The planar isosceles problem for Maneff’s gravitational law

DOI10.1063/1.530277zbMath0815.70011OpenAlexW1981985881MaRDI QIDQ4276788

Florin Nicolae Diacu

Publication date: 10 February 1994

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

Full work available at URL: http://hdl.handle.net/1828/1749

zbMATH Keywords

equilibriumhelium atomcenter manifoldblock-regularizationsub- critical bifurcation

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15)

Related Items (8)

Finiteness of polygonal relative equilibria for generalised quasi-homogeneous \(n\)-body problems and \(n\)-body problems in spaces of constant curvature ⋮ The global flow of the Manev problem ⋮ Total collision in a four-body problem with Jacobi potential ⋮ Existence of hyperbolic motions to a class of Hamiltonians and generalized \(N\)-body system via a geometric approach ⋮ Results on equality of masses for choreographic solutions of n-body problems ⋮ Periodic orbits of the planar anisotropic Manev problem and of the perturbed hydrogen atom 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 ⋮ Linear stability of the Lagrangian triangle solutions for quasihomogeneous potentials

Cites Work

• Tame and chaotic behavior in the planar isosceles 3-body problem
• Triple collision in the collinear three-body problem
• Collision orbits in the anisotropic Kepler problem
• Regularization of vector fields by surgery
• A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
• The masses in an isosceles solution of the three-body problem
• Invariant manifolds for a class of parabolic points
• Motion near total collapse in the planar isosceles three-body problem

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