Q: What is the semi-major axis a of the orbit of star SO-2? Express your answer in meters. a = 1 x 10^(14) m (approx) The period of this star's orbit is about 16 years. Q: Convert the period P into seconds. P = (16 year) * (3.15 x 10^7 sec/year) = 5 x 10^(8) s (approx) Q: Using Kepler's Third Law, calculate the mass of the object at the center of our Milky Way. 4 pi^2 * a^3 M(tot) = -------------- G * P^2 = 2.4 x 10^(36) kg = 1.2 x 10^6 solar masses