Treebeard's Stumper 2 October 98

Full Moon Birthday

My birthday is this weekend, close enough to the full Harvest Moon on October 5 (at about 1 p.m.) that I'll pretend that's the day. My question is: How many years will I have to wait for my next full moon birthday? I imagine two wheels starting together, but spinning away at their own rates. I think the important facts are that successive full moons are 29.5306 days apart, and a year is 365.2422 days long. Or is it much more complicated? This is an easy question to ask, but I surely don't know the answer to this one!

Answer

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