NON-LINEAR OSCILLATIONS OF EXTENSIBLE CABLE CONNECTED SATELLITES SYSTEM IN CIRCULAR ORB

摘要

Non-linear oscillations of extensible cable connected satellites system in the central gravitational field of the earth under the combined effects of the solar radiation pressure and the magnetic field of the earth in circular orbit have been studied. The cable connecting the two satellites system is assumed to be a light, flexible, extensible and non-conducting in nature. The motion of earth of the satellite relative to their centre of mass has been studied, while the centre of mass of the system orbiting around the earth. The dipole of the earth has its axis inclined from the polar axis of the earth 11°4'. The presence of these forces enables the application of variation of arbitrary constant methods due to Malkin to the equation governing the non-linear oscillations of the system in non-resonance as well as resonance case. The system exhibits, stable behaviour in non-resonance case as well as in resonance.