Periodic solutions with prescribed energy for some Keplerian N-body problems

Antonio Ambrosetti; Kazunaga Tanaka; Enzo Vitillaro

doi:10.1016/s0294-1449(16)30170-6

JournalsaihpcVol. 11, No. 6pp. 613–632

Periodic solutions with prescribed energy for some Keplerian N-body problems

Antonio Ambrosetti
Scuola Normale Superiore, Piazza dei Cavalieri, 56100 Pisa, Italy
Kazunaga Tanaka
Scuola Normale Superiore, Piazza dei Cavalieri, 56100 Pisa, Italy
Enzo Vitillaro
Dipartimento di Matematica, Università di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy

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Abstract

We prove the existence of periodic solutions with prescribed energy for a class of $N$ -body type problems with Keplerian like interaction.

Résumé

Nous prouvons l’existence de solutions périodiques d’énergie prescrite pour une classe de problèmes à $N$ corps avec interaction de type képlérien.

Cite this article

Antonio Ambrosetti, Kazunaga Tanaka, Enzo Vitillaro, Periodic solutions with prescribed energy for some Keplerian N-body problems . Ann. Inst. H. Poincaré Anal. Non Linéaire 11 (1994), no. 6, pp. 613–632

DOI 10.1016/S0294-1449(16)30170-6