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Stability of periodic orbits
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Classroom Contents
Cislunar Space - 3-Body Model of Orbital Dynamics Beyond the Geosynchronous Belt
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- 1 Introductory comments
- 2 Outline
- 3 Equations of motion
- 4 3-body energy - constant of motion
- 5 Tisserand relation, Tisserand curve meaning
- 6 Realms of possible motion
- 7 Zero velocity curves
- 8 Zero velocity surfaces
- 9 Lagrange points
- 10 L4, L5 - triangular points
- 11 L4, L5 - tadpole and horseshoe orbits
- 12 L1, L2 - collinear points
- 13 L1, L2 - 4 types of trajectories
- 14 Lissajous orbits
- 15 Halo orbits 3D
- 16 Lyapunov orbits planar
- 17 Stability of periodic orbits
- 18 Stability of halo orbits
- 19 Approaching and departing directions
- 20 Quasi-halo orbits
- 21 Stable and unstable manifolds
- 22 Transition tubes
- 23 MATLAB exercise intro
- 24 Differential correction
- 25 MATLAB demo
- 26 Cislunar-heliocentric space connection
- 27 Lunar L1 to Sun-Earth L2
- 28 Apollo 12 upper stage
- 29 Orbital resonance
- 30 Resonances with moon
- 31 Poincare section
- 32 Mixed phase space, chaotic and resonance regions
- 33 Semi-analytical model of multiple lunar flybys
- 34 Connection with ballistic capture
- 35 Persistence in realistic models
- 36 References
