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Author(s): Shuh Jing Ying

Combining two rotations into one is described in detail in the book Advanced Dynamics by Shuh Jing Ying. The solutions are available, and are verified as presented in the 2019 ASEE Annual Conference. 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 for a guided missile shooting enemy’s missile in the mid-air. So this is a very important subject. However when carefully looking into details, it is discovered that there are three possible solutions. One is verified to be the true solution the other two are discussed, proof not to be the solution.  A numerical example is given to illustrate the situation. Details are given in this paper.

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