29 citations · 97 across the 6 of their papers we have counts for
6 papers
Delay Equations and Radiation Damping
C. Chicone, S. M. Kopeikin, B. Mashhoon +1
Starting from delay equations that model field retardation effects, we study the origin of runaway modes that appear in the solutions of the classical equations of motion involving…
Chaos in the Hill system
C. Chicone, B. Mashhoon, D. G. Retzloff
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 inc…
Chaos in the Kepler System
C. Chicone, B. Mashhoon, D. G. Retzloff
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…
Evolutionary Dynamics While Trapped in Resonance: A Keplerian Binary System Perturbed by Gravitational Radiation
Carmen Chicone, Bahram Mashhoon, David Retzloff
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 ext…
Gravitational Ionization: A Chaotic Net in the Kepler System
Carmen Chicone, Bahram Mashhoon, David Retzloff
The long term nonlinear dynamics of a Keplerian binary system under the combined influences of gravitational radiation damping and external tidal perturbations is analyzed. Gravita…
On the Ionization of a Keplerian Binary System by Periodic Gravitational Radiation
Carmen Chicone, Bahram Mashhoon, David Retzloff
The gravitational ionization of a Keplerian binary system via normally incident periodic gravitational radiation of definite helicity is discussed. The periodic orbits of the plana…