Symmetric periodic orbits in the anisotropic Schwarzschild-type problem

DOI10.1007/s10569-004-1721-9zbMath1149.70312OpenAlexW2037834521MaRDI QIDQ815658

Michael Barbosu, Vasile Mioc, Mira-Cristiana Anisiu

Publication date: 20 February 2006

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-004-1721-9

zbMATH Keywords

periodic orbitsvariational methodssymmetriesnonlinear particle dynamicsSchwarzschild-type problems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Two-body problems (70F05) Celestial mechanics (70F15)

Related Items

Periodic Solutions, KAM Tori, and Bifurcations in the Planar Anisotropic Schwarzschild-Type Problem, Dynamics in the Schwarzschild isosceles three body problem

Cites Work

• Unnamed Item
• Unnamed Item
• The principle of symmetric criticality
• Forced oscillations of singular dynamical systems with an application to the restricted three body problem
• Triple collision in the collinear three-body problem
• Collision orbits in the anisotropic Kepler problem
• The Schwarzschild problem in astrophysics
• The anisotropic Schwarzschild-type problem, main features
• On the global dynamics of the anisotropic Manev problem
• Near-collision dynamics for particle systems with quasihomogeneous potentials
• A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
• Qualitative analysis of the anisotropic Kepler problem
• Orbits in an anisotropic radiation field
• On the anisotropic Manev problem
• Symmetric periodic solutions of the anisotropic Manev problem
• Possible effects of anisotropy ofG on celestial orbits
• A remarkable periodic solution of the three-body problem in the case of equal masses
• Nonintegrability and chaos in the anisotropic Manev problem