| 几何代数及其在飞行力学中的应用 |
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| 引用本文： | 邹晖,陈万春,殷兴良.几何代数及其在飞行力学中的应用[J].飞行力学,2004,22(4):60-64. |
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| 作者姓名： | 邹晖 陈万春 殷兴良 |
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| 作者单位： | 1. 北京航空航天大学,宇航学院,北京,100083
2. 中国航天科工集团,北京,100830 |
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| 摘 要： | 介绍了几何代数的基本知识,比较了几何代数与矢量代数、四元数的区别和联系,并推导了它们在表示旋转时的互相转换关系,展示了几何代数在描述空间旋转变换时的便利.最后通过相对姿态运动的分析,展示了几何代数在飞行力学中应用的可行性.
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| 关 键 词： | 几何代数 飞行力学 四元数 旋转 |
| 文章编号： | 1002-0853(2004)04-0060-05 |
| 修稿时间： | 2003年10月28 |
Geometric Algebra and Its Usage in Flight Dynamics |
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| ZOU Hui,CHEN Wan-chun,YIN Xing-liang.Geometric Algebra and Its Usage in Flight Dynamics[J].Flight Dynamics,2004,22(4):60-64. |
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| Authors: | ZOU Hui CHEN Wan-chun YIN Xing-liang |
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| Institution: | ZOU Hui~1,CHEN Wan-chun~1,YIN Xing-liang~2 |
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| Abstract: | This paper addressed the preliminary knowledge of geometric algebra. Differences and relationships between geometric algebra, vector algebra and quaternion are carried out and the transfer method is also developed. It is showed that geometric algebra has some advantages as representing a rotation. Finally a example for relative attitude dynamics of rigid bodies is introduced. |
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| Keywords: | geometric algebra flight dynamics quaternion rotating representation |
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