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Tests of New Solutions to the Direct and Indirect Geodetic problems on the Ellipsoid
KTH, School of Architecture and the Built Environment (ABE), Urban Planning and Environment, Geodesy and Satellite Positioning.
2008 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

The main objective of this thesis is to test new methods on solving the direct and indirectgeodetic problems on the ellipsoid as proposed in the article by Prof. Sjöberg, published in theJournal of Geodesy in 2006. Methods used for direct and indirect geodetic problems takeadvantage of numerical integration. First, strict solution for the sphere is considered then asmall correction to the ellipsoid determined by numerical integration is added to obtain the finalsolution. The author also deals with the equations on how to compute the area limited by theequator, two meridians and the geodesic between two points using numerical integration aswell.Furthermore the geodetic intersection on the ellipsoid is also considered as described by thesame author in a different article. The solution for the latitude is obtained for the sphere plus asmall correction using numerical integration. As this is iterative procedure, once obtained, thelongitude is calculated without iteration.With the increase of processor power in computers during the last decade or two the logicalconclusion is to use computers in proving mathematical equations. The numerical integrationhas not yet been used in geodesy in this manner, therefore it is used here.Findings of our tests conclude that numerical integration used for purposes above is good whenused in certain frames and that it has to be used with caution. In fact when numericalintegration is used in those frames it is quite safe to use the formulas as they prove veryaccurate.

Place, publisher, year, edition, pages
2008.
Series
TRITA-GIT EX ; 08-10
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-199694OAI: oai:DiVA.org:kth-199694DiVA, id: diva2:1065075
Supervisors
Available from: 2017-01-19 Created: 2017-01-13 Last updated: 2017-01-19Bibliographically approved

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