The Sun rotates about the center of the Milky Way Galaxy at a distance of about 30,000 lightyears. (1 ly = 9.5 !! 10^15 m) from the center.
Sun
30,000 ly
a. If it takes about 200 million years for one revolution, estimate the mass of our Galaxy.
b. Assume that the mass distribution of our Galaxy is concentrated mostly in a central uniform sphere. If all the stars had about the mass of our Sun (2 !! 10^30 kg), how many stars would there be in the Milky Way Galaxy?
c. Calculate the magnitude of the gravitational force exerted on the Sun from the assumed center of our Galaxy & the radial acceleration at which the Sun is falling into the center?