← Earth Science | ← Astronomy
πŸŒ™

Moon Lab Simulator

Earth & Space Science Interactive Investigation

🌍 πŸ”­
• Period
Shift+1-4 to navigate
πŸ“– Reading: Kepler's Laws & Lunar Gravity
Kepler's Three Laws of Planetary Motion
In the early 1600s, Johannes Kepler used decades of astronomical observations to derive three revolutionary laws describing how celestial bodies move through space.

Kepler's First Law (Law of Ellipses): Every orbiting body travels in an elliptical orbit with the central body at one focus. The Moon's orbit has an eccentricity of 0.055, varying between 356,500 km (perigee) and 406,700 km (apogee).

Kepler's Second Law (Law of Equal Areas): A line connecting the orbiting body to the central body sweeps out equal areas in equal times. At perigee the Moon moves faster; at apogee it moves slower.

Kepler's Third Law (Law of Harmonics): The square of a body's orbital period is proportional to the cube of its average orbital distance: T² ∝ a³. The Moon's period of 27.3 days and distance of 384,400 km satisfy this law.

Lunar Gravity: The Moon's surface gravity is 1.62 m/sΒ², roughly 1/6 of Earth's (9.81 m/sΒ²). A 60 kg person weighs 97 N on the Moon vs 588 N on Earth. Despite this, the Moon's gravity creates tides on Earth.

No Atmosphere: The Moon has no atmosphere, meaning there is no air resistance. On the Moon, a hammer and a feather fall at the same rate β€” as demonstrated during the Apollo 15 mission in 1971.

Synchronous Rotation: The Moon's rotation period equals its orbital period (27.3 days). This is called synchronous rotation, and it means the same side of the Moon always faces Earth.

Supermoon: A supermoon occurs when a full moon coincides with perigee (closest approach). The Moon appears approximately 14% larger and 30% brighter than when it is at apogee.
🧩 Reading Scramble Practice
Unscramble these sentences from the reading. Click words in order to form the correct sentence.
Sentence 1
Sentence 2
πŸ›°οΈ Simulation: Moon's Elliptical Orbit
0.20
3x
Watch how the Moon speeds up near perigee and slows at apogee β€” Kepler's Second Law. Adjust eccentricity to see how orbital shape affects speed.
βš–οΈ Interactive: Gravity Comparison
60 kg
πŸ” Simulation Check Questions 3 PTS TOTAL
Sim Check 1 1 PT
Based on the orbital simulation, when you increase the eccentricity slider, what happens to the difference in the Moon's speed between perigee and apogee?
Sim Check 2 1 PT
Using the gravity tool, set mass to 80 kg. What is the approximate weight of an 80 kg astronaut on the Moon?
Sim Check 3 1 PT
In the orbital simulation, when eccentricity is set to 0.00 (perfect circle), what do you observe about the Moon's speed?
πŸ“Š Lunar Orbital Data
PropertyValueComparison
Average Distance384,400 kmMuch closer than planets to Sun
Perigee (Closest)356,500 kmβ€”
Apogee (Farthest)406,700 kmβ€”
Eccentricity0.055Earth: 0.017 (more circular)
Orbital Period (Sidereal)27.3 daysEarth: 365.25 days
Rotation Period27.3 daysSame as orbital = synchronous rotation
Orbital Velocity (avg)1.022 km/sEarth: 29.78 km/s
Surface Gravity1.62 m/sΒ²Earth: 9.81 m/sΒ²
Mass7.35 Γ— 10Β²Β² kgEarth: 5.97 Γ— 10²⁴ kg
✍️ Hochman Writing: Kepler's Laws
Hochman Sentence 1 β€” Because / But / So
The Moon travels faster at perigee than at apogee because...
Use Kepler's Second Law and angular momentum to explain.
Acceptable Answers Include: "...because Kepler's Second Law states that an orbiting body must sweep equal areas in equal time, so when the Moon is closer to Earth it must move faster to cover the same area as when it is farther away." "...because the gravitational pull from Earth is stronger when the Moon is closer, causing it to accelerate, and angular momentum must be conserved β€” closer distance means higher velocity." "...because at a shorter distance from Earth, gravitational force is greater, pulling the Moon faster along its orbital path according to the law of equal areas."
Hochman Sentence 2 β€” Although / However
Although the Moon's gravity is only 1/6 of Earth's, ...
Explain a significant effect the Moon's gravity still has on Earth.
Acceptable Answers Include: "...it is still strong enough to exert a gravitational pull on Earth's oceans, creating the tidal bulges that produce high and low tides approximately twice each day." "...the Moon's gravitational influence causes ocean tides, gradually slows Earth's rotation over time, and stabilizes the tilt of Earth's axis." "...it still plays a critical role in Earth's ocean tides because gravitational force acts across the vast distance of space between the two bodies."
Hochman Sentence 3 β€” If...Then
If the Moon's orbital eccentricity increased significantly, then...
Think about how this would affect perigee/apogee distances and tidal forces.
Acceptable Answers Include: "...the difference between perigee and apogee distances would become much greater, causing more extreme tidal forces when the Moon is closest and weaker tides when it is farthest away." "...the Moon would swing much closer to Earth at perigee and much farther at apogee, leading to dramatic variations in tidal ranges and the Moon's apparent size in the sky." "...the Moon's orbital speed would vary much more β€” racing through perigee and crawling at apogee β€” and spring tides during perigee would be significantly more powerful."
πŸ”’ Part 1 Checkpoint Quiz
Score at least 4 out of 5 to unlock Part 2: Earth's Tides.
Questions are randomly selected from a question bank. You may retake with new questions.
Quiz Score:
β€” / 5
πŸ“– Reading: Earth's Tides
Understanding Tidal Forces
Tides are the regular rise and fall of ocean waters caused primarily by the gravitational pull of the Moon and, to a lesser extent, the Sun. The Moon creates a tidal bulge on the nearest side and another on the far side due to inertia.

As Earth rotates on its axis, different locations pass through these two tidal bulges, experiencing two high tides and two low tides approximately every 24 hours and 50 minutes. The extra 50 minutes accounts for the Moon's orbital motion β€” each day, the Moon has advanced in its orbit, so Earth must rotate a bit more to "catch up."

Spring Tides occur during new moon and full moon phases when the Sun, Moon, and Earth are aligned (syzygy). The gravitational forces of the Sun and Moon combine, producing higher high tides and lower low tides β€” the greatest tidal range.

Neap Tides occur during first quarter and third quarter moon phases when the Sun and Moon are at right angles (90Β°) relative to Earth. Their gravitational forces partially cancel, producing moderate tides with the smallest tidal range.

The average tidal range in the open ocean is about 0.6 meters, but coastal geography can dramatically amplify tides. The Bay of Fundy in Canada has tidal ranges exceeding 16 meters due to its funnel shape. New York's tidal range averages about 1.4 meters. Gravitational force between any two objects follows Newton's Law: F = Gm₁mβ‚‚/rΒ², meaning tidal strength increases when the Moon is closer to Earth (at perigee).
🧩 Reading Scramble Practice
Unscramble these sentences from the reading. Click words in order to form the correct sentence.
Sentence 1
Sentence 2
🌊 Simulation: Tidal Forces
Spring Tide (New Moon): Sun, Moon, Earth aligned. Combined gravitational pull creates the largest tidal bulges β€” highest highs and lowest lows.
πŸ” Simulator Check Questions 2 PTS TOTAL
Sim Check 1 1 PT
Use the simulation above. Switch between "Spring Tide (New Moon)" and "Neap Tide (1st Quarter)." Which best describes the change you observe in the tidal bulges around Earth?
Sim Check 2 1 PT
In the simulation, click "Spring Tide (Full Moon)." Notice that the Sun is positioned on the opposite side of Earth from the Moon. Despite this, spring tides still occur. Which statement best explains why?
πŸ“ˆ Tide Height Data (24-Hour Cycle)
TimeSpring Tide (m)Neap Tide (m)Tide State
12:00 AM2.11.2High Tide
3:06 AM0.80.7Falling
6:12 AM-0.50.2Low Tide
9:18 AM0.70.6Rising
12:25 PM2.01.1High Tide
3:31 PM0.70.7Falling
6:37 PM-0.40.3Low Tide
9:43 PM0.80.7Rising
11:50 PM2.11.2High Tide
πŸ“Š Graph & Data Analysis 3 PTS TOTAL
Graph Analysis 1 1 PT
Based on the graph and data table, what is the approximate tidal range (difference between highest high tide and lowest low tide) during a spring tide?
Graph Analysis 2 1 PT
According to the graph, the time between the first high tide (12:00 AM) and the second high tide (12:25 PM) is approximately 12 hours and 25 minutes β€” not exactly 12 hours. Which statement best explains this pattern?
Graph Analysis 3 1 PT
Compare the spring tide curve (blue solid line) and neap tide curve (gold dashed line) on the graph. The neap tide values remain much closer to sea level. Based on the reading, which factor best explains this difference?
πŸ”’ Part 2 Checkpoint Quiz
Score at least 4 out of 5 to unlock Part 3: Moon Phases.
Questions are randomly selected from a question bank. You may retake with new questions.
Quiz Score:
β€” / 5
πŸ“– Reading: Moon Phases
The Lunar Cycle
The Moon reflects sunlight. Over 29.5 days (the synodic period), its visible illumination changes, creating phases. The synodic period is longer than the Moon's sidereal period of 27.3 days (one complete orbit relative to the stars) because Earth moves in its own orbit around the Sun, requiring the Moon to travel a bit extra to return to the same Sun-Earth-Moon alignment.

New Moon β†’ Waxing Crescent β†’ First Quarter (right half lit) β†’ Waxing Gibbous β†’ Full Moon β†’ Waning Gibbous β†’ Third Quarter (left half lit) β†’ Waning Crescent β†’ New Moon.

During a new moon, the Moon is positioned between the Sun and Earth, so its unlit side faces us. During a full moon, Earth is between the Sun and Moon, so we see the fully illuminated side.

"Waxing" = increasing illumination. "Waning" = decreasing. "Gibbous" = more than half lit. In the Northern Hemisphere, during waxing phases, the illuminated portion appears first on the right side and grows toward the left. During waning phases, the illumination shrinks from the right side, leaving the left side lit.

The Moon rises approximately 50 minutes later each day because the Moon advances about 13Β° eastward in its orbit daily. Earth must rotate that extra amount to face the Moon again. Phases are caused by the Moon's changing position relative to the Sun and Earth β€” NOT by Earth's shadow (that causes lunar eclipses, which occur during a full moon when Earth's shadow falls on the Moon).

Synchronous Rotation: The Moon's rotation period equals its orbital period (27.3 days), so the same side always faces Earth. Earth experiences approximately 12.4 complete lunar cycles per year (365.25 Γ· 29.5 β‰ˆ 12.4).
🧩 Reading Scramble Practice
Unscramble these sentences from the reading. Click words in order to form the correct sentence.
Sentence 1
Sentence 2
πŸŒ• Interactive: Moon Phase Cycle
Day 0
New Moon
πŸ”¬ Data: Moon Phase Properties
PhaseDayIlluminationRiseSetLit Side
πŸŒ‘ New Moon00%~6 AM~6 PMNone
πŸŒ’ Waxing Crescent~3.71-49%~9 AM~9 PMRight sliver
πŸŒ“ First Quarter~7.450%~12 PM~12 AMRight half
πŸŒ” Waxing Gibbous~11.151-99%~3 PM~3 AMMostly right
πŸŒ• Full Moon~14.8100%~6 PM~6 AMFull face
πŸŒ– Waning Gibbous~18.599-51%~9 PM~9 AMMostly left
πŸŒ— Third Quarter~22.150%~12 AM~12 PMLeft half
🌘 Waning Crescent~25.849-1%~3 AM~3 PMLeft sliver
πŸ”’ Part 3 Checkpoint Quiz
Score at least 8 out of 10 to unlock Part 4: Moon Word Scrambler.
Questions are randomly selected from a question bank. You may retake with new questions.
Quiz Score:
β€” / 10
πŸš€ Mission: Rescue the Astronauts!
Mission Briefing
ALERT: Three astronauts are stranded on the Moon! Restore their guidance computer by unscrambling 7 moon fact statements before the 7-minute oxygen reserve runs out! Sentences start easy and get harder β€” good luck!
07:00
Oxygen Remaining
Sentences Restored: 0 / 7
πŸ§‘β€πŸš€πŸ‘©β€πŸš€πŸ‘¨β€πŸš€
Astronauts awaiting rescue...
πŸ“‹ Final Lab Grade
Part 1 β€” Sim Checks (3 pts)β€” / 3
Part 1 β€” Quiz (5 pts)β€” / 5
Part 2 β€” Sim Checks (2 pts)β€” / 2
Part 2 β€” Graph Analysis (3 pts)β€” / 3
Part 2 β€” Quiz (5 pts)β€” / 5
Part 3 β€” Quiz (10 pts)β€” / 10
Part 4 β€” Word Scramble (7 pts)β€” / 7
TOTAL SCORE
β€” / 35
πŸŽ‰

Mission Complete!

You brought the astronauts home safely!