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.

引用

页码：237 / 247

页数：10

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