# Analytic Keplerian-type parametrization for general spinning compact binaries with the leading order spin-orbit interaction

## TL;DR

This paper presents an analytic Keplerian-type parametrization for the conservative motion of spinning compact binaries, enabling efficient and accurate waveform computation for gravitational wave analysis.

## Contribution

It introduces a fully analytic solution for spinning binary dynamics at leading order in spin and post-Newtonian approximation, applicable to arbitrary eccentricities and mass ratios.

## Key findings

- Provides a high-accuracy waveform computation method.
- Describes three-dimensional binary motion with arbitrary parameters.
- Offers a solution valid up to linear order in spin and leading PN order.

## Abstract

We derive a fully analytic Keplerian-type parametrization solution to conservative motion of spinning binary in ADM gauge. This solution is able to describe three dimensional motion of binaries of arbitrary eccentricity, mass ratio and initial configuration of spin angular momentum up to the leading order of post-Newtonian(PN) approximation and a linear order in spin. Based on our results waveforms can be quickly computed with high accuracy.