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Geodetic intersection on the ellipsoid
KTH, School of Architecture and the Built Environment (ABE), Transport and Economics, Geodesy.
2008 (English)In: Journal of Geodesy, ISSN 0949-7714, E-ISSN 1432-1394, Vol. 82, no 9, 565-567 p.Article in journal (Refereed) Published
Abstract [en]

Through each of two known points on the ellipsoid a geodesic is passing in a known azimuth. We solve the problem of intersection of the two geodesics. The solution for the latitude is obtained as a closed formula for the sphere plus a small correction, of the order of the eccentricity of the ellipsoid, which is determined by numerical integration. The solution is iterative. Once the latitude is obtained, the longitude is determined without iteration.

Place, publisher, year, edition, pages
2008. Vol. 82, no 9, 565-567 p.
Keyword [en]
Ellipsoid, Geodesic, Intersection
National Category
Earth and Related Environmental Sciences
Identifiers
URN: urn:nbn:se:kth:diva-10775DOI: 10.1007/s00190-007-0204-7ISI: 000258674800004Scopus ID: 2-s2.0-50849126103OAI: oai:DiVA.org:kth-10775DiVA: diva2:227934
Note
QC 20100916Available from: 2009-07-21 Created: 2009-07-21 Last updated: 2017-12-13Bibliographically approved

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