where m is the star's mass, v is the star's velocity, r is its distance from the supermassive black hole, and M is the supermassive black hole's mass. A star's energy remains nearly constant for many orbital periods. But after roughly one relaxation time, most of the stars in the nucleus will have exchanged energy with other stars, causing their orbits to change. Bahcall and Wolf showed that once this has taken place, the distribution of orbital energies has the form