Reduced order modelling in searches for continuous gravitational waves - I. barycentering time delays

Pitkin, M. , Doolan, S., McMenamin, L. and Wette, K. (2018) Reduced order modelling in searches for continuous gravitational waves - I. barycentering time delays. Monthly Notices of the Royal Astronomical Society, 476(4), pp. 4510-4519. (doi:10.1093/mnras/sty548)

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Abstract

The frequencies and phases of emission from extra-solar sources measured by Earth-bound observers are modulated by the motions of the observer with respect to the source, and through relativistic effects. These modulations depend critically on the source’s sky-location. Precise knowledge of the modulations are required to coherently track the source’s phase over long observations, for example, in pulsar timing, or searches for continuous gravitational waves. The modulations can be modelled as sky-location and time dependent time delays that convert arrival times at the observer to the inertial frame of the source, which can often be the solar system barycentre (SSB). We study the use of Reduced Order Modelling for speeding up the calculation of this time delay for any sky-location. We find that the time delay model can be decomposed into just four basis vectors, and with these the delay for any sky-location can be reconstructed to sub-nanosecond accuracy. When compared to standard routines for time delay calculation in gravitational wave searches, using the reduced basis can lead to speed-ups of 30 times. We have also studied components of time delays for sources in binary systems. Assuming eccentricities <0.25 we can reconstruct the delays to within 100s of nanoseconds, with best case speed-ups of a factor of 10, or factors of two when interpolating the basis for different orbital periods or time stamps. In long-duration phase-coherent searches for sources with sky-position uncertainties, or binary parameter uncertainties, these speed-ups could allow enhancements in their scopes without large additional computational burdens.

Item Type:Articles
Keywords:Space and Planetary Science, Astronomy and Astrophysics
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Pitkin, Dr Matthew
Authors: Pitkin, M., Doolan, S., McMenamin, L., and Wette, K.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Monthly Notices of the Royal Astronomical Society
Publisher:Oxford University Press
ISSN:0035-8711
ISSN (Online):1365-2966
Published Online:28 February 2018
Copyright Holders:Copyright © 2018 The Authors
First Published:First published in Monthly Notices of the Royal Astronomical Society 476(4):4510-4519
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
713721Investigations in gravitational radiationSheila RowanScience & Technology Facilities Council (STFC)ST/N005422/1S&E P&A - PHYSICS & ASTRONOMY