Think of Kerbal Space PROBABILITY.
Extended video incl. chapter 5 - [ Ссылка ]
Topics
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• Interplanetary transport network
• Manifold hopping
• Weak stability boundary
• Lagrange point orbit bifurcations: Lyapunov - Halo - etc.
• Low-energy transfers: 4-/3-body model - effective potential - Coriolis force - zero-velocity curves
• Phase spaces (n- vs. 1-particle)
• Oberth effect via phase space in 1D & 2D: why parabolas are Oberth-efficient
• Probability vs. reachability
• Ray vs. grid tracing
• Symplectic time integration
• Continuous- vs. non-continuous firing
Timetable
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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: non-continuous firing in phase space
17:29 - Parabolic approaches beat ellipses and hyperbolas: Oberth-efficiency
19:09 - Low-energy transfers: 3-body model - effective potential - Coriolis force - zero-velocity 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: Non-continuous firing problem
Thanks to my Patreon supporters
[ Ссылка ]
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Patrick Gibson
Houston Lucas
Daniel Altmann
... and all my patrons!
Thank you for watching!
Torsten
Oberth and out
