Dynamical taxonomy of the coupled solar radiation pressure and oblateness problem and analytical deorbiting configurations

Recent works demonstrated that the dynamics caused by the planetary oblateness coupledwith the solar radiation pressure can be described through a model based on singly averagedequations of motion. The coupled perturbations affect the evolution of the eccentricity, inclinationand orientation of the orbit with respect to the Sun-Earth line. Resonant interactionslead to non-trivial orbital evolution that can be exploited in mission design. Moreover, thedynamics in the vicinity of each resonance can be analytically described by a resonant modelthat provides the location of the central and hyperbolic invariant manifolds which drive thephase space evolution. The classical tools of the dynamical systems theory can be applied toperform a preliminary mission analysis for practical applications. On this basis, in this workwe provide a detailed derivation of the resonant dynamics, also in non-singular variables,and discuss its properties, by studying the main bifurcation phenomena associated with eachresonance. Last, the analytical model will provide a simple analytical expression to obtainthe area-to-mass ratio required for a satellite to deorbit from a given altitude in a feasibletimescale.