苏勇, 范东明, 蒲星钢, 游为, 肖东升, 于冰. 联合GOCE卫星数据和GRACE法方程确定SWJTU-GOGR01S全球重力场模型[J]. 武汉大学学报 ( 信息科学版), 2018, 43(3): 457-463. DOI: 10.13203/j.whugis20150100
引用本文: 苏勇, 范东明, 蒲星钢, 游为, 肖东升, 于冰. 联合GOCE卫星数据和GRACE法方程确定SWJTU-GOGR01S全球重力场模型[J]. 武汉大学学报 ( 信息科学版), 2018, 43(3): 457-463. DOI: 10.13203/j.whugis20150100
SU Yong, FAN Dongming, PU Xinggang, YOU Wei, XIAO Dongsheng, YU Bing. New Static Gravity Field Model SWJTU-GOGR01S Derived from GOCE Data and GRACE Normal Equation[J]. Geomatics and Information Science of Wuhan University, 2018, 43(3): 457-463. DOI: 10.13203/j.whugis20150100
Citation: SU Yong, FAN Dongming, PU Xinggang, YOU Wei, XIAO Dongsheng, YU Bing. New Static Gravity Field Model SWJTU-GOGR01S Derived from GOCE Data and GRACE Normal Equation[J]. Geomatics and Information Science of Wuhan University, 2018, 43(3): 457-463. DOI: 10.13203/j.whugis20150100

联合GOCE卫星数据和GRACE法方程确定SWJTU-GOGR01S全球重力场模型

New Static Gravity Field Model SWJTU-GOGR01S Derived from GOCE Data and GRACE Normal Equation

  • 摘要: 联合地球重力场和海洋环流探测器(Gravity Field and Steady-State Ocean Circulation Explorer,GOCE)和重力恢复与气候实验(Gravity Recovery and Climate Experiment,GRACE)卫星观测数据确定全球静态重力场模型是当前大地测量学的研究热点之一。联合近3 a的GOCE卫星梯度数据和7 a左右的GRACE星间距离变率数据计算的ITG-GRACE2010S模型的法方程恢复了210阶次的重力场模型SWJTU-GOGR01S。采用带通数字滤波方法处理GOCE卫星的4个高精度梯度观测分量,利用梯度数据恢复重力场模型的观测方程直接建立在梯度仪坐标系中,可以避免坐标转换过程中高精度的梯度观测分量受低精度分量的影响;联合法方程解的最优权采用方差分量估计迭代计算,GOCE数据的两极空白引起的病态问题采用Kaula正则化方法进行约束。基于EIGEN-6C2模型和北美地区的GPS水准网观测数据,对SWJTU-GOGR01S模型进行内外符合精度分析,结果表明,SWJTU-GOGR01S模型在210阶次的大地水准面误差和累计误差分别为1.3 cm和5.7 cm,精度与欧洲空间局公布的第四代时域法模型相当,略优于GOCO02S和GOCO03S模型的精度。

     

    Abstract: Global static gravitational field determined by GOCE and GRACE satellite data has become a hotspot in current research of geodesy. In this paper, a satellite-only global static gravity field model entitled SWJTU-GOGR01S up to degree and order 210 is recovered based on 3 years of GOCE gravity gradient data and ITG-GRACE2010S model's normal equation from 7 years GPS and K-band rang rate data. Four high precision GOCE gradiometer components (Vxx, Vyy, Vzz, Vxz) are filtered by the zero phase finite impulse band-pass digital filter, and then gradient observation equation is founded directly in gradiometer coordinates which avoids the loss of gradiometer component in accuracy in the conversion process. The optimal weight of the combination result of GOCE and GRACE data is determined by variance component estimation and the GOCE data polar gaps is dealt with the Kaula regularization method. Comparing the internal and external precision of SWJTU-GOGR01S with EIGEN-6C2 and GPS leveling data of North America, the results show that the geoid error and cumulative error of the SWJTU-GOGR01S model with degree and order 210 are 1.3 cm and 5.7 cm respectively. Compared with the fourth generation direct approach and time-wise approach models released by ESA, GOCO02S and GOCO03S model, the accuracy of the model SWJTU-GOGR01S is verified basically consistent with the model TIM-R4. The precision of SWJTU-GOGR01S model is also better than GOCO02S and GOCO03S model.

     

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