Mathematical Methods of Three-Dimensional Eye Rotations Based Upon Spacecraft Dynamics Notation

摘要

This report shows tutorial derivations (a form of student's guide) of all key equations needed in the research of three-dimensional eye rotations, which happens to coincide with virtually all key equations needed to understand the rotational motions of spacecrafts and missiles. Considering the fact that mathematics may not be the primary field of competence for most medical researchers, the author of this report took special care to explain the derivations from a very elementary level and to gradually progress to advanced equations in a logical, self-containing way. The author introduces some innovative ways of explaining otherwise difficult concepts and derivations in several topics.