吴焕芹, 王茂才, 宋志明, 陈晓宇. 基于椭球理论的卫星入轨位置随机误差估计方法[J]. 西北工业大学学报
WU Huanqin, WANG Maocai, SONG Zhiming, CHEN Xiaoyu. A random error estimation method for satellites being launched into orbit based on ellipsoid theory[J]. Journal of Northwestern Polytechnical University

吴焕芹1, 王茂才1,2, 宋志明1,2, 陈晓宇1,2
1. 中国地质大学(武汉) 计算机学院, 湖北 武汉 430074;
2. 中国地质大学(武汉) 智能地学信息处理湖北省重点实验室, 湖北 武汉 430074
关键词:    卫星轨道    初始位置    随机误差    误差椭球    概率密度曲面   
A random error estimation method for satellites being launched into orbit based on ellipsoid theory
WU Huanqin1, WANG Maocai1,2, SONG Zhiming1,2, CHEN Xiaoyu1,2
1. School of Computer Science, China University of Geosciences(Wuhan), Wuhan 430074, China;
2. Hubei Key Laboratory of Intelligent Geo-Information Processing, China University of Geosciences(Wuhan), Wuhan 430074, China
Accurate and fast random error estimation is essential to improve satellite control. In this paper, the random error of the satellite being launched into orbit is explored. According to the uncertainty matrix of six satellite orbit parameters associated with the project, the uncertainty of the orbit position in the three axes of the geocentric inertial frame of reference is calculated via the propagation rate of the covariance matrix. Then, the random error probability density of the satellite position is constructed for normal distribution. The surface of the error with the same probability density is approximated as an ellipsoid, the size is deduced along with the ellipsoid's shape and direction, and the satellite's spatial position probability is obtained. Monte Carlo method and STK software were employed to simulate low-earth orbit micro-nano satellite launching into the same orbital position. It is confirmed that the results obtained via the theoretical model are in line with practice. Therefore, the ellipsoid theory proposed in this paper can be used to describe the satellite random position error.
Key words:    satellite orbit    initial position    random error    error ellipsoid    probability density surface   
收稿日期: 2022-09-16     修回日期:
DOI: 10.1051/jnwpu/20234140802
基金项目: 国家自然科学基金面上项目(42271391)、国家自然科学基金青年项目(62006214)与湖北省重点研发专项(2023BIB015)资助
通讯作者: 王茂才(1974—),中国地质大学(武汉)教授,主要从事航天智能优化研究。e-mail:cugwangmc@126.com     Email:cugwangmc@126.com
作者简介: 吴焕芹(1981—),中国地质大学(武汉)博士研究生,主要从事星群效能评估研究。
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