 05364 Gianni Arioli, Vivina Barutello, Susanna Terracini
 A new branch of mountain pass solutions for the choreographical 3body problem
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Oct 19, 05

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Abstract. We prove the existence of a new branch of solutions of Mountain Pass type for the periodic 3body 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 nonrigorous solution of Mountain Pass type for this problem in a rotating frame with angular velocity 1.5.
The last step consists in the rigorous computerassisted proof of the existence of a full branch of solutions for the problem starting from the Mountain Pass solution detected numerically.
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