On the anisotropic Manev problem

DOI10.1063/1.532807zbMath0948.70011OpenAlexW2015562687MaRDI QIDQ4701793

Unnamed Author, Scott Craig, Florin Nicolae Diacu, Ernesto A. Lacomba

Publication date: 21 November 1999

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

Full work available at URL: http://hdl.handle.net/1828/2825

zbMATH Keywords

phase spacecollision manifoldMcGehee coordinatesManev potentialanisotropic spaceinfinity manifoldcollision singularitycapture-collision solutionsejection-escape solutionsoscillatory collision

Mathematics Subject Classification ID

Two-body problems (70F05) Collisions in celestial mechanics, regularization (70F16)

Related Items (24)

Symmetries in the two-body problem associated to quasi-homogeneous potentials ⋮ On the global dynamics of the anisotropic Manev problem ⋮ Collision and escape orbits in a generalized Hénon-Heiles model ⋮ Symmetric periodic solutions of the anisotropic Manev problem ⋮ Satellite motion in a Manev potential with drag ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Results on equality of masses for choreographic solutions of n-body problems ⋮ Periodic orbits for anisotropic perturbations of the Kepler problem ⋮ Qualitative analysis of the anisotropic two-body problem with relativistic potential ⋮ The eccentric frame decomposition of central force fields ⋮ Stability in a rhomboidal 5-body problem with generalized central forces ⋮ ON THE ANISOTROPIC POTENTIALS OF MANEV–SCHWARZSCHILD TYPE ⋮ Periodic orbits of the planar anisotropic Manev problem and of the perturbed hydrogen atom problem ⋮ On the periodic structure of the anisotropic Manev problem ⋮ Periodic Orbits of the Anisotropic Kepler Problem with Quasihomogeneous Potentials ⋮ Differentiable invariant manifolds of nilpotent parabolic points ⋮ A simple family of exceptional maps with chaotic behavior ⋮ New families of symmetric periodic solutions of the spatial anisotropic Manev problem ⋮ Existence of a lower bound for the distance between point masses of relative equilibria for generalised quasi-homogeneous n-body problems and the curved n-body problem ⋮ The Kepler problem with anisotropic perturbations ⋮ Stable curves asymptotic to a degenerate fixed point ⋮ Periodic orbits of the spatial anisotropic Manev problem ⋮ Symmetric periodic orbits in the anisotropic Schwarzschild-type problem

Cites Work

• Triple collision in the collinear three-body problem
• Collision orbits in the anisotropic Kepler problem
• Near-collision dynamics for particle systems with quasihomogeneous potentials
• Invariant manifolds for a class of parabolic points
• The global flow of the Manev problem

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