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Preliminary geoid over Zambia

Authors
  • Nsombo, P.1
  • 1 Dept. of Surveying, School of Engineering, University of Zambia, P.O. Box 32379, Lusaka, Zambia e-mail: [email protected], ZM
Type
Published Article
Journal
Journal of Geodesy
Publisher
Springer-Verlag
Publication Date
Mar 01, 1998
Volume
72
Issue
3
Pages
144–153
Identifiers
DOI: 10.1007/s001900050156
Source
Springer Nature
Keywords
License
Yellow

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.

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