›› 2010, Vol. 30 ›› Issue (04): 1-8.

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基于广义正则化最小二乘的天基测向初定轨

刘光明;廖瑛;陈忠贵;   

  1. 国防科学技术大学航天与材料工程学院;中国空间技术研究院;
  • 出版日期:2010-08-25 发布日期:2010-08-25

Initial Orbit Determination with Space-based Angle Measurements Based on General Regularization Least Squares Estimation

Liu Guangming1 Liao Ying1 Chen Zhonggui2 (1 College of Aerospace and Material Engineering,National University of Defense Technology,Changsha 410073) (2 China Academy of Space Technology,Beijing 100094)   

  • Online:2010-08-25 Published:2010-08-25
  • Supported by:

    国家863基金资助项目(2007AA12Z308)

摘要: 传统天基测向初定轨的不足,主要是由于观测数据存在系统误差和观测方程组的系数矩阵病态或不可逆。文章建立观测方程的半参数回归模型,提出基于补偿最小二乘估计和岭估计的广义正则化最小二乘估计,推导了估计公式,并证明了相关统计性质。引入选主列Givens-QR分解算法,提高观测方程求解效率和数值计算稳定性。仿真结果表明:该方法应用于天基测向初定轨可行,可以提高定轨精度和解算成功率。

关键词: 天基测向, 初始定轨, 广义正则化最小二乘, 航天器

Abstract: The main deficiencies of the traditional initial orbit determination with space-based angle measurements are due to that the systematic error observation data and the coefficient matrix is ill-posed or singular. Based on the analyses,the semi-parametric regression model of observation equations was established. The general regularization least squares estimation method based on penalized least squares estimation and ridge estimation was deduced,and the correlative characteristics of the method was proved. To improve the calculating efficiency,the column pivot element Givens-QR decomposition algorithm was introduced. Experimental computation indicates that the method is effective in achieving a satisfying result.