Regularization of simultaneous binary collisions in the \(n\)-body problem
type: Item
instance of: scholarly article
title: Regularization of simultaneous binary collisions in the \(n\)-body problem
zbMATH Open document ID: 0764.70011
DOI: 10.1016/0022-0396(92)90092-2
author: Carles Simó
author: Ernesto A. Lacomba
published in: Journal of Differential Equations
publication date: 1993-01-16T00:00:00Z
review text: In the classical \(n\)-body problem the simple binary collisions can always be regularized. The contribution of this paper is to show that several cases of simultaneous binary collision occurring in celestial mechanics are also regularizable. A detailed proof of the theorem is given.
Mathematics Subject Classification ID: 70F35
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 89289
zbMATH Keywords: celestial mechanics
reviewed by: Yan-Zhu Liu
MaRDI profile type: Publication
full work available at URL: 0022-0396(92)90092-2
OpenAlex ID: W2070526341
cites work: On simultaneous double collision in the collinear four-body problem
cites work: The topology of the regularized integral surfaces of the 3-body problem
cites work: A global regularisation of the gravitationalN-body problem
cites work: Q5516156
cites work: The manifold structure for collision and for hyperbolic-parabolic orbits in the n-body problem
cites work: Q4070368
description: scientific article; zbMATH DE number 89289