Knowledge Bank

The connection between rotation vectors and angular velocity is used to extend the curvilinear internal coordinate formulation of vibration-rotation dynamics to higher orders in the rotation vector $\rho \to =t\Sigma (I\circ -1X\circ )tSt$, which is determined by the equilibrium inertial tensor $I0$, the equilibrium Coriolis coupling matrix $X0$, and internal coordinates $St$. Third and higher order terms of the rotated ineritial tensor $I\prime$ and second and higher order terms of the rotated Coriolis coupling matrix $X\prime$ are presented and discussed.