Iterative measurement-processing method based on a regularized process of the Newton-Kantorovich type

Details Iterative measurement-processing method based on a regularized process of the Newton-Kantorovich type Iterative measurement-processing method based on a regularized process of the Newton-Kantorovich type

Jul 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980kosis..18..518a&link_type=abstract

Kosmicheskie Issledovaniia, vol. 18, July-Aug. 1980, p. 518-526. In Russian.

Physics

Dynamic Control, Equations Of Motion, Iterative Solution, Newton Methods, Newton Theory, Orbit Calculation, Spacecraft Orbits, Algorithms, Convergence, Differential Equations, Motion Stability, Nonlinear Equations, Statistical Analysis

Scientific paper

An iterative algorithm is proposed for solving the problem of statistical data-processing for differential determination of a spacecraft orbit. The algorithm permits development of a stable procedure for evaluating the parameters of spacecraft motion without the need of calculating higher-order derivatives. The method is based on the concept of Newton-Kantorovich-type regularized processes which, in combination with an effective method of determining the regularization parameter, yield the required effect.

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