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

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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

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