THE MASSES IN A SYMMETRIC SOLUTION OF THE FOUR BODY PROBLEM

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作者
Diacu, Florin Nicolae [1 ]
机构
[1] Univ Heidelberg, Inst Angew Math, D-6900 Heidelberg 1, Germany
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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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