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

question 87

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 ≈ 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.

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