deformation analysis

Aim. Solving the problem associated in using GNSS monitoring data in the ITRS to evaluate deformation of fields of the Earth in terms of elimination of invariance loss errors. Methodology and results. The problem is considered in the context of the geophysical nature of the ITRS in conjunction with the global deformation field of the Earth. The attention is focused on the consequences of deformation of the ITRS system, which manifests itself as invariance loss effects in the interpretation of deformation fields.

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.

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.