测绘学报

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基于空域最小二乘法求解GOCE卫星重力场的模拟研究

徐新禹1,李建成2,邹贤才3,王正涛3   

  1. 1. 武汉大学
    2. 武汉大学 测绘学院
    3. 武汉大学测绘学院
  • 收稿日期:2010-12-06 修回日期:2011-02-10 出版日期:2011-12-25 发布日期:2011-12-25
  • 通讯作者: 徐新禹

Simulation Study for Recovering GOCE Satellite Gravity Model Based on Space-Wise LS Method

  • Received:2010-12-06 Revised:2011-02-10 Online:2011-12-25 Published:2011-12-25

摘要: 本文论述了最小二乘过程中有色噪声的处理方法,提出使用AR模型对GOCE梯度观测值中的有色噪声进行时域滤波,数值模拟结果验证了该方法的有效性。利用数值模拟验证了直接求逆方法和PCCG法求解大型法方程的有效性,后者的效率远远高于前者。联合加入噪声(有色噪声和白噪声)的卫星重力梯度张量径向分量观测值Vzz和SST观测值,分别使用空域最小二乘法和SA方法恢复了180阶全球重力场模型,前者求解重力场模型的大地水准面和重力异常在180阶次的精度分别为3.01cm和0.75mGal,优于SA方法求解模型的精度。

Abstract: The approach to deal with the colored noise in Space-Wise LS was discussed in this paper. The AR filter was proposed to process the colored noise in the GOCE satellite gravity gradiometry, which was validated by the numerical results. The PCCG approach method and the direct inverse for solving the large normal equation are also verified by the numerical analysis. And the former approach is much faster than the latter one. Combing the radial component Vzz of the simulated gravity gradient tensor with colored noise and SST observation with white noise, the global gravity field model up to degree and order 180 was estimated by the Space-Wise LS method and the SA approach respectively. The accuracies of geoid and gravity anomaly of the global gravity field model estimated from the Space-Wise LS method are 3.01cm and 0.75mGal respectively, which are better than them from the SA approach.