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中文摘要：
利用计算机代数系统，推导出了地图投影中辅助纬度与大地纬度间的正反解变换公式，发现和纠正了传统正解公式高阶项中的一些错误；借助Hermite插值法得到了符号形式的反解表达式。将各辅助纬度展开式系数表示为简单的偏心率e的幂级数形式，使得系数的表示形式更为统一。
英文摘要：
Both forward and inverse formulas between auxiliary and geodetic latitudes are derived with the help of computer algebra system in a comprehensive way; and also some mistakes that once were made in the high orders of previous forward formulas are pointed out and corrected. New symbolic expressions of the inverse expansions for these auxiliary latitudes are systematically given in virtue of Hermite interpolation. Their coefficients are expressed in a power series of the eccentricity e, which makes the expansions more uniform.
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