Regularization of Simultaneous Binary Collisions in Some Gravitational Systems

Persistent Link:
http://hdl.handle.net/10150/194380
Title:
Regularization of Simultaneous Binary Collisions in Some Gravitational Systems
Author:
Punosevac, Predrag
Issue Date:
2007
Publisher:
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:
text; Electronic Dissertation
Keywords:
Mathematics
Degree Name:
PhD
Degree Level:
doctoral
Degree Program:
Mathematics; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Wang, Qiu-dong
Committee Chair:
Wang, Qiu-dong

Full metadata record

DC FieldValue Language
dc.language.isoENen_US
dc.titleRegularization of Simultaneous Binary Collisions in Some Gravitational Systemsen_US
dc.creatorPunosevac, Predragen_US
dc.contributor.authorPunosevac, Predragen_US
dc.date.issued2007en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © 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.en_US
dc.description.abstractThe 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.en_US
dc.typetexten_US
dc.typeElectronic Dissertationen_US
dc.subjectMathematicsen_US
thesis.degree.namePhDen_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorWang, Qiu-dongen_US
dc.contributor.chairWang, Qiu-dongen_US
dc.contributor.committeememberErcolani, Nicholasen_US
dc.contributor.committeememberCushing, Jimen_US
dc.contributor.committeememberHu, Yien_US
dc.identifier.proquest2051en_US
dc.identifier.oclc659747131en_US
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