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In order to study and analyze the state of the State Gravimetric Network for the territory of the Republic of Bulgaria, relative gravimetric measurements were carried out for part of the country. The studied territory covers 9 points of the reference gravimetric network. The gravimetric measurements were designed and implemented according to the realized gravimetric lines between them and gravity differences along the gravimetric lines were calculated. The obtained gravity differences are compared with the same fr...

With the development of GNSS, one can easily obtain gravity disturbances at almost every point on the Earth’s surface. Thus, the use of gravity disturbance in geoid modeling becomes more appropriate than the use of gravity anomalies that require leveling in the points. For this reason, here is presented the basic theory for the application of radial basis functions for geoid heights modeling and in particular a Hotine-Koch scaling function for calculation with gravity disturbance. The report aims to test the appro...

The generally accepted representation of global geoid/quasi-geoid models in a series of spherical harmonics expansion turns out to be inappropriate for geoid modelling in relatively small local areas. To obtain a resolution of a few kilometers requires the development of spherical functions to critically high degrees of expansion, which leads to instability of the solution for several reasons, which are discussed in the article. For that reason, to determine precise local model of the geoid, it is necessary to use...