A Simple Answer to the Complexity of Spaceflight

Think of Kerbal Space PROBABILITY. Extended video incl. chapter 5 - Topics ----------- • 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 ---------------- 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 ----------------------- Patrick Gibson Houston Lucas Daniel Altmann ... and all my patrons! Thank you for watching! Torsten Oberth and out