A Typical Globular Cluster Is Composed of 500,000 Stars in a Sphere

Essay

A typical globular cluster is composed of 500,000 stars in a sphere whose radius is approximately 5 pc. The distance between stars in a globular cluster is given approximately by d $\approx$ r/N^1/3, where r is the radius and N is the number of stars in the cluster. Calculate this distance, and determine how many times smaller it is than the typical distance between stars in the solar neighborhood, which is 3 light-years.