  Exact expressions are derived for the pair and three-body hydrodynamic
interactions between a sphere and a number of small particles immersed in a
viscous incompressible fluid. The analysis is based on the Stokes equations of
low Reynolds number hydrodynamics. The results follow by a combination of the
solutions for flow about a sphere with no-slip boundary condition derived by
Stokes and Kirchhoff, and the result derived by Oseen for the Green tensor of
Stokes' equations in the presence of a fixed sphere.
