Multiple closed orbits for perturbed Keplerian problems

DOI10.1016/0022-0396(92)90155-GzbMath0759.34033OpenAlexW2004446670MaRDI QIDQ1188249

Antonio Ambrosetti, Ugo Bessi

Publication date: 13 August 1992

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(92)90155-g

zbMATH Keywords

Lagrangian systemKepler type problemsperiodic, noncollision solutionsrestricted \(N\)-body problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (7)

Multiple brake orbits for some classes of singular Hamiltonian systems ⋮ Critical points and nonlinear variational problems ⋮ Periodic solutions of prescribed energy for a class of symmetric singular dynamical systems ⋮ The G-equivariant cusp and fold in Banach spaces ⋮ Uniform bifurcation of comet-type periodic orbits in the restricted \((n + 1)\)-body problem with non-Newtonian homogeneous potential ⋮ Continuous symmetric perturbations of planar power law forces ⋮ Periodic solutions of symmetric perturbation of gravitational potentials

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• Stability of critical points under small perturbations. II: Analytic theory
• The G-invariant implicit function theorem in infinite dimensions
• Periodic solutions of a class of singular Hamiltonian systems
• Periodic solutions of the N-body problem

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