Orbital Evolution of Satellite Galaxies in Self-Interacting Dark Matter
  Models
  Dark matter self interactions can leave distinctive signatures on the
properties of satellite galaxies around Milky Way--like hosts through their
impact on tidal stripping, ram pressure, and gravothermal collapse. We
delineate the regions of self-interacting dark matter parameter
space---specified by interaction cross section and a velocity scale---where
each of these effects dominates, and show how the relative mass loss depends on
the satellite's initial mass, density profile and orbit. We obtain novel,
conservative constraints in this parameter space using Milky Way satellite
galaxies with notably high central densities and small pericenter distances.
Our results for self-interacting dark matter models, in combination with
constraints from clusters of galaxies, favor velocity-dependent cross sections
that lead to gravothermal core collapse in the densest satellites.
