Abstract
We study prospects of a method to constrain the inclination of a coalescing compact binary by detecting its gravitational waves associated with a three-dimensionally localized (direction and distance) short-hard gamma-ray burst. We take advantage of a synergy of these two observations, and our method can be applied even with a single interferometer. For a nearly face-on binary the inclination angle $I$ can be constrained in the range $1\ensuremath{-}{\mathrm{SNR}}^{\ensuremath{-}1}\ensuremath{\le}\mathrm{cos}I\ensuremath{\le}1$ (SNR: the signal-to-noise ratio of gravitational wave detection), provided that the error of the distance estimation is negligible. This method would help us to study properties of the short-hard bursts, including potentially collimated jetlike structures as indicated by recent observation.
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