TY - JOUR
T1 - Accurate and efficient waveforms for compact binaries on eccentric orbits
AU - Huerta, E. A.
AU - Kumar, Prayush
AU - McWilliams, Sean T.
AU - O'Shaughnessy, Richard
AU - Yunes, Nicolás
N1 - Publisher Copyright:
© 2014 American Physical Society.
PY - 2014/10/10
Y1 - 2014/10/10
N2 - 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(e8) at each post-Newtonian order. Our approach accurately reproduces an alternative time-domain eccentric waveform model for e∈[0,0.4] and binaries with total mass ≲12M ". 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 z∼0.2, while an array of Einstein Telescope detectors could detect hundreds of events per year to redshift z∼2.3.
AB - 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(e8) at each post-Newtonian order. Our approach accurately reproduces an alternative time-domain eccentric waveform model for e∈[0,0.4] and binaries with total mass ≲12M ". 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 z∼0.2, while an array of Einstein Telescope detectors could detect hundreds of events per year to redshift z∼2.3.
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U2 - 10.1103/PhysRevD.90.084016
DO - 10.1103/PhysRevD.90.084016
M3 - Article
AN - SCOPUS:84908236470
VL - 90
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 8
M1 - 084016
ER -