The approximate state transition matrix based on non-orthogonal decomposition and its application in orbit determination

作     者：CHEN WuShen1,2, MA JingYuan2, ZHANG Jing2 & LU BenKui2 1 Nanjing University of Technology, Nanjing 210009, China 2 Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008, China 

作者机构：Nanjing University of Technology Nanjing China (GRID:grid.412022.7) (ISNI:***) Chinese Academy of Sciences Purple Mountain Observatory Nanjing China (GRID:grid.9227.e) (ISNI:***) Chinese Academy of Sciences Purple Mountain Observatory Nanjing China (GRID:grid.9227.e) (ISNI:***) 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2010年第53卷第3期

页      面：555-561页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 070402[理学-天体测量与天体力学] 0704[理学-天文学] 

主　　题：Unit Vector Method state transition matrix non-orthogonal decomposition 

摘      要：The Unit Vector Method (UVM) is an orbit determination method extensively applied. In this paper, the UVM and classical Differential Orbit Improvement (DOI) are compared, and a fusion method is given for the orbit determination with different kind data. Based on non-orthogonal decomposition of position and velocity vectors, an approximation scheme is constructed to calculate the state transition matrix. This method simplifies the calculation of the approximate state transition matrix, analyzes the convergence mechanism of the UVM, and makes clear the defect of weight strategy in UVM. Results of orbit the determination with simulating and real data show that this method has good numerical stability and rational weight distribution.