At the meeting of the Scientific Council of the Institute on December 7, 2023 the list of the most important results of fundamental and applied research obtained by scientists of the Institute during 2023 was discussed and approved. The results obtained in the implementation of budget, competitive topics and international and national grants. The approved list is submitted to the Bureau of the Department of Informatics for publication in the report of the NAS of Ukraine.

List of Main Research Results in 2023

Basic Research

1. A two-stage method for solving incorrect problems of identification of systems with complex dynamics is proposed and investigated. At first stage SVD decomposition was used to investigate the features of Gankel matrices formed from experimental data. At second stage these results were used to form a more informative input signal and, according to the response data, the final identification problem is solved (V.F. Gubarev).
2. The known method of solving the problem of synthesis of control of angular motion of the spacecraft by its division into kinematic and dynamic subtasks for solving the problems of synthesis of control of simultaneous angular and spatial motions of SC is generalized and improved. This method is used to create algorithms for controlling the convergence of an active spacecraft with a passive rotating spacecraft. Using computer modeling, the insensitivity of these algorithms to structural-parametric perturbations is illustrated. (V.V. Volosov, V.M. Shevchenko).
3. Acoustic-gravitational waves in a model of quasi-isothermal atmosphere with noise perturbation of the vertical temperature profile were studied. To describe these waves, a stochastic equation was obtained in the Burre approximation. Acoustic-gravitational wave modes were found in the thermosphere of the Earth, the amplitude of which does not depend on height. (O.K. Cheremnykh, A.K. Fedorenko, V.M.Lashkin, S.O. Cheremnykh, O.O. Kronberg - University of Munich, Germany).
4. The perturbation from the solar terminator is investigated according to the data of measurements of amplitudes of (VLF) radio signals on the medium-latitude European route GQD-A118 (Great Britain-France). The obtained results indicate the predominant implementation of wave harmonics on the solar terminator that meet the condition of synchronism with the source (O.K. Cheremnykh, A.K. Fedorenko, A.D. Wojciechowska, Yu. O. Selivanov, Istvan Ballai, Gary Verth, Viktor Fedun - University of Sheffield, UK).
5. The distribution of AGV in horizontally heterogeneous wind currents of the atmosphere is studied. The main effects of the influence of currents on spectrum filtering and change in wave amplitudes are investigated. The theoretical dependence of AGV amplitudes on wind speed is obtained, which is well consistent with the data of satellite observations of these waves in the polar thermosphere (A.K. Fedorenko, E.I. Kryuchkov, A.K. Cheremnykh, I.T. Zhuk, S.V. Melnichuk).
6. Nonlinear equations describing the dynamics of perturbations in a non-uniform self-gravitating liquid with regard to its rotation are obtained. Analytical solutions to these equations were found in the form of three-dimensional vortex dipole solitons. Short-wave ion-cyclotron waves in plasma observed in the Earth's magnetosphere were studied using the inverse scattering problem transformation method for solitons (V.M. Lashkin, O.K. Cheremnykh).
7. According to the European Spacecraft Cluster-II, a comprehensive analysis of turbulent and wave processes in the tail of the Earth's magnetosphere was carried out. According to experimental data, the transformation of energy in the turbulent environment of the current layer of the Earth's magnetosphere was studied. The nature of the turbulent plasma regime in the tail of the magnetosphere was investigated (L.V. Kozak, B.A. Petrenko, A.A. Kronberg - University of Munich, Germany).
8. The main provisions of the methodology for assessing indicators of sustainable development goals (SDG) based on satellite data for the tasks of monitoring water resources have been formed. The scientific and practical significance of the results obtained at this stage is to increase the efficiency of the use of space data and their introduction into the practice of environmental and nature-resource activities (O.P. Fedorov, L.V. Podgorodetskaya, L.M. Kolos).
9. It was built using satellite radar images Sentinel-1 maps of changes in surface waters of the lower reaches of the Dnieper and the Kakhovka reservoir after the explosion of the dam of the Kakhovka hydroelectric power station; recommendations for improving the assessment of national indicators of the SDG using satellite data were developed. The method proposed in the study for determining the zones of flooding and shallowing will be used to calculate the SDG 6.6.1 indicator. (O.P. Fedorov, L.V. Podgorodetskaya, L.M. Kolos).
10. A methodology for determining direct damage to agricultural fields from war was developed on the basis of machine learning and free satellite data (N.M. Kussul, A.Yu. Shelestov, B.Ya. Yaylimov, M.S. Lavrenyuk, G.O. Yaylimova).
11. Stable correlation relationships between economic indicators of certain industries and agriculture and indirect indicators such as night lighting and air quality have been established (N.M. Kussul, A.Yu. Shelestov, B.Ya. Yaylimov, M.S. Lavrenyuk, G.O. Yaylimova).
12. A methodology for assessing the significant variables of the SDGs 15.3.1 (" Proportion of land that is degraded over total land ") and 2.4.1 (" Proportion of agriculture area under productive and sustainable agriculture") based on multimodal data, machine learning and biophysical modeling is developed (N. M. Kussul, A. Yu. Shelestov, B. Ya. Yaylimov, M.S. Lavrenyuk, G.O. Yaylimova).
13. An analytical theory has been built that describes the radiation of a power line with a frequency of 50 or 60 Hz in the altitude range from the Earth's surface to the magnetosphere. The theory describes a physical model of the generation of this radiation, as well as a set of analytical solutions that determine the parameters of radiation at a given point in outer space, depending on the parameters of the power line and conditions on the path of the radio wave. The obtained results indicate the fundamental possibility of using satellite measurements for the needs of remote monitoring and evaluation of the parameters of terrestrial sources of electricity, even in regions where their direct monitoring may be difficult (G.V. Lizunov).

Applied Research.

1. Information technology was developed and geospatial products of estimation of essential variables of SDG 15.3.1 (" Proportion of land that is degraded over total land ") and 2.4.1 (" Proportion of agriculture area under productive and sustainable agriculture") (N.M. Kussul, A.Yu. Shelestov, B.Ya. Yaylimov, M.S. Lavrov) were constructed renyuk, G.O. Yaylimova).
2. Using a new dynamic filter and ellipsoids, a solution to the problem of determining the relative motion parameters of an uncooperative spacecraft in a state of free uncontrolled motion using its video images was obtained. The obtained results are planned to use in the development and creation of a navigation system for rapprochement and docking of a service spacecraft, which is being developed by a group of enterprises of the space industry of Ukraine under the leadership of Kurs-Orbital LLC (https://kursorbital.com/) (V.F. Gubarev, M.M. Salnikov, S.V. Melnichuk, M.M. Shevchenko, L.V. Maksimyuk).
3. A basic version of the information system of scientific data collected as a result of Ukraine's activities in the Antarctic region has been developed. The system is installed on the hardware of the National Antarctic Scientific Center of Ukraine and loaded with a set of test data. The system is addressed to the PI"s of Antarctic measurements and observations, specialists from related fields and the general scientific community. It should be expected that after commissioning, this system will not be inferior in its characteristics to the best world analogues, and the original search platform of the system will be in demand by the international general users of Antarctic data (G.V. Lizunov).