Abstract
The navigation problem of a moving object by geophysical fields is considered. Within the framework of the proposed mathematical model of the navigation process, the approximation problems of a geophysical field ensuring the best correction of the navigation parameters are studied, algorithms for matching the measurements of the fields with their standard images are described, estimates for the informativity of geodesic fields are presented, and the problem of searching for the best (in the sense of informativity) trajectory are discussed.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 26, Nonlinear Dynamics, 2005.
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Berdyshev, V.I., Kostousov, V.B. Navigation of moving objects by geophysical fields. J Math Sci 140, 767–795 (2007). https://doi.org/10.1007/s10958-007-0017-5
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DOI: https://doi.org/10.1007/s10958-007-0017-5