Mathematics
Scientific paper
Sep 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978kosis..16..643e&link_type=abstract
Kosmicheskie Issledovaniia, vol. 16, Sept.-Oct. 1978, p. 643-650. In Russian.
Mathematics
Error Analysis, Least Squares Method, Numerical Stability, Orbit Calculation, Accuracy, Covariance, Mathematical Models, Matrices (Mathematics), Vector Analysis
Scientific paper
An assessment is made of the influence of possible mathematical-expectation errors and errors in the covariance matrix of measurement errors on the mathematical square-error expectation in the evaluation of some orbital parameter by the method of least squares. The concept of stability of a precision characteristic under consideration is introduced, and the sufficient stability and instability conditions are formulated. Means are proposed for ensuring stability of a precision characteristic in the statistical evaluation of orbital parameters by the method of least squares, using an arbitrarily large number of measurements.
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