Phase space description of the dynamics due to the coupled effect of the planetary oblateness and the solar radiation pressure perturbations

The aim of this work is to provide an analytical model to characterize the equilibrium pointsand the phase space associated with the singly averaged dynamics caused by the planetaryoblateness coupled with the solar radiation pressure perturbations. A two-dimensional differentialsystem is derived by considering the classical theory, supported by the existenceof an integral of motion comprising semi-major axis, eccentricity and inclination. Underthe single resonance hypothesis, the analytical expressions for the equilibrium points in theeccentricity-resonant angle space are provided, together with the corresponding linear stability.The Hamiltonian formulation is also given. The model is applied considering, as example,the Earth as major oblate body, and a simple tool to visualize the structure of the phase space ispresented. Finally, some considerations on the possible use and development of the proposedmodel are drawn.