The application of the right rectangular prism in the process determining the value of terrain correction

Abstract

The effects of topographic masses on gravity were determined for the territory of Serbia by using the digital terrain model with resolution of 1 arch second in both directions. For the effect of distant masses, i.e. masses that are out of the territory of Serbia, a global digital model SRTM (Shuttle Radar Topography Mission) was used. All the topography masses were divided by using a right rectangle prism and classic terrain corrections was applied. Special attention was dedicated to the curvatures of the Earth surface and singularity points, where equations for first partial derivatives of prism gravity potential are not defined.

U radu je prikazano određivanje terenske korekcije primenom prave pravougaone prizme za teritoriju Republike Srbije. Pri proračunima korišćena je konstantna vrednost gustine topografskih masa kao i egzaktne formule za rešavanje problema zakrivljenosti tela Zemlje. Posebna pažnja posvećena je singularitetima u izrazima za prve parcijalne izvode potencijala ubrzanja gravitacione sile prave pravougaone prizme, a svi proračuni urađeni su korišćenjem digitalnog modela terena (DMT) rezolucije jedne lučne sekunde u oba pravca. Za opis geometrijskih osobina topografskih masa van teritorije Srbije korišćen je globalni DMT SRTM (Shuttle Radar Topography Mission).