The area of rhumb polygons
Geophysics
2024-10-24 v1
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.
Cite
@article{arxiv.2303.03219,
title = {The area of rhumb polygons},
author = {Charles F. F. Karney},
journal= {arXiv preprint arXiv:2303.03219},
year = {2024}
}
Comments
RevTex, 10 pages, 4 figures