Uniqueness conditions in evaluation of least squares method in nonlinear space navigation problems
Abstract
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.
- Publication:
-
USSR Report Space
- Pub Date:
- September 1985
- Bibcode:
- 1985RpSpR.......49M
- Keywords:
-
- Least Squares Method;
- Navigation Aids;
- Parameter Identification;
- Space Navigation;
- Error Analysis;
- Minima;
- Nonlinear Equations;
- Uniqueness Theorem;
- Space Communications, Spacecraft Communications, Command and Tracking