Iulia N. The mathematical modelling and monitoring of the lights system of civil aviation

The object of research is light devices of modern light-signal systems of airdromes of civil aviation. The aim of the dissertation is working out mathematical models of light devices that solve the following: the problem of monitoring the light devices which are in operation; the improvement of the numerically - analytical mathematical models of photometric bodies of light devices with the aim of raising the level of their adequacy for aviation simulators. While carrying out research and workings out on the dissertation the device of linear algebra was applied, methods of operational calculation, applied and calculus mathematics were used. The research developed and proved scientifically mathematical models of photometric bodies of exemplary light devices, received analytical formula for calculations of numerical tables that allow to estimate the technical condition of light devices, models of visibility of light devices in fog were investigated, recommendations about fragmentary imitation of a light-signal picture in aviation simulators were generated, mathematical models which are used for diagnostics and control of the technical condition of light devices in service were scientifically proved and researched. The obtained results are applied: on Аviation Scientific and Technical Complex "Antonov" as a part of the simulator of visual environment of the technical means complexes АN - 74 at the National aviation university by working out the operational methods of computer modelling of dynamic systems on a budgetary theme 062 - SB 02 "Development of new operational methods of the analysis and mathematical modelling of dynamic systems on basis of approximating polynomial spectra"; in educational process of the National aviation university at teaching the subject "Systems and complexes of electrolight-signal flights maintenance".