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Abstract. In the determination of the preliminary geoid over Zambia, we compare three methods of the modified Stokes formula: that of Vincent and Marsh, a modified Wong and Gore method, and a modified spectral weighting method, with the final solution being estimated by the modified Wong and Gore procedure. The geoid over Zambia (based on GRS80) is rising from north-east to south-west. It coincides with the reference ellipsoid in the north-western and southern regions of Zambia. The preliminary estimate indicates maximum and minimum values of about 13.7 and −16.8m, respectively. The mean geoid over the area is −2.8m. Formal analysis of global root mean square errors for the three models leads us to conclude that for an integration cap radius of about 3 or less, the modified formula using optimal spectral weighting is superior to the Vincent and Marsh method, and to the modified and unmodified Wong and Gore.
Abstract. In the determination of the preliminary geoid over Zambia, we compare three methods of the modified Stokes formula: that of Vincent and Marsh, a modified Wong and Gore method, and a modified spectral weighting method, with the final solution being estimated by the modified Wong and Gore procedure. The geoid over Zambia (based on GRS80) is rising from north-east to south-west. It coincides with the reference ellipsoid in the north-western and southern regions of Zambia. The preliminary estimate indicates maximum and minimum values of about 13.7 and −16.8m, respectively. The mean geoid over the area is −2.8m. Formal analysis of global root mean square errors for the three models leads us to conclude that for an integration cap radius of about 3 or less, the modified formula using optimal spectral weighting is superior to the Vincent and Marsh method, and to the modified and unmodified Wong and Gore.
Preliminary geoid over Zambia
Nsombo, P. (Autor:in)
Journal of Geodesy ; 72
1998
Aufsatz (Zeitschrift)
Englisch
BKL:
38.73
Geodäsie
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