In this thesis will be analysed a strategy of optimization of trajectories for missions to near-Earth asteroids. Near-Earth Asteroids, also known as NEA, are a class of asteroids of sizes ranging from meters to tens of kilometres that orbit the Sun and whose orbits come close to that of Earth's, and this aspect makes them interesting, firstly in order to monitor their positions and predict eventual potential impacts with Earth. In addition, NEAs are interesting both from the perspective of studying the genesis of the Solar System and the life on our planet, and with the aim of a space economy also based on the extraction of the minerals they contain.