Accurate and efficient waveforms for compact binaries on eccentric orbits

Compact binaries that emit gravitational waves in the sensitivity band of ground-based detectors can have non-negligible eccentricities just prior to merger, depending on the formation scenario. We develop a purely analytic, frequency-domain model for gravitational waves emitted by compact binaries...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2014-10, Vol.90 (8), Article 084016
Main Authors: Huerta, E. A., Kumar, Prayush, McWilliams, Sean T., O’Shaughnessy, Richard, Yunes, Nicolás
Format: Article
Language:English
Subjects:
Detectors
Eccentric orbits
Eccentricity
Eccentrics
Emittance
Gravitational waves
Mathematical analysis
Waveforms
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Summary:Compact binaries that emit gravitational waves in the sensitivity band of ground-based detectors can have non-negligible eccentricities just prior to merger, depending on the formation scenario. We develop a purely analytic, frequency-domain model for gravitational waves emitted by compact binaries on orbits with small eccentricity, which reduces to the quasicircular post-Newtonian approximant TAYLORF2 at zero eccentricity and to the postcircular approximation of Yunes et al. [Phys. Rev. D 80, 084001 (2009)] at small eccentricity. Our model uses a spectral approximation to the (post-Newtonian) Kepler problem to model the orbital phase as a function of frequency, accounting for eccentricity effects up to O(e super(8)) at each post-Newtonian order. Our approach accurately reproduces an alternative time-domain eccentric waveform model for e [setmembership] [0, 0.4] and binaries with total mass [
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.90.084016