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Determination of areas on the plane, sphere and ellipsoid
KTH, School of Architecture and the Built Environment (ABE), Transport and Economics, Geodesy.
2006 (English)In: Survey review - Directorate of Overseas Surveys, ISSN 0039-6265, E-ISSN 1752-2706, Vol. 38, no 301, 583-593 p.Article in journal (Refereed) Published
Abstract [en]

This paper shortly reviews various methods to determine the area of a closed polygon on the plane, sphere and ellipsoid. A new method is derived for calculating the area of a geodetic polygon, i.e. a polygon on the ellipsoid limited by sections of geodesics. By a recursive procedure the area can be determined to any desired order of the eccentricity of the ellipsoid. Finally we also present a direct method for numerical integration of the area under the geodesic.

Place, publisher, year, edition, pages
2006. Vol. 38, no 301, 583-593 p.
Keyword [en]
plane, polygon, sphere
National Category
Earth and Related Environmental Sciences
Identifiers
URN: urn:nbn:se:kth:diva-10826ISI: 000238551000004Scopus ID: 2-s2.0-33745728780OAI: oai:DiVA.org:kth-10826DiVA: diva2:228094
Note
QC 20100908Available from: 2009-07-24 Created: 2009-07-24 Last updated: 2017-12-13Bibliographically approved

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