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