Periodic orbits in the concentric circular restricted four-body problem and their invariant manifolds

DOI10.1016/j.physd.2012.03.008zbMath1387.70011OpenAlexW1988595360MaRDI QIDQ441811

Carlos Ocampo, Daniel Blazevski

Publication date: 8 August 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2012.03.008

zbMATH Keywords

periodic orbitsinvariant manifoldsresonancecelestial mechanics

Mathematics Subject Classification ID

Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Related Items (4)

Chaotic motions in the restricted four body problem via Devaney's saddle-focus homoclinic tangle theorem ⋮ Perturbation solutions to the nonlinear motion of displaced orbits ⋮ Stretching in phase space and applications in general nonautonomous multi-body problems ⋮ Chebyshev–Taylor Parameterization of Stable/Unstable Manifolds for Periodic Orbits: Implementation and Applications

Cites Work

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• Dynamical properties of the restricted four-body problem with radiation pressure
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Ejection-collision orbits and invariant punctured tori in a restricted four-body problem
• Study of the transfer from the Earth to a halo orbit around the equilibrium point \(L_ 1\)
• Periodic orbits and bifurcations in the Sitnikov four-body problem
• BIFURCATIONS FROM PLANAR TO THREE-DIMENSIONAL PERIODIC ORBITS IN THE PHOTO-GRAVITATIONAL RESTRICTED FOUR-BODY PROBLEM
• Periodic orbits in the restricted four-body problem
• Solar System Dynamics
• Low Energy Transit Orbits in the Restricted Three-Body Problems

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