Effect of the correlation of measurement errors on the optimal program of trajectory measurements

Mathematics

Scientific paper

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Correlation, Earth-Mars Trajectories, Error Analysis, Random Processes, Trajectory Measurement, Trajectory Optimization, Algorithms, Computer Techniques, Least Squares Method, Matrices (Mathematics), Orbital Elements

Scientific paper

The paper describes a method for selecting an optimal program of trajectory measurement which would assure minimal error in determining an assigned trajectory parameter. The processing of measurements is carried out by the least squares method while the structure of the covariance matrix is assumed to be known. The method is applied to the determination of the orbit of an artificial Mars satellite.

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