Averaging technique in the problem of satellite attitude stabilization in indirect position in the orbital reference frame with the use of Lorentz torque Article Swipe

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Aleksandr Yu. Aleksandrov , Natalya Andriyanova , Aleksey A. Tikhonov ·

YOU? · · 2021 · Open Access · · DOI: https://doi.org/10.21638/spbu01.2021.111

A dynamically symmetric satellite in a circular orbit of small inclination is considered. The problem of the Lorentzian stabilization of the satellite in the orbital coordinate system in the indirect equilibrium position is solved under the conditions of the perturbing effect of the gravitational torque. To solve this problem, which is characterized by incomplete control, a method of averaging differential equations is developed. Using the original construction of the unsteady Lyapunov function, we obtain sufficient conditions for the asymptotic stability of the programmed satellite motion mode in the form of constructive inequalities with respect to the control parameters.

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Type: article
Language: en
Landing Page: https://doi.org/10.21638/spbu01.2021.111
PDF: https://math-mech-astr-journal.spbu.ru/article/download/10907/7655
OA Status: diamond
References: 19
Related Works: 10
OpenAlex ID: https://openalex.org/W3159334732

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