Fill in the box with the correct answer (answers should be just a few words or a number).
One can make a more general version of Kepler's Third Law which accounts for the mass of the object being orbited
Everything works if P is expressed in years, a is expressed in astronomical units (AU), and M is in units of the Sun's mass (so in the Solar System M=1). You can apply this equation to an entire galaxy of stars, in which case you measure the mass which lies interior to the orbit of the star for which you know "a" and "P".
In the last problem you determined the Milky Way Galaxy diameter in AU. The Sun orbits the center of the Galaxy at a distance of a=2x109AU. It takes roughly P=200 million years for the Sun to complete an orbit around the center. How much mass does the Milky Way contain inside the Sun's orbit?
A. Globular Cluster
B. Galaxy
C. Open Cluster