Stability of Extensible Cable Connected Satellite System in Elliptic Orbit

摘要

The combined effects of the solar radiation pressure and magnetic field of the earth on the motion and stability of two cable-connected satellites in the earth's central gravitational field of force in elliptical orbit has been studied. The cable connecting the two satellites is assumed to be a light, flexible, non conducting and extensible in nature. The effects of the earth shadow have been considered during the analysis. The equations of motion of the system have been deduced with respect to the centre of mass, which is assumed to move along a Keplerian elliptical orbit. Hence a set of non-linear, non-homogeneous and non-autonomous differential equations in a rotating frame of reference in Nechvile's coordinates has been obtained for the motion of the system. The Jacobi integral exists for the problem and with the help of this integral, we have discussed sufficient condition for the stability of the system in elliptical orbit.