The web of resonant periodic orbits in the Earth–Moon Quasi-Bicircular Problem including solar radiation pressure

This paper is devoted to the study of the influence of the solar radiation pressure on the dynamics around the dynamical substitutes of the L₁ and L₂ points in the Earth–Moon Quasi-Bicircular Problem. This dynamical model is a periodic perturbation of the Restricted Three-Body Problem that includes the gravitational effect of the Sun plus the solar radiation pressure acceleration on a sail. Starting from the simplest invariant objects in the Quasi-Bicircular Problem, i.e. the dynamical substitutes of the two equilibrium points, as well as the low order Sun resonant periodic orbits with the synodic period of the Sun, we study the evolution of the families of resonant periodic orbits when two sail parameters, defining orientation and efficiency, are varied. The study shows an intricate web of connections between the families. In the description we include their characteristic curves, the maximal Floquet exponent and the linear normal behaviour of the periodic orbits. As an interesting remark, it has been found that for some particular values of the parameters there exists periodic orbits that become stable under the influence of the solar radiation pressure acceleration.