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We show that measured velocity dispersions of dwarf spheroidal galaxies fromabout 4 to 10 km/s are unlikely to be inflated by more than 20% due to theorbital motion of binary stars, and demonstrate that the intrinsic velocitydispersions can be determined to within a few percent accuracy using two-epochobservations with 1-2 years as the optimal time interval. The crucialobservable is the threshold fraction--the fraction of stars that show velocitychanges larger than a given threshold between measurements. The thresholdfraction is tightly correlated with the dispersion introduced by binaries,independent of the underlying binary fraction and distribution of orbitalparameters. We outline a simple procedure to correct the velocity dispersion towithin a few percent accuracy by using the threshold fraction and providefitting functions for this method. We also develop a methodology forconstraining properties of binary populations from both single- and two-epochvelocity measurements by including the binary velocity distribution in aBayesian analysis.

Correcting velocity dispersions of dwarf spheroidal galaxies for binary orbital motion