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
Serra, E., Terracini, S. (1992). Collisionless periodic solutions to some three-body problems. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 120(4), 305-325 [10.1007/BF00380317].
Collisionless periodic solutions to some three-body problems
Terracini, S.
1992
Abstract
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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