{"title":"菱形多边形的面积","authors":"Charles F. F. Karney","doi":"10.1007/s11200-024-0709-z","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":22001,"journal":{"name":"Studia Geophysica et Geodaetica","volume":"68 3-4","pages":"99 - 120"},"PeriodicalIF":0.5000,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11200-024-0709-z.pdf","citationCount":"0","resultStr":"{\"title\":\"The area of rhumb polygons\",\"authors\":\"Charles F. F. Karney\",\"doi\":\"10.1007/s11200-024-0709-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>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.</p></div>\",\"PeriodicalId\":22001,\"journal\":{\"name\":\"Studia Geophysica et Geodaetica\",\"volume\":\"68 3-4\",\"pages\":\"99 - 120\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-08-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s11200-024-0709-z.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Studia Geophysica et Geodaetica\",\"FirstCategoryId\":\"89\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11200-024-0709-z\",\"RegionNum\":4,\"RegionCategory\":\"地球科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"GEOCHEMISTRY & GEOPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studia Geophysica et Geodaetica","FirstCategoryId":"89","ListUrlMain":"https://link.springer.com/article/10.1007/s11200-024-0709-z","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"GEOCHEMISTRY & GEOPHYSICS","Score":null,"Total":0}
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.
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.
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