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Large lunar halos are called "moondogs". They form when there are Cirrus clouds high overhead - ice crystals in the clouds always reflect light at the same angle, so light spreading out from the moon is reflected back to your eye from the same angular distance 360-degrees around the Moon - instant Halo!

They are precisely 22.5 degrees in radius, I believe. It all has to do with the internal angles on water ice crystals.

If we saw this on Mars where the ice crystals in the sky are CO2, we would have a different size halo!

Dan

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