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.
ZHAO Qunhe
,
WANG Xiaoya
,
HE Bing
,
ZHANG Zhongping
,
CHEN Wanzhen
,
CHEN Hongyu
,
JIANG Hu
,
HU Xiaogong
. Probability Model of Center-of-mass Calibration of Satellites' Retro-reflectors Used for Laser Ranging[J]. Acta Geodaetica et Cartographica Sinica, 2015
, 44(4)
: 370
-376
.
DOI: 10.11947/j.AGCS.2015.20130338
[1] SEEBER G. Satellite Geodesy[M]. Berlin: Walter de Gruyter, 2003: 424-436.
[2] GURTNER W, NOOMEN R, PEARLMAN M R. The International Laser Ranging Service: Current Status and Future Developments[J]. Advances in Space Research, 2005, 36(3): 327-332.
[3] WAN Qiang, GUO Yanlong, WANG Xiaobing, et al. Present Status and Progress of Laser Cooperative Targets for SLR[J]. Laser & Optoelectronics Progress, 2005, 42(5): 20-23, 29. (万强, 郭延龙, 王小兵, 等. 卫星激光测距合作目标技术现状和进展[J]. 激光与光电子学进展, 2005, 42(5): 20-23, 29.)
[4] APPLEBY G M. Satellite Signatures in SLR Observations[C]//Proceedings of the 8th International Workshop on Laser Ranging Instrumentation. Annapolis: NASA, 1993: 3-19.
[5] FAN Jianxing, YANG Fumin, CHEN Qixiu. Theoretical Analysis and Numerical Solution of Laser Pulse Transformation for Satellite Laser Ranging[J]. Science in China Series A: Mathematics,2001, 44(7): 915-922.
[6] OTSUBO T, APPLEBY G M. System-dependent Center-of-mass Correction for Spherical Geodetic Satellites[J]. Journal of Geophysical Research, 2003, 108(B4): 2201-2210.
[7] ZHAO Gang, WANG Xiaoya, WU Bing. Effect Analysis of System-dependent Center-of-mass Correction on Precision of SLR Orbit Determination[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(2): 165-170. (赵罡, 王小亚, 吴斌. 不同测站卫星质心不同改正对卫星激光测距定轨精度的影响分析[J]. 测绘学报, 2012, 41(2): 165-170.)
[8] FAN Jianxing, YANG Fuming, CHEN Qixiu. Center-of-mass Model of Satellites Used for Laser Ranging[J]. Acta Photonica Sinica, 2000, 29(11): 1012-1016. (范建兴, 杨福民, 陈启秀. 激光测距卫星的质心改正模型[J]. 光子学报, 2000, 29(11): 1012-1016.)
[9] NEUBERT R. An Analytical Model of Satellite Signature Effects[C]//9th International Workshop on Laser Ranging Instrumentation.Canberra, Australia: Australia Government Publishing Service, 1994: 82-91.)
[10] VARGHESE T K, SELDEN M, OLDHAM T, et al. Test Results from LAGEOS-2 Optical Characterization Using Pulsed Lasers[C]//Proceedings of the 8th International Workshop on Laser Ranging Instrumentation.1992.)
[11] FAN Jianxing, YANG Fuming, CHEN Qixiu. Theoretical Analysis and Numerical Calculation of Laser Pulse Waveform Changes in the Satellite Laser Ranging[J]. Science in China(Series A), 2001, 31(1): 63-69. (范建兴, 杨福民, 陈启秀. 卫星激光测距中激光脉冲波形变化的理论分析及数值计算[J]. 中国科学(A辑), 2001, 31(1): 63-69.)
[12] QU Feng, WANG Tanqiang, CHEN Xianjun, et al. Precise Orbit Determination of GPS35 Satellite Using SLR Data[J]. Acta Geodaetica et Cartographica Sinica, 2003, 32(3): 224-228. (瞿锋, 王谭强, 陈现军, 等. 用SLR资料精密确定GPS35卫星轨道[J]. 测绘学报, 2003, 32(3): 224-228.)
[13] QU Feng, WANG Tanqiang, CHEN Xianjun, et al. The Comparison of SLR Orbit with IGS Orbit for GPS35 Satellite[J]. Bulletin of Surveying and Mapping, 2002(2): 14-16. (瞿锋, 王谭强, 陈现军,等. GPS35卫星的SLR轨道与IGS轨道的联合比较[J]. 测绘通报, 2002(2): 14-16.)
[14] LIU Yuqiong, ZHANG Yaowen, WU Jixian. Evaluation of GPS35 Satellite Precise Orbit with SLR Measurements[J]. Engineering of Surveying and Mapping, 2007, 16(2): 36-38, 50. (刘宇琼, 张耀文, 吴吉贤. 利用SLR检核GPS35卫星精密轨道[J]. 测绘工程, 2007, 16(2): 36-38, 50.)
[15] APPLEBY G M, OTSUBO T, PAVL1S E C. Cannonbal Spacecraft Center of Mass Offset Modeling[C]//International Laser Ranging Service 2007-2008 Report. Greenbelt: NASA, 2009: 3-5.
[16] SHENG Yuan. The Theoretical Calculation about the Properties of Angle of Body Cooperation Target[J]. Laser & Infrared, 1973(12): 1-15. (声远. 关于角体合作目标性质的理论计算[J]. 激光与红外, 1973, (12): 1-15.)
[17] FENG Chugang, ZHU Yuanlan, ZHANG Feipeng. Determination of LAGEOS Satellite's Precise Orbits and Residual Analysis[J]. Acta Astronomica Sinica, 2003, 44(1): 55-64.(冯初刚, 朱元兰, 张飞鹏, 等. LAGEOS卫星精密定轨及残差分析[J]. 天文学报, 2003, 44(1): 55-64.)
[18] TAPLEY B D. Statistical Orbit Determination Theory[C]//Proceedings of the NATO Advanced Study Institute. Dordrecht: Reidel, 1973:396-425.
[19] Satellite Missions Infomation[Z]. http://edc.dgfi.badw.de:8080/satellite_missions/list_of_satellites/cmi3_reflector.html.
[20] SHEN Xiumei. Using SLR to Determine Satellite LAGEOS's Precisely Orbit[D]. Qingdao: Shandong University of Science and Technology, 2011. (申秀梅. 基于SLR技术的LAGEOS卫星精密定轨[D]. 青岛: 山东科技大学, 2011.)
[21] QIN Xianping. The Precise Orbit Determination of Satellite Laser Ranging[D]. Zhengzhou: PLA Information Engineering University, 2003. (秦显平. 基于SLR技术的卫星精密定轨[D]. 郑州: 中国人民解放军信息工程大学, 2003. )
