Think of Kerbal Space PROBABILITY.
Extended video incl. chapter 5   / braintruffle  

Topics

• Interplanetary transport network
• Manifold hopping
• Weak stability boundary
• Lagrange point orbit bifurcations: Lyapunov Halo etc.
• Lowenergy transfers: 4/3body model effective potential Coriolis force zerovelocity curves
• Phase spaces (n vs. 1particle)
• Oberth effect via phase space in 1D & 2D: why parabolas are Oberthefficient
• Probability vs. reachability
• Ray vs. grid tracing
• Symplectic time integration
• Continuous vs. noncontinuous firing


Timetable

00:00 INTRO: Why probability tracing?
00:46 What makes it a tricky problem?
3:50 Why ray tracing is flawed
4:44 A better 4D grid tracer?
8:31 Probability vs. reachability
9:55 My solution strategy
12:45 SOLUTION I: Continuous firing problem
15:15 A new problem: noncontinuous firing in phase space
17:29 Parabolic approaches beat ellipses and hyperbolas: Oberthefficiency
19:09 Lowenergy transfers: 3body model effective potential Coriolis force zerovelocity curves
22:43 Lagrange points periodic orbits manifolds
24:57 Manifold hopping weak stability boundaries
27:59 Interplanetary transport network bifurcations of periodic orbits (Halo, Lyapunov, etc.)
29:56 SOLUTION II: Noncontinuous firing problem


Thanks to my Patreon supporters
  / braintruffle  

Patrick Gibson
Houston Lucas
Daniel Altmann
... and all my patrons!


Thank you for watching!
Torsten


Oberth and out