Gravitational radiation from a particle in circular orbit around a black hole. VI. Accuracy of the post-Newtonian expansion

Details Gravitational radiation from a particle in circular orbit around a black hole. VI. Accuracy of the post-Newtonian expansion Gravitational radiation from a particle in circular orbit around a black hole. VI. Accuracy of the post-Newtonian expansion

1995-05-17

arxiv.org/abs/gr-qc/9505030v2

Phys.Rev. D52 (1995) 5719-5723; Addendum-ibid. D55 (1997) 7980-7981

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, ReVTeX, 1 figure. A typographical error was discovered in the computer code used to generate the results presented in

Scientific paper

10.1103/PhysRevD.52.5719

A particle of mass $\mu$ moves on a circular orbit around a nonrotating black hole of mass $M$. Under the assumption $\mu \ll M$ the gravitational waves emitted by such a binary system can be calculated exactly numerically using black-hole perturbation theory. If, further, the particle is slowly moving, then the waves can be calculated approximately analytically, and expressed in the form of a post-Newtonian expansion. We determine the accuracy of this expansion in a quantitative way by calculating the reduction in signal-to-noise ratio incurred when matched filtering the exact signal with a nonoptimal, post-Newtonian filter.

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