Regularization of partial collisions in the \(N\)-body problem
type: Item
instance of: scholarly article
title: Regularization of partial collisions in the \(N\)-body problem
zbMATH Open document ID: 0764.70010
author: Florin Diacu
published in: Differential and Integral Equations
publication date: 1993-01-16T00:00:00Z
review text: A simultaneous collision in the \(N\)-body system is studied. By suitable coordinate and time transformations, the equations of motion are regularized relative to the \(n\)-collision (\(2\leq n\leq N\)). A qualitative study is performed and some asymptotic results concerning the ultimate behavior of the partial collapse solutions tending to the set of central configurations are obtained. It is proved that a certain set of equilibrium points is attractive for the partial collision orbits of motion, and that the sufficiently hyperbolic partial collapse solutions can be \(C^ 1\)-regularized with respect to the new time variable.
Mathematics Subject Classification ID: 70F35
Mathematics Subject Classification ID: 70F10
Mathematics Subject Classification ID: 70F15
zbMATH DE Number: 90478
zbMATH Keywords: coordinate and time transformations
zbMATH Keywords: asymptotic results
zbMATH Keywords: equilibrium points
zbMATH Keywords: hyperbolic partial collapse solutions
reviewed by: Yan-Zhu Liu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 90478