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为了引潮位展开，文中定义了一种完全规格化的面球谐函数，同时根据勒让德（Ｌｅｇｅｎｄｒｅ）函数以及契比雪夫（Ｃｈｅｂｙｓｈｅｖ）多项式之递推公式，导出一组面球谐函数的递推公式．据此改进引潮位计算程序，使引潮位展开在ＰＣ－５８６计算机上只需要不到１０ｍｉｎ时间即可完成．完全规格化的面球谐函数可以起到规格化的作用，没有必要再继续采用杜德森（Ｄｏｏｄｓｏｎ）规格化．即使采用，也没有必要使用严格的小数值，取其相近的整数值即可．以完全规格化的缔合球谐函数代替Ｄｏｏｄｓｏｎ规格化，并借助面球谐函数的递推公式，使引潮位的表达式更加简洁、规范．文中对高精度潮汐计算中的一些重要问题进行了讨论，指出以往在Ｄｏｏｄｓｏｎ常数归算上存在的误区，还就天体与测站坐标系统的一致性问题进行了讨论．
In order to expand the tide level, a perfectly normalized spherical harmonic function is defined in the paper. At the same time, according to the Legendre function and the recursive formula of the Chebyshev polynomial, Push the formula. According to this, the program for calculating the tide level will be improved so that the tide level can be completed on the PC-586 computer in less than 10 minutes. Fully normalized facet harmonics can play the role of normalization, there is no need to continue to use Doodson (Doodson) normalization. Even if adopted, there is no need to use strict decimal values, whichever is the same integer value. Instead of Doodson normalization, the perfectly normalized spherical harmonic function is used to make the expression of the tidal flat position more concise and standardized with the recursion formula of the spherical surface harmonic function. In this paper, some important problems in high-accuracy tide calculation are discussed. The misunderstandings about Doodson constant reduction in the past are pointed out, and the consistency between celestial bodies and station coordinate system is also discussed.