引用本文: 秦显平, 杨元喜. 平方根滤波/平滑/双向滤波在LEO星载GPS定轨中的应用[J]. 武汉大学学报 ( 信息科学版), 2009, 34(10): 1176-1180.
QIN Xianping, YANG Yuanxi. Applications of Square Root Filtering/Smoothing/ Bidirectional Filtering on GPS-based Orbit Determination for LEO[J]. Geomatics and Information Science of Wuhan University, 2009, 34(10): 1176-1180.
 Citation: QIN Xianping, YANG Yuanxi. Applications of Square Root Filtering/Smoothing/ Bidirectional Filtering on GPS-based Orbit Determination for LEO[J]. Geomatics and Information Science of Wuhan University, 2009, 34(10): 1176-1180.

## Applications of Square Root Filtering/Smoothing/ Bidirectional Filtering on GPS-based Orbit Determination for LEO

• 摘要: 讨论了平方根滤波、卡尔曼平滑和双向滤波对卡尔曼滤波的改进,采用平方根滤波/平滑/双向滤波3种算法计算了两颗GRACE卫星轨道。采用GRACE(gravity recovery and climate experiment)卫星的星载GPS观测数据进行了定轨计算,并用JPL提供的GRACE卫星轨道及KBR(K-band ranging system)观测数据进行了外部检验。

Abstract: In the paper,the improvements of square root filtering,Kalman smoothing and bidirectional filtering on Kalman filtering is discussed.Two GRACE satellites orbits are computed by using square root filtering/ smoothing/ bidirectional filtering.The results are compared with the orbits provided by JPL and independently validated with k-band ranging(KBR) data.By comparison and analysis,we find that POD using fixed-interval Kalman smoothing can improve the accuracy of square root extended Kalman filtering(SR-EKF) result at the beginning of the data arc.The result of bidirectional filtering can not only improve the accuracy of SR-EKF result at the beginning of the data arc evidently,but also improve the accuracy of orbits after steady of SR-EKF.We also find that the orbits of GRACE which computed using SR-EKF are at a level of about 20 cm in 3-Dimension position and about 10 cm in radial(R),transverse(T) and normal(N) direction respectively.The result of fixed-interval Kalman smoothing can get 15 cm in 3-Dimension position and about 8 cm in radial(R),transverse(T) and normal(N) direction respectively.The result of bidirectional filtering can get 10 cm in 3-Dimension position and about 5 cm in radial(R),transverse(T) and normal(N) direction respectively.

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