Mathematics – Logic
Scientific paper
Feb 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aps..apr.w1014d&link_type=abstract
American Physical Society, APS April Meeting 2010, February 13-16, 2010, abstract #W1.014
Mathematics
Logic
Scientific paper
Gravitation waves manifest themselves as a tidal acceleration; correspondingly, gravitational wave detectors must be analyzed as (space-time) extended systems interacting with a (space-time) extended wave. In the case of pulsar timing arrays the detector size is of order the pulsar-Earth distance, which is in excess of 1 Kpc for over half the pulsars in the International Pulsar Timing Array (IPTA). For a gravitational wave point source the radiation wavefront curvature, associated with the finite source-Earth distance, leads to timing corrections of magnitude (h/f)(πfL^2/R), where h is the gravitational wave strain amplitude, L the pulsar-Earth distance, R the source-Earth distance, and f the characteristic gravitational wave frequency. The timing precision of the best IPTA pulsars are better than 100 ns rms; correspondingly pulsar timing array observations should be capable of measuring the timing parallax distance to point gravitational wave sources at cosmological distances. )
Deng Xihao
Finn Lee Samuel
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