中国空间科学技术

›› 2014, Vol. 34 ›› Issue (2): 28-35.doi: 10.3780/j.issn.1000-758X.2014.02.004

• 研究探讨 • 上一篇    下一篇

基于T-H方程的椭圆轨道初始误差传播

 曹玉辉, 樊鹏程, 白显宗, 陈磊   

  1. （国防科学技术大学航天科学与工程学院，长沙410073）
  • 收稿日期:2013-06-03 修回日期:2013-09-25 出版日期:2014-04-25 发布日期:2014-04-25
  • 作者简介:曹玉辉 1990年生，2011年毕业于武汉大学测控技术与仪器专业，现为国防科学技术大学飞行器设计专业硕士研究生。主要研究方向为空间碎片环境建模、误差分析与碰撞预警。
  • 基金资助:

    国家自然科学基金（41240031）资助项目

InitialErrorPropagationofEllipticalOrbitBasedonT-HEquation

 CAO  Yu-Hui, FAN  Peng-Cheng, BAI  Xian-Zong, CHEN  Lei   

  1. （CollegeofAerospaceScienceandEngineering，NationalUniversityofDefenseTechnology，Changsha410073）
  • Received:2013-06-03 Revised:2013-09-25 Published:2014-04-25 Online:2014-04-25

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摘要： 针对椭圆轨道误差传播问题，提出了一种基于T-H方程状态转移矩阵的初始误差传播特性分析方法。首先将空间目标真实状态和预报状态对应于一“实”一“虚”两个近距离空间目标，把预报误差看作“虚”目标相对“实”目标的相对运动，利用空间目标近距离相对运动理论来研究预报误差的特性。然后引入T-H方程状态转移矩阵分析初始误差的传播，得到了各个方向误差传播的规律。最后进行仿真验证，分别使用蒙特卡洛法和文中方法计算了典型椭圆轨道的误差传播，并与STK高精度轨道预报模型（HPOP）进行对比，得到结果的相对误差大都在2%以内，并与理论分析结果的趋势一致，证实了该方法的正确性。

关键词: 椭圆轨道, 误差传播, 相对运动, T-H方程, 状态转移矩阵, 卫星

Abstract: To study the initial error propagation of elliptical orbit,a new method was developed based on the state transition matrix of T-H equation. Firstly, the true state and predict state of one space object can be considered as two objects: a real one and a virtual one.Considering predict error as relative motion between these two objects,the relative motion theory was used to study the characteristic of error propagation. Secondly, the state transition matrix of T-H equation was introduced to analyze the propagation of initial error, with which the trend of error propagation in each direction was obtained.Finally, a simulation case was designed to validate the correctness of the new method,and the Monte-Carlo method and the new method were used to calculate error propagation of typical elliptical orbit.The results were compared with the HPOP′s results. Most of the relative error is less than 2%, and is consistent with the trend of the theoretical analysis results.

Key words: Ellipticalorbit, Errorpropagation, Relativemotion, T-Hequation, Statetransitionmatrix, Satellite