We have determined the relativistic light deflection of the quasar J0842+1835 as Jupiter passed within 3.7 ^ { \prime } on 2002 September 8 , by measuring the time delay using the VLBA and Effelsberg radio telescopes at 8.4 GHz . At closest approach , General Relativity ( GR ) predicts a radial ( static ) deflection of 1190 ~ { } \mu arcsec , and a tangential ( retarded ) deflection in the direction of Jupiter ’ s motion of 51 ~ { } \mu arcsec . Our experiment achieved an rms position error of \leq 10 ~ { } \mu arcsec , and measured this retarded deflection to be 0.98 \pm 0.19 ( rms error ) times that predicted by GR . The increased positional accuracy for this VLBI phase referencing experiment was achieved by using two calibrator sources . Comments on the interpretation of this experiment , are given .