Abstract
AbstractA 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 $$n=12$$
n
=
12
. We show some exemplary balanced configurations in the case $$n=5$$
n
=
5
, as well as some balanced configurations without any axis of symmetry in the cases $$n=4$$
n
=
4
and $$n=10$$
n
=
10
.
Publisher
Springer Science and Business Media LLC
Subject
Space and Planetary Science,Astronomy and Astrophysics,Applied Mathematics,Computational Mathematics,Mathematical Physics,Modeling and Simulation
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