High-Precision Computation and Classification of Periodic Orbits in the Circular Restricted Three-Body Problem

This thesis presents an advanced computational tool for the precise calculation and classification of periodic orbits in the Circular Restricted Three-Body Problem (CR3BP), thereby surpassing the capabilities of NASA JPL's Three-Body Periodic Orbits catalog. This work improves accessibility, personalization, and usability for astrodynamics researchers and professionals by providing a flexible environment in which to explore and analyze CR3BP orbit families in both standard and user-defined systems. The main innovations include: - Customizable modelling: definition of system mass ratios and system parameters (e.g. length unit, bodies' shapes and dimensions), overcoming the limitations of the only seven predefined systems in the NASA JPL catalog (Sun-Earth, Sun-Mars, Earth-Moon, Mars-Phobos, Jupiter-Europa, Saturn-Enceladus, Saturn-Titan) . - An intuitive interface designed to guide users, even those without advanced astrodynamic skills, through clear workflows for orbit selection, calculation, and results analysis. - Automatic estimation of desired orbits through the implementation of a genetic algorithm to derive initial conditions for any CR3BP periodic orbit of interest, with a focus on halo orbits. This is applicable to any existing or new user-defined three-body systems. - Orbital coverage analysis: a dedicated function that quantifies the surface coverage and resolution guaranteed by a given periodic orbit.