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...27d&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 46, no. 1, 1989, p. 27-30.

Statistics

Computation

2

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

Scientific paper

It is proved that, if a noncollinear 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. This result is true for the
generalized attraction law given by the inverse (alpha + 1) power of the
distance, with alpha greater than 0.

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