The masses in a symmetric solution of the four body problem
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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.
KeywordsSymmetry Axis Symmetric Solution Body Problem Generalize Attraction Symmetric Masse
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