论文标题
在辅助纬度上
On auxiliary latitudes
论文作者
论文摘要
辅助纬度是制图中的重要工具。本文总结了它们之间转换的方法，重点是提供完整的双重精度。这包括在第三个扁平化中进行的串联扩展，其中精确测量了截断误差，并给出收敛半径的估计值。还提供了新的公式，用于计算以最小的圆形误差计算的纠正和正面纬度。
The auxiliary latitudes are essential tools in cartography. This paper summarizes methods for converting between them with an emphasis on providing full double-precision accuracy. This includes series expansions in the third flattening, where the truncation error is precisely measured and where estimates of the radii of convergence are given. Also new formulas are given for computing the rectifying and authalic latitudes with minimal roundoff error.
