The black hole at the center of the Milky way galaxy is estimated to contain about 4 million solar masses. (msun= 2 x 1030 kg)
a) What is the Schwarzchild radius of our galaxy's black hole?
b) By what fraction would the march of time be changed (compared to a distant observer) for a spaceship located at twice the Schwarzchild radius from this black hole's center?
c) How would this calculation be effected if the spaceship was in orbit about the black hole at this distance?