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

Abstract , Paper (src), View paper (auto. generated ps), Index 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.

Files: 05-364.src( 05-364.keywords , abt.tex , abt.tar.gz.mm , figures.tar.gz.mm )