一种计算GOCE卫星加速度的实用算法

An Applied Algorithm to Calculate the Acceleration of GOCE Satellite

引入了一种由卫星轨道数据计算瞬时加速度的实用数值微分算法,分别采用模拟卫星轨道数据、地球重力场和稳态海洋环流探测(GOCE)卫星任务发布的几何法轨道数据验证该算法的有效性。数值模拟结果表明,采用8阶9点10s采样间隔的移动窗口多项式数值微分算法计算加速度的精度最佳,71天实测几何法轨道数据采用相同算法恢复的100阶重力场模型GOCE-PKI-AA与EIGEN-5C模型在80阶以前具有良好的一致性,GOCE-PKI-AA模型整体精度优于EIGEN-CHAMP03S,低阶(小于15)部分较欧空局发布的第一代GOCE重力场模型GO-CONS-GCF-2-TIM-R1更接近于EIGEN-5C模型。

This paper introduces an applied numerical differential algorithm to calculate the instantaneous acceleration of the satellite based on orbit data.Simulation satellite data and kinematic orbit data offered by GOCE（gravity field and steady-state ocean circulation explorer）Mission are respectively used to verify the validity of the proposed algorithm.The results of numerical simulation show that acceleration values with the best accuracy are computed by 8-order,9-point and a sampling of 10 seconds scheme based on numerical differentiation of polynomial interpolation with the kernel of moving window function. The agreement between EIGEN-5C model and recovered 100-degree gravity field model GOCE-PKI-AA by measured kinematic orbit data of71 days conducted by the same algorithm is quite good up to degree 80.The accuracy of GOCE-PKI-AA model is better than EIGEN-CHAMP03 Son the whole and is more closely related to EIGEN-5Cmodel in the low（less than 15）degrees terms than the first generation GOCE gravity field model GOCONS-GCF-2-TIM-R1 released by European Space Agency.