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RE: The moon over the Gulf of Mexico
That is another mystery. From the time the moon comes into view to the time it is about to leave your view the distance would have changed just a few thousand miles away. If the moon was 238,000 miles away when it comes into view and then 241,000 miles away when leaving your view then how could the size of the moon change so much when the change in distance is around 1%.
The earth's atmosphere acts as a lens and refracts the light when the moon is close to one of the horizons thus it appears bigger. When the moon is more over head there is less atmosphere and appears smaller. Doesn't have much of anything to do with the distance between the earth and the moon which doesn't change all that much.