Volume 40 Issue 6
Nov.  2020
Turn off MathJax
Article Contents
LIU Jinghong, SANG Jizhang, LIU Hongkang. TLE Orbital Determination Based on Simplex Method[J]. Journal of Space Science, 2020, 40(6): 1102-1108. doi: 10.11728/cjss2020.06.1102
Citation: LIU Jinghong, SANG Jizhang, LIU Hongkang. TLE Orbital Determination Based on Simplex Method[J]. Journal of Space Science, 2020, 40(6): 1102-1108. doi: 10.11728/cjss2020.06.1102

TLE Orbital Determination Based on Simplex Method

doi: 10.11728/cjss2020.06.1102
  • Received Date: 2019-08-12
  • Rev Recd Date: 2019-11-13
  • Publish Date: 2020-11-15
  • 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.

     

  • loading
  • [1]
    KELSO T S. Validation of SGP4 and IS-GPS-200D Against GPS precision ephemerides[C]//In Proceedings of the 17th AAS/AIAA Space Flight Mechanics Conference. Sedona: American Astronautical Society, 2007
    [2]
    GEUL J, MOOIJ E, NOOMEN R. GOCE statistical re-entry predictions[C]//Proceedings of 7th European Conference on Space Debris. Darmstadt: ESA Communications, 2017
    [3]
    LEGENDRE P, DEGUINE B, GARMIER R, et al. Two line element accuracy assessment based on a mixture of Gaussian laws[C]//AIAA/AAS Astrodynamics Specialist Conference and Exhibit. Colorado: American Institute of Aeronautics and Astronautics, 2006:6518
    [4]
    OSWEILER V P. Covariance Estimation and Autocorrelation of NORAD Two-Line Element Sets[D]. Alabama: Air University, 2006
    [5]
    WANG R, LIU J, ZHANG Q M. Propagation errors analysis of TLE data[J]. Adv. Space Res., 2009, 43(7):1065-1069
    [6]
    RACELIS D, JOERGER M. High-integrity tle error models for meo and geo satellites[C]//2018 AIAA SPACE and Astronautics Forum and Exposition. Orlando: AIAA Space Forum, 2018:5241
    [7]
    SPERETTA S, SUNDARAMOORTHY P, GILL E. Long-term performance analysis of NORAD Two-Line Elements for CubeSats and PocketQubes[C]//Proceedings of the 11th IAA Symposium on Small Satellites for Earth Observation. Berlin: DLR, 2017:1-6
    [8]
    VALLADO D, CRAWFORD P. SGP4 Orbit Determination[C]//AIAA/AAS Astrodynamics Specialist Conference & Exhibit. Honolulu: American Institute of Aeronautics and Astronautics, 2008:558-570
    [9]
    NELDER J A, MEAD R. A simplex method for function minimization[J]. Comput. J., 1965, 7(4):308-313
    [10]
    SU Tashan. Optimization Computation Principle and Algorithm Programming[M]. Changsha: National Defense University of Science and Technology Press, 2001(粟塔山. 最优化计算原理与算法程序设计[M]. 长沙: 国防科技大学出版社, 2001)
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article Views(288) PDF Downloads(42) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return