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dc.contributor.authorChicone, Carmen Charles
dc.contributor.authorMashhoon, Bahram
dc.contributor.authorRetzloff, David
dc.date.issued1999-12eng
dc.descriptionhttp://arxiv.org/abs/gr-qc/9912015en_US
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.en_US
dc.description.sponsorshipThe work of the first author was supported by the NSF grant DMS-9531811 and the University of Missouri Research Board.en_US
dc.identifier.citationarXiv:gr-qc/9912015v1en_US
dc.identifier.urihttp://hdl.handle.net/10355/8604
dc.publisherarXiven_US
dc.relation.ispartofMathematics publications (MU)en
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics.
dc.subjectclose binariesen_US
dc.subjectgravitational radiationen_US
dc.subjectchaotic motionsen_US
dc.subjectrelativistic effectsen_US
dc.subject.lcshGravitational wavesen_US
dc.subject.lcshCelestial mechanicsen_US
dc.subject.lcshChaotic behavior in systemsen_US
dc.titleChaos in the Hill systemen_US
dc.typeArticleen_US


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