Six Millennium Catalog of Phases of the Moon

Moon Phases from -1999 to +4000 (2000 BCE to 4000 CE)
Fred Espenak

The tables available though the links below give the date and time (Universal Time) of all phases of the Moon for the six thousand year period -1999 to +4000 (2000 BCE to 4000 CE). This data is provided primarily to assist in historical research projects. For the year 2000, the length of the mean synodic month (New Moon to New Moon) is 29.530588 days (=29d12h44m03s). However, the length of any one synodic month can vary from 29.26 to 29.80 days due to the perturbing effects of the Sun's gravity on the Moon's eccentric orbit.

Each one hundred-year phase table also indicates when an eclipse of the Sun or Moon takes place. An eclipse of the Sun can occur only at New Moon, while an eclipse of the Moon can occur only at Full Moon.

Historians should note that the astronomical dating system used in these tables includes the year "0" while the traditional BCE - CE dating convention does not. Thus, the year "0" here corresponds to "1 BCE", the year "-100" is "101 BCE", and so on. The old style Julian calendar is used for dates prior to 1582, while the modern Gregorian calendar is used after that date. For more information, see calendar dates

The last column of the phase table lists ΔT, the value used to convert Dynamical Time to Universal Time. The uncertainty in the value of ΔT grows large for dates in the distant past or future.

Moon Phases in Common Era (CE)
Links to
Century
Tables
0001 - 0100 0101 - 0200 0201 - 0300 0301 - 0400 0401 - 0500
0501 - 0600 0601 - 0700 0701 - 0800 0801 - 0900 0901 - 1000
1001 - 1100 1101 - 1200 1201 - 1300 1301 - 1400 1401 - 1500
1501 - 1600 1601 - 1700 1701 - 1800 1801 - 1900 1901 - 2000
2001 - 2100 2101 - 2200 2201 - 2300 2301 - 2400 2401 - 2500
2501 - 2600 2601 - 2700 2701 - 2800 2801 - 2900 2901 - 3000
3001 - 3100 3101 - 3200 3201 - 3300 3301 - 3400 3401 - 3500
3501 - 3600 3601 - 3700 3701 - 3800 3801 - 3900 3901 - 4000
Moon Phases Before Common Era (BCE)
Links to
Century
Tables
-1999 - -1900 -1899 - -1800 -1799 - -1700 -1699 - -1600 -1599 - -1500
-1499 - -1400 -1399 - -1300 -1299 - -1200 -1199 - -1100 -1099 - -1000
-0999 - -0900 -0899 - -0800 -0799 - -0700 -0699 - -0600 -0599 - -0500
-0499 - -0400 -0399 - -0300 -0299 - -0200 -0199 - -0100 -0099 - 0000

Algorithms used in predicting the phases of the Moon as well as eclipses are based on Jean Meeus' Astronomical Algorithms (Willmann-Bell, Inc., Richmond, 1998). All calculations are by Fred Espenak, and he assumes full responsibility for their accuracy.

Permission is freely granted to reproduce this data when accompanied by an acknowledgment:

"Meoon Phas Predictions by Fred Espenak, NASA/GSFC"

For more information, see: NASA Copyright Information

2012 Jan 11