Abstract
We have obtained an H-band infrared light curve of the low-mass X-ray binary transient Nova Muscae 1991. We model the light curve as being due to the tidal distortion of the secondary star in the gravitational field of a black hole, and thus deduce the binary inclination to be 54°, with 90 per cent confidence limits of + 20°/ -15°. Combining this with previously published spectroscopic data, we determine the mass of the black hole to be in the range 4-11 M0 (90 per cent confidence). Using Bailey's relation and our estimates of the radius of the secondary star, we obtain a 90 per cent lower limit to distance of 2.8 kpc and a firm upper limit of 4.0 kpc.
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