Browsing Department of Mathematics (MU) by Author "Chicone, Carmen Charles"
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Addendum: On the ionization of a Keplerian binary system by periodic gravitational radiation [J. Math. Phys. 37, 39974016 (1996)]
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (American Institute of Physics, 199609)Addendum: On the ionization of a Keplerian binary system by periodic gravitational radiation [J. Math. Phys. 37, 39974016 (1996)] 
Chaos in the Hill system
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (arXiv, 199912)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, 199902)The longterm 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 ... 
Delay equations and radiation damping
Chicone, Carmen Charles; Kopeikin, Sergei M.; Mashhoon, Bahram; Retzloff, David G. (arXiv, 200105)Starting from delay equations that model field retardation effects, we study the origin of runawaymodes that appear in the solutions of the classical equations of motion involving the radiation reaction force. When retardation ... 
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, 199707)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 ionization: a chaotic net in the Kepler system
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (American Institute of Physics, 199703)The longterm 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, 199508)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, 199605)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, 200001)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 ...