Dynamical Mass Measurement of the Coma Cluster (Abell 1656)

Following (Zwicky 1937) we start with the virial theorem that relates the average kinetic energy ⟨K⟩ to the average gravitational potential energy ⟨U⟩ of bodies in a system (cluster, galaxy, etc) in the state of equilibrium: ⟨K⟩ = −1/2⟨U⟩, with brackets denoting an average value. We can measure radial velocities Vr of individual bodies in a system (of stars in a globular cluster or a galaxy, of galaxies in a cluster of galaxies) via spectroscopic means.

Note: Dynamical Mass Measurement of the Coma Cluster (Abell 1656)