Multi-objective optimization of Weak Stability Boundaries transfers to the Moon using a genetic algorithm

The purpose of this thesis is to analyze a low-energy transfer, a route capable of taking advantage of the Weak Stability Boundary region in order to travel from LEO to lunar orbit with minimal deltaV. The challenge in finding such a transfer lies in identifying the initial conditions to be used for trajectory propagation. The main methodology considered is based on an optimization of design variables through a genetic algorithm(GA). Before that, it has been attempted the application of a single shooting method which, unfortunately, has proved to be too constrained by the initial conditions provided, causing considerable difficulty in achieving the desired convergence. The following use of a genetic algorithm, on the other hand, has immediately shown to be more promising, allowing the identification of the desired results despite the lack of knowledge of optimal initial conditions. Therefore, the implementation of GA to perform initially a single-objective optimization and finally a more extensive multi-objective optimization will be discussed. Results of this dissertation will be derived from the analysis carried out with the latter. For the sake of completeness, the use of the shooting method will also be briefly mentioned first, as the results of this were useful in identifying a preliminary range of initial conditions for the GA.