The area of rhumb polygons

IF 0.5 4区地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS

Studia Geophysica et Geodaetica Pub Date : 2024-08-19 DOI:10.1007/s11200-024-0709-z

Charles F. F. Karney

引用次数: 0

Abstract

The formula for the area of a rhumb polygon, a polygon whose edges are rhumb lines on an ellipsoid of revolution, is derived and a method is given for computing the area accurately. This paper also points out that standard methods for computing rhumb lines give inaccurate results for nearly east- or west-going lines; this problem is remedied by the systematic use of divided differences.

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菱形多边形的面积

本文推导了菱形多边形的面积公式，并给出了精确计算面积的方法。菱形多边形是指边缘为旋转椭圆体上的菱形线的多边形。本文还指出，对于近东或近西的直线，标准的计算方法得出的结果并不准确；这个问题可以通过系统地使用分差来解决。

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

Studia Geophysica et Geodaetica 地学-地球化学与地球物理

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Studia geophysica et geodaetica is an international journal covering all aspects of geophysics, meteorology and climatology, and of geodesy. Published by the Institute of Geophysics of the Academy of Sciences of the Czech Republic, it has a long tradition, being published quarterly since 1956. Studia publishes theoretical and methodological contributions, which are of interest for academia as well as industry. The journal offers fast publication of contributions in regular as well as topical issues.