caa a22 4500 475737539 CHVBK 20180406123450.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1007/s001900000118 doi (NATIONALLICENCE)springer-10.1007/s001900000118 Efficient gravity field recovery from GOCE gravity gradient observations [Elektronische Daten] [R. Klees, R. Koop, P. Visser, J. van den IJssel] Abstract.:  An efficient algorithm is proposed for gravity field recovery from Gravity Field and Steady-State Ocean Circulation Explorer (GOCE) satellite gravity gradient observations. The mathematical model is formulated in the time domain, which allows the inclusion of realistic observational noise models. The algorithm combines the iterative solution of the normal equations, using a Richardson-type iteration scheme, with the fast computation of the right-hand side of the normal equations in each iteration step by a suitable approximation of the design matrix. The convergence of the iteration is investigated, error estimates are provided, and the unbiasedness of the method is proved. It is also shown that the method does not converge to the solution of the normal equations. The performance of the approach for white noise and coloured noise is demonstrated along a simulated GOCE orbit up to spherical harmonic degree and order 180. The results also indicate that the approximation error may be neglected. Springer-Verlag Berlin Heidelberg, 2000 Key words: Gravity field determination - Satellite gravity gradiometry - GOCE data analysis nationallicence Klees R. Delft Institute for Earth-Oriented Space Research (DEOS), Delft University of Technology, Thijsseweg 11, NL-2629 JA Delft, The Netherlands, e-mail: klees@geo.tudelft.nl; Tel.:+31 15 2785100; Fax: +31 15 2783711, NL aut Koop R. Delft Institute for Earth-Oriented Space Research (DEOS), Delft University of Technology, Thijsseweg 11, NL-2629 JA Delft, The Netherlands, e-mail: klees@geo.tudelft.nl; Tel.:+31 15 2785100; Fax: +31 15 2783711, NL aut Visser P. Delft Institute for Earth-Oriented Space Research (DEOS), Delft University of Technology, Thijsseweg 11, NL-2629 JA Delft, The Netherlands, e-mail: klees@geo.tudelft.nl; Tel.:+31 15 2785100; Fax: +31 15 2783711, NL aut van den IJssel J. Delft Institute for Earth-Oriented Space Research (DEOS), Delft University of Technology, Thijsseweg 11, NL-2629 JA Delft, The Netherlands, e-mail: klees@geo.tudelft.nl; Tel.:+31 15 2785100; Fax: +31 15 2783711, NL aut https://doi.org/10.1007/s001900000118 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001900000118 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Klees R. Delft Institute for Earth-Oriented Space Research (DEOS), Delft University of Technology, Thijsseweg 11, NL-2629 JA Delft, The Netherlands, e-mail: klees@geo.tudelft.nl; Tel.:+31 15 2785100; Fax: +31 15 2783711, NL aut NATIONALLICENCE 700 1- Koop R. Delft Institute for Earth-Oriented Space Research (DEOS), Delft University of Technology, Thijsseweg 11, NL-2629 JA Delft, The Netherlands, e-mail: klees@geo.tudelft.nl; Tel.:+31 15 2785100; Fax: +31 15 2783711, NL aut NATIONALLICENCE 700 1- Visser P. Delft Institute for Earth-Oriented Space Research (DEOS), Delft University of Technology, Thijsseweg 11, NL-2629 JA Delft, The Netherlands, e-mail: klees@geo.tudelft.nl; Tel.:+31 15 2785100; Fax: +31 15 2783711, NL aut NATIONALLICENCE 700 1- van den IJssel J. Delft Institute for Earth-Oriented Space Research (DEOS), Delft University of Technology, Thijsseweg 11, NL-2629 JA Delft, The Netherlands, e-mail: klees@geo.tudelft.nl; Tel.:+31 15 2785100; Fax: +31 15 2783711, NL aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer