The Date of Easter
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The date of Easter is primarily used for liturgical purposes. Up to the eighth century there was no uniform method for determining the date of Easter but the method favoured by the Council of Nicaea in AD 325 gradually became the accepted method. The adoption of the Gregorian calendar necessitated some modifications to this scheme but it is still basically the same.
The simple definition of Easter is that it is the first Sunday after the Full Moon that occurs on or after the vernal equinox. If the full moon falls on a Sunday then Easter is the next Sunday.
Unfortunately this definition is not, strictly speaking, correct. The vernal equinox used is not the true equinox but an artificial one always assumed to be on March 21. The full moon used is not the true full moon but an artificial construct based on the Metonic cycle.
The reasons for this are that the method is then independent of longitude on the Earth and is thus independent of time zone. It also allows the date of Easter to be calculated in advance regardless of the actual motion of the Earth around the Sun.
The method quoted here is valid for the determination of the date of Easter in Western Christian churches; the date used by the Eastern churches can be 1, 4 or 5 weeks later.
The Metonic cycle of 19 years is one in which the phases of the Moon repeat exactly. It is thus possible to have a 19 year cycle for the dates of Full or New Moon. In the Julian calendar this 19-year cycle can be fairly easily translated into a date for Easter via the calculation of two quantities called the Golden Number and the Dominical Letter. These can readily be found from appropriate tables and another table gives the date of Easter.
In the Gregorian calendar the calculation is complicated by the definition of which century years are leap years. These leap years mess up the simple Metonic cycle by altering the number of days in different periods of 19 years. The tabular method uses the Epact instead of the Golden Number.
The Epact is the age of the Moon, diminished by one day, on Jan 1 in the Gregorian ecclesiastical calendar! From the involved rules for constructing the lunar calendar a table may be drawn up to give the Epact, which can vary between 0 and 29.
The Dominical letter in the Gregorian calendar has a cycle of 28 years within each century but the century leap years again throw this into disorder. There is an overall cycle of 400 years over which they repeat.