Timescales
Free-fall: With no internal pressure, what is the timescale over
which a point source of mass m falls unhindered to the center of a
cloud of mass M? Equivalently, with no internal support, how long
would it take for the Sun's radius to change significantly?
Kelvin-Helmholz: Stellar evolution is a strong function of the
available energy reservoir. Could the binding energy of the Sun be sufficient
to have fueled its luminosity?
Einstein: The total gravitational potential energy is insufficient to
have powered the Sun over its lifetime, even assuming 100% conversion of
potential to radiant energy. We next consider the energy equivalent to the
total mass of the Sun.
Hubble: The Hubble constant, H, is a measure of the time over
which the Universe has been expanding. Measurements of the Hubble time agree
well with globular cluster ages and white dwarf cooling times, the oldest relics known. How
do we determine both the distance and the expansion rate for various types of
objects?