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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 atmospheric resistance, 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.

iosr journal of mathematics

The Effect of Atmospheric Resistance, Magnetic Force and Oblateness of the Earth on the Motion and Stability of two satellites connected by an extensible cable in circular orbit of the Centre of Mass.