Acta Geodaetica et Cartographica Sinica ›› 2019, Vol. 48 ›› Issue (10): 1236-1243.doi: 10.11947/j.AGCS.2019.20180373

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Effect analysis of the weighting scheme with modified FCM clustering algorithm on precision of SLR orbit determination

SHAO Fan1,2,4, WANG Xiaoya1,2,3,4, HE Bing1,2, ZHANG Jing1,2   

  1. 1. Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China;
    2. University of Chinese Academy of Sciences, Beijing 100049, China;
    3. Shanghai Key Laboratory of Space Navigation and Positioning Techniques, Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China;
    4. State Key Laboratory of Aerospace Dynamics, Xi'an 710043, China
  • Received:2018-08-13 Revised:2018-11-14 Online:2019-10-20 Published:2019-10-24
  • Supported by:
    The Special Project of Basic Work of Science and Technology of the Ministry of Science and Technology of China (No. 2015FY310200);The National Key Research and Development Program of China (No. 2016YFB0501405);The Open Fund of Shanghai Key Laboratory of Space Navigation and Positioning Techniques (No. 06DZ22101)

Abstract: As to the problem of reasonable weighting of station observations in the precise orbit determination of satellite laser ranging (SLR), a modified fuzzy c-means(FCM) clustering algorithm is introduced into the determination of the weights of SLR station observations. Based on the SLR global performance report card provided by the International Laser Ranging Service (ILRS), it is performed that a near real-time sliding reweighting of the station, aiming to change the experienced or somewhat arbitrary weights in the SLR data processing. The orbit of satellite LAGEOS 1 from Jan. 2014 to Dec. 2016 is computed from the SLR data. The results show that the clustering carried out considering only the three variables in the SLR global performance report card:LAGEOS normal point volume, LAGEOS normal point RMS, and percentage of LAGEOS normal point accepted can improve the precision of orbit determination and the efficiency of station observations to the maximum extent. For the 365 3-day arcs involved in the calculation, the precision of the 91.46% arc segment is improved, and the average increase is about 3.7 mm. Additionally, the root mean square (RMS) of the observational residual of individual station is also reduced, which is crucial for SLR technology that is moving towards millimeter-scale measurement precision.

Key words: satellite laser ranging, precise orbit determination, modified FCM clustering algorithm, SLR global performance report card

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