Verified Solutions using Rotation Operators for Combining Rotations

Shuh-Jing Ying
2019 ASEE Annual Conference & Exposition Proceedings   unpublished
Combining two rotations into one is described in detail in the book Advanced Dynamics by Shuh Jing Ying. The solutions are available, but not explicitly verified. This is a very important subject. The repeated use of the combination of two rotations into one allows the combination of many rotations into one. This is especially useful when time is of the essence, such as during calculations for a guided missile in mid-air. In this paper, the solutions are verified by substituting results back
more » ... ing results back into the original equation. The process is tedious and details will be presented in the conference. In addition, an implementation strategy using a ball joint is proposed so the theoretical equations may be related to a practical application, a specific example will be presented in the conference.
doi:10.18260/1-2--33531 fatcat:t4sw4mzemrafjo6r3khc4rkmdy