Dynamical Structures Around Periodic Orbits With Controlled Solar Radiation Pressure in the Earth−Moon System

Solar radiation pressure (SRP) introduces non-negligible perturbations to periodic orbits around libration points in the Earth–Moon circular-restricted three-body problem (CR3BP), affecting their stability and dynamical structure. This study investigates periodic orbits around libration points in the Earth–Moon CR3BP under the influence of SRP. When considering SRP in the Earth–Moon system, the Sun follows a circular motion with a synodic lunar period in the rotating frame of the Earth–Moon system. To handle the time-dependent nature of SRP, we render the non-autonomous system an autonomous one by augmenting state vector with the Sun's phase angle and the spacecraft's two attitude angles. This transformation enables stability and bifurcation analysis using conventional tools, such as monodromy matrix evaluation. Through this augmented framework, we can design and analyze families of periodic orbits, connecting solutions with fixed attitude angles to those exhibiting time-varying attitude angles. The analysis in this study, which takes into account the time variation of SRP, contributes to a deeper understanding of dynamical structures and bifurcation phenomena in dynamical systems influenced by SRP.