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Measuring orbital eccentricity and periastron advance in quasicircular black hole simulations

Mroué, Abdul H. and Pfeiffer, Harald P. and Kidder, Lawrence E. and Teukolsky, Saul A. (2010) Measuring orbital eccentricity and periastron advance in quasicircular black hole simulations. Physical Review D, 82 (12). Art. No. 124016. ISSN 1550-7998.

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We compare different methods of computing the orbital eccentricity of quasicircular binary black-hole systems using the orbital variables and gravitational-wave phase and frequency. For eccentricities of about a per cent, most methods work satisfactorily. For small eccentricity, however, the gravitational-wave phase allows a particularly clean and reliable measurement of the eccentricity. Furthermore, we measure the decay of the orbital eccentricity during the inspiral and find reasonable agreement with post-Newtonian results. Finally, we measure the periastron advance of nonspinning binary black holes, and we compare them to post-Newtonian approximations. With the low uncertainty in the measurement of the periastron advance, we positively detect deviations between fully numerical simulations and post-Newtonian calculations.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Pfeiffer, Harald P.0000-0001-9288-519X
Kidder, Lawrence E.0000-0001-5392-7342
Teukolsky, Saul A.0000-0001-9765-4526
Alternate Title:Measuring orbital eccentricity and periastron advance in quasi-circular black hole simulations
Additional Information:© 2010 The American Physical Society. (Received 1 May 2010; published 8 December 2010) We thank Geoffrey Lovelace for providing initial data for the large eccentricity run, and Luisa Buchman and Mark Scheel for providing the data for the unequal mass simulations. Results obtained in this paper were produced using the Spectral Einstein Code (SpEC) [50]. This work is supported in part by grants from the Sherman Fairchild Foundation to Caltech and Cornell, and from the Brinson Foundation to Caltech; by NSF Grant No. PHY-0601459, Grant No. PHY-0652995, and Grant No. DMS-0553302 at Caltech; by NSF Grant No. PHY-0652952, Grant No. DMS-0553677, Grant No. PHY-0652929, and NASA Grant No. NNX09AF96G at Cornell. H. P. gratefully acknowledges support from the NSERC of Canada, from the Canada Research Chairs Program, and from the Canadian Institute for Advanced Research.
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Brinson FoundationUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Canada Research Chairs ProgramUNSPECIFIED
Canadian Institute for Advanced Research (CIFAR)UNSPECIFIED
Issue or Number:12
Classification Code:PACS numbers: 04.25.D-, 04.25.dg, 04.25.Nx, 04.30.-w
Record Number:CaltechAUTHORS:20180605-164334568
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86817
Deposited By: George Porter
Deposited On:06 Jun 2018 14:57
Last Modified:09 Mar 2020 13:19

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