An improved numerical fit to the peak harmonic gravitational wave frequency emitted by an eccentric binary

TL;DR

This paper introduces a new numerical fit for the peak harmonic gravitational wave frequency emitted by eccentric binaries, enhancing accuracy over previous models especially for eccentricities below 0.8.

Contribution

A novel numerical fit for gravitational wave frequency from eccentric binaries that outperforms existing models for moderate eccentricities.

Findings

Improved fit accuracy for eccentricities less than 0.8

Enhanced reliability in population synthesis applications

Significantly better than previous models in key eccentricity range

Abstract

I present a numerical fit to the peak harmonic gravitational wave frequency emitted by an eccentric binary system in the post-Newtonian approximation. This fit significantly improves upon a previous commonly-used fit in population synthesis studies, in particular for eccentricities $\lesssim 0.8$.