Regularization of simultaneous binary collisions in the \(n\)-body problem

DOI10.1016/0022-0396(92)90092-2zbMath0764.70011OpenAlexW2070526341MaRDI QIDQ1196636

Carles Simó, Ernesto A. Lacomba

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1016/0022-0396(92)90092-2

zbMATH Keywords

celestial mechanics

Mathematics Subject Classification ID

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

Related Items (9)

Some questions looking for answers in dynamical systems ⋮ Collective branch regularization of simultaneous binary collisions in the 3D N-body problem ⋮ Connecting planar linear chains in the spatial \(N\)-body problem ⋮ Some qualitative features of the isosceles trapezoidal four-body problem ⋮ The flow of the \(N\)-body problem near a simultaneous-binary-collision singularity and integrals of motion on the collision manifold ⋮ The Broucke–Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses ⋮ 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 ⋮ A family of symmetrical Schubart-like interplay orbits and their stability in the one-dimensional four-body problem

Cites Work

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• The manifold structure for collision and for hyperbolic-parabolic orbits in the n-body problem
• On simultaneous double collision in the collinear four-body problem
• The topology of the regularized integral surfaces of the 3-body problem
• A global regularisation of the gravitationalN-body problem

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