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The Milky Way induces a strong tidal perturbation on its satellite dwarf spheroidal galaxies. We present numerical simulations of tidal interactions between these low-density dwarf spheroidal galaxies and the Milky Way. Our results indicate that dwarf spheroidal galaxies with limiting radius much larger than the theoretical tidal radius are unstable and likely to be tidally disrupted on a Hubble time. However, dwarf spheroidal gal galaxies can survive over a Hubble time if their limiting radii are less than twice their tidal radii at perigalacticon. In a galaxy which is undergoing tidal disruption, (1) the projected surface density is flattened in the galaxy's orbital plane and follows a power-law distribution from the galaxy's center, (2) the velocity dispersion is sustained at the current virial equilibrium value, and (3) the central density of the residual remnant is maintained even after most of the initial mass is lost. Beyond the tidal radius, the escapers have a radial velocity gradient along the azimuthal direction of the galaxy's motion. When compared with observational data, our theoretical results are consistent with the scenarios that (1) some dwarf spheroidal galaxies contain dark matter, and (2) some dwarf spheroidal galaxies may be part of the debris that was tidally torn from the LMC by the Galaxy.
Oh et al. (Wed,) studied this question.