• Chaos in the Hill system 

    Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (arXiv, 1999-12)
    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 ...
  • Chaos in the Kepler system 

    Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (American Institute of Physics, 1999-02)
    The long-term dynamical evolution of a Keplerian binary orbit due to the emission and absorption of gravitational radiation is investigated. This work extends our previous results on transient chaos in the planar case to ...
  • Evolutionary dynamics while trapped in resonance: a Keplerian binary system perturbed by gravitational radiation 

    Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (American Institute of Physics, 1997-07)
    The method of averaging is used to investigate the phenomenon of capture into resonance for a model that describes a Keplerian binary system influenced by radiation damping and external normally incident periodic gravitational ...
  • The generalized Jacobi equation 

    Chicone, Carmen Charles; Mashhoon, Bahram (American Institute of Physics, 2002-07)
    The Jacobi equation in pseudo-Riemannian geometry determines the linearized geodesic flow. The linearization ignores the relative velocity of the geodesics. The generalized Jacobi equation takes the relative velocity into ...
  • Gravitational ionization: a chaotic net in the Kepler system 

    Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (American Institute of Physics, 1997-03)
    The long-term nonlinear dynamics of a Keplerian binary system under the combined influences of gravitational radiation damping and external tidal perturbations is analysed. Gravitational radiation reaction leads the binary ...
  • Gravitational ionization: periodic orbits of binary systems perturbed by gravitational radiation. 

    Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (arXiv, 1995-08)
    The long term perturbation of a Newtonian binary system by an incident gravitational wave is discussed in connection with the issue of gravitational ionization. The periodic orbits of the planar tidal equation are investigated ...
  • On the ionization of a Keplerian binary system by periodic gravitational radiation 

    Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (American Institute of Physics, 1996-05)
    The gravitational ionization of a Keplerian binary system via normally incident periodic gravitational radiation of definite helicity is discussed. The periodic orbits of the planar tidal equation are investigated on the ...
  • Sustained resonance: a binary system perturbed by gravitational radiation 

    Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (American Institute of Physics, 2000-01)
    The general phenomena associated with sustained resonance are studied in this paper in connection with relativistic binary pulsars. We represent such a system by two point masses in a Keplerian binary system that evolves ...