In the context of a dynamical Ginzburg-Landau model it is shown numeri
cally that under the influence of a homogeneous external current J the
vortex drifts against the current with velocity V=-J in agreement to
earlier analytical predictions. In the presence of dissipation the vor
tex undergoes skew deflection at an angle 90 degrees < delta < 180 deg
rees with respect to the external current. It is shown analytically an
d verified numerically that the angle delta and the speed of the vorte
x are linked through a simple mathematical relation. [S0163-1829(98)03
317-7].