Solar Radiation Pressure Hamiltonian Feedback Control for Unstable Libration-Point Orbits

This work investigates a Hamiltonian structure-preserving control that uses the acceleration of solar radiation pressure for the stabilization of unstable periodic orbits in the circular restricted three-body problem. This control aims to stabilize the libration-point orbits in the sense of Lyapunov by achieving simple stability. It also preserves the Hamiltonian nature of the controlled system. The Hamiltonian structure-preserving control is then extended to a general case in which complex and conjugate eigenvalues occur at high-amplitude orbits. High-amplitude orbits are currently of interest to the European Space Agency for future libration-point orbit missions because they require a lower insertion Δv compared to low-amplitude orbits. Based on the design of the feedback control, the purpose of this work is to verify when the use of solar radiation pressure is feasible and to determine the structural requirements and the spacecraft’s pointing accuracy.