Periodic orbits of the restricted three-body problem

DOI10.1090/S0002-9947-98-01731-0zbMath0897.34036OpenAlexW1834383495MaRDI QIDQ4382356

Salem Mathlouthi

Publication date: 30 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-01731-0

zbMATH Keywords

existenceperiodic solutionsbifurcationclosed orbitrestricted three-body problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23)

Related Items (8)

Nonplanar periodic solutions for spatial restricted 3-body and 4-body problems ⋮ The characterization of the variational minimizers for spatial restricted \(N+1\)-body problems ⋮ Periodic oscillations in the restricted hip-hop \(2N+1\)-body problem ⋮ Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body ⋮ Variational minimizing parabolic and hyperbolic orbits for the restricted 3-body problems ⋮ Quantitative Stability of Certain Families of Periodic Solutions in the Sitnikov Problem ⋮ Periodic orbits in the photogravitational restricted problem with the smaller primary an oblate body ⋮ Variational minimizing parabolic orbits for 2-fixed center problems

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• Stable and Random Motions in Dynamical Systems
• Morse index of some min-max critical points. I. Application to multiplicity results
• A Perturbation Method in Critical Point Theory and Applications

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