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We have used the Novikov-Thorne thin disk model to fit the continuum X-rayspectra of three transient black hole X-ray binaries in the thermal state. Fromthe fits we estimate the dimensionless spin parameters of the black holes tobe: 4U 1543-47, a* = a/M = 0.7-0.85; GRO J1655-40, a* = 0.65-0.8; GRS 1915+105,a* = 0.98-1. We plan to expand the sample of spin estimates to about a dozenover the next several years. Some unresolved theoretical issues are brieflydiscussed.

Estimating the Spins of Stellar-Mass Black Holes by Fitting Their Continuum Spectra