Mathematics
Scientific paper
Sep 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977kosis..15..658b&link_type=abstract
Kosmicheskie Issledovaniia, vol. 15, Sept.-Oct. 1977, p. 658-667. In Russian.
Mathematics
Covariance, Matrices (Mathematics), Orbit Calculation, Quadratic Programming, Satellite Orbits, Algorithms, Error Analysis, Linear Systems, Optimization, Orbital Elements, Orbital Velocity
Scientific paper
The paper investigates the problem of designing an optimal linear unmixed filtering algorithm for the determination of the orbital elements of an artificial satellite. The optimality criterion is the minimum of the guaranteed accuracy characteristic obtained in the case of general constraints on the mathematical lag and covariance matrix of measurement errors. The problem is reduced to one of quadratic programming, and the algorithm is applied to the determination of the radial velocity of a spacecraft from range measurements.
Bakhshiian Ts. B.
Eliasberg P. E.
Nazirov R. R.
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