Determination of areas on the plane, sphere and ellipsoid
2006 (English)In: Survey review - Directorate of Overseas Surveys, ISSN 0039-6265, Vol. 38, no 301, 583-593 p.Article in journal (Refereed) Published
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.
plane, polygon, sphere
Earth and Related Environmental Sciences
IdentifiersURN: urn:nbn:se:kth:diva-10826ISI: 000238551000004ScopusID: 2-s2.0-33745728780OAI: oai:DiVA.org:kth-10826DiVA: diva2:228094
QC 201009082009-07-242009-07-242010-09-08Bibliographically approved