Rotation Operator

The rotation operator can be derived from examining an Infinitesimal Rotation

$$\left({d\over dt}\right)_{\rm space}= \left({d\over dt}\right)_{\rm body}+\boldsymbol{\omega}\times,$$

where $d/dt$ is the time derivative, $\boldsymbol{\omega}$ is the Angular Velocity, and $\times$ is the Cross Product operator.

See also Acceleration, Angular Acceleration, Infinitesimal Rotation