Quaternions Applied to Missile Systems
Abstract
A constructive Euler's Theorem is followed by quaternion representation of missile three-dimensional rotations. The bordered matrix form is emphasized; lead vectors and transmuted equaternions speed computations. The n-th root of a quaternion is the starting point for algebraic recursions that are realized by software on a general purpose digital computer or by dedicated digital computer hardware. Appendices are concerned with error quaternions, four gimbal quaternions, and differential equation representation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1977
- Accession Number
- ADA052232
Entities
People
- Charles A. Halijak
Organizations
- United States Army Aviation and Missile Command