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Earth and Space - Moon Phases

Grade 3IB

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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The Moon does not produce its own light; it reflects light from the Sun (LsunL_{sun}).

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The Moon orbits the Earth in a circular path, completing one full revolution in approximately 29.529.5 days.

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The different shapes of the Moon we see from Earth are called 'Phases'. These phases depend on the relative positions of the Sun, Earth, and Moon.

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There are 88 primary phases in the lunar cycle: New Moon, Waxing Crescent, First Quarter, Waxing Gibbous, Full Moon, Waning Gibbous, Third Quarter, and Waning Crescent.

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Waxing means the illuminated (lit) portion is increasing, while Waning means the illuminated portion is decreasing.

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The New Moon occurs when the Moon is located between the Earth and the Sun, resulting in 0%0\% visibility of the lit side from Earth.

📐Formulae

Tcycle≈29.5 daysT_{cycle} \approx 29.5 \text{ days}

Duration of half a cycle=Tcycle2≈14.75 days\text{Duration of half a cycle} = \frac{T_{cycle}}{2} \approx 14.75 \text{ days}

Illumination at Full Moon=100%\text{Illumination at Full Moon} = 100\%

💡Examples

Problem 1:

If a Full Moon is observed on the 1st1^{st} of the month, approximately when will the next New Moon occur?

Solution:

Around the 15th15^{th} or 16th16^{th} of the month.

Explanation:

The time between a Full Moon and a New Moon is half of a lunar cycle. Since a full cycle is ≈29.5\approx 29.5 days, half a cycle is 29.52≈14.75\frac{29.5}{2} \approx 14.75 days.

Problem 2:

A student observes that the Moon is getting 'bigger' (more lit up) every night. Is the Moon 'Waxing' or 'Waning'?

Solution:

The Moon is Waxing.

Explanation:

In astronomy, 'Waxing' refers to the period where the visible surface of the Moon increases from 0%0\% (New Moon) to 100%100\% (Full Moon).

Problem 3:

How many main phases are counted in one complete lunar orbit?

Solution:

88 phases.

Explanation:

The cycle is divided into 88 distinct stages based on the amount of sunlight reflected toward Earth: New Moon, Waxing Crescent, 1st1^{st} Quarter, Waxing Gibbous, Full Moon, Waning Gibbous, 3rd3^{rd} Quarter, and Waning Crescent.