Non-integrability of the three-body problem

被引：0
|
作者：
Andrzej J. Maciejewski
Maria Przybylska
机构：
[1] University of Zielona Góra,J. Kepler Institute of Astronomy
[2] University of Zielona Góra,Institute of Physics
来源：
Celestial Mechanics and Dynamical Astronomy | 2011年 / 110卷
关键词：
Integrability; Non-integrability criteria; Monodromy group; Differential Galois group; Hypergeometric equation; Hamiltonian equations; Three-body problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the planar problem of three bodies which attract mutually with the force proportional to a certain negative integer power of the distance between the bodies. We show that such generalisation of the gravitational three-body problem is not integrable in the Liouville sense.
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页码：17 / 30
页数：13
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