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Efficient estimation of barycentered relative time delays for distant gravitational wave sources

Orion Sauter1,*, Vladimir Dergachev2,3,†, and Keith Riles1,‡

  • 1University of Michigan, 450 Church Street, Ann Arbor, Michigan 48109, USA
  • 2Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Callinstrasse 38, 30167 Hannover, Germany
  • 3Leibniz Universität Hannover, D-30167 Hannover, Germany

  • *osauter@umich.edu
  • †vladimir.dergachev@aei.mpg.de
  • ‡kriles@umich.edu
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Phys. Rev. D 99, 044006 – Published 6 February, 2019

DOI: https://doi.org/10.1103/PhysRevD.99.044006

Abstract

Accurate determination of gravitational wave source parameters relies on transforming between the source and detector frames. All-sky searches for continuous wave sources are computationally expensive, in part, because of barycentering transformation of time delays to a solar system frame. This expense is exacerbated by the complicated modulation induced in signal templates. We investigate approximations for determining time delays of signals received by a gravitational wave detector with respect to the solar system barycenter. A highly nonlinear conventional computation is transformed into one that has a pure linear sum in its innermost loop. We discuss application of these results to determination of the maximal useful integration time of continuous wave searches.

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Phys. Rev. D 99, 044006– Published 6 February, 2019
  • Received 11 June 2018
Article part of CHORUS
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