Moon Phase Calculator

The moon's phase, age and lit fraction for any date, from the standard 29.53059-day cycle — with the approximation labelled, because it is one.

Example — Moon phase on January 21, 2000Full moon — 14.7 days into its cycle, about 100% lit

How we got it — the example, step by step

  1. The moon's cycle (new moon to new moon) is 29.53059 days. Count from a known new moon: 6 January 2000, 18:14 UTC.
  2. Days since then, divided by 29.53059, leaves a remainder of 14.74 days — the moon's age on that date.
  3. The lit fraction follows (1 − cos(2π × age ÷ 29.53059)) ÷ 2 ≈ 100%.

Check it backwards

Half-way through a 29.53-day cycle (day ~14.8) is the full moon by definition of the cycle — and day 14.7 lands on it.

Questions people also ask

How accurate is it?
Good to about a day. The real moon's orbit is elliptical, so exact new and full moments shift by hours either way; for an eclipse or a launch, use an ephemeris, not this page. For 'is it roughly a full moon this weekend', this is the right tool.

Related calculators

Every answer on this page is computed, not typed from memory — the check under each result runs the calculation backwards. Figures are rounded only where the page says so. Last updated: October 13, 2026 · Clirto — every answer free, every step shown.

Made to stay free — built for students, teachers and everyone, not for a paywall »

◆ Clirto=✦ Plain-English Questions+✓ Step-by-Step Working+∞ Free Forever→▥ Instant Answers