Speaker
Description
With the renewed focus on lunar exploration through NASA's Artemis program, there is a growing need for effective methods to calculate trajectories in the complex multi-body gravitational field around the Moon. The restricted four-body problem, particularly with the Sun, Earth, Moon, and a spacecraft, presents significant challenges due to non-autonomous characteristics and singularities from gravitational interactions. The Bicircular Restricted Four-Body Problem (BCR4BP) presents a framework in which two of the primary bodies rotate about their center of mass, while simultaneously orbiting the third mass around the system's barycenter. The transformations of Levi-Civita, Kustaanheimo-Stiefel, and McGehee have been implemented in the context of both the planar and spatial cases of the BCR4BP. In this study, we provide a comprehensive analysis that encompasses both numerical simulations and analytical results.