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Stability of trajectories, especially periodic orbits
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Classroom Contents
Earth-Moon-Spacecraft 3-Body Orbital Motion in Cislunar Space
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- 1 Cislunar Space Introduction
- 2 Example low-energy Cislunar spacecraft trajectories
- 3 Table of contents
- 4 Circular restricted three-body problem
- 5 Lunar rotating frame
- 6 Equations of motion
- 7 Tisserand relation, Jacobi constant
- 8 Dynamics along Tisserand curves
- 9 Realms of energetically possible motion
- 10 Five energy cases and zero velocity surfaces
- 11 Necks at Lagrange points L1, L2, and L3
- 12 Motion near the stable Lagrange points L4 and L5
- 13 Tadpole and horseshoe orbits
- 14 Oterma comet goes between interior, secondary and exterior realms
- 15 Motion near lunar L1 and L2
- 16 Periodic and quasiperiodic orbits about L1 or L2
- 17 Periodic orbit family metro map
- 18 Stability of trajectories, especially periodic orbits
- 19 Stability of halo orbit
- 20 Quasi-halo orbits around a halo orbit
- 21 MATLAB code description
- 22 MATLAB Demonstration, compute a halo orbit and manifolds
- 23 Connections between cislunar and heliocentric space
- 24 Mean motion resonances, Lunar gravity assists
- 25 Effect of distant lunar flybys, analytical model
- 26 Global phase space dynamics, chaotic sea, stable sea shores, stable resonant islands
- 27 Resonance zone within the chaotic sea
- 28 More realistic models
