Symmetric periodic orbits for the n-body problem: some preliminary results

Details Symmetric periodic orbits for the n-body problem: some preliminary results Symmetric periodic orbits for the n-body problem: some preliminary results

2002-08-23

arxiv.org/abs/math/0208188v1

Mathematics

Dynamical Systems

LaTeX file, 16 pages, 10 figures

Scientific paper

We show the existence of some infinite families of periodic solutions of the
planar Newtonian n-body problem --with positive masses-- which are symmetric
with respect to suitable actions of finite groups (under a strong--force
assumption, or just numerically). The method is by minimizing a discretization
of the action functional under symmetry constraints.

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