利用卫星测高垂线偏差计算其他重力场元的特性分析

摘要

Vertical deflection is widely used in determiting marine gravity field in satellite altimetry,when regarded as derived quantity.The formulae computing geoidal height,gravity anomaly and gravity disturbance by vertical deflection are given according to the definition of the boundary problem of physical geodesy in condition of spherical surface.The effects of depressing vertical deflection error are analysed in different integral formulae.The variety features of the kernel function are also discussed.The chief conclusions are given that the availability and stability of computing geoidal height is priority to that of computing gravity anormaly or gravity disturbance using sea surface grid vertical deflection in satellite altimetry.%利用卫星测高技术确定海洋重力场,垂线偏差数据作为导出观测量在实际工作中被普遍采用.利用物理大地测量边值问题的定义以及扰动位在球面边界条件下的解,给出了由垂线偏差计算大地水准面高、重力异常和扰动重力的公式.分析了不同积分计算公式在重力场阶谱表达形式下对垂线偏差误差的抑制作用,也分析了不同积分核函数的变化特性,得出基本结论:在利用卫星测高数据求解海洋重力场时,当以格网化海面垂线偏差数据计算重力场参数时,求解的大地水准面高的有效性和稳定性优于重力异常和扰动重力.