Eli5: how do the Moon’s rise and set hours compare to the Sun’s? Is there a logic?

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The Moon doesn’t necessarily rise at sunset and go down at sunrise, sometimes it’s up during the day. So what does it do? Are those times varying depending on it’s phase? Is it random? Are they always the same for a same phase? Do they vary across the year like the Sun’s do?

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Both sun and moon rise in the east and set in the west once per day. This is because they’re both essentially staying still from our point of view as the Earth’s spins around its axis once every day. We obviously also orbit the sun and the moon orbits us but those things take a year and a month compared to a day it takes the Earth to spin around its axis.

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