In the context of the renewed global interest in lunar exploration, driven by initiatives such as NASA’s Artemis program and ESA’s Moonlight initiative, the establishment of a reliable satellites system infrastructure is a critical technological prerequisite to accomplish mission objectives as Navigation & Communication or Moon Observation. Unlike Earth-orbiting systems, the deployment of satellite constellations around the Moon faces unique dynamical challenges arising from the highly non-uniform lunar gravitational field and significant third-body perturbations from the Earth. This thesis addresses the dynamical feasibility of adapting standard Earth-like constellation patterns (specifically Walker Delta, Walker Star, and Streets of Coverage) to the lunar environment by exploiting the theory of Lunar Frozen Orbits (LFOs).