| 矢阵与四元数的关系及其在飞行力学中的应用 |
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| 引用本文： | 陈万春,肖业伦.矢阵与四元数的关系及其在飞行力学中的应用[J].宇航学报,1997,18(1):23-30. |
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| 作者姓名： | 陈万春 肖业伦 |
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| 作者单位： | 北京航空航天大学宇航学院 |
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| 摘 要： | 本文将矢阵引入到四元数的表示当中，首次提出了矢阵的四元数“圈积”的概念，并由此规定了关于四元数的扩展矢阵和扩展矢阵圈算子。在此框架下严密而系统地导出了四元数的常用关系。本方法概念清晰、形式化美、逻辑性强，具有理论和应用价值
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| 关 键 词： | 扩展矢阵 扩展矢阵圈积算子 四元数 坐标变换 刚体运动学 |
VECTRIXIZED QUATERNION AND ITS APPLICATION IN FLIGHT DYNAMICS |
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| Chen Wanchun,Xiao Yelun.VECTRIXIZED QUATERNION AND ITS APPLICATION IN FLIGHT DYNAMICS[J].Journal of Astronautics,1997,18(1):23-30. |
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| Authors: | Chen Wanchun Xiao Yelun |
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| Institution: | Beijing University of Aero Astronautics |
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| Abstract: | In this paper Vectrix is used for the expression of quaternion; the concept of quaternion circleproduct of vectrixes is proposed for the first time,hence the extended Vectrix and its circle preoduct operator are defined;the relations about quaternion are derived rigorously under such frame;the method used in this paper has the properties of clear concept,elegant form,rigorous logic and of theoretical and practical value |
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| Keywords: | Extended Vectrix Circle product operator of extended vectrix Coordinate transformation Quaternion kinematics of rigid body |
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