Dwarf galaxy satellites, in particular the satellites of the Milky Way and M31, have become the testbed of the cold dark matter model at small scales. The missing satellites problem still remains one of the major challenges that the theory is facing. A proper study of the formation and evolution of satellites in galaxy halos, however, requires cosmological hydrodynamical simulations having a resolution that is just starting to become achievable. In the meantime, detailed N-Body+SPH simulations of individual dwarf galaxies evolving within the primary halo remain the best tool to understand the origin of the present-day population of satellites. Here we review a number of works showing how tidal stripping, tidally induced dynamical instabilities, ram pressure stripping and the cosmic ionizing background combine to explain the morphology-density relation, the kinematics, the morphology, gas content, mass-to-light ratios and star formation histories of known dwarf spheroidal satellites within hierachical structure formation. The redshift of infall of the satellites within the primary halo is a crucial parameter determing many of the final properties of the satellites. The accurate determination of their orbits will allow to test our model. We end by dicussing the implications of such environmentally driven evolution on the missing satellites problem.