A New Method for Calculating Vehicle Attitude Using Cayley-Klein Parameters

Dong Qiu-quan

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Dong Qiu-quan. A New Method for Calculating Vehicle Attitude Using Cayley-Klein Parameters[J]. Applied Mathematics and Mechanics, 1993, 14(11): 979-984.

Citation:

Dong Qiu-quan. A New Method for Calculating Vehicle Attitude Using Cayley-Klein Parameters[J]. Applied Mathematics and Mechanics, 1993, 14(11): 979-984.

Citation:

Dong Qiu-quan. A New Method for Calculating Vehicle Attitude Using Cayley-Klein Parameters[J]. Applied Mathematics and Mechanics, 1993, 14(11): 979-984.

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A New Method for Calculating Vehicle Attitude Using Cayley-Klein Parameters

Dong Qiu-quan

Northwestern Polytechnical University, Xi'an

Received Date: 1990-03-27
Publish Date: 1993-11-15

Abstract

Abstract

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.
- Cayley-Kiein parameters,
- rigid body,
- finite rotation,
- vehicle attitude

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References(4)

References

[1]	Ickes,B.P.,Anew method for performing digital control system aittitude computation using quaternios,AIAA.,8(1)(1970).
[2]	肖尚彬,四元数矩乘法及其可易性,力学学报.16(2)(1984),150-166.
[3]	张光枢,刚体有限转动合成的可交换性,力学学报,4(1982),361-388.
[4]	Beggs,J.S Pestel's theorem on finite rotions,ACTA,Mechanica,20(1974)1-2.