Physics
Scientific paper
Apr 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.4016t&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 8, 15 April 1994, pp.4016-4022
Physics
74
Post-Newtonian Approximation, Perturbation Theory, Related Approximations, Wave Propagation And Interactions
Scientific paper
We find logarithmic terms in a post-Newtonian expansion of gravitational radiation induced by a particle traveling a circular orbit of radius r0 around a Schwarzschild black hole of mass M. We calculate the gravitational wave luminosity using the Teukolsky equation to high accuracy (~20 figures) and determine the coefficients of the post-Newtonian expansion by means of least squares fitting. We find that there are terms proportional to x6lnx and x8lnx where x=(M/r0)1/2. We also examine the accumulated phase of coalescing compact star binaries by means of the post-Newtonian expansion as it sweeps through the bandwidth at which the future laser interferometric detectors have good sensitivity.
Nakamura Takashi
Tagoshi Hideyuki
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