Masses of the components of the HDE 226868/Cyg X-1 binary system
  Recent determination of the distance to HDE 226868/Cyg X-1 binary system (Reid et al., 2011) and more precise determination of the effective temperature of HDE 226868 (Caballero- Nieves et al., 2009) permit a more accurate estimate of the masses of both components. Using up to date evolutionary models, I obtain a mass range of between 25 to 35 Msun for the mass of the supergiant and between 13 to 23 Msun for the mass of the black hole. Accepting more liberal estimates of uncertainties in both the distance and the effective temperature, one may extend these ranges to 21 to 35 Msun and 10 to 23 Msun for both masses, respectively. The most likely values within these ranges are, respectively, 27 Msun and 16 Msun. The obtained mass of black hole agrees with the value 15 +- 1 Msun suggested by Orosz et al. (2011). However, the value suggested by them for the mass of the supergiant of 19 +- 2 Msun should not be used as such a star violates the mass-luminosity relation for the the massive core hydrogen burning stars. This consideration was not incorporated into the iterative process of Orosz et al. To resolve this violation I consider the possibility that the hydrogen content of HDE 222268 might be lowered as a result of the mass transfer and the induced fast rotation of the mass gainer. I analyzed the evolutionary effects of such situation and found that, while important, they do not invalidate the conclusions listed above. If, as a result of the rotation induced mixing, the present hydrogen content of HDE 226868 is equal about 0.6 (as suggested by some observational data), then its present mass may be somewhat lower: about 24 Msun rather than about 27 Msun. 
Janusz Ziolkowski
astro-ph.SR