Evolutionary Dynamics While Trapped in Resonance: A Keplerian Binary System Perturbed by Gravitational Radiation

Abstract

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 the second order partially averaged system. This method provides a theoretical framework that can be used to explain the main evolutionary dynamics of a physical system that has been trapped in resonance.

REVTEX Style, Submitted

References in corpus (3)

• Orbital Decay of the PSR J0045-7319/B Star Binary System: Age of Radio Pulsar and Initial Spin of Neutron Star
• Gravitational Ionization: A Chaotic Net in the Kepler System
• On the Ionization of a Keplerian Binary System by Periodic Gravitational Radiation

Cited by in corpus (9)

• Delay Equations and Radiation Damping
• Dynamical Friction and Resonance Trapping in Planetary Systems
• Gravitational Radiation Damping and the Three-Body Problem
• Chaos in the Kepler System
• Sustained resonance: a binary system perturbed by gravitational radiation
• Partial Averaging and Resonance Trapping in a Restricted Three-Body System
• Partial Averaging Near a Resonance in Planetary Dynamics
• Resonance Behavior and Partial Averaging in a Three-Body System with Gravitational Radiation Damping
• Resonant Locking Between Binary Systems Induced by Gravitational Waves