Satellite constellations are among the most promising space infrastructures because they offer a wide range of services, from Earth observation for scientific purposes to satellite navigation and telecommunications. Services of primary importance for daily life on Earth can be provided by the synergistic operation within the constellation. The following thesis carried out in collaboration with the mission analysis team of SITAEL S.p.A., fits within this engineering panorama. The premises of the work lie in the company's need to equip itself with a tool dedicated to the optimization of satellite constellations in Low Earth Orbit (LEO) for future applications in the telecommunications field.