AstronomyBeginner2D simulation~12 min

Phases of the Moon

Night after night the Moon changes shape — a thin crescent, a half disc, a bright full moon — and then back again. The Moon itself never changes; what changes is our point of view. Move the Moon around its orbit and see the geometry behind every phase.

New moon Drag the Moon around its orbit
0

Angle between the Moon and the Sun as seen from Earth (0° = new moon, 180° = full moon).

3

Days of the lunar month shown per second when playing.

Observer’s hemisphere
Phase
New moon
Lit portion we see
—
Day of lunar cycle
—
Waxing or waning
—
Rises around
—
Best seen
—

How to use this simulator

  1. The left side shows the Sun, Earth and Moon from above the North Pole. The right side shows the Moon as you see it from Earth.
  2. Drag the Moon around its orbit, use the slider, or press a phase button. Press Start to run through a whole month.
  3. Notice that the Moon in the left view is always half lit — only the right-hand view changes.
  4. Read the phase, lit portion, moonrise time and best viewing time below.
  5. Switch to the Southern Hemisphere and turn on Earth’s shadow to test common ideas. Reset returns to new moon.

Why the Moon has phases

The Moon does not make its own light. It shines because it reflects sunlight, and at every moment the Sun lights exactly half of it — the half facing the Sun. As the Moon travels around Earth, the angle between the Sun, Earth and Moon changes, so we see different amounts of that sunlit half. When the lit half faces away from us we see almost nothing; when it faces us, we see a full disc.

The cycle of phases

PhaseAngle from the SunWhat we see
New moon0°Dark side faces Earth; not visible
Waxing crescent0–90°A thin, growing sliver
First quarter90°Half of the disc lit
Waxing gibbous90–180°More than half, still growing
Full moon180°Entire disc lit
Waning gibbous180–270°More than half, shrinking
Third (last) quarter270°The other half of the disc lit
Waning crescent270–360°A thin, shrinking sliver

Waxing means growing and waning means shrinking. Gibbous means more than half. The full cycle, called the synodic month, takes about 29.5 days.

When the Moon rises

Because Earth spins once a day, the Moon rises and sets just like the Sun. Its position relative to the Sun decides when: a new moon rises with the Sun at dawn, a first-quarter moon rises around noon, a full moon rises at sunset and stays up all night, and a third-quarter moon rises around midnight. On average the Moon rises about 50 minutes later each day.

North vs. south

Observers in the Southern Hemisphere see the Moon “upside down” compared with those in the north, so the lit side is mirrored: a waxing crescent is lit on the left. Near the equator, crescents can appear lying on their backs, like a smile. The phase itself — how much is lit — is the same everywhere on Earth at the same moment.

Phases are not eclipses

Earth’s shadow does not cause the phases. Turn on Earth’s shadow in the simulator: it points directly away from the Sun, so it can only touch the Moon at full moon. Even then, the Moon’s orbit is tilted about 5° to Earth’s orbit, so it usually passes above or below the shadow. When the alignment is just right, we get alunar eclipse. Similarly, a solar eclipse can only happen at new moon.

Formulas

If θ is the angle between the Moon and the Sun as seen from Earth (0° at new moon):

Fraction of disc lit k = (1 − cos θ) / 2Day of the cycle ≈ (θ / 360°) × 29.53 days

Key terms

Synodic month
The time from one new moon to the next, about 29.53 days.
Sidereal month
The time for the Moon to orbit once relative to the stars, about 27.3 days. It is shorter because Earth also moves around the Sun.
Terminator
The line between the lit and dark parts of the Moon.
Synchronous rotation
The Moon spins once per orbit, so the same face always points toward Earth.

Real-world connections

  • Calendars: many calendars, including the Islamic, Hebrew and Chinese calendars, are based fully or partly on lunar phases.
  • Tides: the strongest (spring) tides occur near new and full moon, when the Sun and Moon pull in line.
  • Astronomy and photography: astronomers schedule deep-sky observing around new moon, when the sky is darkest.
  • Wildlife: some animals time behaviour to the lunar cycle — many corals spawn on nights linked to the full moon.

Common misconceptions

  • “Earth’s shadow causes the phases.” Phases come from viewing angle; Earth’s shadow only causes eclipses.
  • “The Moon is only visible at night.” It is often visible in daylight, especially around the quarter phases.
  • “There is a permanent dark side of the Moon.” There is a far side we never see, but it gets as much sunlight as the near side — it is fully lit at new moon.

Key takeaways

  • Half of the Moon is always lit by the Sun; phases show how much of that half faces us.
  • The cycle takes about 29.5 days: new → first quarter → full → third quarter → new.
  • The phase determines when the Moon rises and when it is best seen.
  • Eclipses are rare because the Moon’s orbit is tilted, not because shadows cause phases.

Model note: the diagram is not to scale. The real Moon is about 30 Earth diameters away, and the Sun is about 400 times farther still.

Knowledge check

Phases of the Moon: test your understanding

Answer each question to get instant feedback and an explanation. Use the simulator to check your thinking.

7 questions3 basic2 intermediate2 advanced

0 of 7 answered

  1. Q1BasicWhat causes the phases of the Moon?
    Show answer

    Answer: C. Seeing different amounts of the Moon’s sunlit half as it orbits Earth

    The Sun always lights half of the Moon. As the Moon orbits, we look at that lit half from different angles, so we see more or less of it. Earth’s shadow only matters during a lunar eclipse.

  2. Q2BasicDuring a new moon, where is the Moon?
    Show answer

    Answer: B. Roughly between Earth and the Sun

    At new moon the Moon is on the Sun’s side of Earth, so its lit half faces away from us. It is also lost in the Sun’s glare.

  3. Q3BasicAbout how long does it take to go from one full moon to the next?
    Show answer

    Answer: C. About 29.5 days

    The synodic month — the full cycle of phases — lasts about 29.5 days. That is why calendar months are roughly 30 days long.

  4. Q4IntermediateIn the Northern Hemisphere, a waxing crescent moon is lit on which side?
    Show answer

    Answer: B. The right

    Waxing phases are lit on the right as seen from the Northern Hemisphere. Switch the simulator to the Southern Hemisphere to see the view flip.

  5. Q5IntermediateAt what time of day does a full moon rise?
    Show answer

    Answer: C. Around sunset

    A full moon is opposite the Sun in the sky, so it rises as the Sun sets and sets as the Sun rises — it is visible all night.

  6. Q6AdvancedAt first quarter, roughly how much of the Moon’s whole surface is lit by the Sun?
    Show answer

    Answer: B. One half

    The Sun always lights half of the Moon’s surface. “First quarter” refers to the Moon being a quarter of the way through its orbit — from Earth we see half of the disc lit.

  7. Q7AdvancedIf the full moon is behind Earth every month, why isn’t there a lunar eclipse every month?
    Show answer

    Answer: B. The Moon’s orbit is tilted by about 5°, so it usually passes above or below Earth’s shadow

    The Moon’s orbit is tilted about 5° relative to Earth’s orbit. Most months the full moon passes just above or below Earth’s shadow. An eclipse only happens when a full moon occurs near one of the two points where the orbits cross.

References and further reading

  1. Fraknoi, A., Morrison, D., & Wolff, S. C. (2022). Astronomy 2e, Section 4.5: Phases and Motions of the Moon. OpenStax. openstax.org (opens in a new tab)
  2. Fraknoi, A., Morrison, D., & Wolff, S. C. (2022). Astronomy 2e, Section 4.7: Eclipses of the Sun and Moon. OpenStax. openstax.org (opens in a new tab)
  3. NASA Science. Moon Phases. science.nasa.gov (opens in a new tab)

This simulator is a simplified educational model. Found an error? Let us know. See our educational disclaimer.