The effective management and positioning of satellite constellations are critical to ensuring optimal performance and communication capabilities in space missions. This research focuses on developing Model Predictive Control (MPC) strategies for the precise positioning of satellite constellations, with an emphasis on optimizing thruster usage while maintaining desired orbital separations between satellites. Specifically, we generate a suitable control dynamics to position an arbitrary number of satellites at prescribed positions within the same orbital plane. Our approach involves formulating a control framework that anticipates future orbital states and constraints, allowing for autonomous, real-time adjustments to thruster commands. We aim to crank down fuel consumption during orbital maneuvers while still achieving positional requirements in short time. The findings highlight the advantages of using MPC in satellite constellation management, offering a robust solution for fuel-efficient operations without compromising positional accuracy. This work paves the way for future developments in autonomous satellite positioning and the management of larger constellations, contributing to advancements in space mission planning and execution.