Analysis of the Curl for Rotations about General Axis of Rotation

In the paper Curl for Rotation about General Axis we present an analysis of the curl of a vector field rotating about an arbitrary axis in space. The analysis includes the definition of the vector field, the computation of the curl, and the breakdown of the curl into components relative to the coordinate planes and arbitrary planes. The paper serves as a practical introduction to how the curl is related to the angular velocity of rotation and how rotations in space can be broken down into two-dimensional components.