Triple collision in the quasi-homogeneous collinear three-body problem

DOI10.1006/JDEQ.1998.3453zbMath0927.70013OpenAlexW2085576172MaRDI QIDQ1268410

Ernesto Pérez-Chavela, Luz Vianey Vela-Arévalo

Publication date: 19 December 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3453

zbMATH Keywords

McGehee methodregularisation of singularity

Mathematics Subject Classification ID

Three-body problems (70F07) Collisions in celestial mechanics, regularization (70F16)

Related Items (14)

Quasi-homogeneous two-body problem ⋮ Finiteness of polygonal relative equilibria for generalised quasi-homogeneous \(n\)-body problems and \(n\)-body problems in spaces of constant curvature ⋮ Central configurations in the Schwarzschild three body problem ⋮ Comet- and Hill-type periodic orbits in restricted \((N+1)\)-body problems ⋮ Results on equality of masses for choreographic solutions of n-body problems ⋮ Dynamics in the Schwarzschild isosceles three body problem ⋮ Periodic orbits for anisotropic perturbations of the Kepler problem ⋮ Linear stability of relative equilibria in the charged three-body problem ⋮ Central configurations and total collisions for quasihomogeneous \(n\)-body problems ⋮ 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 ⋮ Lagrange-Pizzetti theorem for the quasihomogeneous N-body problem ⋮ The Kepler problem with anisotropic perturbations ⋮ Central configurations and homographic solutions for the quasihomogeneous N-body problem ⋮ Linear stability of the Lagrangian triangle solutions for quasihomogeneous potentials

Cites Work

• Von Zeipel's theorem on singularities in celestial mechanics
• Triple collision in the collinear three-body problem
• Near-collision dynamics for particle systems with quasihomogeneous potentials
• Singularities and collisions of Newtonian gravitational systems
• The global flow of the Manev problem

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