Faster computation of adiabatic EMRIs using resonances

TL;DR

This paper introduces a method leveraging resonant orbits to significantly reduce the computational effort in modeling adiabatic extreme mass ratio inspirals and clarifies the correct averaging approach for these calculations.

Contribution

It demonstrates how resonant orbits can be used to accelerate adiabatic EMRI computations and resolves a debate on averaging prescriptions by advocating for torus averaging.

Findings

Resonant orbits can speed up EMRI calculations.

Torus averaging is the preferred method over time averaging.

The approach reduces computational costs for gravitational wave modeling.

Abstract

Motivated by the prohibitive computational cost of producing adiabatic extreme mass ratio inspirals, we explain how a judicious use of resonant orbits can dramatically expedite both that calculation and the generation of snapshot gravitational waves from geodesic sources. In the course of our argument, we clarify the resolution of a lingering debate on the appropriate adiabatic averaging prescription in favor of torus averaging over time averaging.