Explore the complexities of orbital dynamics in cislunar space through this comprehensive lecture on the restricted 3-body model. Delve into the fundamentals of astrodynamics beyond the geosynchronous belt, covering topics such as lunar mean motion resonances, libration-point orbits, and invariant manifolds. Learn about the Lagrange points, various types of orbits including Lissajous and halo orbits, and the stability of periodic orbits. Gain insights into the application of MATLAB for differential correction and modeling. Discover the connections between cislunar and heliocentric space, orbital resonances, and the implications for space mission design. Enhance your understanding of advanced concepts in celestial mechanics and their practical applications in space exploration.