Central configurations and total collisions for quasihomogeneous \(n\)-body problems

DOI10.1016/j.na.2005.10.023zbMath1098.70012arXiv0909.4989OpenAlexW2116073350MaRDI QIDQ2498799

Ernesto Pérez-Chavela, Manuele Santoprete, Florin Nicolae Diacu

Publication date: 16 August 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4989

zbMATH Keywords

relative equilibriahomothetic solutionsgeneralized Moulton theorem

Mathematics Subject Classification ID

(n)-body problems (70F10) Collisions in celestial mechanics, regularization (70F16)

Related Items (12)

Finiteness of polygonal relative equilibria for generalised quasi-homogeneous \(n\)-body problems and \(n\)-body problems in spaces of constant curvature ⋮ Comet- and Hill-type periodic orbits in restricted \((N+1)\)-body problems ⋮ On the central configurations of the n-body problem ⋮ Results on equality of masses for choreographic solutions of n-body problems ⋮ Dynamics in the Schwarzschild isosceles three body problem ⋮ Linear instability of relative equilibria for \(n\)-body problems in the plane ⋮ Collinear central configurations in the n-body problem with general homogeneous potential ⋮ Circular non-collision orbits for a large class of \(n\)-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 ⋮ Super central configurations of the three-body problem under the inverse integer power law ⋮ Lagrange-Pizzetti theorem for the quasihomogeneous N-body problem ⋮ Central configurations and homographic solutions for the quasihomogeneous N-body problem

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• Near-collision dynamics for particle systems with quasihomogeneous potentials
• On the role and the properties ofn body central configurations
• Saari’s conjecture for the collinear $n$-body problem
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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