The present work investigates the requirements and capability of a lunar satellite constellation designed to meet communication and coverage needs, connecting Earth and strategically significant lunar regions, such as the South Pole and the Equatorial Near-Earth side. These are viewed as potential locations for future human return missions, robotic exploration, and the establishment of stable habitats. Developing such a communication network poses several remarkable challenges. First, the considerable distance between Moon and Earth results in signal propagation delays and losses, that can lead to the necessity of high-power subsystems for the spacecrafts. The latter are more exposed to cosmic radiation than their Earth-based counterparts, which can substantially impact the operational lifetime.