We prove a double variational characterization of the set of all the periodic solutions of the Kepler problem. We provide a sufficient condition for the existence of a periodic solution with prescribed period or energy for autonomous second-order differential systems with Keplerian-type potentials. The proofs are based on linking arguments. © 1995 by Academic Press, Inc.
Ramos, M., Terracini, S. (1995). Noncollision Periodic Solutions to Some Singular Dynamical Systems with Very Weak Forces. JOURNAL OF DIFFERENTIAL EQUATIONS, 118(1), 121-152 [10.1006/jdeq.1995.1069].
Noncollision Periodic Solutions to Some Singular Dynamical Systems with Very Weak Forces
TERRACINI, SUSANNA
1995
Abstract
We prove a double variational characterization of the set of all the periodic solutions of the Kepler problem. We provide a sufficient condition for the existence of a periodic solution with prescribed period or energy for autonomous second-order differential systems with Keplerian-type potentials. The proofs are based on linking arguments. © 1995 by Academic Press, Inc.
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