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Rotopulsating orbits of the curved N-body problem

In the 3-dimensional curved N-body problem, the new concept of rotopulsating orbits is defined. This type of solution is used when the bodies rotate and change size during the motion. Considering the possibility of having these bodies in spaces of positive or negative curvature, it is feasible to use the following classification: positive elliptic, positive elliptic-elliptic, negative elliptic, negative hyperbolic, and negative elliptic-hyperbolic. The necessary and sufficient criteria for the existence of rotopulsators are provided. Results will be obtained that describe their qualitative behavior, which will then be applied to find examples for each type of rotopulsating orbits. / Graduate / 0280 / shimak@uvic.ca

Identiferoai:union.ndltd.org:uvic.ca/oai:dspace.library.uvic.ca:1828/4667
Date27 June 2013
CreatorsKordlou, Shima
ContributorsDiacu, Florin
Source SetsUniversity of Victoria
LanguageEnglish, English
Detected LanguageEnglish
TypeThesis
RightsAvailable to the World Wide Web

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