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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.03219 |
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| _version_ | 1866914984751005696 |
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| author | Karney, Charles F. F. |
| author_facet | Karney, Charles F. F. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_03219 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The area of rhumb polygons Karney, Charles F. F. Geophysics 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. |
| title | The area of rhumb polygons |
| topic | Geophysics |
| url | https://arxiv.org/abs/2303.03219 |