Collision Singularities in Celestial Mechanics

DOI10.1137/0521086zbMath0709.70007OpenAlexW2028435128MaRDI QIDQ3493484

Mohamed Sami ElBialy

Publication date: 1990

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0521086

zbMATH Keywords

collision manifoldcollision orbitsn-body problemclusters of particlesgeneral collision singularity

Mathematics Subject Classification ID

(n)-body problems (70F10) Collision of rigid or pseudo-rigid bodies (70F35) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (12)

Compactification of the energy surfaces for \(n\) bodies ⋮ Revisiting the Kepler problem with linear drag using the blowup method and normal form theory ⋮ Collective branch regularization of simultaneous binary collisions in the 3D N-body problem ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Removing collision singularities from action minimizers for the \(N\)-body problem with free boundaries ⋮ Action-minimizing solutions of the one-dimensional \(N\)-body problem ⋮ The flow of the \(N\)-body problem near a simultaneous-binary-collision singularity and integrals of motion on the collision manifold ⋮ On the \(C^{8/3}\)-regularisation of simultaneous binary collisions in the collinear 4-body problem ⋮ On the C ^8/3-regularisation of simultaneous binary collisions in the planar four-body problem ⋮ Regularisation for Planar vector fields ⋮ Equilateral chains and cyclic central configurations of the planar five-body problem ⋮ On simultaneous binary collisions in the planar \(n\)-body problem

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