  We consider the evolution of a small rigid body in an incompressible viscous
fluid filling the whole space. The motion of the fluid is modelled by the
Navier-Stokes equations, whereas the motion of the rigid body is described by
the conservation law of linear and angular momentum. Under the assumption that
the diameter of the rigid body tends to zero and that the density of the rigid
body goes to infinity, we prove that the solution of the fluid-rigid body
system converges to a solution of the Navier-Stokes equations in the full space
without rigid body.
