A variational form of this theorem can be used to find the frequency of stable radial pulsations of a ball of gas.
Peebles derived a cosmic version of this theorem in order to find the peculiar velocity profiles of groups of galaxies, and that theorem uses two- and three-point mass correlation functions. A variational form of this theorem can be used to find the frequency of stable radial pulsations of a ball of gas. n one famous application of this theorem, the Coma galaxy cluster was found to be 160 times more massive than its luminosity would suggest, leading Zwicky to hypothesize the existence of dark matter. This equation is derived by showing that one half of the time derivative of the moment of inertia of a group of particles is equal to the sum over the dot product of each particles' position vector and momentum vector.. For 10 points, name this theorem, which states that for a self-gravitating system, the average kinetic energy is equal to negative one half times the average potential energy.
Peebles derived a cosmic version of this theorem in order to find the peculiar velocity profiles of groups of galaxies, and that theorem uses two-
{Virial} theorem