Gravitational Wave Data Analysis pp 299-313 | Cite as

# Coincidence Probabilities for Networks of Laser Interferometric Detectors Observing Coalescing Compact Binaries

## Abstract

The threshold averaged coincidence probability and the coincidence probability as a function of the thresholds of two or more laser interferometers, are applied to the case of waves from coalescing compact binaries. These are thought to be the most likely sources of gravitational waves to be detected by broad-band detectors.

We obtain the various coincidence probabilities as functions of the distance to the source relative to the maximum distance a network will be able to look at. After deducing the probability distribution for binaries located inside the observable volume, we calculate the detection efficiency, defined as the averaged value of the coincidence probability over the volume. By assuming the figure of three events per year for neutron-star binaries out to 100 Mpc, we calculate the event rate that a network of interferometers will be able to register over a given observation time.

We find that the currently proposed four detectors in California, Maine, Scotland and Germany, working with light recycling will be able to observe in coincidence 2000 events per year out to 2.1 Gpc.

## Keywords

Gravitational Wave Detection Efficiency Single Antenna Antenna Pattern Polarization Ellipse## Preview

Unable to display preview. Download preview PDF.

## References

- Clarke, J.P.A., van den Heuvel, E.P.J. & Sutantyo, W., 1979. Astron Astrophys., 72, 120Google Scholar
- Dewey, D., 1986. in Proceedings of the Fourth Marcel Grossmann Meeting on General Relativity, ed. R. Ruffini, ElsevierGoogle Scholar
- Hough, Meers, B.J., Newton, G.P., Robertson, N.A., Ward, H., Schutz, B.F., Drever, R.W.P., Tolcher, R. & Corbett, I.F., (1986) A British Long Baseline Gravitational Wave Observatory, Rutherford Appleton Laboratory Report GWD/RAL 86-001, Chilton, Oxon. U.K.Google Scholar
- Krolak, A. 1988. “Post-Newtonian Coalescing Binaries”, this volume.Google Scholar
- Schutz, B.F., 1986. Nature, 323, 310CrossRefGoogle Scholar
- Schutz, B.F., 1988. in Proceedings of the XIV Yamada Conference on Gravitational Collapse and Relativity, ed. Sato, H., Nakamura, T., World Scientific, SingaporeGoogle Scholar
- Schutz, B.F., 1988s. ‘Sources of gravitational radiation’, this volumeGoogle Scholar
- Schutz, B.F., 1988b. ‘Data analysis requirements of networks of detectors’, this volumeGoogle Scholar
- Schutz, B.F. & Tinto, M. 1987. Mon.Not.R.astr.Soc., 224, 131Google Scholar
- Thorne, K.S., 1987. in 300 Years of Gravitation, eds. Hawking, S.W. & Israel, W. Cambridge University PressGoogle Scholar
- Tinto, M., 1987a. Mon.Not.R.astr.Soc. 9 226, 829Google Scholar
- Tinto, M., 1987b. in Proceedings of the 7th Italian Conference on General Relativity and Gravitational Physics, eds. Bruzzo, U., Cianci, R. & Massa, E. World Scientific, SingaporeGoogle Scholar
- Tinto, M. 1987c. Mon.Not.R.astr.Soc., to appearGoogle Scholar
- Tinto, M., 1987d. Ph.D. thesis, University of Wales, unpublishedGoogle Scholar