Application of local polynomials for the estimation of the parameters of a dynamic system on the basis of observational results

Mathematics – Dynamical Systems

Scientific paper

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Astrodynamics, Dynamical Systems, Parameter Identification, Polynomials, Errors, Matrices (Mathematics), Random Processes

Scientific paper

Sukhoruchenkov's (1971) approach is used to obtain general mathematical relationships for determining the errors in the estimation of the parameters of a dynamic system (e.g., a spacecraft) due to the inaccurate knowledge of the mathematical expectation of the function considered. The dependence of these errors on the characteristics of the dynamic system is shown for specific examples.

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