Using astronomical data to derive flux predictions for the annihilation of Dark Matter in the Local Group

The Dark Matter distribution inside the halos is a still unsolved cosmological issue. N-body simulations data, which are usually assumed to represent the Dark Matter shape inside the halos, suffer from the bug of fitting all types of Galaxy with a universal profile, without taking into account the peculiar properties of each Galaxy. In this work we extract informations on the Dark Matter distribution for the four closest and most Dark Matter dominated dwarf spheroidal galaxies of the Local Group, and we shape the density profile according to the available data. We then make a prediction for the γ-ray flux arising from the annihilation of Dark Matter in these structures, and study the experimental sensitivity of a GLAST-like satellite to these sources