Constructing of regional model of ionosphere parameters
Journal Title: Геодезія, картографія і аерофотознімання - Year 2017, Vol 85, Issue 1
Abstract
Aim. The widespread use of global navigation satellite systems (GNSS) has led to the development of new methods designed to determine and accumulate the index of ionosphere ionization (VTEC). Using these data it is possible to significantly improve the accuracy and reliability of determining the coordinates of the observation point. Therefore, the task of constructing a model of ionization index is relevant. Method. To construct a spatial model, we used the spherical Legendre functions of the first kind of real order with integer degree as a basic system of functions. We found the magnitude of order using the Sturm-Liouville theory since it depended on the size of the investigated region. Such system of functions form two orthogonal systems of functions in the region under study (the sphere segment), but does not have recurrence relations between functions, therefore, it is necessary to use function expansion in a hypergeometric series to find them. Also in order to find unknown coefficients of the model it is necessary to use the Tikhonov regularization parameter, since the matrix of normal equations will not be stable. For calculating the time model of the ionosphere the coefficients of different spatial models were expanded in series of power polynomials. Results. Based on the data of the ionization parameter values obtained of 19 permanent stations of the ZAKPOS network using the Trimble Pivot Platform software, the spatial-temporal model of this parameter was constructed using the Legendre spherical functions up to the 3rd order as well as with power polynomials up to 3rd order. The standard deviation between the measured and model values of the VTEC parameter does not exceed 1TECU. The scientific novelty and practical significance. We developed algorithm for construction of the space-time model of the ionosphere parameter. A ionosphere model of high resolution is obtained, which can be used to solve geodetic tasks in order to provide the necessary accuracy in determining the coordinates of the point, as well as to study and forecast the space weather.
Authors and Affiliations
L. Yankiv-Vitkovska, B. B. Dzhuman
Monitoring of the tropospheric water vapor in the western cross-border zone of Ukraine
Aim. Identifying of reliable estimates of zenith tropospheric delay (ZTD) by the data of GNSS observations (remote monitoring of the troposphere) on the active reference stations of the west cross-border zone of Ukraine....
Absolute sea level changes at the tide gauge station in Władysławowo using different time series software packages
This paper presents geocentric sea level changes at the tide gauge station in Władysławowo, Poland. These changes have been calculated from the time series of GNSS and tide gauge observations. For the estimation of the g...
Cadastre in land market structure
Purpose. Periodic prolonging of the moratorium on sale of agricultural lands does not solve the basic problem of land reform – free circulation of land in order to improve welfare of the population, increasing of social...
Using inverse filtering to increase the resolution IR images
The aim of the work is to increase the resolution of IR images obtained as a result of monitoring thermal objects. Methodology. It is known, an optical system сan not date a CCD point picture thermal object. Instead pict...
Mathematical processing of results of double equally accurate measurements
Purpose. Run trial of criteria importance of systematic errors in the mathematical processing of results of measurements of double equally accurate and install the most efficient one. Thus, to determine how to calculate...