Evolutionary dynamics while trapped in resonance: a Keplerian binary system perturbed by gravitational radiation
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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 radiation. The dynamical evolution of the binary orbit while trapped in resonance is elucidated using a second-order partially averaged system. This method provides a theoretical framework which can be used to explain the main evolutionary dynamics of a physical system that has been trapped in resonance.
C Chicone et al 1997 Class. Quantum Grav. 14 1831