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Cislunar Space Introduction
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Example low-energy Cislunar spacecraft trajectories
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Table of contents
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Circular restricted three-body problem
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Lunar rotating frame
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Equations of motion
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Tisserand relation, Jacobi constant
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Dynamics along Tisserand curves
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Realms of energetically possible motion
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Five energy cases and zero velocity surfaces
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Necks at Lagrange points L1, L2, and L3
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Motion near the stable Lagrange points L4 and L5
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Tadpole and horseshoe orbits
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Oterma comet goes between interior, secondary and exterior realms
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Motion near lunar L1 and L2
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Periodic and quasiperiodic orbits about L1 or L2
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Periodic orbit family metro map
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Stability of trajectories, especially periodic orbits
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Stability of halo orbit
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Quasi-halo orbits around a halo orbit
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MATLAB code description
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MATLAB Demonstration, compute a halo orbit and manifolds
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Connections between cislunar and heliocentric space
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Mean motion resonances, Lunar gravity assists
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Effect of distant lunar flybys, analytical model
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Global phase space dynamics, chaotic sea, stable sea shores, stable resonant islands
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Resonance zone within the chaotic sea
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More realistic models
Description:
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

Earth-Moon-Spacecraft 3-Body Orbital Motion in Cislunar Space

Ross Dynamics Lab
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