Relativity fail. You talk about relative to earth, but it's actually relative to you that's important, there is no absolute reference frame. You move in XYZ direction D distance without moving through the intervening space. All calculations are done as if you are motionless and therefor no momentum. <br><br>The pole to equator problem is solved since relative to you the earth is rotating around you while you spin, if you could see from the north pole to equador it would appear motionless to you while stuff in space like stars and planets would appear to be moving in the background. If you teleport there the stuff in space is still moving at the exact same speed it was, while you are still unmoving. This is why stuff on earth doesn't fall towards the equator (like things moving outwards on a spinning disc) but rather fall directly towards the center of the planet. <br><br>The coriolis effect only matters when the time of departure is different to the time of arrival because the object you are shooting at has moved, but since you're moving instantaneously it doesn't apply. From your point of view the Earth and everything on it remains essentially motionless. <br><br>Now ask me how I know you're an atheist.