  We investigate the sedimentation of a cloud of rigid, spherical particles of
identical radii under gravity in a Stokes fluid. Both inertia and rotation of
particles are neglected. We consider the homogenization limit of many small
particles in the case of a dilute system in which interactions between
particles are still important. In the relevant time scale, we rigorously prove
convergence of the dynamics to the solution of a macroscopic equation. This
macroscopic equation resembles the Stokes equations for a fluid of variable
density subject to gravitation.
