The Moon has a tail made up of sodium atoms very thinly dispersed throughout the small Moon exosphere. Moons atmosphere, called exosphere, is so rare that when it is full Moon and it is between us and the Sun, its atmosphere gets pushed around towards the Earth. This way we will be able to reside inside Moon’s tail.
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Also, without the Moon we would have a day that would be only 6-8 hours and the axial tilt would be much greater: