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Here's a photo of the 2004 blue moon, probably made with a blue filter. This year Photoshop programs will probably be going crazy.
Be careful. This is what happens from too much exposure to the blue moon.
(The Blue Man Group)
One moon that is really shows some blue is one of the Saturn moon of Titan. Scientists believe a band of hazy blue layers near the south pole of the only moon in our solar system that contains an atmosphere.