大地高分量对构造工程椭球新大地坐标的影响量计算

Calculation of Geodetic Height Component Influence on New Geodetic Coordinates with Ellipsoid Transformation

由工程椭球构造方式可知,椭球膨胀后的同一点的空间直角坐标系是不变的。基于此,构造工程椭球后的新大地坐标可通过空间直角坐标过渡法进行严密换算,而换算时需要纬度、经度与大地高3个分量参与计算,但大地高分量经常不提供或精度低。本文通过将空间直角坐标进行分解,再结合空间直角坐标和大地坐标的微分关系,进一步验证大地高数值对工程椭球新大地坐标计算的影响量甚微的结论。

By the nature of the engineering ellipsoid,the space rectangular coordinates is invariant after ellipsoidal expansion.Therefore through the rectangular space coordinate invariant ellipsoid transformation to calculate the coordinates of the earth.And the conversion process need latitude,longitude and the height component to participating,but the height component is not provided frequently or low precision.This article calculates the geodetic height component influence with ellipsoid transformation through the decomposition of the space rectangular coordinates,and the differential relations of the space rectangular coordinates and geodetic coordinate.