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Engineering Physics

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THE TASK OF MATHEMATICAL MODELLING OF COMPLEX PRO-CESSING OF THE INFORMATION IN THE NAVIGATION SPACE
A.V. BABICHENKO

the problems of mathematical modeling in the design of on-Board systems of aircrafts, as well as the generalized structure of the system of mathematical modeling of the information and control complex of the aircraft and its algorithms, consisting a model of the complex, a model of the aircraft, a model of the information space. The differences of the requirements to different parts of the simulation system are shown from a complete coincidence (for models of onboard algorithms and programs) to the practical lack of conformity. The simplified structure of simulation system, focusing on the development of onboard algorithms and programs of the extended complex processing of information is shown. The concept of the reference trajectory information is given and the system of requirements to it is formulated providing the maximum possible consistency of the results of mathematical simulation and field works. Details of the two-step method for the synthesis of such a reference trajectory information: At the first stage - construction of one of the well-known methods of array reference information. At the second stage, when actually modeling – recovery according to the data of the whole fullness of the reference trajectory information. Suggested key parameters for arrays of reference information - three coordinates and three parameter angular orientation - and the methods of creating arrays: numerical integration, a set of standard elements, using the titles of full-scale works. The advantages and disadvantages of these methods are show. The methods of approximation of the data arrays: Fourier series, cubic spline functions and elementary functions, the advantages of the method of cubic splines. Contains details of the formula algorithm full restoration of trajectory information for different sets of key parameters. Give a description of the method of accounting for deformation of the aircraft when modeling of his movement.
Key words: mathematical modeling, reference trajectory information, a two-step synthesis of the key parameters, Fourier analysis, cubic splines, typical maneuvers, deformation

Contacts: E-mail: rpkb@rpkb.ru

Pp. 79-92.

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