Inversion of satellite gradiometry data using statistically modified integral formulas for local gravity field recovery
2011 (English)In: Advances in Space Research, ISSN 0273-1177, Vol. 47, no 1, 74-85 p.Article in journal (Refereed) Published
The satellite gravity gradiometric data can be used directly to recover the gravity anomaly at sea level using inversion of integral formulas. This approach suffers by the spatial truncation errors of the integrals, but these errors can be reduced by modifying the formulas. It allows us to consider smaller coverage of the satellite data over the region of recovery. In this study, we consider the second-order radial derivative (SORD) of disturbing potential (T-rr) and determine the gravity anomaly with a resolution of 1 degrees x 1 degrees at sea level by inverting the statistically modified version of SORD of extended Stokes' formula. Also we investigate the effect of the spatial truncation error on the quality of inversion considering noise of T-rr. The numerical investigations show satisfactory results when the area of T-rr coverage is the same with that of the gravity anomaly and the integral formula is modified by the biased least-squares modification. The error of recovery will be about 6 mGal after removing the regularization bias in the presence of 1 mE noise in T-rr measured on the orbit. (c) 2010 COSPAR. Published by Elsevier Ltd. All rights reserved.
Place, publisher, year, edition, pages
2011. Vol. 47, no 1, 74-85 p.
Regularization, Generalized cross validation, Bias-correction, Least-squares modification
Astronomy, Astrophysics and Cosmology
IdentifiersURN: urn:nbn:se:kth:diva-31025DOI: 10.1016/j.asr.2010.08.024ISI: 000287104500008ScopusID: 2-s2.0-78650569225OAI: oai:DiVA.org:kth-31025DiVA: diva2:402262
QC 201103072011-03-072011-03-072011-03-07Bibliographically approved