Jacopo Nazzaro
High-Precision Computation and Classification of Periodic Orbits in the Circular Restricted Three-Body Problem.
Rel. Lorenzo Casalino, Davide Conte. Politecnico di Torino, Master of science program in Aerospace Engineering, 2025
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Abstract
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
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