Non-linear oscillation of inextensible cable-connected satellites system at the equilibrium position near the main resonance for small eccentricity e of the orbit with oblateness of the earth and air resistance as perturbative forces

Abstract

This paper is devoted to study the non-linear main resonant oscillation of the system about stable position of equilibrium where it oscillates like a dumb-bell satellite in the phase plane (a,q), B.K.M. method has been exploited to get the general solution valid at and near the main resonance n=1.