Change search
ReferencesLink to record
Permanent link

Direct link
A computational scheme to model the geoid by the modified Stokes formula without gravity reductions
KTH, Superseded Departments, Infrastructure.
2003 (English)In: Journal of Geodesy, ISSN 0949-7714, E-ISSN 1432-1394, Vol. 77, no 8-Jul, 423-432 p.Article in journal (Refereed) Published
Abstract [en]

In a modern application of Stokes' formula for geoid determination, regional terrestrial gravity is combined with long-wavelength gravity information supplied by an Earth gravity model. Usually, several corrections must be added to gravity to be consistent with Stokes' formula. In contrast, here all such corrections are applied directly to the approximate geoid height determined from the surface gravity anomalies. In this way, a more efficient workload is obtained. As an example, in applications of the direct and first and second indirect topographic effects significant long-wavelength contributions must be considered, all of which are time consuming to compute. By adding all three effects to produce a combined geoid effect, these long-wavelength features largely cancel. The computational scheme, including two least squares modifications of Stokes' formula, is outlined, and the specific advantages of this technique, compared to traditional gravity reduction prior to Stokes' integration, are summarised in the conclusions and final remarks.

Place, publisher, year, edition, pages
2003. Vol. 77, no 8-Jul, 423-432 p.
Keyword [en]
modified Stokes' formula, topographic effects, atmospheric effects, ellipsoidal correction, helmert method
URN: urn:nbn:se:kth:diva-22973DOI: 10.1007/s00190-003-0338-1ISI: 000186683800006OAI: diva2:341671
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Sjöberg, Lars Erik
By organisation
In the same journal
Journal of Geodesy

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

Altmetric score

Total: 13 hits
ReferencesLink to record
Permanent link

Direct link