中国空间科学技术2012，Vol.32Issue(3)：20-26,34,8.DOI:10.3780/j.issn.1000-758X.2012.03.004
基于对偶四元数的编队飞行卫星相对位姿描述
Algorithm for Relative Position and Attitude of Formation Flying Satellites Based on Dual Quaternion
摘要
Abstract
Precision of navigation satellite orbit determination is an important factor for the operation of the constellation navigation system. However, there are many problems in the field of navigation satellite ground-base orbit determination, such as low accuracy and high computational complexity. To find potential solutions of these problems, the ground-base orbit determination algorithm of navigation satellites was studied by one-way and passive measuring mode. The state process and the observation model were derived to establish the filter model, with pseudo-range between a monitor station and a satellite as the measurement, and parameters of the satellite clock as elements of the filtering state vector. Based on four GPS satellites in different orbital planes, a two-day simulation was designed to verify the algorithm. Considering the visibility of the satellite, an interruption of measurement between measuring process was introduced, a strategy for restarting the filter was proposed. The simulation results show that the position estimation error is less than 10 meters and the clock bias estimation error is less than 10 ns for all the four satellites. Furthermore, it could keep the previous filtering performance after the filter restarting. All these results indicate that this algorithm is convergent and stable.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Key words
Ground-base/orbit determination/Filtering algorithm/One-way pseudo-range measurement/Navigation satellite引用本文复制引用
蒋锋,王惠南,皇超颂..基于对偶四元数的编队飞行卫星相对位姿描述[J].中国空间科学技术,2012,32(3):20-26,34,8.基金项目
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 （60974107）
