Semi-stochastic modification of second-order radial derivative of Abel-Poisson's formula for validating satellite gravity gradiometry data
2011 (English)In: Advances in Space Research, ISSN 0273-1177, Vol. 47, no 4, 757-767 p.Article in journal (Refereed) Published
The geoid can be used to validate the satellite gravity gradiometry data. Validation of such data is important prior to their downward continuation because of amplification of the data errors through this process. In this paper, the second-order radial derivative of Abel-Poisson's formula is modified stochastically to reduce the effect of the far-zone geoid and generate the second-order radial derivative of geopotential at 250 km level. The numerical studies over Fennoscandia show that this method yields the gradients with an error of 10 mE and when the long wavelength of geoid is removed from the estimator and restored after the computations (remove compute restore) the error will be in 1 mE level. We name this method semi-stochastic modification. The best case scenario is found when the degree of modification of the integral formula is 200 and the long wavelength geoid to degree 100 is removed and restored. In this case the geoid should have a resolution of 15' x 15' and the integration should be performed over a cap size of 3 degrees.
Place, publisher, year, edition, pages
2011. Vol. 47, no 4, 757-767 p.
Gradient estimator, Gravity gradient, Global root mean square error, Truncation error, Error spectra, Signal spectra
Earth and Related Environmental Sciences Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-31652DOI: 10.1016/j.asr.2010.10.003ISI: 000287433100022ScopusID: 2-s2.0-79551483212OAI: oai:DiVA.org:kth-31652DiVA: diva2:405081
QC 201103212011-03-212011-03-212011-03-21Bibliographically approved