Symmetric periodic solutions for the spatial Maxwell restricted \(N+1\)-problem with Manev potential

DOI10.1007/s12346-021-00462-0zbMath1476.70034OpenAlexW3138981100MaRDI QIDQ830154

Claudio Vidal, Mauricio Ascencio

Publication date: 7 May 2021

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-021-00462-0

zbMATH Keywords

symmetriessymmetric periodic solutionsspatial Manev restricted \((N+1)\)-body problem

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (2)

Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential ⋮ Stability, periodic solution and KAM tori in the circular restricted \((N+1)\)-body problem on \({\mathbb{S}}^3\) and \({\mathbb{H}}^3\)

Cites Work

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• Periodic solutions of symmetric Kepler perturbations and applications
• Geometric Averaging of Hamiltonian Systems: Periodic Solutions, Stability, and KAM Tori
• New families of symmetric periodic solutions of the spatial anisotropic Manev problem
• Periodic solutions of the N-body problem

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