The G4S\_2.0 Project: state of the art and SLR Campaign.

Galileo for Science (G4S_2.0), funded by ASI, has several goals in the fields of Fundamental Physics and Cosmology: i) new measurement of gravitational redshift, ii) measurement of relativistic precessions on the two Galileo FOC satellites in eccentric orbit, iii) constraints on Dark Matter in the Milky Way, iv) Relativistic Positioning System, v) development of new models for non-gravitational forces and vi) development of a new accelerometer concept for a next generation of Galileo satellites. The state of the art of the project will be presented in terms of development of perturbation models, orbit determination and clock-bias analysis in relation to dark matter constraints. Finally, the characteristics of the SLR observation campaign agreed with the ILRS will be highlighted.