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
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页码:51 / 149
页数:99
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