Example 1
- Date: 1990-05-15
Aquarius (Air)
L ≈ 303.8° → the integer part of (303.8/30)=10 → Aquarius.
Pick a date. The calculator computes the Moon’s mean ecliptic longitude at UTC noon and splits it into 12 signs of 30°. 15 May 1990 is about 303.8° and Aquarius. 1 January 2000, near the J2000 epoch, is Scorpio. A sketch, not a full sky position.
A mean-longitude sketch, not a reading. Phase: moon phase. Sun: zodiac sign. Article: Moon sign.
Pick a date to see the approximate Moon sign.
A tropical Moon sign is the sign the Moon sits in. A full result needs an ephemeris. Here you only get mean longitude: days d from J2000.0 (UTC noon on 1 January 2000), then L ≈ 218.3164477 + 13.17639648 × d. Sign = the integer part of ((L mod 360) / 30), Aries through Pisces.
15 May 1990: L ≈ 303.8°, index 10, Aquarius and Air. 1 January 2000: L ≈ 218.3°, Scorpio. 8 August 1988: L ≈ 85°, Gemini. 7 July 1977: L ≈ 0.6°, Aries. 13 April 2013 about 57°, Taurus. 16 June 1994 about 176°, Virgo.
This is mean longitude, not the equation of the center, nodes, or parallax. On a sign boundary the result can disagree with an ephemeris by a full sign. It is not a scientific forecast and not a timed birth chart.
Do not mix it with moon phase (disc lighting) or the Sun sign (day and month). The element beside the result is the sign’s element, as on the zodiac-element page. The model uses UTC noon, with no time zone and no longitude.
One field: date as YYYY-MM-DD. Click Calculate. Mean motion in this sketch is about 13° per day, so the next day shifts L by that constant.
Treat the result as an ecliptic 12×30° exercise. Do not read it as a fortune, a personality grade, or a day’s instructions.
d = JD(UTC noon of date) - 2451545.0
L = 218.3164477 + 13.17639648 × d (degrees; then L mod 360)
index = the integer part of (L / 30) mod 12 → Aries...Pisces
Educational approximation. Not a lunar ephemeris.
15 May 1990 gives L ≈ 303.8° and Aquarius. Mean longitude at noon UTC, not an ephemeris and not a science forecast.
Aquarius (Air)
L ≈ 303.8° → the integer part of (303.8/30)=10 → Aquarius.
Scorpio (Water)
L ≈ 218.3° → Scorpio (near the J2000 epoch).
Gemini (Air)
L ≈ 85° → Gemini.
Aries (Fire)
L ≈ 0.6° → Aries.
Taurus (Earth)
L ≈ 57° → Taurus.
Virgo (Earth)
L ≈ 176.1° → Virgo.
Aquarius and Air. L ≈ 303.8°, the integer part of (303.8/30) = 10 counting from Aries.
Scorpio. L ≈ 218.3°, near the J2000.0 epoch the formula starts from.
No. It is mean longitude without corrections. On a boundary an ephemeris can show another sign.
Not in this calculator. We take UTC noon on the chosen date. A birth-chart Moon needs an exact time.
Phase is how much of the disc is lit in the synodic cycle. Here the sign comes from ecliptic longitude.
The Sun sign uses day and month. This Moon-sign sketch uses L and moves about every two and a half days.
1988-08-08: L ≈ 85°, Gemini. 1977-07-07: L ≈ 0.6°, Aries.
The constant 13.17639648° is mean motion in this model. Not a full orbit with accelerations.
No. UTC noon, no geographic longitude. Fine for a class exercise; not for a chart.
No. Without a date there is no L. Pick a day on the calendar.
The phase in this calculator follows the Moon cycle. NASA describes the same cycle; a horoscope is not in the formula.
Page updated in 2026.