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Moon's age and phase calculation

As we already have a Sun calculator - Sunrise and sunset calculator I thought about the one for the Moon.

And what's the first thing that comes to mind about the Moon - it has phases. And also during the Full moon werewolf turns into wolf. So let's find moonphases.
It appears that many moon calculators on the internet uses the algorithm by Stephen R. Schmitt. It's described here.

The idea is simple(that's why it's mostly used I guess). Given date converts into Julian Day and then the number of days is substituted from the magic Julian date 2451550.1.
It's 14:24 6 January 2000 and I suspect this is a day of a new moon cycle on the moment of algorithm development.
The aquired differnce of days is divided by the length of a moon month - 29.530588853 and the remainder of the division allows to define age of the moon and so the phase.

The interesting thing is that we have only 4 moon positions - new moon, first quarter, full moon and third quarter. In English sources there are names for the thing between,

The gap between the new moon and the first quarter is called Waxing Crescent.
The gap between the first quarter and the full moon is called Waxing Gibbous.
The gap between the full moon and the third quarter is called Waning Gibbous.
The gap between the third quarter and the new moon called Waning Crescent.

Enter the date, the calculations are made from 00:00 Greenwich Time

PLANETCALC, Moonphases


Digits after the decimal point: 2
Moon's age (days)
Moon's age (percentage of full moon)

Creative Commons Attribution/Share-Alike License 3.0 (Unported) PLANETCALC, Moonphases