Meant to ask this the other day, but did you guys ever work out that math? Lol
Is it survivable?
Watched this when it came out, havent had the time to watch again. Prolly will this morning.
Guessing everyone here is pretty familiar with the guy.
Survivable in terms of a design existing that introduces fewer than 5gs onto a human occupant and offering substantial acceleration over a longish period of time? Yes that math can work out, but obviously the faster you go and the slower you accelerate the more mass and engineering you need to make it work. What doesn't work out is maintaining the velocity of the skyhook in any reasonable usage scenarios on earth, or maintaining it in the presence of atmosphere.
I believe the AEPS you linked before provides 1.77 Newtons of thrust
Advanced Electric Propulsion System - Wikipedia
which means that if you had two of them on either ends of a skyhook they would with a mass at the end equivalent to a SpaceX starship (120,000kg), they'd accelerate at 0.00001475 m/s2.
If you wanted them to move at say, 2x low earth orbit speed ( say 16,000m/s) and then bring a spaceX Starship from a zero orbital speed to LEO speed by basically dropping half your speed into the starship, and then have the skyhook ends accelerate back to 2x LEO speed, you'd be able to do that kind of mission every ohhhhhhh.... 6277 days. And that's ignoring atmospheric drag.
Without equivalent mass entering Earth, the skyhook is DOA. You're just shifting the burden of fighting gravity to orbit where propellant is scarce instead of fighting gravity on earth where it's plentiful.
Note: I didn't double check any of my math, but it doesn't really matter because the end result to accelerate a skyhook is going to be "fucking forever". We don't have the tech to accelerate mass quickly without massive rockets. If we find a non-bullshit EMDrive or find a way to harvest ice from asteroids and turn that into rocket fuel, or do anything to turn 0.00001475 m/s2 into a much higher number, then things change. Dramatically.