Parametric control in the problem of spacecraft stabilization in the geomagnetic field

On electrodynamical compensation of a torque disturbing satellite orientation

“…where ⃗ P = Q⃗ ρ 0 , Q is the total satellite charge, ⃗ ρ 0 = Q −1 ∫ V σ⃗ ρ dV is the radius vector of the satellite center of charge relative to its center of mass C, σ is the density of charge distribution over the satellite volume, ⃗ ρ is the radius vector of the satellite element dV relative to its center of mass, For the stabilization of the programmed motion, one can try to use the approach suggested in [1] choosing the laws of variation of parameters ⃗ P and ⃗ I as the sum of two terms…”

“…In the problem of satellite electrodynamic attitude stabilization [1], [2], [4], [6] it is required to generate the control torques providing the existence and the asymptotic stability of the satellite position in the König frame such that the equations (1) hold, and, moreover, the satellite angular velocity with respect to the König frame is equal to zero:…”

“…The Lorentz torque and the torque of the satellite's magnetic interaction with the geomagnetic field have a significant impact on the satellite's attitude dynamics and can be used in the construction of a satellite attitude control systems: electrostatic or magnetic. In the paper [1] it was shown that the usage of only electrostatic or magnetic control systems is concerned with the restrictions on the direction of the control torque, so there may be cases when the control system is not doing its job. At the same time it was shown that electrostatic and magnetic control systems may be effectively combined in the united electrodynamic attitude control system which is free of the mentioned restriction [1].…”

“…In the paper [1] it was shown that the usage of only electrostatic or magnetic control systems is concerned with the restrictions on the direction of the control torque, so there may be cases when the control system is not doing its job. At the same time it was shown that electrostatic and magnetic control systems may be effectively combined in the united electrodynamic attitude control system which is free of the mentioned restriction [1].…”

“…In the last three problems the direct application of the electrodynamic control method developed in [1], proved to be impossible in the general case because of the absence of the satellite equilibrium position or another particular motion in the basic coordinate system. Therefore, it is necessary to improve the electrodynamic control method in order to ensure the possibility of compensation the external disturbing torque.…”