Vestnik of Saint Petersburg University Mathematics Mechanics Astronomy • Vol 8 • No 1
Averaging technique in the problem of satellite attitude stabilization in indirect position in the orbital reference frame with the use of Lorentz torque
January 2021 • Aleksandr Yu. Aleksandrov, Natalya Andriyanova, Aleksey A. Tikhonov
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 sufficie…