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Chaos in the Hill system

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[-] show simple item record Chicone, Carmen Charles Mashhoon, Bahram Retzloff, David 2010-09-27T16:23:14Z 2010-09-27T16:23:14Z 1999-12 eng
dc.identifier.citation arXiv:gr-qc/9912015v1 en_US
dc.description en_US
dc.description.abstract We 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.sponsorship The work of the first author was supported by the NSF grant DMS-9531811 and the University of Missouri Research Board. en_US
dc.language.iso en_US en_US
dc.publisher arXiv en_US
dc.relation.ispartof Mathematics publications (MU) en
dc.subject close binaries en_US
dc.subject gravitational radiation en_US
dc.subject chaotic motions en_US
dc.subject relativistic effects en_US
dc.subject.lcsh Gravitational waves en_US
dc.subject.lcsh Celestial mechanics en_US
dc.subject.lcsh Chaotic behavior in systems en_US
dc.title Chaos in the Hill system en_US
dc.type Article en_US
dc.relation.ispartofcommunity University of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics.

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