椭球点空间直角坐标转换的研究

On the transformation of rectan-gular coordinates in space of points on the ellipsoidal surface

地面点沿着法线方向投影到椭球面上的点称为椭球点。同一地面点在不同三维空间直角坐标系下投影的椭球点称为同名椭球点。本研究利用"布尔沙"模型进行不同坐标系下同名椭球点的三维空间直角坐标之间转换问题,即从经典"布尔沙"模型出发,利用最小二乘原理推导同名椭球点三维空间直角坐标之间的坐标转换原理,叙述转换的方法步骤,并用实例证明方法的可行性。

The point at which the ground point is projected onto the ellipsoidal surface along the normal direction is called an ellipsoidal point.The ellipsoidal points of one ground point projected in different 3D spatial rectangular coordinate systems are called the same-named ellipsoidal points.This paper explores the use of the Bursa model to transform the 3D spatial rectangular coordinates of the same-named ellipsoidal points in different coordinate systems,which is to deduce the transforming principle of the 3D spatial rectangular coordinates of the same-named ellipsoidal points in different coordinate systems by using of the classical Bursa model and the least squares principle,to narrate the methods and steps of the transformation and to prove the feasibility of the method with examples.