On the topographic effects by Stokes’ formula
2014 (English)In: Journal of Geodetic Science, ISSN 2081-9919, E-ISSN 2081-9943, Vol. 4, no 1, 130-135 p.Article in journal (Refereed) Published
Traditional gravimetric geoid determination relies on Stokes’ formula with removal and restoration of the topographic effects. It is shown that this solution is in error of the order of the quasigeoid-to-geoid difference, which is mainly due to incomplete downward continuation (dwc) of gravity from the Earth’s surface to the geoid. A slightly improved estimator, based on the surface Bouguer gravity anomaly, is also biased due to the imperfect harmonic dwc the Bouguer anomaly. Only the third estimator,which uses the (harmonic) surface no-topography gravity anomaly, is consistent with the boundary condition and Stokes’ formula, providing a theoretically correct geoid height. The difference between the Bouguer and no-topography gravity anomalies (on the geoid or in space) is the “secondary indirect topographic effect”, which is a necessary correction in removing all topographic signals.
Place, publisher, year, edition, pages
2014. Vol. 4, no 1, 130-135 p.
Bouguer gravity anomaly, geoid, notopography gravity anomaly, secondary indirect topographic effect, topographic correction
Other Engineering and Technologies not elsewhere specified
IdentifiersURN: urn:nbn:se:kth:diva-166635DOI: 10.2478/jogs-2014-0014OAI: oai:DiVA.org:kth-166635DiVA: diva2:811662
QC 201505132015-05-122015-05-122015-05-13Bibliographically approved