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A non-perturbative general relativistic approach to global astrometry was developed by de Feliceet al.(1998) to handle satellite astrometry data in a genuine relativistic framework. In this contribution, the framework above has been further exploited to account for stellar motions and parallax. Because of the relevance that accurate knowledge (to 10−5or better) of the relativistic parameter γ has to fundamental physics, a Parametrized Post-Newtonian (PPN) model has also been implemented, whichdoi:10.1017/s0252921100000452 fatcat:sfx4mf6jzjdjvkoxjur5hfb4ze