Regularization of simultaneous binary collisions in the n-body problem

In the n-body problem a collision singularity occurs when the positions of two or more bodies tend to coincide. It is well known that binary collisions can be regularized and collisions of three or more bodies cannot be regularized, unless we restrict the study to some simple class of problem. In th...

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Bibliographic Details
Published inJournal of Differential Equations Vol. 98; no. 2; pp. 241 - 259
Main Authors Simó, Carles, Lacomba, Ernesto A
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 01.08.1992
Academic Press
Subjects
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Physics
N body problem
Binary collision
Simultaneity
Regularization
Celestial mechanics
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Summary:In the n-body problem a collision singularity occurs when the positions of two or more bodies tend to coincide. It is well known that binary collisions can be regularized and collisions of three or more bodies cannot be regularized, unless we restrict the study to some simple class of problem. In this paper we show that the remaining case, that is, several binary collisions occurring simultaneously, is also regularizable.
ISSN:0022-0396
1090-2732
DOI:10.1016/0022-0396(92)90092-2