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傅里叶级数拟合LEO轨道误差下的BDS/GPS/LEO精密单点定位
引用本文:李相君,叶小舟,刘文祥,王飞雪. 傅里叶级数拟合LEO轨道误差下的BDS/GPS/LEO精密单点定位[J]. 全球定位系统, 2021, 46(6): 16-24. DOI: 10.12265/j.gnss.2021071901
作者姓名:李相君  叶小舟  刘文祥  王飞雪
作者单位:国防科技大学 电子科学学院, 长沙 410073
摘    要:针对目前多数低轨道地球卫星(LEO)设计处于初步论证阶段,LEO轨道无法精确获取,轨道误差难以准确表述的问题,提出了一种傅里叶级数拟合LEO轨道误差下的BDS/GPS/LEO精密单点定位(PPP)分析方法.该方法根据LEO精密定轨后的轨道误差呈现准周期正弦特性,利用傅里叶级数拟合LEO轨道误差,并仿真生成LEO观测数据...

关 键 词:傅里叶级数  低轨道地球卫星(LEO)  轨道误差  精密单点定位(PPP)  定位精度  收敛时间
收稿时间:2021-07-19

BDS/GPS/LEO precise point positioning based on fourier series fitting LEO orbit error
Affiliation:College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, China
Abstract:In view of the problems that most of the low earth orbit (LEO) constellation designs are in the preliminary demonstration stage, the LEO orbit cannot be accurately obtained, and the orbit error is difficult to express accurately, BDS /GPS/LEO precise point positioning (PPP) based on Fourier series fitting LEO orbit error is proposed. Since the orbit error presents a quasi-periodic sinusoidal characteristic, the Fourier series is used to fit the LEO orbit error, and the LEO observation data and ephemeris products are generated by simulation. Finally, the influence of LEO orbit error on the accuracy and convergence time of BDS/GPS/LEO PPP is analyzed. The simulation results show that the BDS/GPS/LEO PPP error increases gradually with the increase of the LEO orbit error, but it is not significantly related to the station latitude and the LEO constellation configuration. And in order to ensure the convergence time of BDS/GPS/LEO PPP in the global area shorter than that of BDS/GPS PPP, the root mean square (RMS) of the LEO orbit error should be less than 5 cm, 11 cm, 12 cm in the 6×10,12×10,18×10 LEO constellation configuration respectively. 
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