Reilly, W.I. 1980 The shape of the earth's gravity field in Canterbury, New Zealand, 1: intrinsic curvatures. [s.l.]: [s.n.]. Report / Geophysics Division 158 19 p.
Abstract: The intrinsic geometric properties of the earth's gravity field can be derived from observations of the intensity of gravity, astronomical latitude and longitude, and other gravity field data, by calculating the first and second derivatives of the earth's gravity potential by the statistical procedure of least-squares collocation, using a gravity covariance function adapted to local problems and using Cartesian coordinates in a conformal projection space. These maps should give a better representation of the geometry of the gravity field than do ellipsoidal reference fields, the best estimates hitherto available. The results of this first experimental computation have shown up some difficulties in the computational procedures, which should be readily rectifiable. Application of the intrinsic curvature parameters lies in the adjustment of geodetic networks which involve observations relative to the gravity field. (auth)
