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

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. Schäfer, 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.

22 pages including 2 figures; submitted to PRD

Cited by in corpus (13)

• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• Binary black-hole evolutions of excision and puncture data
• Circularization and Final Spin in Eccentric Binary Black Hole Inspirals
• Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits
• Gravitational waves from BH-NS binaries: Effective Fisher matrices and parameter estimation using higher harmonics
• Measuring orbital eccentricity and periastron advance in quasi-circular black hole simulations
• Third post-Newtonian gravitational waveforms for compact binary systems in general orbits: Instantaneous terms
• Gravitational waveforms for spinning compact binaries
• Full-analytic frequency-domain 1pN-accurate gravitational wave forms from eccentric compact binaries
• Accurate and efficient gravitational waveforms for certain galactic compact binaries
• Binary Black Hole Encounters, Gravitational Bursts and Maximum Final Spin
• Gravitational waves from compact binaries inspiralling along post-Newtonian accurate eccentric orbits: Data analysis implications
• Gravitational waveforms from a Lense-Thirring system