Change search

Cite
Citation style
• apa
• ieee
• modern-language-association-8th-edition
• vancouver
• Other style
More styles
Language
• de-DE
• en-GB
• en-US
• fi-FI
• nn-NO
• nn-NB
• sv-SE
• Other locale
More languages
Output format
• html
• text
• asciidoc
• rtf
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.

2008.
Series
TRITA-GIT EX ; 08-10
National Category
Engineering and Technology
Identifiers
OAI: oai:DiVA.org:kth-199694DiVA, id: diva2:1065075
Supervisors
Available from: 2017-01-19 Created: 2017-01-13 Last updated: 2017-01-19Bibliographically approved

Open Access in DiVA

File information
File name FULLTEXT01.pdfFile size 2379 kBChecksum SHA-512
1b4184382474887121bdd2095f3255dc89acc7650e2b9cc4d492ec84586443c7704b62a6648658e2c6e725969b891f2e7540a379cae09759c354920334588ea7
Type fulltextMimetype application/pdf
By organisation
Geodesy and Satellite Positioning
On the subject
Engineering and Technology

Search outside of DiVA

The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available
urn-nbn

Altmetric score

urn-nbn
Total: 34 hits

Cite
Citation style
• apa
• ieee
• modern-language-association-8th-edition
• vancouver
• Other style
More styles
Language
• de-DE
• en-GB
• en-US
• fi-FI
• nn-NO
• nn-NB
• sv-SE
• Other locale
More languages
Output format
• html
• text
• asciidoc
• rtf
v. 2.34-SNAPSHOT
|