No need to put a space ship in earths atmosphere to study humans. Simply monitor our TV and radio from a near by but undetectable [to us] location. Or use spies if they can mask themselves as human.
Not so sure that human technology will advance at the rate you expect in the next centuries. Human progress has been historically slow prior to the past 150 years. George Washington got from point a to point b same as Cesar did-on a horse. It was the understanding and harnessing of electricity that caused the dizzying advancements we have grown accustomed to. As the years go by we may further refine it's use, as we do now, but will there be civilization changing advances that happen overnight like the electric motor or lights? Maybe, Maybe not.
Is there a force in nature that will cause a huge advance when harnessed as electricity did? Possibly Quantum physics will fill that role, but that's unknown.