Construction of stable parameter estimates for artificial earth satellite orbits

Mathematics

Scientific paper

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Artificial Satellites, Orbit Calculation, Orbital Elements, Satellite Orbits, Accuracy, Least Squares Method, Mathematical Models, Orbital Position Estimation

Scientific paper

A method is developed for the multidimensional estimation of orbital parameters in the case of robust trajectory measurements. Modeling results show that, in the absence of robust measurements, the proposed method is close in accuracy to the least squares method. In the presence of robust measurements, the method differs in accuracy from Huber's (1964) estimation, and from estimates of the alpha-truncated mean type in the case of optimal parameters for these estimates.

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