How does SpaceX get their rockets to stay vertical when hovering without tips over and eventually crashing into the ground? I don't mean the initial launch. I mean when its coming back down I feel like the gravity would take advantage of one tiny wobble and send it to the ground because the rocket is top heavy.
If you mean the Falcon 9 then that cannot hover. It has TWR >1 during the landing even when using just 1 of its 9 engines. But yes it can stay vertical during the descent by using thrust gimbal. The Grasshopper test rocket is able to hover that way. The nozzle of the engine can point a bit to the side to balance the long rocket - similarly as you can balance a stick on your finger.