dc.contributor.author | Chicone, Carmen Charles | eng |

dc.contributor.author | Mashhoon, Bahram | eng |

dc.contributor.author | Retzloff, David G. | eng |

dc.date.issued | 1999-12 | eng |

dc.description | http://arxiv.org/abs/gr-qc/9912015 | eng |

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. | eng |

dc.description.sponsorship | The work of the first author was supported by the NSF grant DMS-9531811 and the University of Missouri Research Board. | eng |

dc.identifier.citation | arXiv:gr-qc/9912015v1 | eng |

dc.identifier.uri | http://hdl.handle.net/10355/8604 | eng |

dc.publisher | arXiv | eng |

dc.relation.ispartof | Mathematics publications (MU) | eng |

dc.relation.ispartofcommunity | University of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics. | eng |

dc.subject | close binaries | eng |

dc.subject | gravitational radiation | eng |

dc.subject | chaotic motions | eng |

dc.subject | relativistic effects | eng |

dc.subject.lcsh | Gravitational waves | eng |

dc.subject.lcsh | Celestial mechanics | eng |

dc.subject.lcsh | Chaotic behavior in systems | eng |

dc.title | Chaos in the Hill system | eng |

dc.type | Article | eng |