Mathematics
Scientific paper
May 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984kosis..22..361c&link_type=abstract
Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 22, May-June 1984, p. 361-368. In Russian.
Mathematics
Algorithms, Perturbation Theory, Space Navigation, Spacecraft Trajectories, Kalman Filters, Least Squares Method, Linear Equations, Matrices (Mathematics), Signal To Noise Ratios, Trajectory Measurement
Scientific paper
The paper proposes a method for investigating perturbations in linear algorithms for the solution of certain spacecraft navigation problems, e.g., algorithms for the processing of trajectory measurements. The method is illustrated by an analysis of perturbations in the solution of a system of linear equations obtained by the least squares method. It is concluded that the proposed approach can be used to study perturbations of the Kalman-filtering process due to perturbations of the covariance matrix of measurement noise and the a priori covariance matrix of the estimation vector, as well as due to perturbations of the measurement matrix and the transition matrix of the system.
Chernov Alexey
Iastrebov V. D.
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