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** Description:** Relevance of the research of radar scattering characteristics of modern aerial objects using mathematical modeling substantiated in the paper. The current state of computer technology development allows solving aforementioned problem and implementation of rather complex algorithms for modeling secondary radiation of air objects with the required accuracy for use in practice. Analysis of existing methods for estimating secondary radiation of air objects, which allow achieving the goal connected with obtaining radar scattering characteristics of F/A-18A Hornet seaborne fighter-bomber was conducted. Methods based on integral representations of classical electrodynamics and their short-wave asymptotic behavior, have a number of advantages in this case. Model of aircraft F/A-18A Hornet surface was constructed, and basic mathematical relations are given, on the base of which the method of numerical simulation was developed. Results of calculation of radar scattering characteristics (radar cross section, "non-coherent" radar cross section, mean and median values of radar cross section, distribution laws of the reflected signal amplitude) of F/A-18A Hornet for various sounding frequencies are given. Obtained results can be used at the stage of modernization and design of advanced radar systems to estimate the capabilities of different design variants of considered systems for detection, tracking and non-cooperative identification of such type aerial objects. In order to use the results, obtained using the proposed method of mathematical modeling, will optimize the design of advanced aircraft to reduce their radar visibility. More over, the results, obtained using the proposed method of mathematical modeling, allow optimizing the design of advanced aircrafts to reduce their radar visibility. The developed method allows obtaining radar characteristics of various types of air objects for a given polarization, spatial and time-frequency parameters of the sounding signals in the interests of solving a wide range of radar problems.

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Keywords:
** aerodynamic air facility, secondary radiation, the effective surface scattering method of mathematical modeling, radar characteristics

Riapolov, I.Ye., Belevshchuk, Ya.O., Liashchenko, R.V. and Poliakov, A.V. (2017), “Kharakterystyky rozsiiannia palubnoho vynyshchuvacha-bombarduvalnyka F/A-18A Hornet v santymetrovomu, detsymetrovomu ta metrovomu diapazonakh dovzhyn khvyl” [Radar scattering char-acteristics of F/A-18A hornet seaborne fighter-bomber in SHF, UHF and VHF band],