By means of a idographic example, the quaternion method and the dual Euler method are studiedand compared. Some techniques are presented for application of the quaternion method. We has discovered thatthe dual Euler method is better than the quaternion method for overcoming the singularity of the Euler equations.%通过一个具体算例对四元数法和双欧法进行了研究和比较,澄清了四元数法应用中的几个问题,并且发现双欧法比四元数法能更好地克服欧拉方程的奇异性。
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