General relativistic effects in astrophyiscal systems have been detected thanks to accurate astrometric measurements . We outline some keystones of astrometry such as stellar aberration ( argument development during the years 1727-1872 ) ; Mercury ’ s perihelion precession ( 1845-1916 ) ; solar disk oblateness ( 1966-2001 ) ; relativistic light deflection ( 1916-1919 ) ; lunar geodetic precession ( 1916-1988 ) ; Lense-Thirring and Pugh-Schiff precessions ( 1917-1959 ) , finally presenting the issue of the quest for a guide star for GP-B satellite ( 1974-2004 ) as application of all previous topics .