Determination of an optimal program of trajectory measurements with correlated errors

Mathematics

Scientific paper

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Error Analysis, Orbit Calculation, Orbital Mechanics, Trajectory Analysis, Artificial Satellites, Covariance, Mars (Planet), Matrices (Mathematics), Optimization

Scientific paper

An investigation is made of the problem of finding optimal times of measurements with correlated errors. The structure of the covariant measurement error matrix is assumed known. A combination of methods is proposed that permit the solution of the problem. An optimal program of measurements is given for the case of a determination of the orbit of an artificial Mars satellite for various correlation coefficients. The effect of correlation on the accuracy of the determination of trajectory parameters is studied.

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