Astronomy:Angular correlation function

Short description: Measure of the projected clustering of galaxies

The angular correlation function is a function which measures the projected clustering of galaxies, due to discrepancies between their actual and expected distributions. The function may be computed as follows: [math]\displaystyle{ w(\theta)=\frac{1}{N}\frac{dP}{d\Omega}-1 }[/math], where [math]\displaystyle{ P }[/math] represents the conditional probability of finding a galaxy, [math]\displaystyle{ \Omega }[/math] denotes the solid angle, and [math]\displaystyle{ N }[/math] is the mean number density. In a homogeneous universe, the angular correlation scales with a characteristic depth.