DETERMINATION OF THE NORMAL GRAVITY POTENTIAL FROM A NORMAL GRAVITY FORMULA FOR ESTABLISHING THE ANOMALY OF POTENTIAL

Abstract

The normal gravity potential is easily determined by satellites, but it has no relation with some classical normal gravity formulae, such as Cassini’s or Helmert’s formulae, which are using in some countries. This paper presents a formula for determining the normal gravity potential and it’s parameters from a classical normal gravity formula with given flatenning α and angular velocity  of the Earth. Parameters fM and equatorial radius R are to be determined. The normal potential is used for establishing the anomaly of gravity potential (perturbating potential), which is necessary for determining the deflections of the vertical, the heights of the geoid by Bruns' formula, instead of using gravity anomaly in. Stokes’ formula or Stokes’ exspansion. In the next paper, we shall present the application of our formula for determining the geoid heights.