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A NEW METHOD FOR CALCULATING VEHICLE ATTITUDE USING CAYLEY-KLEIN PARAMETERS

A NEW METHOD FOR CALCULATING VEHICLE ATTITUDE USING CAYLEY-KLEIN PARAMETERS
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摘要 In this paper new matrices of the Cayley-Klein parameters are used to represent composition of several consecutive finite rotations of rigid body. The general commutative rules of multiplication for these matrices is obtained. Furthermore, by using these matrices it is convenient to prove the theorem on finite rotation of rigid body. The result obtained in this paper is concise and easy to remember, and can be used to calculate vehicle attitude. In this paper new matrices of the Cayley-Klein parameters are used to represent composition of several consecutive finite rotations of rigid body. The general commutative rules of multiplication for these matrices is obtained. Furthermore, by using these matrices it is convenient to prove the theorem on finite rotation of rigid body. The result obtained in this paper is concise and easy to remember, and can be used to calculate vehicle attitude.
作者 董秋泉
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第11期1033-1038,共6页 应用数学和力学(英文版)
关键词 Cayley-Kiein parameters rigid body finite rotation vehicle attitude Cayley-Kiein parameters, rigid body, finite rotation, vehicle attitude
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