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This paper is dealt with control from satellite of artificial disturbances in the ionosphere. Such disturbances can be excited by means of interaction of powerful radiation generated by earthbased heaters with the ionosphere. If next cut-in of a heater, periodicity of cut-ins, parameters of signals radiated by a heater (carrier frequency, modulation frequency, modulation format) are unknown and one has to design an orbit group capable to register primary radiation of a heater or products of its activity then such a problem is suggested to be referred to as inverse problem. A great number of orbit groups differing in parameters come out of solution of inverse problem. To choose the best solution (design of orbit group with optimal parameters) a model function allowing to give an integral description for orbit group and connecting external parameters of orbit group (information being acquired by orbit group from the heater, financial expenditure and period of time being required to deploy the orbit group) is synthesized. External parameters describe orbit group from customer’s point of view. External parameters of orbit group are functions of its internal parameters (type and parameters of orbits, quantity of orbits, relative orientation of orbits, number of satellites pro a single orbit and their total number in the orbit group, arrangement of satellites for each orbit). Internal parameters describe orbit group from designer’s point of view. Three criterions and appropriate methods for solution of inverse problem consisting in monitoring of earth-based heater are considered in this paper. This criterions and methods take into account the most widespread customer’s limitations for external parameters of orbit group. A solution of inverse problem using criterion of heater’s minimum non-observation is set forth as an example. This example shows that monitoring of primary radiation generated by a standard heater on conditions that a) one has no limitations in funding and time to deploy an orbit group, b) one can obtain no a priori data about heater’s activity and c) one must provide non-stop monitoring of primary radiation generated by a heater, we obtain an orbit group consisting of eight satellites on high-elliptic orbit (“Molniya”-type) with longitude correction in 34°.

METHODS FOR SOLVING OF INVERSE PROBLEM CONSISTING IN MONITORING FROM SATELLITE OF ARTIFICIAL DISTURBANCES IN THE IONOSPHERE