利用地球重力位模型计算重力和重力梯度

高阶高精度地球重力场模型具有广泛的用途。本文利用地球重力位模型计算重力和重力梯度在应用中很有实用阶值,同时也是计算重力场其它量的关键。利用伪局部笛卡尔坐标与球坐标的关系计算了重力与重力梯度在伪局部笛卡尔坐标系下的分量;利用张量变换的原理给出了已知重力与重力梯度在某一坐标系下的分量求它们在另一坐标系下分量的方法,并具体给出了重力与重力梯度在局部笛卡儿坐标系下的分量计算公式,同时还给出计算重力场五参量与垂线偏差的计算公式,本研究推进了地球重力场的可视化进程。

COMPUTING EARTH'S GRAVITY AND GRAVITY GRADIENT USING GEOPOTENTIAL MODEL

High order, high precision geopotential models have broad application. Computing gravity and gravity gradient using geopotential models has very practical value in application, and is al- so a key to computing other quantities of gravity field. Utilizing the relation between pseudo local Cartesian coordinates and spherical coordinates, the components of gravity and gravity gradient in pseudo local Cartesian coordinate system are calculated. Using the principle of tensor transform, the method of computing the components of gravity and gravity gradient in another coordinate system by the known components of gravity and gravity gradient in certain coordinate system is presented, and the detailed formulas computing the components of gravity and gravity gradient in local Cartesian coordinate system are given. Simultaneously, the formulas computing five parameter and vertical deflection are provided. This research promotes the progress of visualization of the earth's gravity field.