Double choreographical solutions for n-body type problems

Details Double choreographical solutions for n-body type problems Double choreographical solutions for n-body type problems

May 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cemda..95...67b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 95, Issue 1-4, pp. 67-80

Astronomy and Astrophysics

Astronomy

1

Scientific paper

In this work, we prove the existence of solutions for the double choreographical n-body problem as critical points which are not minimizers of the corresponding Lagrangian action functional. We use the topological features of the sublevels of the action when a strong force assumption is imposed. We conclude with a description of an operative method to determine these solutions in mathbb{R}^3.

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