- 05-364 Gianni Arioli, Vivina Barutello, Susanna Terracini
- A new branch of mountain pass solutions for the choreographical 3-body problem
(1220K, latex with eps figures)
Oct 19, 05
(auto. generated ps),
of related papers
Abstract. We prove the existence of a new branch of solutions of Mountain Pass type for the periodic 3-body problem with choreographical constraint. At first we describe the variational structure of the action functional associated to the choreographical three body problem in R^3.
In the second part, using on a bisection algorithm, we provide a numerical non-rigorous solution of Mountain Pass type for this problem in a rotating frame with angular velocity 1.5.
The last step consists in the rigorous computer-assisted proof of the existence of a full branch of solutions for the problem starting from the Mountain Pass solution detected numerically.