COLLISIONLESS PERIODIC-SOLUTIONS TO SOME 3-BODY PROBLEMS

COLLISIONLESS PERIODIC-SOLUTIONS TO SOME 3-BODY PROBLEMS

We provide sufficient conditions for the existence of periodic solutions to some three-body problems. Periodic solutions are found as minima of the associated action integral and are shown to be free of double and triple collisions.

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Veröffentlicht in:Archive for rational mechanics and analysis 1992-01, Vol.120 (4), p.305-325
Hauptverfasser: SERRA, E, TERRACINI, S
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics, Applied
Mechanics
Physical Sciences
Science & Technology
Technology
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:We provide sufficient conditions for the existence of periodic solutions to some three-body problems. Periodic solutions are found as minima of the associated action integral and are shown to be free of double and triple collisions.
ISSN:0003-9527
1432-0673
DOI:10.1007/BF00380317