  The population of Milky Way satellite galaxies is of great interest for
cosmology, fundamental physics, and astrophysics. They represent the faint end
of the galaxy luminosity function, are the most dark-matter dominated objects
in the local Universe, and contain the oldest and most metal-poor stellar
populations. Recent surveys have revealed around 60 satellites, but this could
represent less than half of the total. Characterization of these systems
remains a challenge due to their low luminosity. We consider the gravitational
wave observatory LISA as a potential tool for studying these satellites through
observations of their short-period double white dwarf populations. LISA will
observe the entire sky without selection effects due to dust extinction,
complementing optical surveys, and could potentially discover massive
satellites hidden behind the disk of the galaxy.
