Interpolation of the vertical deflection from horizontal gravity gradients

Abstract

A method is described for the interpolation of deflections of the vertical from horizontal gravity gradients that can be done with considerable accuracy. From the interpolated deflections and astronomic observations, the geodetic coordinated can then be determined. The accuracy of the interpolated deflections or of the geodetic coordinates have a maximum standard error of 0.5′′ for lines 30–40 km long. The method is very efficient for the densification of deflections of the vertical where otherwise a very detailed gravity survey is required, but for geodetic coordinate determination, the procedure generally cannot be considered superior to conventional methods of establishing horizontal control. A potential application may be found, however, in photogrammetry.