We study the evolution of initially spherical satellites of a galaxy that resembles the Milky Way using N-Body simulations. The initial satellites come from a Plummer sphere model with 10^6 particles, they are dark matter free and have typical masses of 10^7 - 10^9~M_&sun;. The satellite is bounded by a galactic potential: A Miyamoto-Nagai potential for the disc, a Hernquist potential for the bulge and a logaritmic potential for the dark matter halo. The initial satellite is introduced into the potential with certain apogalactic distance and velocity. We present a map of initial conditions for the orbit that lead to disrupted satellites, using only those that remain bound with 1% of the initial mass for a long enough period, which could be interpreted as dSph's by an observer on earth.