The total funding in 2016 was **11036.72** thousand UAH.

The Institute received the most significant results in the following areas of fundamental and applied research:

**I. Fundamental research**

The theoretical generalization of existing statings and methods of solving the problems of autonomous estimation of the dynamic parameters of spacecraft controlled by hydroslip systems of arbitrary structure is fulfilled. The problem of evaluation is reduced to effective formalized methods for solving systems of linear equations and inequalities. The effectiveness of the proposed methods is illustrated by the results of computer simulation (academician NAS of Ukraine Kuntsevich V., Volosov V., Shevchenko V.).

The regularities of the influence of axial vibrations on the conditions of loss of stability of the flat front of crystallization in the conditions of microgravity are determined by methods of calculation and field experiment. The occurrence of a longitudinal melt flow, which does not depend on the frequency of vibrations (at frequencies below 20 Hz), causes a loss of stability of the front, which is equivalent to that occurring at a growth rate of growth of 5 times (Corresponding Member of NAS of Ukraine Fedorov O.)

The methods of determining the mutual orientation and position of two spacecrafts in the process of their approximation and docking in orbit on the base of videoimage are developed and investigated. A comparative analysis of methods and substantiation of their use in systems of technical vision in creating a promising set of means of approach and capture of «Azimuth», developed by the organizations of the space industry was conducted by numerical simulation. The obtained results are significant scientific and practical contribution to the development of systems of technical vision (Corresponding Member of NAS of Ukraine Gubarev V., Salnikov M., Melnichuk S., Simakov V.).

The problem of optimal stabilization of the group of nonlinear discrete dynamic systems was solved by joint use of the generalized to class principle of compressed mappings and the solution, obtained in the analytical form of the minimax problem, which determines the optimal control (academician NAS of Ukraine Kuntsevich V.).

An iterative algorithm for optimizing of ellipsoidal estimates from the top of the boundary sets of dynamical systems under the action of uncontrolled bounded external perturbations is proposed by using the ideas of Lyapunov's direct method (Volosov V., Shevchenko V.).

The problem of generation of magnetohydrodynamic (MHD) perturbations in solar magnetic tubes, which arose in connection with the necessity of interpretation of new observational data from spacecrafts is considered.

The dispersion equations for stable and unstable screw MHD mods in approximation of the model of "thin" plasma solar plait, with the application of new methods for solving differential equations with variable coefficients was obtained. The conditions for the dissemination of these large-scale wave modes, which determine the dynamics of solar magnetic tubes were defined (Cheremnykh O., Kryshtal O., Tkachenko A.).

A detailed analysis of incompressible modes for solar plasma tubes with homogeneously twisted plasma flow and a magnetic field was carried out. It is shown that new, previously unexplored, high-speed MHD modes are implemented in these conditions. These mods exist only in the presence of a vertical and azimuthal plasma flows. It is shown that the oscillation frequencies of these modes depend on equilibrium magnetic fields and component of velocities. Particular attention was paid to the issue of instability of these mods. It is proved that the main propellant mode with azimuthal wave number m = 1 can be unstable. It is shown that the condition for the transition of this mode to an unstable regime is determined by the Kelvin-Helmholtz criterion.It was also established that mods with azimuth numbers can be unstable at sufficiently high vertical velocities (Cheremnykh O., Ladikov-Royev Yu., Fedun V. (Great Britain).

Theoretical representations about the mechanism of sunspots formation was developed. Within these representations, spots are considered as pop-up magnetic force tubes of the toroidal magnetic field of the Sun. The influence of the differential rotation of the Sun on the generation of a magnetic field is investigated.The solution of the differential equation describing the waves of a magnetic field was obtained. It is shown that these waves are disseminate in the direction of the Sun's rotation. It was established that the frequency of oscillations of a magnetic field is proportional to the latitudinal daily rotation of the Sun, which is consistent with the data of observations (Loginov O., Cheremnyh O., Salnikov M.).

The peculiarities of the interaction of the solar wind with the Earth's magnetosphere was investigated. The existing mechanisms were analyzed, as well as new approaches to the description of turbulent processes were developed. Considerable attention was paid to the description of developed turbulence and characteristic features of cascade models. A detailed analysis of the magnetic field fluctuations in various areas of the magnetosphere and solar wind plasma was carried out using modern mathematical methods (fractal, multifractal and wavelet analysis). The results of the analysis allow to explain the large-scale nature of turbulent processes in the transitional and boundary regions of the Earth's magnetosphere (Kozak L., Cheremnyh S.).

The harmonization of polar acoustic-gravitational waves and ultra-low frequency (ULF) fluctuations of magnetic and electric fields in polar regions was found by satellite measurements at ionospheric heights. This effect is an important manifestation of the magnetosphere-ionospheric interaction. On the basis of the analysis of these satellite observations, it was concluded that the electromagnetic ULF pulsations of the magnetosphere are the source of generation of acoustic-gravity waves (AGW) in the polar ionosphere. It was found that the resonant generation of AGW occurs when the frequencies of magnetospheric ULF waves with the Brent-Väisälä frequency are coincident (Kryuchkov E., Cheremnykh O., Fedorenko A.).

The distribution of acoustic-gravitational waves in horizontally heterogeneous flows of the ionosphere was studied. It is shown that the areas of these flows are natural low-frequency filters and amplifiers of acoustic-gravitational waves. Taking into account this effect, it was possible to reconcile the results of satellite measurements and ground-based observations of AGW in the polar thermosphere (Fedorenko A., Kryuchkov E., Cheremnykh O., Selivanov Yu.).

Complex ground-space experiments for studying the effects of acoustic perturbations of the ionosphere were analyzed. The theory and numerical algorithm for simulation of nonlinear parametric generation of the infrasonic signal and its dissemination from the Earth's surface to the ionosphere were developed. Realistic parameters of the medium and the effect of transformation of infrasound in acoustic-gravitational waves were taken into account. The problem of the special form of the signal, which provides reaching of the ionosphere with the minimum power of the infrasonic device, was solved. (Selivanov Yu., Rapoport Yu., Cheremnykh O., with the participation of Lviv Center of Space Research Institute).

New methods for identification of nonlinear mathematical models to prediction of geomagnetic indices using optimization methods were developed within the European project PROGRESS 'Prediction of Geospace Radiation Environment and Solar Wind Parameters (Horison 2020-SPACE-2014, GA # 637302). A new method for prediction the behavior of geomagnetic indexes by local Lyapunov indices was developed. The prediction horizon of Dst index was calculated (Yatsenko V.).

The generation of ULF waves in the magnetosphere of the Earth near the minimum of the alvenian frequency was investigated. It is shown that the model of the radially inhomogeneous plasma cylinder adequately describes the ULF-perturbation in the Earth's magnetosphere. An equation of small oscillations for the ULF-mode was obtained. It is shown that this equation takes into account a fast magnetic-sound wave that is characteristic of an open magnetospheric system. It was found that the appearance of a fast magnetospheric wave in a magnetospheric plasma leads to the generation of alfvenian waves with a discrete spectrum. This confirms that such modes are generated near the maximum of the alfvenian frequency. In addition, it is shown that discrete alfvenian modes are also generated near the minimum of alfvenian frequency (Cheremnyh S.).

New methods of modeling and optimization of perspective materials for spacecraft thermal protection systems have been proposed. New results concerning numerical modeling of composite materials for spacecraft thermal protection systems were received. A new method for estimating the temperature distribution in the thermal protection system was developed (Yatsenko V.).

The structure and spectral composition of the field of gravitational waves in the upper thermosphere according to direct satellite observations were investigated on the basis of the developed method of detection, selection and evaluation of atmospheric gravitational wave parameters. The data of measurements on the satellite DE 2 for the period October 1982 - February 1983 were used (Lizunov G., Skorokhod T., Piankova O.)

**II Applied research**

Maps of the earth's surface with a resolution of 10 m, based on the developed methods of in-depth training were constructed for the first time in Ukraine within the ERA-PLANET project (The European Network For Observing Our Changing Planet) with the support of the European Space Agency. These methods, implemented in the development of technologies for forecasting winter wheat yields at the level of regions, districts and individual farms of Ukraine, are used not only by state monitoring bodies, in particular by the Agrometeorology Department of the Ukrainian Hydrometeorological Center and the Ministry of Agrarian Policy and Food of Ukraine, but also by the United Nations Program for the Use of Satellite Data for the Monitoring of Emergencies UN-SPIDER as the best technology. Jointly with European partners, in particular ESA (European Space Agency) and JRC (Joint Research Centre's), it is envisaged to create a Regional Preprocessing Center for Satellite Agromonitoring (Kussul N., Shelestov A., Kolotii A., Yaylimov B.).

The theoretical bases of strategy and decision support in complex weakly structured systems on the example of space activity were developed. The hierarchical system of objects of space activity was constructed using the procedures of target and structural-functional analysis. Integrated system of criteria and indicators were developed for assessing the quality of perspective space projects and programs, and monitoring the effectiveness of the implementation of current projects. The methodological provisions of the theory of decision making on modeling and analysis of complex objects are generalized. A pilot version of the methodology of multi-criteria analysis of the quality of space projects and programs for substantiation of decisions on the development of space activity of Ukraine was developed (Corresponding Member of NAS of Ukraine Fedorov O., Samoilenko L., Kolos L.).

The modern intellectual systems of spacecraft laser-based docking were considered. The influence of space weather factors on the functioning of the spacecraft docking system was analyzed. The algorithms for measuring the spatial and angular coordinates of the spacecraft on the visual representation of active markers using the method of triangulation were developed (Yatsenko V., Pidgorodetska L., Nabivach V.).

The electrical and elastic properties of polymers with different chemical nature of the filler were studied with aim to optimize the electro-elastic properties of the active elements of electromechanical devices. It was created a material, that demonstrates a high level of electric current and the long-term stability of the electric sensory response in real-time in a class of composites with a segregated structure of the filler (in the form of a three-dimensional frame in a polymer matrix). (Klimenko Yu.)

The method of spectral research and selection of test objects for the territories of Ukraine, that are potentially suitable for post-start radiometric calibration of satellite optoelectronic sensors, based on archival satellite data, was developed. A corresponding vector geoinformation layer was created. (Zelik Ya., Chorny S., Pidgorodetska L.).

The satellite imagery processing procedures for integration in the model of estimation of the state of natural and transformed ecosystems were proposed. The integral assessment of ecosystem condition was carried out for all components of habitats and their changes relative to previous years. The use of space geo-monitoring information in these models allows to detect changes in the characteristics of ecosystems in time and space (Semeniv O., Pidgorodetska L.).

A complex of works for the creation of a ground-space software and hardware complex and information services for the analysis of observations of ionospheric reviews on distributed natural and artificial sources of energy extraction over the globe at the Institute was carried out. The created information service, through the introduction of modern information technologies, will promote progress in the field of ionosphere science, promotion of relevant applied initiatives such as the European program of Global Monitoring and Security (GMES), etc., the development of methods for monitoring and forecasting of space weather, as well as diagnostic methods of Earth's catastrophes according to space observations data (Lizunov G., Piankova O., Reshetnik V., Skorokhod T., Parnowski O., Vlasov D., Olifer L. , Kovalchuk O., Kuzmich A.).