Acta Geodaetica et Cartographica Sinica ›› 2015, Vol. 44 ›› Issue (4): 370-376.doi: 10.11947/j.AGCS.2015.20130338

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Probability Model of Center-of-mass Calibration of Satellites' Retro-reflectors Used for Laser Ranging

ZHAO Qunhe1,2,3, WANG Xiaoya1,3, HE Bing1,2,3, ZHANG Zhongping1, CHEN Wanzhen1, CHEN Hongyu4, JIANG Hu4, HU Xiaogong1,3   

  1. 1. Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China;
    2. Graduate University of Chinese Academy of Sciences, Beijing 100049, China;
    3. State Key Laboratory of Aerospace Dynamics, Xi'an 710043, China;
    4. Shanghai Engineering Center for Microsatellites, Shanghai 201203, China
  • Received:2014-01-28 Revised:2014-11-24 Online:2015-04-20 Published:2015-04-27
  • Supported by:
    The National Natural Science Foundation of China(No.11173048);State Key Laboratory of Astronautic Dynamics(No.2013ADL-DW0104);Shanghai Key Laboratory of Space Navigation and Position Techniques(No.06DZ22101)

Abstract: Satellite laser ranging system calculates the distance from ground-based observatories to satellites using the round-trip travel time of laser pulse. The position of retro-reflectors on satellites needs to be corrected which is helpful to improvie the measuring precision of satellite laser ranging. The correction errors of center-of-mass(CoM)are mainly caused by the distribution effects of retro-reflectors on satellites.CoM is related to incident angle, structural alignment of retro-reflectors and ground-based position. Based on the reflecting probability of photons for retro-reflectors is proportional to the cross sections of retro-reflectors, the cross section area of corner reflectors is fitted and the probabilistic model is established using incident angle as the random variable. The corrections of CoMs of spherical satellite such as LAGEOS-1/2 are calculated and different CoM values are applied for SLR precise orbit determination using long-term full rate observation data with different WRMS results analyzed. At last, for the planar array retro-reflectors, the CoMs of BeiDou navigational satellite such as BeiDou-M3 are also calculated and analyzed using one month SLR full rate data. The result shows that the calculated CoMs based on probability theory have the comparative precision in SLR precise orbit determination.

Key words: satellite laser ranging (SLR), precise orbit determination, center-of-mass, BeiDou navigation satellite system, laser geodetic satellite(LAGEOS)

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