Browsing Department of Mathematics (MU) by Author "Chicone, Carmen Charles"
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Chaos in the Kepler system
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David (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 ... 
Evolutionary dynamics while trapped in resonance: a Keplerian binary system perturbed by gravitational radiation
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David (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 (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 ...