The masses in a symmetric solution of the four body problem |
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| Authors: | Florin Nicolae Diacu |
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| Institution: | 1. Institut für Angewandte Mathematik, Universit?t Heidelberg, Im Neuenheimer Feld 294, 6900, Heidelberg 1, F.R.G.
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| Abstract: | 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 (α+1)-power of the distance, with α > 0. |
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