  In this paper we study the motion of a rigid body driven by Newton's law
immersed in a stationary incompressible Stokes flow occupying a bounded simply
connected domain. The aim is that of trajectory tracking of the solid by the
means of a control in the form of Dirichlet boundary data on the outside
boundary of the fluid domain. We show that it is possible to exactly achieve
any smooth trajectory for the solid that stays away from the external boundary,
by the means of such a remote control. The proof relies on some density methods
for the Stokes system, as well as a reformulation of the solid equations into
an ODE.
