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Applied Physics and Mathematics

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Joint estimation ephemeris navigation satellites and coordinates of the object based on the methods of stochastic filtering
S.O. Kramarov V.I. Lukasevich

In the existing satellite navigation systems (SNS), the current
definition satellite ephemeris is in error, depending on the type
of SNS (GPS and GLONASS), the level of integration of disturbing
factors affecting the positions of the satellites, the update
rate, etc., and can reach even in small intervals time of considerable
magnitude. As for the calculation of satellite navigation parameters
are used deterministic algorithms that do not involve
the use of any navigational measurements and do not take
into account the stochastic nature of the effects of disturbing
the movement of the satellite. But it is clear that their inclusion
significantly improves the accuracy of the ephemeris data. In
this regard, the article discusses the possibility of constructing
algorithms for the current parameters of the perturbed motion
of satellites in conjunction with the navigation solution for any
moving objects. As the equations describing the change of satellite
navigation data, the algorithm is taken GLONASS as well
as an observer of the estimated parameters used data signals
code measurements (pseudo). To build a model complexed vector
navigation parameters of satellites and the object were used
equation describing the change in the navigation parameters of
any moving objects and invariant to the form of physical model
of the object, its trajectory, the nature of disturbances, etc.
The resulting representation of the equations estimated navigation
parameters in the form of «object-observer» allowed the
use of non-linear estimates as satellite ephemeris and vector
coordinates of the object, a generic (nonlinear) Kalman filter.
The effectiveness of the proposed approach is illustrated by a
numerical simulation of the algorithm filtering.
Keywords: ephemeris satellites, code and Doppler measurements,
nonlinear Kalman filter.

Contacts: E-mail: yuseab@yandex.ru

Pp. 13-19.

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