Models of Elliptical Galaxies
Should follow equations of stellar dynamics.
Treat as “collisionless” ensemble
Relaxation time is important – this defines the
time between “collisions”
Work out energetically to get
Trelax = V3/8πnG2m2log(R/b)
V is mean relative speed, n is stellar density, m
is the mean stellar mass, R is radius of galaxy,
and b is the minimum impact parameter.
Details will probably be a homework problem.