A stochastic optimization algorithm for analyzing planar central and balanced configurations in the n-body problem

10/29/2020
by   Alexandru Doicu, et al.
0

A stochastic optimization algorithm for analyzing planar central and balanced configurations in the n-body problem is presented. We find a comprehensive list of equal mass central configurations satisfying the Morse equality up to n=12. We show some exemplary balanced configurations in the case n=5, as well as some balanced configurations without any axis of symmetry in the cases n=4 and n=10.

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