Motion and gravitational wave forms of eccentric compact binaries with orbital-angular-momentum-aligned spins under next-to-leading order in spin-orbit and leading order in spin(1)-spin(2) and spin-squared couplings

TL;DR

This paper derives a detailed analytical model for the motion and gravitational waveforms of eccentric spinning compact binaries, incorporating higher-order spin interactions and rotational deformation effects, relevant for gravitational wave detection.

Contribution

It introduces a quasi-Keplerian parameterisation including next-to-leading order spin-orbit and leading order spin-spin effects, with analytical gravitational waveforms for arbitrary mass ratios.

Findings

Analytical gravitational waveforms up to 2PN point particle order.

Inclusion of leading order spin-spin and next-to-leading order spin-orbit interactions.

Model accounts for rotational deformation of compact objects.

Abstract

A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions. Rotational deformation of the compact objects is incorporated. For arbitrary mass ratios the spin orientations are taken to be parallel or anti-parallel to the orbital angular momentum vector. The emitted gravitational wave forms are given in analytic form up to 2PN point particle, 1.5PN spin orbit and 1PN spin-spin contributions, where the spins are counted of 0PN order.