Mathematics
Scientific paper
Aug 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980stin...8121984b&link_type=abstract
"Evaluation of orbits with incomplete knowledge of the mathematical expectancy and the matrix of covariation of errors Transl.
Mathematics
Errors, Optimization, Orbit Calculation, Orbital Mechanics, Accuracy, Algorithms, Covariance, Least Squares Method, Matrices (Mathematics), Quadratic Programming, Radial Velocity
Scientific paper
The problem of selecting the optimal algorithm of filtration and the optimal composition of the measurements is examined assuming that the precise values of the mathematical expectancy and the matrix of covariation of errors are unknown. It is demonstrated that the optimal algorithm of filtration may be utilized for making some parameters more precise (for example, the parameters of the gravitational fields) after preliminary determination of the elements of the orbit by a simpler method of processing (for example, the method of least squares).
Bakhshiyan Ts. B.
Elyasberg P. E.
Nazirov R. R.
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