Earth-Moon-Spacecraft 3-Body Orbital Motion in Cislunar Space
Explore the complex orbital dynamics of cislunar space in this comprehensive 1.5-hour lecture on the Earth-Moon-Spacecraft 3-body problem. Delve into the restricted 3-body model, which best describes orbital motion beyond GEO, where spacecraft are simultaneously affected by Earth and Moon gravity. Learn about lunar mean motion resonances, libration-point orbits, and their invariant manifolds. Examine the circular restricted three-body problem, equations of motion, Tisserand relation, and Jacobi constant. Investigate the dynamics near Lagrange points, including periodic and quasi-periodic orbits. Follow along with MATLAB demonstrations to compute halo orbits and manifolds. Discover connections between cislunar and heliocentric space, and explore global phase space dynamics, including chaotic seas and stable resonant islands. Gain insights from Dr. Shane Ross, an expert in the field, and access additional resources like free books, code files, and related course playlists to further your understanding of this fascinating area of orbital mechanics. Read more