• 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 ...
  • Gravitational induction 

    Bini, D. (Donato); Cherubini, Christian; Chicone, Carmen Charles; Mashhoon, Bahram (Institute of Physics, 2008-10)
    We study the linear post-Newtonian approximation to general relativity known as gravitoelectromagnetism (GEM); in particular, we examine the similarities and differences between GEM and electrodynamics. Notwithstanding ...
  • 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 ...
  • Significance of c /sqrt2 in relativistic physics 

    Chicone, Carmen Charles; Mashhoon, Bahram (American Institute of Physics, 2004-11)
    In the description of relative motion in accelerated systems and gravitational fields, inertial and tidal accelerations must be taken into account, respectively. These involve a critical speed that in the first approximation ...
  • 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 ...
  • Tidal acceleration of ultrarelativistic particles 

    Chicone, Carmen Charles; Mashhoon, Bahram (EDP Sciences, 2005-05)
    We investigate the motion of free relativistic particles relative to the ambient medium around a gravitationally collapsed system. If the relative speed exceeds a critical value given by c/√2, the gravitational tidal ...
  • Tidal dynamics in Kerr spacetime 

    Chicone, Carmen Charles; Mashhoon, Bahram (Institute of Physics, 2006-05)
    The motion of free nearby test particles relative to a stable equatorial circular geodesic orbit about a Kerr source is investigated. It is shown that the nonlinear generalized Jacobi equation can be transformed in this ...
  • Ultrarelativistic motion: inertial and tidal effects in Fermi coordinates 

    Chicone, Carmen Charles; Mashhoon, Bahram (Institute of Physics, 2004-12)
    Fermi coordinates are the natural generalization of inertial Cartesian coordinates to accelerated systems and gravitational fields. We study themotion of ultrarelativistic particles and light rays in Fermi coordinates ...