卫星重力梯度数据的模拟研究

推导了运用地球重力场模型计算单点、格网点以及格网平均的扰动重力梯度复组合分量的公式;提出了广义球谐函数及其定积分的新算法,并利用EGM96地球重力场模型试算了全球地区卫星轨道面上的重力梯度分量的格网平均观测值;通过对角线分量满足Laplace方程的精度,验证了该算法的有效性和实用性。

Simulation of Satellite Gravity Gradient Tensor Observations

Formulae were derived that compute the complex-valued components of the gradient tensor of disturbing gravity at single point,grid points and for grid mean values.New method was proposed for the computation of the generalized spherical harmonics as well as their fixed integrals.Then grid mean observations of the components of gravity gradients at the satellite orbit of global coverage were calculated using EGM96,the results were testified using the Laplace Equation by adding the three diagonal components together,which showed the method was efficient.