Hydrodynamic resistance matrix
= Hydrodynamic resistance matrix
At fixed orientation, linearity of Stokes flow relates a rigid body's translational velocity $\mathbf U$ to the hydrodynamic force $\mathbf F$ by
$$
\mathbf F=-\mathbf R\mathbf U.
$$
The Lorentz reciprocal theorem makes $\mathbf R$ symmetric, and positive viscous dissipation makes it positive definite.