Periodic solutions for N-body type problems
Vittorio Coti Zelati
SISSA, Strada Costiera, 11, 34014 Trieste, Italy

Abstract
In this paper we prove the existence of a T-periodic solution (for any given T) for a class of Hamiltonian systems which includes the N-body one. We also prove that the solution we find is not a simultaneous collision one.
Résumé
Dans l’article on démontre l’existence d’une solution T-périodique (pour chaque T > 0) pour un ensemble de systèmes hamiltoniens comprenant celui des N-corps. On démontre aussi que la solution ainsi trouvée n’est pas une solution de collision totale.
Cite this article
Vittorio Coti Zelati, Periodic solutions for N-body type problems. Ann. Inst. H. Poincaré Anal. Non Linéaire 7 (1990), no. 5, pp. 477–492
DOI 10.1016/S0294-1449(16)30288-8