| 基于对偶四元数的编队飞行卫星相对位姿描述及算法研究 |
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| 引用本文： | 马可锌,王惠南,付世勇.基于对偶四元数的编队飞行卫星相对位姿描述及算法研究[J].宇航学报,2011(9). |
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| 作者姓名： | 马可锌 王惠南 付世勇 |
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| 作者单位： | 南京航空航天大学航天学院;南京航空航天大学自动化学院; |
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| 基金项目： | 国家自然科学基金(60974107); 教育部博士点基金(20070287007) |
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| 摘 要： | 针对编队飞行微小卫星,突破轨道姿态分而治之的传统模式,利用对偶四元数,提出了主从星间的相对位置和姿态统一描述方法,建立了对偶四元数卫星编队运动学模型。该方法区别于描述刚体纯旋转变换的四元数方法,将主从星的本体系之间坐标变换的旋转和平移过程进行融合、统一,并具有非常简洁的形式。同时,给出了求解模型的算法,解算出主从星间的相对位置和姿态。仿真结果表明该模型及算法科学合理,能够满足编队飞行的测控要求。
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| 关 键 词： | 卫星编队飞行 相对位姿 对偶四元数 统一描述 |
Research on Relative Position and Attitude Representation and Algorithm for Formation Flying Satellites Based on Dual-Quaternion |
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| MA Ke-xin,WANG Hui-nan,FU Shi-yong.Research on Relative Position and Attitude Representation and Algorithm for Formation Flying Satellites Based on Dual-Quaternion[J].Journal of Astronautics,2011(9). |
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| Authors: | MA Ke-xin WANG Hui-nan FU Shi-yong |
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| Institution: | MA Ke-xin1,WANG Hui-nan1,FU Shi-yong2(1.College of Astronautics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China,2.College of Automation,China) |
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| Abstract: | A unified representation of relative position and attitude based on dual-quaternion is presented for small satellite formation flight,which is a breakthrough in traditional pattern for treating orbit and attitude of satellite separately.A satellite formation kinematics model is constructed by using dual-quaternion.Differing from the quaternion solution adopted to express the pure rotation transform of rigid body,the dual-quaternion scheme is adopted to describe the coordinate transform among satellite refer... |
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| Keywords: | Satellite formation flight Relative position and attitude Dual-quaternion Unified representation |
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