Circulation and Angular Momentum in theAPhase of Superfluid Helium-3

It is shown that the curl of the velocity field generally identified with ${\overrightarrow{\mathrm{v}}}_s$ in the $A$ phase of superfluid ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ is entirely determined in the absence of singularities by the spatial gradients of the order-parameter symmetry axis $\overrightarrow{\mathrm{l}}$. As a simple application of this relation it is argued that in a texture of cylindrical symmetry in a volume $V$, the liquid should have a nonvanishing thermal-equilibrium orbital angular momentum of order ${\rho }_s\frac{V\hslash }{M}$.