Hyperbolic Orbits for Restricted Three-body Problems with Fixed Energy

Abstract

The existence of hyperbolic orbits is proved for a class of restricted three-body problems with a fixed energy by taking limit for a sequence of periodic solutions which are obtained by variational methods.

arXiv commentarXiv admin note: text overlap with arXiv:1205.3891

References in corpus (2)

• Entire Parabolic Trajectories as Minimal Phase Transitions
• Hyperbolic Orbits for a Class of Singular Hamiltonian Systems with Repulsive Potentials