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Chinese Journal of Space Science ›› 2020, Vol. 40 ›› Issue (6): 1102-1108.doi: 10.11728/cjss2020.06.1102

• Research Articles • Previous Articles    

TLE Orbital Determination Based on Simplex Method

LIU Jinghong1, SANG Jizhang2, LIU Hongkang2   

  1. 1 School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074;
    2 School of Geodesy and Geomatics, Wuhan University, Wuhan 430079
  • Received:2019-08-12 Revised:2019-11-13 Published:2020-12-09

Abstract: TLE database is the only public source available to orbital information, and many spatial researchers use the database to obtain an accurate orbit determination result. In the future, the number of spatial objects classified by TLE database will continue to increase. Due to the unknown and fluctuation precision of TLE data, it is necessary to use historical TLEs data to determine the orbit of TLE state at reference time. The least square method is often used to get a precise result but has its own shortcomings, such as the need for more accurate initial value, unreliable error evaluation, solution divergence. To overcome the shortcomings of the existing methods, another local search algorithm, i.e., simplex method is proposed to solve the problem of TLE orbit determination. Monto-Caro method is introduced to produce a series of initial simplex to obtain a series of local optimum solutions and avoid the local optimum solution obtained by an initial simplex. The final global optimum solution is obtained by calculating the expectation and variance of the local-optimum solution distribution. The research shows that results obtained by the simplex method can significantly reduce the position and speed errors.

Key words: Simplex method, Orbital determination, TLE

CLC Number: