Change search
ReferencesLink to record
Permanent link

Direct link
A numerical comparison of different ellipsoidal corrections to stokes' formula
KTH, School of Architecture and the Built Environment (ABE), Urban Planning and Environment.
2005 (English)In: Window on the Future of Geodesy, 2005, Vol. 128, 409-414 p.Conference paper (Refereed)
Abstract [en]

This paper reviews the new method (recently derived by L.E. Sjoberg) of the ellipsoidal correction for Stokes' formula. Importantly, the correction can also be expressed in a series of spherical harmonics of the disturbing potential, which is a considerable computational advantage. In order to assess the applicability of this approach, it is numerically compared with two other methods. The results reveal that the new method practically coincides with one of the earlier methods, although their derivational approaches and resulting expressions are considerably different. The new method is adapted for the modified Stokes formula, which combines regional terrestrial gravity data with a global geopotential model. The magnitude of the ellipsoidal correction in the modified Stokes formula does not exceed cm level, globally.

Place, publisher, year, edition, pages
2005. Vol. 128, 409-414 p.
Keyword [en]
geoid, ellipsoidal correction, Stokes' formula, least squares modification
National Category
Civil Engineering
URN: urn:nbn:se:kth:diva-42767ISI: 000229368000070ScopusID: 2-s2.0-84964072859ISBN: 3-540-24055-1OAI: diva2:447808
QC 20111013Available from: 2011-10-13 Created: 2011-10-12 Last updated: 2011-10-13Bibliographically approved

Open Access in DiVA

No full text


Search in DiVA

By author/editor
Ellmann, Artu
By organisation
Urban Planning and Environment
Civil Engineering

Search outside of DiVA

GoogleGoogle Scholar
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

Total: 18 hits
ReferencesLink to record
Permanent link

Direct link