DOI

Abstract: 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.

Язык оригиналаанглийский
Страницы (с-по)95-105
Число страниц11
ЖурналVestnik St. Petersburg University: Mathematics
Том54
Номер выпуска1
DOI
СостояниеОпубликовано - янв 2021

    Предметные области Scopus

  • Математика (все)

ID: 75337369