Approbation of the XGM2019e latest model of the Earth’s gravitational field

Students Name: Shcherbyna Viktoriia Oleksandrivna
Qualification Level: magister
Speciality: Space Geodesy
Institute: Institute of Geodesy
Mode of Study: full
Academic Year: 2020-2021 н.р.
Language of Defence: ukrainian
Abstract: Shcherbyna V.O., Lukyanchenko Y.O. (supervisor). Approbation of breakthrough gravity field model XGM2019e. Master’s thesis. Lviv Polytechnic National University, Lviv, 2020. Extended abstract. Modern technologies of research, calculations and design are associated with the use of various types of geodetic information, including models of the Earth’s gravitational field. Progress and rapid development of geodesy allows us to determine the shape and gravitational field of the Earth at a more modern level. This paper considers the basic principles of creating global models of the Earth’s gravitational field, the types used in modeling the source data and their sources, as well as the experience of creating global models of the Earth’s gravitational field. Published models of the earth’s gravity field with a resolution of 2190 harmonics and higher are considered. An overview of the main Internet resources on which free is presented models of the earth’s gravitational field are available and some practical techniques are shown visualization of model data. Therefore, the task of constructing and comparing models of the Earth’s gravitational field is relevant today. Two gravitational models were selected for the study: models of the International Center for Global Earth Models - EIGEN-6C4 and XGM2019e. It should be noted that the EIGEN-6C4 model is considered a reference model, which was built in 2014 to 2190 degrees and 2159 order. The XGM2019e is the first new model in human history to represent a ratio as high as 5540. This topic is one of the most important tasks of modern geodesy and represents an approach to modeling the Earth’s gravitational field using the new gravitational model XGM2019e. This approach allows you to explore a new model and compare it with the latest model, which is built to 2190 degrees. Study object is the gravitational field of the Earth. Scope of researc modeling of the Earth’s gravitational field. Goal of research investigate and compare the accuracy of the latest model XGM2019e relative to the reference EIGEN-6C4. Briefly put research results. The main properties of the Earth’s gravitational field, the potential of gravity, the distribution of the gravitational potential in a series of spherical functions are described. The height of the geoid is constructed on the XGM2019e and EIGEN-6C4 models. The differences of these geoid heights on the territory of Ukraine and South America are created and graphically presented. The analysis of the received results is carried out. The comparison of two models within degree amplitudes. Keywords: gravity field of the Earth, gravity field model, the potential of gravity. List of used literature sources. Hoffmann-Wellenhof, B., & Moritz, H. (2007). Fizicheskaya geodeziya [Physical geodesy]. Moscow. (in Russian). Dvulit P.D. Physical geodesy / P.D. Dvulit; [textbook for students of higher educational institutions studying in the field of "Geodesy, Cartography and Land Management >>] - Kyiv: << Express >>, 2008. – 256. Koneshov V.N., Nepoklonov V.B., Soloviev V.N., Zheleznyak L.K. Comparison of modern global ultrahigh-degree models of the Earth’s gravitational field // Geophysical research. - 2019. - Volume 20. No. 1. - P. 13–26. DOI: 10.21455 / gr2019.1-2 Marcovitch K.I., Analysis of the latest global gravitational model of the Earth EIGEN-6C4 according to geodetic and gravimetric data in relation to the Polotsk geodynamic profile, in Herald of Polotsk State University. Series F. Construction, applied sciences, geodesy, 2015, no. 8, pp. 190-193. Meshcheryakov G.A., Tserklevich A.L. Gravitational Field, Figure, and Internal Structure of Mars. Kiev, Naukova Dumka, 1987. 239 p. (In Russian). Novlyanskaya I.O. Comparison and accuracy estimation of modern models of the Earth’s gravitational potential. Uchenye Zapiski Kazanskogo Universiteta. Seriya Estestvennye Nauki, 2016, vol. 158, no. 2, pp. 311–322. (In Russian). Sidorenko, A.I. Some results of using the EGM2008 geoid model in comparison with other models / A.I. Sidorenko // Land and real estate of Siberia. - 2009 .-- 5 (19). - P. 31–33. Barthelmes, F., and Forste, C: The ICGEM-format. Potsdam: GFZ German Research Centre for Geosciences, URL: http://icgem.gfz-potsdam.de/ICGEM Format-2011.pdf, last access 30 January 2019.