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- W2156317737 abstract "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 $mathcal{O}({e}^{8})$ at each post-Newtonian order. Our approach accurately reproduces an alternative time-domain eccentric waveform model for $eensuremath{in}[0,0.4]$ and binaries with total mass $ensuremath{lesssim}12{M}_{ensuremath{bigodot}}$. As an application, we evaluate the signal amplitude that eccentric binaries produce in different networks of existing and forthcoming gravitational waves detectors. Assuming a population of eccentric systems containing black holes and neutron stars that is uniformly distributed in comoving volume, we estimate that second-generation detectors like Advanced LIGO could detect approximately 0.1--10 events per year out to redshift $zensuremath{sim}0.2$, while an array of Einstein Telescope detectors could detect hundreds of events per year to redshift $zensuremath{sim}2.3$." @default.
- W2156317737 created "2016-06-24" @default.
- W2156317737 creator A5028335452 @default.
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- W2156317737 creator A5052196996 @default.
- W2156317737 creator A5087296933 @default.
- W2156317737 date "2014-10-10" @default.
- W2156317737 modified "2023-10-17" @default.
- W2156317737 title "Accurate and efficient waveforms for compact binaries on eccentric orbits" @default.
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