The meromorphic non-integrability of the planar three-body problem

被引:12
|
作者
Tsygvintsev, A
机构
[1] Univ Toulouse 3, CNRS UMR 5580, Lab Math Emile Picard, F-31062 Toulouse 4, France
[2] Univ Geneva, Sect Math, CH-1211 Geneva, Switzerland
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 331卷 / 03期
关键词
D O I
10.1016/S0764-4442(00)01623-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the planar three-body problem and grove the absence of a complete set of complex meromorphic first integrals in a neighborhood of the Lagrangian solution. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:241 / 244
页数:4
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