Simultaneous binary collisions in the collinear \(N\)-body problem

DOI10.1006/jdeq.1993.1028zbMath0776.70009OpenAlexW2043600820MaRDI QIDQ685786

Mohamed Sami ElBialy

Publication date: 18 October 1993

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

Full work available at URL: https://doi.org/10.1006/jdeq.1993.1028

zbMATH Keywords

singularitycollision manifoldreal analytic submanifold\(C^ 1\) block regularizationejection orbits

Mathematics Subject Classification ID

(n)-body problems (70F10) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (6)

Collective branch regularization of simultaneous binary collisions in the 3D 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 ⋮ On simultaneous binary collisions in the planar \(n\)-body problem

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