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

نویسنده

  • Davide L. Ferrario
چکیده

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 only numerically). The method is by minimizing a discretization of the action functional under symmetry constraints.

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تاریخ انتشار 2002