The Galileo for Science (G4S\_2.0) project: constraints on the possible presence of dark matter in the Milky Way with the atomic clocks of the Galileo FOC constellation

G4S_2.0 is an ongoing project funded by the Italian Space Agency which aims to perform measurements in the field of Fundamental Physics with the navigation satellites of the European Galileo-FOC constellation. One of the key aspects is the presence of precise atomic clocks on board the satellites. After a general introduction to the main objectives of G4S_2.0, the preliminary activities developed at IAPS-INAF in Rome concerning the measurement strategy and the consequent constraints on the presence of Dark Matter in the galaxy's halo will be presented. These activities are focused on the analysis of the clock biases of the atomic clocks estimated for each satellite of the constellation during a precise orbit determination and their comparison with on-ground reference clocks.