Conditions of the uniqueness of the estimate of the least squares method in nonlinear problems of space navigation

Details Conditions of the uniqueness of the estimate of the least squares method in nonlinear problems of space navigation Conditions of the uniqueness of the estimate of the least squares method in nonlinear problems of space navigation

Sep 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984kosis..22..804m&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 22, Sept.-Oct. 1984, p. 804-807. In Russian.

Physics

Least Squares Method, Navigation Aids, Parameter Identification, Space Navigation, Error Analysis, Minima, Nonlinear Equations, Uniqueness Theorem

Scientific paper

A major difficulty in nonlinear problems of space navigation is the multiplicity of minima of the functional used in the least squares method. The present paper establishes conditions under which the global-minimum estimate is justified. The necessity of accounting for nonlinearity is connected with the magnitude of measurement errors and with the size of the region of a priori values of the estimated parameters.

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