Abstract
Derivation of Theoretical Gravity Model on the Clarke 1880 Ellipsoid for Practical Local Geoid Model Determination
Highlights
One of the applications of gravity data is geoid modelling
Any of the model forms can be applied where Clarke 1880 ellipsoid is adopted as a reference surface for geodetic computation
Seeing that the gravimetric method of geoid model determination requires the use of gravity anomalies of selected points, the normal gravity of points of known absolute or observed gravity are required to be computed
Summary
One of the applications of gravity data is geoid modelling. These data are acquired using either satellite observation or gravity meters known as gravimeters. Reducing the gravity data/observation to the geoid implies that the observation is astronomical To apply these observations for geoid model determination, their corresponding theoretical gravity of the observed points on a specified ellipsoid is required. Precise practical local geoid determination requires the theoretical gravity to be computed on the specified ellipsoid adopted for geodetic computation in the area/region of study. Several local gravimetric geoid models have been determined in various parts of the country, but the gravity anomalies of selected/observed points were computed using the International Gravity Formula which is global. These were done as a result of the absence of a local theoretical gravity model. The semi-major axis a and flattening, f of the Clarke 1880 ellipsoid as given by Eteje et al (2018) are respectively 6378249.145m and 1/293.465
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