We get a uniqueness theorem for a Robin type boundary value problem for the Laplace equation arising in Physical Geodesy in the context of the gravimetric determination of the geoid. The boundary is an oblate ellipsoid of revolution and we have uniqueness of solutions provided that its eccentricity is (approximately) less than 0.526428.

The ability to build three-dimensional models through technologies based on satellite navigation systems GNSS and the continuous development of new sensors, as Airborne Laser Scanning Hydrography (ALH), data acquisition methods and 3D multi-resolution representations, have contributed significantly to the digital 3D documentation, mapping, preservation and representation of landscapes and herit...

D I R E C T measurement of large-scale ocean currents with current meter arrays is difficult and costly on basin scales. Since large-scale currents are very nearly in geostrophic balance, their velocity can be calculated from the pressure gradient on an equigeopotential surface. The surface geostrophic current therefore can be calculated from the deviation of sea level from the equigeopotential...

39 This paper describes the computation and analysis of the Earth's short-scale gravity field 40 through high-resolution gravity forward modelling using the Shuttle Radar Topography 41 Mission (SRTM) global topography model. We use the established residual terrain modelling 42 technique along with advanced computational resources and massive parallelisation to 43 convert the high-pass filtered ...