Morse theory and central configurations in the spatial \(N\)-body problem

DOI10.1007/S10884-008-9104-7zbMath1152.70009OpenAlexW1976670321MaRDI QIDQ937086

John Conrad Merkel

Publication date: 20 August 2008

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

Full work available at URL: https://doi.org/10.1007/s10884-008-9104-7

zbMATH Keywords

homologycollision manifoldscollinear manifoldsconfiguration ellipsoid

Mathematics Subject Classification ID

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

Related Items (5)

Bifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the \(N\)-body problem ⋮ The integral manifolds of the \(N\) body problem ⋮ Morse theory for \(S\)-balanced configurations in the Newtonian \(n\)-body problem ⋮ Fixed points and the inverse problem for central configurations ⋮ Planar \(N\)-body central configurations with a homogeneous potential

Cites Work

• Unnamed Item
• Central configurations of the N-body problem via equivariant Morse theory
• Topology of the integral manifolds of the \(N\)-body problem with positive energy
• On central configurations
• Planar central configuration estimates in the n-body problem
• Classifying relative equilibria. I
• Configuration Spaces.

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