Comparison of hamiltonian structure-preserving and floqúet mode station-keeping for libration-point orbits

Libration-point orbit (LPO) missions are often selected for study the Sun and our Universe. The effect of perturbations such as the gravitational effect of other planets and Solar Radiation Pressure (SRP) makes the LPO's environment highly unstable. Thus, stationkeeping maneuvers are required to keep the spacecraft close to its nominal trajectory and a novel idea is to use perturbations such as SRP for a propellant-free control system. A Hamiltonian-Structure Preserving (HSP) control, which exploits the natural dynamics, is selected since it requires low acceleration. The focus of this paper is to investigate the robustness of HSP; thus, a comparison with a similar approach such as the Floqúet Mode (FM) is analyzed to identify their main features. A sensitivity analysis by changing the HSP and FM controllers' parameter is done for SOHO's mission; while, an extension of the HSP control enhanced with SRP is investigated for high amplitude planar-Lyapunov and distant prograde orbits.