THE MASSES IN A SYMMETRIC SOLUTION OF THE FOUR BODY PROBLEM

被引:0
|
作者
Diacu, Florin Nicolae [1 ]
机构
[1] Univ Heidelberg, Inst Angew Math, D-6900 Heidelberg 1, Germany
来源
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1989年 / 46卷 / 01期
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中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
It is proved that if a non-collinear motion of the four body problem has a symmetry axis (or plane), then the center of mass lies on this axis (plane) and the symmetric masses are equal. We also remark that this result is true for the generalized attraction law given by the inverse (alpha+1)-power of the distance, with alpha > 0.
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页码:27 / 30
页数:4
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