The paper deals with the methodological approach to the development of a problem-oriented system of automated design. The system enables interactive setting and solving of design problems, updating design parameters and obtaining the results required for Earth remote sensing satellites quickly and efficiently. The process of setting and solving problems with the help of the system under discussion involves the following stages: input of the design object parameters and connection operators; setting of input (known) and output (required) parameters; checking of the problem accuracy and solvability; determining, for each variable, the equation it may be found from; dividing the mathematical model into separate models; determining the sequence of steps in solving the problem; calculating the numerical values of required parameters. The development of a problem-oriented system can be carried out using methods of the theory of sets and theory of graphs that makes it possible to automate the process of solving design problems. The methodology under consideration is implemented in software developed in Java programming language that allows solving problems of high dimensionality. Illustrative examples are given.
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