouvelles de la mecanique celeste published respectively in 1892, 1893, 1899.

引用

页码：51 / 149

页数：99

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