USING OF STRUCTURAL-PARAMETRIC APPROACH FOR BUILDING OF DIGITAL MODELS OF THE RELIEF AND THE EARTH’S GRAVITY FIELD USING ANALYTICAL S-APPROXIMATIONS

© 2020 I.E. Stepanova^{1, 2}*, A.V. Shepetilov³, V.V. Pogorelov^{1, 2}, P.S. Mikhailov^{1, 2}

¹ Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, Moscow, Russia

² «Sirius» University of Science and Technology, Sochi, Russia

³ Lomonosov Moscow State University, Department of Physics, Moscow, Russia

* e-mail: tet@ifz.ru

Abstract. In this paper we discussed the features of applying the structural-parametric approach to constructing analytical approximations of the Earth's relief and the anomalous gravitational field using the modified S-approximation method. The results of a mathematical experiment using real data on the relief and anomalous gravitational field are presented.

Keywords: integral, approximation, relief, digital model, structural-parametric approach, Earth’s gravity relief, digital model, SLAE.

About the authors

STEPANOVA Inna Eduardovna – Schmidt Institute of Physics of the Earth, Russian Academy of Sciences. Russia, 123242, Moscow, Bolshaya Gruzinskaya st., 10-1; «Sirius» University of Science and Technology. Russia, 354340, Sochi, Olympiysky av., 1. E-mail: tet@ifz.ru

SHEPETILOV Alexey Valerijevich – Lomonosov Moscow State University, Department of Physics. Russia, 119991, Moscow, Leninskie Gory, 1-2. E-mail: avshchepetilov@mail.ru

POGORELOV Vitaly Viktorovich – Schmidt Institute of Physics of the Earth, Russian Academy of Sciences. Russia, 123242, Moscow, Bolshaya Gruzinskaya st., 10-1; «Sirius» University of Science and Technology. Russia, 354340, Sochi, Olympiysky av., 1. E-mail: vvp@ifz.ru

MIKHAILOV Pavel Sergeevich – Schmidt Institute of Physics of the Earth, Russian Academy of Sciences. Russia, 123242, Moscow, Bolshaya Gruzinskaya st., 10-1; «Sirius» University of Science and Technology. Russia, 354340, Sochi, Olympiysky av., 1. E-mail: paulmikh@mail.ru

Cite this article as: Stepanova I.E., Shepetilov A.V., Pogorelov V.V., Mikhailov  P.S. Using of structural-parametric approach for building of digital models of the relief and the Earth’s gravity field using analytical S-approximations, Geofizicheskie Protsessy i Biosfera (Geophysical Processes and Biosphere), 2020, vol. 19, no. 2, pp. 107–116 (in Russian). https://doi.org/10.21455/gpb2020.2-8

English version: Izvestiya, Atmospheric and Oceanic Physics, 2020, vol. 56, iss. 8. ISSN: 0001-4338 (Print), 1555-628X (Online). https://link.springer.com/journal/volumesAndIssues/11485