The masses in a symmetric solution of the four body problem

Details The masses in a symmetric solution of the four body problem The masses in a symmetric solution of the four body problem

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cemda..46...27n&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 46, Issue 1, pp.27-30

Astronomy and Astrophysics

Astronomy

Scientific paper

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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