On auxiliary latitudes

IF 1.2 4区地球科学 Q3 ENGINEERING, CIVIL

Survey Review Pub Date : 2022-12-12 DOI:10.1080/00396265.2023.2217604

Charles F. F. Karney

引用次数: 0

Abstract

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.

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关于辅助纬度

辅助纬度是制图的重要工具。本文总结了它们之间的转换方法，重点是提供全双精度精度。这包括第三次展平中的级数展开，其中精确测量截断误差，并给出收敛半径的估计。文中还给出了具有最小舍入误差的校正纬度和自校正纬度的新计算公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Survey Review 地学-地球科学综合

CiteScore

3.50

自引率

6.20%

发文量

审稿时长

6 months

期刊介绍： Survey Review is an international journal that has been published since 1931, until recently under the auspices of the Commonwealth Association of Surveying and Land Economy (CASLE). The journal is now published for Survey Review Ltd and brings together research, theory and practice of positioning and measurement, engineering surveying, cadastre and land management, and spatial information management. All papers are peer reviewed and are drawn from an international community, including government, private industry and academia. Survey Review is invaluable to practitioners, academics, researchers and students who are anxious to maintain their currency of knowledge in a rapidly developing field.