2006ApJ...648..405B

Two disks of young stars have recently been discovered in the Galactic center. The disks are rotating in the gravitational field of the central black hole at radii r∼0.1-0.3 pc and thus open a new opportunity to measure the central mass. We find that the observed motion of stars in the clockwise disk implies the mass within -0.1 pc M=(4.3±0.5)x10⁶ M_☉ for the fiducial distance to the Galactic center R₀=8 kpc, and we derive the scaling of M with R₀. As a tool for our estimate we use orbital roulette, a recently developed method. The method reconstructs the three-dimensional orbits of the disk stars and checks the randomness of their orbital phases. We also estimate the three-dimensional positions and orbital eccentricities of the clockwise-disk stars.