Generation and Stability Analysis of Displaced non-Keplerian Orbits in the Three-Body problem using Electric Sail Propulsion

The present study explores the generation and stability analysis of Displaced Non- Keplerian Orbits (DNKOs) within the framework of the Circular Restricted Three-Body Problem (CR3BP), employing Electric Sail (E-Sail) propulsion. Problem (CR3BP), employing Electric Sail (E-Sail) propulsion. The E-Sail is an innovative propellantless propulsion system that interacts with the solar wind through charged tethers, enabling continuous thrust without fuel consumption. A mathematical model that includes E-Sail dynamics in the CR3BP is developed to identify Artificial Equilibrium Points (AEPs). These points are positions where the sail continuous thrust balances gravitational and centrifugal forces, allowing for maintenance of displaced orbits that are not bound by Keplerian motion. The variation in sail orientation and thrust magnitude enables the definition of multiple AEPs, focusing on configurations that could be utilized for mission applications such as solar monitoring and the observation of mid- and high-latitude regions. To analyze the stability of the identified AEPs, a linear stability approach is adopted. Additionally, a proportional-derivative control law is introduced by modulating the voltage applied to the tethers, allowing for adjustments in thrust magnitude. The dynamical behavior of the system is then simulated following the application of a perturbation, and the results are analyzed to determine whether the point exhibits stable or unstable evolution over time.