What a lovely little thought challenge. I like it particularly because it forces us to address the elephant in the room that all knot tyers tend to try to ignore, namely that all knots weaken their cordage.
This little exercise requires us to a) firmly secure ourselves to the railing, and b) arrange for the break to be on the helicopter side of the hitch (although any break in, before or after the hitch will effectively disengage me from the helicopter.
I am reminded of my father’s ability to snap Sisal baler twine in his hand. This classical ‘hairy string’, the stuff of my childhood, could easily support the weight of an adult, yet could just as easily be snapped in the hand with a single away snap of the fists, while it would attempt to cut your hand in two if only a steadily increasing load was applied. The trick was to focus a single hard snap (shock load) into the two interlocked (single diameter) bytes held in the palm of the hand.
So, which do I go for first? Little point in fashioning a weak spot, if it meant I ended up dangling from a seriously weakened rope. Therefore, I need to go for a fixing first.
I don’t know how much force a helicopter can muster, but lets presume we have been tethered to the chopper by a length of the now ubiquitous 8mm Polly prop nom breaking strain ca 2,000lb.
My goto fixing for speed, simplicity and ‘get-it-rightidness’ would be six turns around the anchor rail. even assuming a modest coefficient of friction of say 0.4, this would give me a force magnification factor of ca 3 million - way more than enough for me to be able to hold the 2,000lb load needed to straight pull break the rope. Even if I only managed to wrap three turns on before the chopper took off, I would still have a magnification factor of ca 2,000 meaning I would only need to exert over a 1lb anchor force in order to beat the rope strength.
It’s when you are standing there though, heroically holding back the helicopter with just one hand, that you notice the bolts fixing the anchor start to fly out. Then you ponder on the wisdom of deciding not to throw that OH on the byte into the rope first…