Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order

TL;DR

This paper develops an efficient 3.5 post-Newtonian order model for the gravitational wave phase from inspiralling eccentric binaries, aiding detection and astrophysics with current and future gravitational wave detectors.

Contribution

It provides a novel, accurate phasing formalism for eccentric binary inspirals at 3.5PN order, extending previous models and applicable to both ground-based and space-based GW detectors.

Findings

Provides 3.5PN accurate gravitational wave phasing for eccentric binaries.

Utilizes generalized quasi-Keplerian parametrization for conservative dynamics.

Enhances gravitational wave data analysis for current and future detectors.

Abstract

We obtain an efficient description for the dynamics of nonspinning compact binaries moving in inspiralling eccentric orbits to implement the phasing of gravitational waves from such binaries at the 3.5 post-Newtonian (PN) order. Our computation heavily depends on the phasing formalism, presented in [T. Damour, A. Gopakumar, and B. R. Iyer, Phys. Rev. D \textbf{70}, 064028 (2004)], and the 3PN accurate generalized quasi-Keplerian parametric solution to the conservative dynamics of nonspinning compact binaries moving in eccentric orbits, available in [R.-M. Memmesheimer, A. Gopakumar, and G. Sch\"afer, Phys. Rev. D \textbf{70}, 104011 (2004)]. The gravitational-wave (GW) polarizations $h_{+}$ and $h_{\times}$ with 3.5PN accurate phasing should be useful for the earth-based GW interferometers, current and advanced, if they plan to search for gravitational waves from inspiralling eccentric binaries. Our results will be required to do \emph{astrophysics} with the proposed space-based GW interferometers like LISA, BBO, and DECIGO.