Stellar kinematics near the Galactic gentes - Possible test for a binary black hole

We consider consequences of the presence of a binary black hole system in the center of our Galaxy. We show that the existence of such a system with total mass approximate to 2.6 x 10(6) M. and semimajor axis approximate to 0.001 pc is not excluded on theoretical grounds and it may have characteristic evolution time of a few billions years. We simulate astrometric measurements of proper motion of stars in the vicinity of the black hole system and check whether such observations are sufficient to discover the binary nature of the central mass. We show that such findings require astrometric accuracy about ten times higher than presently available; the Keck Interferometer, will be able to place stringent observational limits on the presence of a black hole binary in the Galactic center.