ABOUT CONSERVATION OF PERIODIC MOVEMENTS OF THE MAGNETIZED SATELLITE AT DISPLACEMENT ITS CENTER OF MASS

Abstract

The perturbed movement round the centre of mass of the magnetized dynamically symmetric satellite in a geomagnetic field taking into account the perturbations caused by insignificant displacement of the centre of mass and magnetization of a cover of the satellite is considered. By Poincare's method it is established that from family of periodic decisions of not unperturbed problem at above specified perturbations two isolated decisions existing at enough small ε and analytically depending on this parameter are born, at least. Thus one of them is stability on the first approach, and another – is instability.