Laser & Optoelectronics Progress, Volume. 59, Issue 19, 1912003(2022)

Research and Application of Lunar Laser Ranging Observation Model

Kai Huang1,3, Shangbiao Sun2, Yongzhang Yang1, Rufeng Tang1, Zhulian Li1, and Yuqiang Li1、*
Author Affiliations
  • 1Yunnan Observatories, Chinese Academy of Sciences, Kunming 650216, Yunnan, China
  • 2State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Wuhan 430079, Hubei, China
  • 3School of Astronomy and Space Science, University of Chinese Academy of Sciences, Beijing 100049, China
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    Figures & Tables(11)
    Basic principle of the LLR
    Time difference calculated by SOFA and INPOP19a methods
    Variation of the position of the corner reflector caused by lunar solid tide
    Two-way residuals of LLR data
    Two-way residuals of LLR data from Yunnan Observatory
    Standard point data processing results under different inputs. (a) INPOP19a; (b) EPM2017; (c) DE430; (d) standard point data difference between INPOP19a and EPM2017; (e) standard point data difference between INPOP19a and DE430; (f) standard point data difference between DE430 and EPM2017
    Difference between the predicted position at launch time and the CPF file
    Difference between the forecast position at the time of reception and the CPF file
    • Table 1. Reference systems used by the generative model

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      Table 1. Reference systems used by the generative model

      ComponentReference
      Lunar orbit around the earthINPOP19a
      Lunar librationINPOP19a
      Earth rotation and orientationIERS Conv.(2010)
      Relativistic propagation delayIERS Conv.(2010)
      Lorentz transform between TDB and TTIERS Conv.(2010)
      Solid earth tidesIERS Conv.(2010)
      Solid moon tidesLove number estimated with INPOP19a
      Atmospheric delayIERS Conv.(2010)
    • Table 2. Three-dimensional coordinates and average moving speed of ground station under ITRF

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      Table 2. Three-dimensional coordinates and average moving speed of ground station under ITRF

      Earth stationX /mY /mZ /mX˙ /(mm·a-1Y˙/(mm·a-1Z˙ /(mm·a-1
      Apollo-1463998.9085-5166632.76353435012.8835-0.01410.0003-0.0022
      Grasse4581692.1675556196.07304389355.1088-0.01510.01910.0118
      Haleakala-5466003.7191-2404425.93692242197.9030-0.01220.06220.0310
      Matera4641978.81001393067.53104133249.4800-0.01800.01920.0140
      McDonald-1330781.5567-5328756.37833235697.9118-0.02770.02770.0139
      MLRS 1-1330120.9826-5328532.36443236146.0080-0.01240.0009-0.0053
      MLRS 2-1330021.4931-5328403.34013236481.6472-0.01290.0015-0.0036
      Wettzell4075576.7587931785.50774801583.6067-0.01390.01700.0124
    • Table 3. Three-dimensional coordinates of reflector under PA

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      Table 3. Three-dimensional coordinates of reflector under PA

      Lunar reflectorX /mY /mZ /m
      Apollo 111591966.6111690699.545221003.7497
      Lunokhod 11114292.2641-781298.38441076058.6360
      Apollo 141652689.5835-520997.5017-109730.5271
      Apollo 151554678.304798095.6097765005.2064
      Lunokhod 21339363.3642801872.0049756358.6487
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    Kai Huang, Shangbiao Sun, Yongzhang Yang, Rufeng Tang, Zhulian Li, Yuqiang Li. Research and Application of Lunar Laser Ranging Observation Model[J]. Laser & Optoelectronics Progress, 2022, 59(19): 1912003

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Sep. 13, 2021

    Accepted: Oct. 19, 2021

    Published Online: Sep. 23, 2022

    The Author Email: Li Yuqiang (lyq@ynao.ac.cn)

    DOI:10.3788/LOP202259.1912003

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