Chapter 28, Problem 24E

Assume that dark matter is uniformly distributed throughout the Milky Way, not just in the outer halo but also throughout the bulge and in the disk, where the solar system lives. How much dark matter would you expect there to be inside the solar system? Would you expect that to be easily detectable? Hint: For the radius of the Milky Way’s dark matter halo, use $R=300,000$ light-years; for the solar system’s radius, use 100 AU; and start by calculating the ratio of the two volumes.