Gravitational waves from coalescing binaries: detection strategies and Monte Carlo estimation of parameters

Abstract

The paper deals with issues pertaining the detection of gravitational waves from coalescing binaries. We introduce the application of differential geometry to the problem of optimal detection of the `chirp signal'. We have also carried out extensive Monte Carlo simulations to understand the errors in the estimation of parameters of the binary system. We find that the errors are much more than those predicted by the covariance matrix even at a high SNR of 10-15. We also introduce the idea of using the instant of coalescence rather than the time of arrival to determine the direction to the source.

28 pages, REVTEX, 12 figures (bundled via uufiles command along with this paper) submitted to Phys. Rev. D

References in corpus (4)

• Gravitational-Radiation Damping of Compact Binary Systems to Second Post-Newtonian order
• Gravitational waves from inspiralling compact binaries: Parameter estimation using second-post-Newtonian waveforms
• Gravitational waves from inspiralling compact binaries: Energy loss and waveform to second--post-Newtonian order
• On Estimation of the Post-Newtonian Parameters in the Gravitational-Wave Emission of a Coalescing Binary

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