扰动重力梯度的球冠谐分析建模

The Spherical Cap Harmonic Analysis Modeling Method Based on Disturbing Gravity Gradients

从球冠谐理论出发,详细推导了球冠坐标系下扰动重力梯度的无奇异性计算公式。基于Tikhonov正则化方法,利用GOCE卫星实际观测数据解算局部重力场球冠谐模型。数值计算表明,基于扰动重力梯度的球冠谐分析建模方法能够有效地恢复局部重力场中的短波信号,与GO_CONS_GCF_2_DIR_R5模型的差异在±0.3×10^(-5) m/s^2水平。

It is deduced that the non singular computational formulae of the disturbing gravity gradients based on spherical cap harmonic analysis theory.On the basis of the Tikhonov regularization method,the spherical cap harmonic model of local gravity field is calculated using GOCE satellite real surveying data.It is shown that the short wavelength information of local gravity field can be recovered from the disturbing gravity gradient data using spherical cap harmonic analysis method,and the difference with the GO_CONS_GCF_2_DIR_R5model is at±0.3×10-5m/s2.