The motion of a vortex-(anti)vortex pair is studied numerically in the
framework of a dynamical Ginzburg-Landau model, relevant to the descr
iption of a superconductor or of an idealized bosonic plasma. It is sh
own that up to a fine ''cyclotron'' internal motion, also studied in d
etail, two vortices that are brought together rotate around each other
, while a vortex and an antivortex move in formation parallel to each
other. The velocities of the vortices in both cases are measured to be
in remarkable agreement with recent theoretical predictions, down to
intervortex distances as small as their characteristic diameter.