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A draconic month is shorter than a sidereal month because the nodes move in the opposite direction as the Moon is orbiting the Earth, one revolution in 18.6 years.Therefore, the Moon returns to the same node slightly earlier than it returns to the same star.One of Wikipedia's sister projects, Wiktionary, provides translations of each of the Gregorian/Julian calendar months into a dozen or more languages.Month-by-month links are provided here: January, February, March, April, May, June, July, August, September, October, November, December.
Therefore, the Moon takes a little longer to return to perigee than to return to the same star.
The Hellenic calendars, the Hebrew Lunisolar calendar and the Islamic Lunar calendar started the month with the first appearance of the thin crescent of the new moon.
However, the motion of the Moon in its orbit is very complicated and its period is not constant.
The most common solution to this problem is the Metonic cycle, which takes advantage of the fact that 235 lunations are approximately 19 tropical years (which add up to not quite 6940 days).
However, a Metonic calendar will drift against the seasons by about 1 day every 200 years.
Metonic calendars include the calendar used in the Antikythera Mechanism about 2000 years ago, and the Hebrew calendar.