Effect of the Earth’s oblateness, the Shadow of the Earth due to the Solar Radiation Pressure and Magnetic Force on the Motion and Stability of two satellites connected by an extensible cable in circular orbit of the Centre of Mass

Abstract

In a linear motion of a system of two satellites connected by extensible cable, one stable equilibrium point exists when perturbative forces like Solar radiation pressure, shadow of the earth, oblateness of the earth, air resistance and earth's magnetic force act simultaneously. We have obtained one stable point of equilibrium in case of perturbative forces like the shadow of the earth due to solar radiation pressure, Magnetic Force and oblateness of the earth acting together on the motion of a system of two satellites connected by extensible cable in the central gravitational field of earth in case of circular orbit of the centre of mass. We have used Liapunov's theorem on stability to examine the stability of the equilibrium point.