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Spin effects in the phasing of gravitational waves from binaries on eccentric orbits


Klein, A; Jetzer, P (2010). Spin effects in the phasing of gravitational waves from binaries on eccentric orbits. Physical Review D, 81(12):124001.

Abstract

We compute here the spin-orbit and spin-spin couplings needed for an accurate computation of the phasing of gravitational waves emitted by comparable-mass binaries on eccentric orbits at the second post-Newtonian (PN) order. We use a quasi-Keplerian parametrization of the orbit free of divergencies in the zero-eccentricity limit. We find that spin-spin couplings induce a residual eccentricity for coalescing binaries at 2PN, of the order of 10-4-10-3 for supermassive black hole binaries in the LISA band. Spin-orbit precession also induces a nontrivial pattern in the evolution of the eccentricity, which could help to reduce the errors on the determination of the eccentricity and spins in a gravitational wave measurement.

We compute here the spin-orbit and spin-spin couplings needed for an accurate computation of the phasing of gravitational waves emitted by comparable-mass binaries on eccentric orbits at the second post-Newtonian (PN) order. We use a quasi-Keplerian parametrization of the orbit free of divergencies in the zero-eccentricity limit. We find that spin-spin couplings induce a residual eccentricity for coalescing binaries at 2PN, of the order of 10-4-10-3 for supermassive black hole binaries in the LISA band. Spin-orbit precession also induces a nontrivial pattern in the evolution of the eccentricity, which could help to reduce the errors on the determination of the eccentricity and spins in a gravitational wave measurement.

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8 citations in Web of Science®
5 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute for Computational Science
Dewey Decimal Classification:530 Physics
Language:English
Date:June 2010
Deposited On:01 Mar 2011 10:01
Last Modified:05 Apr 2016 14:33
Publisher:American Physical Society
ISSN:1550-2368
Publisher DOI:10.1103/PhysRevD.81.124001
Related URLs:http://arxiv.org/abs/arXiv:1005.2046
Permanent URL: http://doi.org/10.5167/uzh-41690

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