Its tempting to go “woah I just figured out how SpaceX lands their rockets!!”, but sadly, that’s not really true.

Once you have generated a physically possible trajectory that gets you where you want to go, there’s a whole host of things that you need to do to actually go follow that trajectory: state estimation, closed loop feedback control, dynamically updating that trajectory based on real time conditions… and many more that someone who is an actual aerospace engineer (which I am not) would know. Beyond that, these solvers take a long time to run, and online (real time) optimization is incredibly hard to pull off correctly and safely: one wrong input and your solver could just spit back “fail”, causing the thing to fall out of the sky.