Indirect effect of the helmert condensation reduction over the territory of Serbia

Abstract

In the process of geoid determination one of the most important problems is to determine the effect of topographic masses. Traditionally, solving that particular problem started with the reduction of gravity on the geoid and subsequent calculations the effects of the reduction on the value of the geoid undulations i.e. calculating the indirect effect of reduction. In this paper a model of the indirect effect of Helmert method of condensation over the territory of Serbia was shown. The model was created on the in 5766 points evenly distributed on the territory of Serbia and with the assumption that the density of topographic masses are constant. In the northern parts of the territory of Serbia, which is covered with flat topographic masses, with a maximum altitude of 90 meters, the intensity of the effect reaches a value of -1 cm. Following the direction from north to the south elevation topographic mass gradually are growing so that the value of the indirect the effect gradually increases. All determinations indicate that indirect effect on Serbian territory does not exceed the value of -0.38 m.