In general, this theorem states that negative one-half times the sum over all particles of the dot product between the particles' position and the force on it equals the average kinetic energy of the system.
This statement can be derived from Lagrange's identity when the time derivative of the scalar G function is equal to zero. This statement can show that insufficient binding energy restricts systems, such as stellar systems and atoms, to three or fewer dimensions. In 1933, an astrophysicist first used this theorem to predict the mass of the Coma cluster; realizing that a lot of it seemed to be missing, Fritz Zwicky then postulated the existence of dark matter. In general, this theorem states that negative one-half times the sum over all particles of the dot product between the particles' position and the force on it equals the average kinetic energy of the system. For 10 points, name this theorem that relates the average kinetic energy of a system to its average potential energy.
This statement can be derived from Lagrange's identity when the time derivative of the scalar G function is equal to zero.
virial theorem &lt;Overman&gt;