The influences of seismic processes, the Sun and the Moon on the small changes of coordinates of GNSS-stations
Received: September 17, 2018
Revised: November 21, 2018
Accepted: December 28, 2018
Lviv Polytechnic National University
Lviv Polytechnic National University
Department of Higher geodesy and astronomy, Lviv polytechnic National University

Aim. In order to improve the definition of GNSS-stations coordinate changes, it is important to find out how the processes that occur in the near-Earth space influence the significance of these changes. To describe such processes we can use the seismic activity index, the infrasound rate, and the number of daily flashes in the Sun. In this regard the purpose of this work is to study the influence of the above processes on small changes in the coordinates of GNSS-stations. Method. To solve this problem we have selected the coordinates of permanent GNSS-station, seismic activity indicators, infrasound indicators and the number of daily flares in the Sun for the same 295 day epoch. For modeling the influence of processes in the near-Earth space on the definition of coordinate changes the method of constructing a macromodel is developed based on averaged data with the use of a regularization method and with help of the reduction of the approximation basis of many arguments of polynomials. The arguments of the polynomials in the modelling are chosen to reflect the influence of external factors on the coordinates. Parameters and their corresponding multidies of polynomials are found from the identification tasks recorded by the Tikhonov regularization functions. Results. We constructed a macromodel that includes parameters of seismic processes, the Sun, the Moon, and the coordinates of the GNSS-station. We have found derivatives and different characteristics of the obtained model. Correlation analysis we used to clarify the assumptions. Scientific novelty. For the first time a macromodel was obtained which allows to calculate the influence of the index of seismic activity, infrasound and solar activity on small changes in the coordinates of GNSS-stations. Practical significance. After studying this model we obtained results that can be used to increase the accuracy of coordinates obtained using GNSS observations.

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