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The purpose of the study is to attempt to determine the deviation of vertical lines using trigonometric levelling and Global Navigation Satellite System (GNNS) measurements. For the last decades with the emergence of high-precision electronic theodolites and tacheometers, trigonometric levelling becomes a competitor of the geometric levelling of the II and III accuracy classes. This is primarily the definition of exceedances at distances up to 1–2 km for topographic surveying and the study of geodynamic processes in zones of the man-made load.

Function system have been constructed on the basis of multiortogonal decomposition, that give possibility to research the internal construction, figure and gravity field of the Earth.

Purpose. To build a three-dimensional function of the mass distribution of the Earth's interior according to the parameters (Stokes constant to the second order inclusive) of the external gravitational field of the Earth without considering the minimum deviation from its known density models in geophysics. Methodology. The classic methods of constructing mass distribution use only the Stoke’s constants zero and second orders.

The aim of this article is the role and place of geodesy and gravimetry in the complex Earth Sciences and making recommendations for their using in various fields of knowledge of science. Problem and its relation with important scientific and practical tasks. In the article we consider some issues of the current state and prospects of geodesy and gravimetry. So modern geodesy – natural branch, which includes several areas: geodesy and topography, applied engineering or surveying, marine surveying, space geodesy, higher geodesy and physical geodesy and others.