不同椭球变换的物理方法

THE PHYSICAL METHOD OF THE DIFFERENTELLIPSOIDAL TRANSFORMATION

本文采用物理方法讨论不同椭球变换的问题，论证了重力位低阶球谐系数与大地坐标系转换参数的关系，说明几何法转换模型（即大地坐标微分公式）不过是取至二阶次的球谐函数微分公式，为了提高转换精度，应该采用较高阶次的物理法微分公式（即球面正交多项式）作为不同系统的转换模型。

:This paper discusses the problem of different ellipsoidal transformation. The relationship between the low order of the gravity potential coefficiants and transformation parameters is presented in this paper.The results shows that the geometrical transformation model (that is, the geodetic coordinate differential equation) is only the second order spherical harmonics differential equation, which is a appraximate formula for physical geodesy. So it is necessary to use the spherical orthogonal polynomial (that is, the differential formula of the surface harmonics) as the transformation model is order to increase transformation accuracy.