Our moon rises because of Earth's rotation, not the Moon's orbit. A retrograde orbit would actually make things worse, it would rise (slightly) faster in the same direction. To rise backwards a moon would have to have a sub-synchronous prograde orbit. I'm pretty sure Phobos is the only moon in the solar system that does that, and it's absolutely tiny. I'm not an astrophysicist, but I think a large moon couldn't survive that low, unless the planet has a very, very long day (which would make geosynchronous orbit wider). So a backwards moon would look more like a fast moving planet, than our moon AFAIK.



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