Proves existence of nontrivial periodic solutions in symmetric 3DOF Hamiltonian systems reduced to 2DOF via minimax on Maupertuis functional, with applications to three-body and Kepler problems.
Ghoussoub.Duality and perturbation methods in critical point theory
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A Minimax Approach to Relative Periodic Orbits in Symmetric Three-Degree-of-Freedom Hamiltonian Systems
Proves existence of nontrivial periodic solutions in symmetric 3DOF Hamiltonian systems reduced to 2DOF via minimax on Maupertuis functional, with applications to three-body and Kepler problems.