The Effects of the Earth's Curvature on Gravity and Geoid Calculations


Cavsak H.

PURE AND APPLIED GEOPHYSICS, vol.169, no.4, pp.733-740, 2012 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 169 Issue: 4
  • Publication Date: 2012
  • Doi Number: 10.1007/s00024-011-0353-8
  • Title of Journal : PURE AND APPLIED GEOPHYSICS
  • Page Numbers: pp.733-740

Abstract

While it is obvious that large-scale gravity studies should account for the sphericity of the Earth, each case should be examined. If a geometry model is very large for the 3D-gravity calculation, it cannot be correctly defined in Cartesian coordinates. Because of the Earth's curvature it is necessary to use spherical coordinates, the importance of which is shown in this paper. The calculation of the gravity for a cylinder reveals, 1 m above the center of the cylinder, a relative difference of 13% between the models with Cartesian and spherical coordinates.