Non-Existence of New Meromorphic First Integrals in the Planar Three-Body Problem

被引：0
|
作者：
Alexei V. Tsygvintsev
机构：
[1] University of Exeter,School of Mathematical Sciences
来源：
Celestial Mechanics and Dynamical Astronomy | 2003年 / 86卷
关键词：
three-body problem; integrability; Lagrangian solutions; Ziglin's theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the planar three-body problem and prove that, apart from some exceptional cases, there is no additional first integral meromorphic with respect to positions, mutual distances and momenta.
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收藏
页码：237 / 247
页数：10
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