On gravitational waves from classical three body problem

TL;DR

This paper models gravitational waves emitted by classical three-body systems on a line, analyzing their physical features, irregular motions, and the potential for residual signals to reveal source dynamics.

Contribution

It introduces an effective one body approach to describe gravitational waves from collinear three-body systems, emphasizing irregular motions and collision effects.

Findings

Residuals can contain information about irregular motions.

Double and triple collisions significantly influence wave characteristics.

Collinear solutions play a conclusive role in the system's behavior.

Abstract

Using an effective one body approach we describe in detail gravitational waves from classical three body problem on a non-rotating straight line and derive their basic physical characteristics. Special attention is paid to the irregular motions of such systems and to the significance of double and triple collisions. The conclusive role of the collinear solutions is also discussed in short. It is shown that the residuals may contain information about irregular motion of the source of gravitational waves.