We simulate the motion of a massive object through a dilute Bose-Einstein c
ondensate by numerical solution of the Gross-Pitaevskii equation coupled to
an equation of motion for the object. Under a constant applied force, the
object accelerates up to a maximum velocity where a vortex ring is formed w
hich slows the object down. If the applied force is less than a critical va
lue, the object becomes trapped within the vortex core. We show that the mo
tion follows the time-independent solutions, and use these solutions to pre
dict the conditions required for vortex detachment.