Moon Phase Calculator: Illumination & Age for Any Date

Moon Phase Calculator

Find the Moon's phase, illuminated fraction, moon age in days, and the dates of the next new, first quarter, full, and last quarter Moon for any date using the synodic lunar cycle of 29.53 days.

🌙Quick Date Presets

📅Date & Options

Any date from year 1 onward works; math uses UTC noon.

Flips which side of the disc appears lit.

Adds this many days to the target date.

🌑 Phase preview
Moon phase New Moon named from moon age
Illumination 0% fraction of disc lit
Moon age 0.0 d days since last new moon
Next full moon – projected principal phase

🔱Cycle Snapshot

29.53Synodic days
8Named phases
50%Quarter lit
2000Epoch new moon

🗓Upcoming Principal Phases

Principal PhaseProjected DateDays AwayIllumination
Pick a date above to project the next four principal phases.

🌓The Eight Principal Phases

PhaseSymbolMoon AgeIlluminationMeaning
New Moon🌑0.0 days0%Dark disc, Moon between Earth and Sun
Waxing Crescent🌒1.8 to 5.5 days1% to 49%Sliver growing after new moon
First Quarter🌓~7.4 days50%Right half lit, quarter of the cycle
Waxing Gibbous🌔9.2 to 13.0 days51% to 99%More than half and still growing
Full Moon🌕~14.8 days100%Whole disc lit, Earth between Sun and Moon
Waning Gibbous🌖16.6 to 20.3 days99% to 51%Past full and shrinking
Last Quarter🌗~22.1 days50%Left half lit, three quarters through
Waning Crescent🌘23.9 to 27.7 days49% to 1%Thin sliver fading toward new moon

📊Illumination Reference Grid

Moon AgePhase FractionCosine TermIlluminationPhase
0.00 days0.0001.0000%New Moon
3.69 days0.1250.70715%Waxing Crescent
7.38 days0.2500.00050%First Quarter
11.07 days0.375-0.70785%Waxing Gibbous
14.77 days0.500-1.000100%Full Moon
18.46 days0.625-0.70785%Waning Gibbous
22.15 days0.7500.00050%Last Quarter
25.84 days0.8750.70715%Waning Crescent
29.53 days1.0001.0000%New Moon

⚙Full Formula Breakdown

Julian DayThe target date is converted to a Julian Day number (JD), a continuous day count astronomers use across any calendar date.
Reference new moonA known new moon anchors the cycle: 2000-01-06 18:14 UTC, or JD 2451550.1. All ages are measured from this epoch.
Days since epochdaysSinceRef = JD – 2451550.1. This can be negative for dates before the year 2000, which the calculator handles.
Moon agemoonAge = daysSinceRef mod 29.530588853. If the result is negative, add 29.53 so age stays between 0 and one synodic month.
Phase fractionphaseFraction = moonAge / 29.530588853. Here 0 is new, 0.25 first quarter, 0.5 full, and 0.75 last quarter.
Illuminationillum = (1 – cos(2 × π × phaseFraction)) / 2 × 100, giving the percent of the visible disc that is sunlit.
Next phasesEach principal phase date is the epoch plus a whole or quarter number of synodic months, taking the first that falls after the target date.

📋Lunar Cycle Reference

TermValueWhat It MeansNote
Synodic month29.53 daysNew moon to new moonPhase cycle used here
Sidereal month27.32 daysOrbit vs the starsShorter than synodic
Waxing half0 to 14.77 daysNew up to full moonLit part is growing
Waning half14.77 to 29.53 daysFull down to new moonLit part is shrinking
Quarter step7.38 daysOne quarter of the cycle50% lit at quarters
Blue moon~2.7 yearsSecond full moon in a monthExtra full moon

💡How To Read The Moon

Waxing vs waning: When the lit edge is on the right in the Northern hemisphere, the Moon is waxing and growing toward full. A lit left edge means it is waning toward the next new moon.
Age and illumination: Moon age is a clock in days, while illumination is the percent of disc lit. Both zero at new moon; illumination peaks at 100% near age 14.77 days when age is only halfway.

The moon changes shape every night
 Rapidly, on a schedule most of us are unaware of, except that we think: “Oh, I saw that moon last night, a sliver, and now it’s a sliver again.” It won’t be a sliver again for several nights; the moon races through its roughly 30-day complete cycle from new to waxing crescent to first quarter to gibbous to full to waning gibbous to third quarter and back to the new moon again. Fast! This moon makes it confusing to time anything, from when to photograph it at night to when to plant seeds.

If you choose a date, the calculator up there will do work for you; you don’t have to try to guess at what stage cycle is on. It uses the synodic month (the conventional way of measuring how long it takes the Moon to change phases), which is about twenty-nine point five days. Why does this matter? That’s not a clean twenty-eight, nor is it a nice round thirty. If you go by ballpark figures, the numbers aren’t precise enough to keep your prediction accurate without some leeway. If you’re serious about following the Moon, you want precision.

How to Use the Moon Phase Calculator

The calculator tell you exactly how many days old the Moon is, in days since previous new moon. And note: a Moon can be very young and therefore lit only faintly even as it grows rapidy. Knowing the difference help you see sky properly. How illuminated is it? That’s what the Illumination percent figure indicates; when does the sun shine on what fraction of disk? Half the disk are lit at first quarter but remember: the Moon itself is still a quarter of distance into its cycle at that point. The calculator spells that out for you by showing actual amount and the phase name.

This phase name often surprises beginners because they expect to see a number instead. Knowing that the Moon is 70% illuminated may be just enough contrast to see stars at night if you’re planning an observing session. You can set your rounding preferences in case you want precise numbers for some historical or scientific purpose.

Depending on which hemisphere you select, you’ll get a different view onscreen. A waxing Moon will light up from the left if you’re in Southern Hemisphere, but from the right if you’re in Northern. That’s a small detail, just a flip in shape due to your position relative of Earth and the Sun. But it makes all the difference: When staring down at an app (or even a paper star chart) meant for another latitude, it can keep you from mistakenly identifying the Moon. For those of us in South America and Australia, and anyone else who travels with such tools, there’s a lot of confusion that most generic tools miss.

You can use future phases table to see what is coming up. It helps you schedule your photo shoots by the full moon or know which times of year to expect bright nights so you can avoid viewing faint galaxies. It also takes into account a typical orbital period for its calculations; that works well enough for most purposes except that Moon doesn’t quite obey this model perfectly, having a slight variation in its “speed” at apogee and perigee due to elliptical orbit variations and tidal effects. But usually we don’t notice that much if we’re casual observers.

The stability of these cycles span centuries; historical dates help put them in context. With a click, you’ll find the Moon’s phase on important occasions, such as ancient festivals or a space landing. Orbital mechanics doesn’t change over long time scales, so the math goes both ways: backwards as well as forwards. It’s this predictability that has made the lunar calendar the guide to religion and agriculture for thousands of years.

Don’t assume: A new moon is totally dark, or a full moon will always be bright and full. It’s all relative. Full moons aren’t all equal; they are different sizes because of how far away they are from Earth. Even during a new moon, you might see it as a tiny sliver of a crescent just minutes after sundown if the angle is favorable. The calculator doesn’t display apparent size, but it provides timing accuracy sufficient to match up with other information.

In the end, however, when it comes to knowing the Moon’s phase, it’s all about getting into a rhythm, not remembering names. The sky ticks on a billion-year-old clock; let’s learn how to tell time in night sky. Whatever your nighttime activity. Whether astrophotography or old-fashioned, traditional gardening, the act of syncing up to the lunar calendar give your evenings a sense of purpose.

The Moon doesn’t shift her schedule for us; we must catch up to her. You should of checked sooner.

Moon Phase Calculator: Illumination & Age for Any Date