The Structural Evolution of Substructure

We investigate the evolution of substructure in cold dark matter halos using N-body simulations of tidal stripping of substructure halos (subhalos) within a static host potential. We find that halos modeled following the Navarro, Frenk & White (NFW) mass profile lose mass continuously due to tides from the massive host, leading to the total disruption of satellite halos with small tidal radii. The structure of stripped NFW halos depends mainly on the fraction of mass lost, and can be expressed in terms of a simple correction to the original NFW profile. We apply these results to substructure in the Milky Way, and conclude that the dark matter halos surrounding its dwarf spheroidal (dSph) satellites have circular velocity curves that peak well beyond the luminous radius at velocities significantly higher than expected from the stellar velocity dispersion. Our modeling suggests that the true tidal radii of dSphs lie well beyond the putative tidal cutoff observed in the surface brightness profile, suggesting that the latter are not really tidal in origin but rather features in the light profile of limited dynamical relevance. For Draco, in particular, our modeling implies that its tidal radius is much larger than derived by Irwin & Hatzidimitriou (1995), lending support to the interpretation of recent Sloan survey data by Odenkirchen et al. (2001). Similarly, our model suggests that Carina's halo has a peak circular velocity of ~55 km/s, which may help explain how this small galaxy has managed to retain enough gas to undergo several bursts of star formation. Our results imply a close correspondence between the most massive subhalos expected in a CDM universe and the known satellites of the Milky Way, and suggest that only subhalos with peak circular velocities below 35 km/s lack readily detectable luminous counterparts.