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Abstract. The article examines the possibility of using software kits to solve multi-physical tasks in betatron engineering. It emphasizes radiation control in aerospace industry using smallsize pulse betatron as a source of ionizing radiation. Main characteristics of the betatron magnetic field are calculated using Elcut software kit. Dependence of calculation accuracy on the grid quantity is studied. Focusing properties of the betatron magnetic field are analyzed.

The review about the problems of astrophysical phenomena pioneering researching by Russian recognized physicists – S.Anisimov, I.V.Minin, O.V.Minin, V.F.Minin and A.Velikovich - is carried out. For the first time, a mode of hypercumulative collapse of a conical cavity was proposed for the formation of an ultra-high-speed plasma jet. The description of “cumulative plasma jets” is presented. The main parameters of the cumulative plasma jet and the results of laboratory studies on the creation of a hyper cumulative plasma jet are described. It was shown that the proposed mechanism allows one to obtain record characteristics of such a jet, which have not been surpassed so far. Test data description of the numerical simulation of the inter action between plungers and a conic cavity on the explosive initiation of the D-D reaction with the aid of aluminum plungers is discussed. The mechanisms of the plunger surface acceleration are described. The generation of the Mach configuration of shock waves in the target was also used for the explosive production of wurtzite with a record yield of the mass of the synthesized material and to focusing of the shock waves in water using plane diffractive optics.

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