Non-linear planar oscillation of a satellite in elliptical orbit under the influence of solar radiation pressure, 1

Abstract

The non-linear oscillations of a satellite in an elliptic orbit around the earth under the influence of the solar radiation pressure have been studied in a series of papers 1 and 2. In paper 1, by using Melnikov's method the equations of motion have been shown to be non-integrable. The radiation pressure has been taken of the order of eccentricity e (e much less than 1) and therefore the solution is obtained by using BKM method in non-resonance case. It is observed that the amplitude of the oscillation remains constant up to second approximation. In paper 2, we have studied the resonance case and the chaotic nature of the given dynamical system