Mathematical model filtering canonical parameters of satellite-repeater in orbital motion


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Abstract

For the effective solution of the problem estimation of canonical parameters the satellite-repeater at orbital motion the substantial statement within which the generalized scheme of model filtration of coordinates and a vector of speed movement the satellite-repeater is given is formulated. The system of restrictions and assumptions is introduced. When the state vector is represented by a continuous vector Markov process, the generalized equations of state and observations in kinematic variables are determined. Using the methods of numerical differentiation, schemes for solving ordinary differential equations, optimization, linearization of the original filtration problem in determining the rules for calculating the evolution and measurement matrices is performed. The efficiency of the generated algorithmic solutions is tested on specific examples.

About the authors

I.S. Polyanskii

The Academy of the Federal Guard Service of the Russian Federation

Author for correspondence.
Email: van341@mail.ru

I.V. Polyanskaya

The Academy of the Federal Guard Service of the Russian Federation

Email: van341@mail.ru

T.Z. Pham

The Academy of the Federal Guard Service of the Russian Federation

Email: giapptvn1412@gmail.com

References

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