Motion and gravitational radiation of a binary system consisting of an oscillating and rotating coplanar dusty disk and a point-like object

TL;DR

This paper models the dynamics and gravitational wave emission of a binary system with an oscillating, rotating dusty disk and a point mass, analyzing tidal resonances and radiation effects at Newtonian and quadrupole levels.

Contribution

It introduces a semi-analytical approach to study the coupled effects of tidal interactions and gravitational radiation in such binary systems.

Findings

Waveforms of gravitational radiation are provided.

Tidal resonance effects are analyzed with radiation damping.

System evolution is characterized semi-analytically.

Abstract

A binary system composed of an oscillating and rotating coplanar dusty disk and a point mass is considered. The conservative dynamics is treated on the Newtonian level. The effects of gravitational radiation reaction and wave emission are studied to leading quadrupole order. The related waveforms are given. The dynamical evolution of the system is determined semi-analytically exploiting the Hamiltonian equations of motion which comprise the effects both of the Newtonian tidal interaction and the radiation reaction on the motion of the binary system in elliptic orbits. Tidal resonance effects between orbital and oscillatory motions are considered in the presence of radiation damping.