деформаційний аналіз

Problems and prospects of estimating Earth deformation fields from geodetic data

Aim. Analysis of the current state of solving the problem the estimating of earth deformation fields based on continuum mechanics, improving traditional methods the estimating of horizontal deformations, definition an alternative approach and justification of ways and the algorithm of solving the problem based on it. Methodology and results. The analysis showed some shortcomings of traditional solving of the problem. In order to minimize their impact the improved method of mathematical and cartographic modeling of linear deformations is proposed.

Evaluation of three-dimensional deformation fields of the earth by methods of projective differential geometry;rigid rotations of the earth

Aim. The aim is this research is the evaluation of the Earth’s rigid rotation as a component of global deformation fields in interconnection with angular distortions of the geocentric spatial coordinate system. Methodology. Solutions will be achieved by methods of  projective differential (metric) geometry based on the differential presentation of transformations of Riemannian space images in the form of its complicated diffeomorphic manifolds.