Regularization of Simultaneous Binary Collisions in Some Gravitational Systems
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azu_etd_2051_sip1_m.pdf
Issue Date
2007Keywords
MathematicsAdvisor
Wang, Qiu-dongCommittee Chair
Wang, Qiu-dongMetadata
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The University of Arizona.Rights
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.Abstract
The aim of this study is to construct coordinate transforms that regularize the singularities of simultaneous binary collisions in the Newtonian gravitational systems. Explicit regularization transforms are introduced for a pair of decoupled Kepler problems, a restricted collinear four-body problem, and the collinear four-body problem. This is the first time such transforms are produced for collisions involving more than one colliding pairs in the study of the Newtonian gravitational systems.Type
textElectronic Dissertation
Degree Name
PhDDegree Level
doctoralDegree Program
MathematicsGraduate College