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The Moon Phase Calculator determines the lunar phase for any calendar date — showing the phase name (New Moon, Waxing Crescent, First Quarter, Waxing Gibbous, Full Moon, Waning Gibbous, Last Quarter, or Waning Crescent), the illumination percentage, days since the last new moon, and days until the next full moon. Based on the Moon's synodic period of 29.53 days, this calculator provides accurate phase information for any date from 1900 to 2100.
The Moon's phases are caused by the changing angle between the Moon, Earth, and Sun as the Moon orbits Earth. When the Moon is between Earth and Sun (new moon), we see the unlit side — nearly 0% illumination. Two weeks later, when Earth is between Moon and Sun (full moon), we see the fully lit side — 100% illumination. The eight named phases mark specific points and ranges in this 29.53-day cycle.
The synodic period (month) of 29.53058867 days is the time for the Moon to return to the same phase as seen from Earth. This differs from the sidereal period (27.32 days, one orbit relative to the stars) because Earth itself is also orbiting the Sun — by the time the Moon completes one orbit, Earth has moved, and the Moon must travel farther to re-align with the Sun.
Moon phases have influenced human culture, agriculture, religious calendars, and navigation for millennia. Islamic and Hebrew calendars are lunar or lunisolar. Farmers traditionally planted by moon phases. Ocean tides are strongest at new and full moons (spring tides) and weakest at quarter moons (neap tides). Emergency room and law enforcement anecdote frequently connects full moons with increased activity, though scientific studies on this 'lunar effect' are inconclusive.
This calculator uses the Julian Day Number system and a known new moon reference date (January 6, 2000 — Julian Day 2451549.5) to compute the age of the current lunar cycle for any input date. The result is an approximation accurate to within about 1 day; precise astronomical ephemerides account for orbital eccentricities, perturbations from other planets, and the Moon's non-circular orbit.
The calculator converts the input date to Julian Day Number (JD). Days since the reference new moon (JD 2451549.5, January 6, 2000) are divided by the synodic period (29.53058867 days) and the remainder gives the lunar age. Phase angle = (lunar_age / synodic_period) x 360 degrees. Illumination = 50 x (1 - cos(phase_angle)), ranging from 0% (new) to 100% (full). Phase names correspond to ranges of lunar age.
Illumination near 0% indicates new moon. Near 50% indicates quarter phases. Near 100% indicates full moon. 'Days Since New Moon' tells you how far into the current lunar cycle you are — useful for planning moon-dependent activities. 'Days to Full Moon' helps you plan for bright moonlit nights or low-light stargazing windows.
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Mid-March 2026 shows a waxing gibbous moon about 71% illuminated, approaching full moon in ~1.6 days
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Phase names shift at specific day thresholds; actual full moon may be 1-2 days earlier depending on precise orbital calculation
New Moon, Waxing Crescent, First Quarter, Waxing Gibbous, Full Moon, Waning Gibbous, Last Quarter, Waning Crescent. 'Waxing' means growing (increasing illumination); 'Waning' means shrinking. 'Gibbous' means more than half illuminated.
The synodic period — from new moon to new moon — is 29.53058867 days, approximately 29.5 days or about 4 weeks. This is why a lunar month is nearly the same as a calendar month ('month' derives from 'moon').
Moon phases result from the changing geometry between the Moon, Earth, and Sun. As the Moon orbits Earth, we see different portions of its sunlit half. The Moon itself does not change — only our viewing angle changes.
This calculator is accurate to approximately ±1 day. It uses a simplified synodic period model from a known reference new moon. Precise astronomical calculations account for the Moon's elliptical orbit, solar perturbations, and other factors. For exact new/full moon times to the minute, consult the US Naval Observatory or JPL ephemerides.
Spring tides (strongest tides, largest tidal range) occur at new and full moons when the Sun, Moon, and Earth align. Neap tides (weakest) occur at quarter moons when the Sun and Moon are at right angles to Earth. The lunar cycle thus has a strong 29.5-day signal in tidal patterns.
A supermoon occurs when a full moon coincides with the Moon's closest approach to Earth (perigee), making it appear up to 14% larger and 30% brighter than an average full moon. Supermoons occur because the Moon's orbit is elliptical, not circular.
The most common modern definition: the second full moon in a calendar month. Since the lunar cycle is ~29.5 days and most months are 30-31 days, this happens about every 2.5 years. Hence the expression 'once in a blue moon' for something rare.
Some research suggests a modest correlation between the full moon and slightly reduced sleep duration (3-4 minutes less on average). The mechanism is unclear but may involve moonlight exposure or evolutionary responses. The effect size is small and not universally replicated.
A lunar calendar tracks time based on lunar cycles rather than solar years. The Islamic Hijri calendar is purely lunar (12 months of 29-30 days = 354-day year). The Hebrew and Chinese calendars are lunisolar, adding an extra month periodically to stay aligned with seasons.
Enter today's date and check the 'Days to Full Moon' output. A full moon occurs every 29.5 days; if the current phase shows 0-7 days to full, you will see a full moon very soon. Check a precise astronomical calendar for exact times.
Roboculator Team
The Roboculator Team explains calculations, planning tools, and practical formulas in clear language for real-life situations.
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