Trajectories with Prescribed Itineraries in the Three-Body Problem - MATLAB Tutorial

Trajectories with Prescribed Itineraries in the Three-Body Problem - MATLAB Tutorial

Ross Dynamics Lab via YouTube Direct link

Matlab tutorial begins, code provided see link above

6 of 13

6 of 13

Matlab tutorial begins, code provided see link above

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Trajectories with Prescribed Itineraries in the Three-Body Problem - MATLAB Tutorial

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  1. 1 Introduction, Summary
  2. 2 Find region with desired itinerary for trajectory
  3. 3 Step 1, Select appropriate energy
  4. 4 Step 2, Compute Lagrange point eigenvalues & eigenvectors
  5. 5 Step 3, Compute Lyapunov orbits via numerical continuation
  6. 6 Matlab tutorial begins, code provided see link above
  7. 7 Step 4, Compute stable and unstable invariant manifold tubes
  8. 8 Step 5, Poincare section of tube
  9. 9 Step 6, Compute other tube Poincare sections
  10. 10 Step 7, Pick initial condition in intersection of tubes X,J,S
  11. 11 Tube intersection after several circuits about secondary mass
  12. 12 Temporarily captured satellite of Jupiter
  13. 13 Longer itinerary construction X,J,S,J,X

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