›› 2012, Vol. 32 ›› Issue (3): 20-26.doi: 10.3780/j.issn.1000-758X.2012.03.004

• 研究探讨 • 上一篇    下一篇

基于对偶四元数的编队飞行卫星相对位姿描述

蒋锋, 王惠南, 皇超颂   

  1. (南京航空航天大学航天学院,南京 210016)
  • 收稿日期:2011-05-04 修回日期:2012-06-25 出版日期:2012-06-25 发布日期:2012-06-25
  • 作者简介:蒋锋 1990年生,现就读于南京航空航天大学航天学院,研究领域为航天制导与控制技术。
  • 基金资助:

    国家自然科学基金(60974107),国家大学生创新性实验计划(101028738)资助项目

Algorithm for Relative Position and Attitude of Formation Flying Satellites Based on Dual Quaternion

 JIANG  Feng, WANG  Hui-nan, HUANG  Chao-Song   

  1. (College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016)
  • Received:2011-05-04 Revised:2012-06-25 Online:2012-06-25 Published:2012-06-25

摘要: 为统一描述编队飞行卫星中主从星的相对位置和姿态参数,利用对偶四元数,建立编队飞行卫星运动学模型,分析其物理意义,提出了基于对偶四元数的编队飞行卫星相对位姿描述的划船算法,并利用这一算法解算出相对位置和姿态参数,突破了传统方法中将卫星轨道和姿态分而治之的方式。仿真结果表明该算法科学合理,能够有效描述编队飞行卫星间的相对位置和姿态。

关键词: 划船算法, 对偶四元数, 相对位置, 相对姿态, 姿态控制, 编队飞行卫星

Abstract: To unify the description of relative position and attitude of the formation flying satellites, a boating algorithm based on dual quaternion was proposed. Using the dual quaternion method, the kinematics model of formation flying satellites was established and its physical meanings were analyzed. This algorithm combined the solutions for relative position and attitude calculating. Simulation results indicate that the algorithm can effectively describe the relative position and attitude of formation flying satellites in a scientific and rational way.

Key words: Boating algorithm, Dual quaternion, Relative position, Relative attitude, Attitude control, Formation flying satellites