C. Chicone et al., EVOLUTIONARY DYNAMICS WHILE TRAPPED IN RESONANCE - A KEPLERIAN BINARY-SYSTEM PERTURBED BY GRAVITATIONAL-RADIATION, Classical and quantum gravity, 14(7), 1997, pp. 1831-1850
The method of averaging is used to investigate the phenomenon of captu
re into resonance for a model that describes a Keplerian binary system
influenced by radiation damping and external normally incident period
ic gravitational radiation. The dynamical evolution of the binary orbi
t while trapped in resonance is elucidated using a second-order partia
lly averaged system. This method provides a theoretical framework whic
h can be used to explain the main evolutionary dynamics of a physical
system that has been trapped in resonance.