Local Geoid Accuracies from Different Kinds of Data
Evaluation techniques related to the theory of boundary-value problems with stochastic boundary conditions described by Wiener measures are used to compare the expected accuracies of the geoid obtained from gravity anomalies and from deflections of the vertical, with the current density and precision of individual measurements. Analytical computations are carried out under very simplified assumptions on the distribution of data, initially making the hypothesis of a global data coverage; an outlook at a local computation technique using plane approximation shows that the order of magnitude of the comparative results is essentially unchanged. In both cases, with the current measurement accuracies and densities for deflections of the vertical and gravity anomalies, the latter are shown to yield better accuracies in geoid undulation estimates.
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