大地测量边值问题平面解与有限富氏分析

PLANE SOLUTION OF GEODETIC BOUNDARY VALUE AND FINITE FOURIER ANALYSIS

采用三维直角坐标下的分离变量法可以导出大地测量边值问题平面解,使用有限富氏分析可以计算大地测量边值问题中的多种卷积。本文揭示了二种方法的内在联系,表明有限富氏分析仅仅是大地测量边值问题平面解的一种特例,大地测量边值问题平面解可以更直观地解释有限富氏分析。

The plane solution of geodetic boundary value can be derived from using a separate variable method in three-dimensional rectangular coordinates; many convolution in geodetic boundary value can be computed by using the finite Fourier analysis. This paper set forth the nature relationship between two methods. It is demonstrated that the finite Fourier analysis is only one kind of special ease in geodetic boundary Value problem. The plane solution of geodetic boundary value can explain the finite Fourier analysis more easily and conveniently.