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Gravitational waveforms for precessing, quasicircular compact binaries with multiple scale analysis: Small spin expansion

Chatziioannou, Katerina and Klein, Antoine and Yunes, Nicolás and Cornish, Neil (2013) Gravitational waveforms for precessing, quasicircular compact binaries with multiple scale analysis: Small spin expansion. Physical Review D, 88 (6). Art. No. 063011. ISSN 1550-7998. doi:10.1103/physrevd.88.063011.

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We obtain analytical gravitational waveforms in the frequency domain for precessing, quasicircular compact binaries with small spins, applicable, for example, to binary neutron star inspirals. We begin by calculating an analytic solution to the precession equations, obtained by expanding in the dimensionless spin parameters and using multiple-scale analysis to separate time scales. We proceed by analytically computing the Fourier transform of time-domain waveform through the stationary phase approximation. We show that the latter is valid for systems with small spins. Finally, we show that these waveforms have a high overlap with numerical waveforms obtained through direct integration of the precession equations and discrete Fourier transformations. The resulting, analytic waveform family is ideal for detection and parameter estimation of gravitational waves emitted by inspiraling binary neutron stars with ground-based detectors.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Chatziioannou, Katerina0000-0002-5833-413X
Yunes, Nicolás0000-0001-6147-1736
Cornish, Neil0000-0002-7435-0869
Additional Information:© 2013 American Physical Society. Received 16 July 2013; published 27 September 2013. We thank Luc Blanchet for useful discussions on PN theory. K. C. and N. Y. acknowledge support from NSF Grant No. PHY-1114374 and NASA Grant No. NNX11AI49G, under subaward 00001944. A. K. and N. C. acknowledge support from the NSF Grant No. PHY-1205993 and NASA Grant No. NNX10AH15G.
Funding AgencyGrant Number
Issue or Number:6
Classification Code:PACS numbers: 04.80.Nn, 04.30.-w, 97.60.Jd
Record Number:CaltechAUTHORS:20200805-084307308
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:104746
Deposited By: Tony Diaz
Deposited On:05 Aug 2020 16:35
Last Modified:16 Nov 2021 18:34

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