The masses in a symmetric solution of the four body problem
Abstract
It is proved that, if a noncollinear motion of the fourbody problem has a symmetry axis (or plane), then the center of mass lies on this axis (plane) and the symmetric masses are equal. This result is true for the generalized attraction law given by the inverse (alpha + 1) power of the distance, with alpha greater than 0.
 Publication:

Celestial Mechanics and Dynamical Astronomy
 Pub Date:
 March 1989
 Bibcode:
 1989CeMDA..46...27D
 Keywords:

 Center Of Mass;
 Computational Astrophysics;
 Four Body Problem;
 Celestial Mechanics;
 Symmetry;
 Astrophysics