Coincidence probabilities for spacecraft gravitational wave experiments - Massive coalescing binaries

Details Coincidence probabilities for spacecraft gravitational wave experiments - Massive coalescing binaries Coincidence probabilities for spacecraft gravitational wave experiments - Massive coalescing binaries

May 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...372..545t&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 372, May 10, 1991, p. 545-553. National Research Council-sponsored research

Statistics

Computation

7

Binary Stars, Gravitational Waves, Spaceborne Astronomy, Spaceborne Experiments, Computational Astrophysics, Doppler Effect, Spacecraft Trajectories

Scientific paper

Massive coalescing binary systems are candidate sources of gravitational radiation in the millihertz frequency band accessible to spacecraft Doppler tracking experiments. This paper discusses signal processing and detection probability for waves from coalescing binaries in the regime where the signal frequency increases linearly with time, i.e., 'chirp' signals. Using known noise statistics, thresholds with given false alarm probabilities are established for one- and two-spacecraft experiments. Given the threshold, the detection probability is calculated as a function of gravitational wave amplitude for both one- and two-spacecraft experiments, assuming random polarization states and under various assumptions about wave directions. This allows quantitative statements about the detection efficiency of these experiments and the utility of coincidence experiments. In particular, coincidence probabilities for two-spacecraft experiments are insensitive to the angle between the directions to the two spacecraft, indicating that near-optical experiments can be done without constraints on spacecraft trajectories.

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