Lunar Calendar Maker
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The Moon goes through a cycle of phases approximately every 29.5 days. The Moon orbits the Earth about every 27.3 days, but the same relative positions of the Moon, Earth, and Sun occur less often. The reason for the discrepancy is that while the Moon orbits the Earth, the Earth is also moving in its orbit around the Sun.
Contributed by: Bruce Atwood (April 2007)
Open content licensed under CC BY-NC-SA
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"Lunar Calendar Maker"
http://demonstrations.wolfram.com/LunarCalendarMaker/
Wolfram Demonstrations Project
Published: April 27 2007