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
相关论文
共 7 条
  • [1] BRUNS H, 1887, PROBLEMS ACTA MATH, V11, P25
  • [2] Lagrange J.L, 1873, OUVRES, V6, P272
  • [3] MORALESRUIZ JJ, 1998, GALOISIAN OBSTRUCTIO
  • [4] POINCARE H, 1892, METHODES NOUVELLES M, V1, pCH5
  • [5] TSYGVINTSEV A, 1999, 150 U TOUL
  • [6] Whittaker E. T., 1970, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, V4th ed.
  • [7] Ziglin SL, 1982, FUNCT ANAL APPL, P16
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