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dc.contributor.authorChicone, Carmen Charleseng
dc.contributor.authorMashhoon, Bahrameng
dc.contributor.authorRetzloff, David G.eng
dc.date.issued1999-12eng
dc.descriptionhttp://arxiv.org/abs/gr-qc/9912015eng
dc.description.abstractWe define the general Hill system and briefly analyze its dynamical behavior. A particular Hill system representing the interaction of a Keplerian binary system with a normally incident circularly polarized gravitational wave is discussed in detail. In this case, we compute the Poincar\'e-Melnikov function explicitly and determine its zeros. Moreover, we provide numerical evidence in favor of chaos in this system. The partially averaged equations for the Hill system are used to predict the regular behavior of the Keplerian orbit at resonance with the external radiation.eng
dc.description.sponsorshipThe work of the first author was supported by the NSF grant DMS-9531811 and the University of Missouri Research Board.eng
dc.identifier.citationarXiv:gr-qc/9912015v1eng
dc.identifier.urihttp://hdl.handle.net/10355/8604eng
dc.publisherarXiveng
dc.relation.ispartofMathematics publications (MU)eng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics.eng
dc.subjectclose binarieseng
dc.subjectgravitational radiationeng
dc.subjectchaotic motionseng
dc.subjectrelativistic effectseng
dc.subject.lcshGravitational waveseng
dc.subject.lcshCelestial mechanicseng
dc.subject.lcshChaotic behavior in systemseng
dc.titleChaos in the Hill systemeng
dc.typeArticleeng


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