Cislunar Space - 3-Body Model of Orbital Dynamics Beyond the Geosynchronous Belt

Cislunar Space - 3-Body Model of Orbital Dynamics Beyond the Geosynchronous Belt

Ross Dynamics Lab via YouTube Direct link

Introductory comments

1 of 36

1 of 36

Introductory comments

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Cislunar Space - 3-Body Model of Orbital Dynamics Beyond the Geosynchronous Belt

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

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