  Dark matter may be discovered through its capture in stars and subsequent
annihilation. It is usually assumed that dark matter is captured after a single
scattering event in the star, however this assumption breaks down for heavy
dark matter, which requires multiple collisions with the star to lose enough
kinetic energy to become captured. We analytically compute how multiple
scatters alter the capture rate of dark matter and identify the parameter space
where the affect is largest. Using these results, we then show how multiscatter
capture of dark matter on compact stars can be used to probe heavy ($m_X >$
TeV) dark matter with remarkably small dark matter-nucleon scattering
cross-sections. As one example, it is demonstrated how measuring the
temperature of old neutron stars in the Milky Way's center provides sensitivity
to high mass dark matter with dark matter-nucleon scattering cross-sections
smaller than the xenon direct detection neutrino floor.
