TLE orbit determination using simplex method  

作　　者：Jinghong Liu Wanting Long Yunchen Wu Jin Xu Jizhang Sang Xiangxu Lei 

机构地区：[1]School of Smart City,Chongqing Jiaotong University,Chongqing 400074,China [2]Purple Mountain Observatory,Chinese Academy of Sciences,Nanjing 210023,China [3]School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China [4]School of Civil and Architecture Engineering,Shandong University of Technology,Zibo 255000,China

出　　处：《Geodesy and Geodynamics》2023年第5期438-455,共18页大地测量与地球动力学（英文版）

基　　金：supported by Chongqing Municipal Natural Science Foundation of General Program(CSTB2022NSCQMSX1093);the Science and Technology Research Program of Chongqing Municipal Education Commission(Grant No.KJQN202200701);China Postdoctoral Science Foundation(2021M703487).

摘　　要：Two-Line Element(TLE)datasets are the only orbital data source of Earth-orbiting space objects for many civil users for their research and applications.The datasets have uneven qualities that may affect the reliability of the propagated positions of space objects using a single TLE.The least squares approach to use multiple TLEs also suffers from the poor quality of some TLEs,and reliable error information cannot be available.This paper proposes a simplex algorithm to estimate an optimal TLE from multiple TLEs and obtain the uncertainty of each element.It is a derivative-free technique that can deal with various orbit types.Experiments have demonstrated that using the TLE estimated from the simplex method is more reliable,stable,and effective than those from the batch least squares method.As an application example,the optimal TLE and its uncertainty are used for predicting the fallen area,keeping the actual fallen site in the prediction areas.

关 键 词：Two-line element Reentry prediction Orbit determination Simplex method Least squares 

分 类 号：P204[天文地球—测绘科学与技术]