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

TL;DR

This paper uses averaging methods to analyze how a Keplerian binary system behaves when captured in resonance due to gravitational radiation damping and external periodic gravitational waves, providing insights into its orbital evolution.

Contribution

It introduces a second order partially averaged system to explain the resonance capture and orbital evolution in gravitationally perturbed binary systems.

Findings

Resonance capture significantly affects orbital dynamics.

The second order averaging method effectively models the evolution.

The framework explains physical phenomena in gravitationally influenced binaries.

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.