Steady-State Oscillations of a Satellite with Passive Attitude Control System in the Magneto-Lorentz Coordinate System

In this paper, an artificial Earth satellite with an electrodynamic attitude control system is considered. Satellite attitude stabilization in the magneto-Lorentz coordinate system is studied. The problem of the analytical construction of the periodic steady-state oscillations of the satellite in the passive control mode is solved. The solution is obtained in the form of a partial sum of trigonometric series. The algorithm for constructing solution is based on the introduction of auxiliary complex variables that make it possible to transform the initial non-autonomous differential equation of the ۶th order to an autonomous differential system of the ۸th order, for which the procedure for analytically finding the coefficients of a trigonometric series does not present fundamental difficulties, since it is reduced to sequential transformations using recurrent formulas. The constructed steady-state oscillations of the satellite make it possible to correct measurements of on-board instruments and increase the accuracy of information transmitted from the satellite.

کلیدواژه ها:

Satellite ، electrodynamic attitude control ، Magneto-Lorentz coordinate system ، stabilization ، Steady-state oscillations ، computer simulation