• 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 ...