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Reference · Astronomy

What is a lunation?

Kevin Blaxton — software builder; astrology student for 40+ years · figures computed by the OrbHeaven engine
Published · Last revised

A lunation is one full cycle of the Moon’s phases — the synodic month, about 29.5 days, from one New Moon to the next. It is driven by the changing angle between the Moon and the Sun as seen from the Earth: as that elongation grows from 0° to 180° and back, the lit fraction of the Moon we see waxes to full and wanes away again.

How to read this article:Established scienceHistorical scholarshipAstrological traditionOrbHeaven computation
Established science

What is a lunation?

It is the synodic month: the time for the Moon to return to the same phase, about 29.53 days. It is longer than the Moon’s orbit around the Earth (27.3 days) because the Earth and Moon are also moving around the Sun, so the Moon must travel a little further each cycle to catch up with the shifted Sun. The word also names a single New or Full Moon within that cycle.

Established science

The cycle of phases

The phase is set by the Sun–Moon elongation. At New Moon the two share a longitude (0°) and the near side is dark; the lit fraction then grows through the waxing crescent and first quarter to Full at 180°, where the whole near side is lit; then it shrinks back through the last quarter and waning crescent to New again. The lit fraction is a simple function of the elongation — one half of one minus its cosine — so the quarters are exactly half lit.

The strip shows the eight principal phases with their illuminated fractions, from New through Full and back.

New Moon0% litWaxing crescent15% litFirst quarter50% litWaxing gibbous85% litFull Moon100% litWaning gibbous85% litLast quarter50% litWaning crescent15% lit
The eight principal phases of a lunation, with the lit fraction of the disc at each. The light grows from New (0% lit) to Full (100%) and shrinks back — the quarters exactly half lit. The fractions match the engine’s own illumination.
OrbHeaven computation

How OrbHeaven finds the New and Full Moon

By searching for the instant the Sun–Moon elongation reaches 0° (New) or 180° (Full). The engine finds, for example, the New Moon of 29 January 2025 and the Full Moon of 13 January 2025 in the same cycle. Those instants are exact; the fuller treatment of each, with the eclipse geometry, is in The New Moon and The Full Moon.

Historical scholarship

A short history

The lunation is the oldest unit of the calendar: the month is the Moon’s cycle, and lunisolar calendars — Babylonian, Hebrew, Chinese and others — count their months from New Moon to New Moon, inserting extra months to keep step with the solar year. The regularity of the synodic cycle made it the first reliable clock beyond the day.

Astrological tradition

What the tradition reads

Interpretation, labelled as such: astrology reads each New Moon as a beginning and each Full Moon as a culmination, and the waxing and waning halves as times for building and for releasing. These readings are a tradition laid on the plain fact of the changing light, and are kept separate from the astronomy of the cycle.

Common misconceptions

Why is a lunation longer than the Moon’s orbit?
The Moon orbits the Earth in about 27.3 days, but in that time the Earth has moved around the Sun, so the Moon needs about 2.2 more days to return to the same phase — giving the 29.5-day synodic month.
Is a lunation the same as a New Moon?
A lunation is the whole cycle of phases, but the word is also used for a single New or Full Moon within it. Both uses are common.

References & further reading

  1. [1] Meeus, J., Astronomical Algorithms, 2nd ed. (Willmann-Bell, 1998) — the synodic month and lunar phases.
  2. [2] Richards, E. G., Mapping Time: The Calendar and Its History — lunisolar calendars built on the lunation.
  3. [3] OrbHeaven engine (astronomy-engine) — the New/Full Moon instants and the phase illumination; re-derived in moon-phases.test.ts and lunation-demo.test.ts.

Suggested citation

Blaxton, K. (2026). What is a lunation. OrbHeaven Reference. https://orbheaven.com/reference/lunations

Revision history

  • First build. New shared moon-phase strip (full cycle; illuminated fractions re-derived and engine-checked in moon-phases.test.ts); synodic vs sidereal month; cross-links The New Moon and The Full Moon; calendar history and tradition kept separate. No photo, no interactive.

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