Automatic control of three-dimensional vector quantities--Part 3

This is the final part of a three-part paper on the application of vector techniques to automatic control systems whose input, output, and disturbance quantities may be characterized by three-dimensional vectors. In Parts 1 and 2, position and angular velocity vectors were introduced to demonstrate the solution of coordinate conversion and geometric stabilization problems, respectively. In brief, the subject of Part 3 is Newton's Second Law, with the application of the previously defined vector algebra to problems in kinetics. In particular, the behavior of "Newtonian sensors" such as gyroscopes and accelerometers is considered in detail, in order to develop the basic equations which describe the dynamic performance of these devices, determine the errors associated with their usage, and demonstrate the application of the vector algebra to more complex systems.