Frequency and time domain inspiral templates for comparable mass compact binaries in eccentric orbits

Abstract

Inspiraling compact binaries with non-negligible orbital eccentricities are plausible gravitational wave (GW) sources for the upcoming network of GW observatories. In this paper, we present two prescriptions to compute post-Newtonian (PN) accurate inspiral templates for such binaries. First, we adapt and extend the post-circular scheme of Yunes {\it et al.} [Phys. Rev. D 80, 084001 (2009)] to obtain a Fourier-domain inspiral approximant that incorporates the effects of PN-accurate orbital eccentricity evolution. This results in a fully analytic frequency-domain inspiral waveform with Newtonian amplitude and 2PN order Fourier phase while incorporating eccentricity effects up to sixth order at each PN order. The importance of incorporating eccentricity evolution contributions to the Fourier phase in a PN consistent manner is also demonstrated. Second, we present an accurate and efficient prescription to incorporate orbital eccentricity into the quasi-circular time-domain {\texttt{TaylorT4}} approximant at 2PN order. New features include the use of rational functions in orbital eccentricity to implement the 1.5PN order tail contributions to the far-zone fluxes. This leads to closed form PN-accurate differential equations for evolving eccentric orbits and the resulting time-domain approximant is accurate and efficient to handle initial orbital eccentricities $\le 0.9$. Preliminary GW data analysis implications are probed using match estimates.

30 pages, 5 figures

References in corpus (17)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Characterization of the LIGO detectors during their sixth science run
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• Gravitational waves from scattering of stellar-mass black holes in galactic nuclei
• Systematic parameter errors in inspiraling neutron star binaries
• The Formation of Eccentric Compact Binary Inspirals and the Role of Gravitational Wave Emission in Binary-Single Stellar Encounters
• Coherent method for detection of gravitational wave bursts
• Accurate and efficient waveforms for compact binaries on eccentric orbits
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
• Observing complete gravitational wave signals from dynamical capture binaries
• Detecting gravitational waves from highly eccentric compact binaries
• The detectability of eccentric compact binary coalescences with advanced gravitational-wave detectors
• Full-analytic frequency-domain 1pN-accurate gravitational wave forms from eccentric compact binaries
• Accurate and efficient gravitational waveforms for certain galactic compact binaries
• Gravitational waves from spinning eccentric binaries
• Gravitational waves from compact binaries inspiralling along post-Newtonian accurate eccentric orbits: Data analysis implications

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