Unmodeled perturbation effect on the orbit determination accuracy

Mathematics

Scientific paper

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Astrodynamics, Mathematical Models, Orbit Calculation, Orbit Perturbation, Orbital Elements, Correlation, Matrices (Mathematics), Vectors (Mathematics)

Scientific paper

The dependence of the estimates of an orbital parameter from unmodeled perturbations is considered that affect a space object but are not taken into account in the mathematical model of motion used in the paper. The expressions for ensured characteristics of the accuracy in the estimate of the given parameter is obtained under the condition that there are known restrictions on mathematical expectations and the correlation function of these perturbations. The calculated results for the specific problem are given.

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