Employment of the affined method of recalculation of coordinates to determine the horizontal deformations of the Earth crust

The object of the work is to analyse possibilities and make algorithms for calculating tensors of horizontal deformations of the Earth crust and the main indices of deformations according to the results of repeated geodesic measurements by employing the coefficients of equations of the affined connection of recalculation of the coordinates of geodesic networks. We have produced a theoretical substantiation and algorithms for calculating tensors of the deformations of the 2nd class and the main indices of deformaitons in the work: the greatest and the smallest relative lengthening, the direction of the greatetst lengthening, the turning and dilatation of territory, the lengthening in any direction, the alterations in directions and angles. It is recommended for evaluating tensors of deformations and indices of deformations to employ the method of final elements. Taking into consideration the specific features of geodesic measurements and employgin the homogenous rectilinear model of deformations within the limits of final element, the most suitable forms of final elements are triangles. The research of horizontal deformations of the Earth crust in north-eastern Lithuania was carried out by employing the methods proposed. The measurements of the Lithuanian geodesic networks of the 1st class formed by the methods of triangulation network and cosmic geodesy were employed to determine the deformations. It was established that the indices of horizontal deformations of the Earth crust in the territory of north-eastern Lithuania are variable. The regularities of their fluctuation are related to the tectonic structure of the territory and the large breakage zones of the crystal foundation. The directions of the largest gradients of the fluctuation of indices are perpendicular to the directions of the large breakage zones of the crystal foundation of the Earth crust. On the basis of the results of research, it may be asserted that the tectonic breakage of the Earth crust in the analysed territory is currently also active. The current tectonic activity of the territory was inherited from tectonic processes occurred previously and is their natural continuation.