| 欧拉刚体有限转动定理几何证明 |
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| 引用本文： | 高崚嶒.欧拉刚体有限转动定理几何证明[J].新乡师范高等专科学校学报,2007,21(5):20-22. |
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| 作者姓名： | 高崚嶒 |
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| 作者单位： | 南京工业职业技术学院,基础课部,江苏,南京,210046 |
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| 摘 要： | 利用向量投影及解析几何知识研究了欧拉有限转动定理。
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| 关 键 词： | 四元数 刚体有限转动 欧拉轴 一次转动角 初始姿态 最终姿态 投影 向量 |
| 文章编号： | 1008-7613（2007）05-0020-03 |
| 修稿时间： | 2007-05-31 |
On Euler's Theorem about Finite Rotation of Rigid Body Geometrically |
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| GAO Lin-cen.On Euler''''s Theorem about Finite Rotation of Rigid Body Geometrically[J].Journal of Xinxiang Teachers College,2007,21(5):20-22. |
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| Authors: | GAO Lin-cen |
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| Institution: | Nanjing Institute of Industrial Technology , Nanjing 210046, China |
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| Abstract: | Euler used geometrical methods to study systematically the problem of a rigid body's rotation about a fixed axis or a fixed-point.Euler put forward the concept of Euler angle,building up Euler's Kinetics equation and the theorem of finite rotation of a rigid body.Making use of the vector projection and analytic geometry knowledge also can study Euler's theorem. |
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| Keywords: | quatemion finite rotation of rigid body Euler axis once rotate angular initial carriage final carriage projection vector |
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