Abstract
Abstract
We give a computer-assisted proof of the full listing of central configuration for n-body problem for Newtonian potential on the plane for $$n=5,6,7$$
n
=
5
,
6
,
7
with equal masses. We show all these central configurations have a reflective symmetry with respect to some line. For $$n=8,9,10$$
n
=
8
,
9
,
10
, we establish the existence of central configurations without any reflectional symmetry.
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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arxiv:math/0204198v1
(2002)
Cited by
14 articles.
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