If viewed from the North Pole, the Earth spins counter-clockwise.
Because of this, many satellites also orbit in the same direction as you can take advantage of the Earth's rotation and essentially receive a "boost".
However, what if the Earth spun in the opposite direction - clockwise? How would that affect space travel and exploration? I figure it won't change much for LEO as you can just simply point your rocket the other way. But what about for interplanetary spacecraft? For example, a spacecraft injecting into a Hohmann Transfer to Mars will execute a pro-grade burn above the side of the Earth that's facing away from the Sun (i.e. night side).
But a spacecraft that's in LEO orbiting clockwise can't do that, because the Earth is revolving counter-clockwise around the Sun. Therefore the spacecraft first has to cancel the 30 km/s of velocity of the Earth's revolution, and then enter a clockwise Hohmann orbit.
Another way is that the spacecraft would just ignore the Earth's spin and just rough it out and enter a counter-clockwise orbit around Earth. This seems unlikely because in reality, it takes about 9.4 km/s of delta-v to enter LEO (counter-clockwise direction) and delta-v and fuel is very precious, especially in interplanetary missions.
A likely possibility is that spacecraft would instead execute their Hohmann injection burn on the day side of Earth. But I'm not sure of all the side effects that would create (perhaps a mini-side question).
Question: If the Earth spun clockwise, how would that affect Mankind's efforts of Space Exploration? What Space Exploration missions would have not been possible if the Earth spun clockwise?