Step 4: Compute the mass of the object at the center of the Milky Way (in solar masses). semi-major axis a = (approx) 765 AU Period P = (approx) 16.2 yr Therefore, the mass of the central object, in solar masses, must be ( 765 AU )^3 M = --------------- = 1.7 x 10^(6) solar masses ( 16.2 yr )^2