• MPC
• three-body problem
• quasi-Halo
• formation flight
• Halo
• NRHO

Formation flight in space is gaining prominence, replacing reliance on a single large spacecraft with missions involving multiple satellites. Distributed systems provide reliability through modularity and redundancy. Cislunar space is crucial for commercial space sector development, where satellite constellations and formation flights find extensive applications. However, challenges arise with guidance, navigation, and control of multiple satellites. Near-Rectilinear Halo Orbits (NRHO) are explored for their stability and potential for long-duration missions while quasi-periodic orbits around NRHO offer fuel-efficient formation flight thanks to their bounded motion around the central orbit. The research aims to assess the feasibility of formation flight in this perturbed environment, implementing a control system based on predictive modeling considering low-thrust propulsion systems. Computational methods in the Circular Restricted Three-Body Problem (CR3BP) model are used to compute orbits and study relative dynamics in a Local Vertical Local Horizontal (LVLH) frame. A Model Predictive Control (MPC) controller, integrated with collision avoidance and fuel optimization, is designed based on linearized relative dynamics. The implemented techniques enable continuous low-thrust formation flight, providing prospects for efficient satellite operations, collaborative missions, and commercial applications in cislunar space.