Computation of the statistical quantities for covariance analysis using the orthogonal transformation method.

Details Computation of the statistical quantities for covariance analysis using the orthogonal transformation method. Computation of the statistical quantities for covariance analysis using the orthogonal transformation method.

Nov 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998acasn..39..344h&link_type=abstract

Acta Astron. Sin., Vol. 39, No. 4, p. 344 - 352

Statistics

1

Orbit Determination: Statistics

Scientific paper

The solution of weighted least-square problems obtained with the Givens-Gentleman orthogonal transformation method is shown to be equivalent to that in the statistical orbit determination theory. By using this method, the covariance analysis quantities of statistical significance, such as the considered covariance matrix and sensitivity matrix, are derived along with their propagation from initial epoch. It turns out that the covariance analysis with this method has the merits of more flexibility in parameters' combination for the achievement of optimal solution as well as a better numerical stability.

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