What would human activity in space have been like if there had been no Cold War? Supposing that history is the same until the end of WWII, but that no Cold War tensions develop between the USA and the Soviet Union, when would the first satellites have been launched? When would the first humans have gone into space? When (if ever) would humans have gone to the moon?
From what I can tell, military and geopolitical rivalry between the two superpowers was the major driving force behind the both unmanned and manned spaceflight, especially in the earlier stages, so what would have happened without that rivalry? Without a cold war, there are still some good reasons to launch satellites, such as communication, weather, civilian and military reconnaissance (Military reconnaissance would presumably be on a smaller scale than in a cold war world, but there would still be a motive.) It seems likely, though, that without the sense of urgency that the cold war competition gave, it would be left to the military and private industry to launch satellites when and if they considered the cost justified. This probably means the earliest satellite will be launched somewhat later, and there will be fewer launched, at least until the 70s or 80s.
Manned space missions are much more problematic. Without either national prestige or military necessity to justify government funding, or any perceived economic benefits in the short or even intermediate term, will they ever happen at all, and if so, when, and who would fund them? The same thing applies to an even greater degree, of course, to manned missions to the moon or anywhere beyond earth orbit.
Also, what about unmanned missions with pure science and exploration focus? Would there be any equivalents to the unmanned scientific missions like US Pioneer, Mariner, Viking, Voyager, Galileo, Cassini, or their numerous Soviet, European, Japanese, etc., counterparts? If there were, who would fund them, and how?
Might some wealthy nation or group of nations end up supporting a manned space program or an unmanned scientific/exploratory program one reason or another even in the absence of anything like Cold War rivalry? In OTL, of course, other nations or groups of nations besides the USA and Soviets ended up supporting such missions, but the Japanese and European Space Agency didn't start sending their first unmanned probes beyond earth orbit until the 1980s, and of course the Chinese became only the third nation to independently launch a man into space in 2003. Does this suggest that without a cold war, the first unmanned science probes beyond earth orbit might not have come until around 1980 or 1985, and that the first human in space might not have flown until the beginning of the 21st century?