Symmetric periodic solutions of the anisotropic Manev problem

DOI10.1063/1.1469670zbMath1059.70010arXivnlin/0201018OpenAlexW3100863463MaRDI QIDQ4832656

Manuele Santoprete

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0201018

Mathematics Subject Classification ID

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

Related Items (12)

Infinitely many periodic orbits for the rhomboidal five-body problem ⋮ On the global dynamics of the anisotropic Manev problem ⋮ Symmetric periodic orbits for the collinear charged 3-body problem ⋮ Unnamed Item ⋮ First kind symmetric periodic solutions and their stability for the Kepler problem and anisotropic Kepler problem plus generalized anisotropic perturbation ⋮ Stability in a rhomboidal 5-body problem with generalized central forces ⋮ The symmetric periodic orbits for the two-electron atom ⋮ On the periodic structure of the anisotropic Manev problem ⋮ Periodic Orbits of the Anisotropic Kepler Problem with Quasihomogeneous Potentials ⋮ New families of symmetric periodic solutions of the spatial anisotropic Manev problem ⋮ The Kepler problem with anisotropic perturbations ⋮ Symmetric periodic orbits in the anisotropic Schwarzschild-type problem

Cites Work

• Stability and bifurcations of symmetric periodic orbits
• A new proof of a theorem of J. Moser concerning the restricted problem of three bodies
• On the anisotropic Manev problem
• Nonintegrability and chaos in the anisotropic Manev problem
• Periodic solutions for any planar symmetric perturbation of the Kepler problem

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