对考虑高程影响时大地距离的计算问题进行了研究,构造了一个过地球表面两已知点的新椭球,确定出了新椭球的有关参数,得到了两已知点在新椭球上的坐标,在此基础上给出了计算大地距离的非迭代法和大椭圆法。算例分析表明,当对大地距离的计算精度要求较高时,必须考虑高程的影响,该文方法可以满足高精度大地距离计算的需要。
The problem of geodetic distance calculation when the effect of geoid height should be considered is studied.A new ellipsoid that passes two known points of the earth's surface is constructed,and its parameters are determined.The geodetic coordinates of the two known points on the new ellipsoid are also derived.Based on this,the non-iterative method and the great ellipse method which can calculate geodetic distance are given.Numerical examples show that this paper's methods can satisfy the high precision requirement of geodetic distance calculation in view of the geoid height.