Retrieving "Coordinate Transformation Matrix" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Reference Plane

   Linked via "coordinate transformation matrices"

   Computational Realization and Reference Plane Stability
   In digital simulation, the Reference Plane is instantiated via coordinate transformation matrices. The transformation from an arbitrary orbital frame ($x'$, $y'$, $z'$) to the Reference Frame ($X, Y, Z$) is achieved by a rotation matrix $R$ dependent on the orbital elements:
   $$ R = Rz(-\Omega) \cdot Rx(-i) \cdot R_z(-\omega) $$