What you'll learn
This lesson takes you from our own sky out to the edge of the observable universe:
- the solar system: the Sun, planets, moons, asteroids and comets, and the gravity that holds them in orbit;
- the Earth–Moon–Sun system: day and year, seasons, Moon phases, eclipses and tides;
- stars: how they make energy, and how their life cycle depends on mass;
- galaxies and the Big Bang: evidence that the universe is expanding and about 13.8 billion years old;
- the age of Earth (about 4.6 billion years) and radiometric dating with half-lives.
How it shows up on the GED: expect planet tables, orbit diagrams, tide or daylight data, decay curves and short readings. You may click an orbit position, order a star's life stages, calculate an age from half-lives, or pick the evidence that supports an idea.
Key terms
- rotation / revolution — spinning on an axis (one day) / traveling around the Sun (one year).
- axis tilt — Earth's axis leans about 23.5°, which causes the seasons.
- light-year — the distance light travels in one year, about 9.5 trillion km (a distance, not a time).
- phase — the shape of the lit part of the Moon we see (new, crescent, quarter, gibbous, full).
- solar eclipse / lunar eclipse — the Moon blocks the Sun (at new moon) / Earth's shadow covers the Moon (at full moon).
- spring tide / neap tide — extra-large tidal range when Sun, Earth and Moon are lined up / small range at the quarter moons.
- nuclear fusion — joining light nuclei (hydrogen) into heavier ones (helium), releasing energy; it powers stars.
- main sequence — the long, stable stage when a star fuses hydrogen in its core.
- supernova — the explosion of a very massive star.
- galaxy — a huge system of stars, gas and dust held by gravity (the Milky Way).
- redshift — stretching of light from an object moving away, toward longer (redder) wavelengths.
- Big Bang theory — the universe began about 13.8 billion years ago in a hot, dense state and has been expanding ever since.
- half-life — the time for half of a radioactive sample to decay (carbon-14: 5,730 years).
The solar system
The solar system formed about 4.6 billion years ago from a spinning cloud of gas and dust (a nebula). Most of the material collapsed into the Sun, which holds more than 99% of the system's mass. Gravity keeps the planets in nearly circular orbits. The closer a planet is to the Sun, the faster it moves and the shorter its year.
| Group | Planets | Features |
|---|---|---|
| Inner (rocky, terrestrial) | Mercury, Venus, Earth, Mars | Small, dense, solid surfaces, few or no moons |
| Outer (giants) | Jupiter, Saturn (gas giants); Uranus, Neptune (ice giants) | Huge, mostly gas, rings, many moons |
Also: dwarf planets (Pluto), the asteroid belt between Mars and Jupiter, and icy comets.
Patterns to know: farther planets have longer orbital periods and are generally colder. Venus is the exception for temperature: its thick carbon dioxide atmosphere traps heat (a runaway greenhouse effect), making it the hottest planet even though Mercury is closer to the Sun. Earth is the only planet known to have liquid water on its surface and life.
Earth, Moon and Sun: seasons, phases, eclipses and tides
Day and year. Rotation (24 hours) gives day and night; revolution (about 365.25 days) gives the year.
Seasons come from the tilt, not distance. Earth's axis tilts 23.5° and always points the same way in space. When your hemisphere is tilted toward the Sun, the Sun climbs higher, its rays hit more directly, and days are longer, so you have summer. Six months later your hemisphere tilts away, and you have winter. The hemispheres have opposite seasons. Earth is actually closest to the Sun in early January, during northern winter.
Moon phases. The Moon reflects sunlight, and half of it is always lit. Over about 29.5 days we see different amounts of that lit half: new moon (Moon between Earth and Sun, dark) → waxing crescent → first quarter (half lit) → waxing gibbous → full moon (Earth between Sun and Moon) → waning gibbous → third quarter → waning crescent → new. Phases are not caused by Earth's shadow.
Eclipses need an exact line-up. Solar eclipse: Sun–Moon–Earth (only at new moon). Lunar eclipse: Sun–Earth–Moon (only at full moon). The Moon's orbit is tilted about 5°, so most months there is no eclipse.
Tides. The Moon's gravity raises two bulges of ocean water, one facing the Moon and one on the far side, so most coasts get two high and two low tides a day. The Sun adds a smaller pull (less than half the Moon's). At new and full moon the pulls line up → spring tides (biggest range). At the quarter moons they pull at right angles → neap tides (smallest range).
Stars and their life cycle
A star is a huge ball of hot gas, mostly hydrogen and helium. In its core, nuclear fusion joins hydrogen nuclei into helium and releases enormous energy as light and heat. The Sun is an average, middle-aged star about 4.6 billion years old, roughly halfway through its 10-billion-year main-sequence life.
Color shows temperature: blue-white stars are hottest (above 10,000 °C), yellow stars like the Sun are medium (about 5,500 °C at the surface), and red stars are coolest (about 3,000 °C).
Mass decides everything. Massive stars burn their fuel much faster, so they live much shorter lives.
| Stage | Sun-like star (up to about 8 Sun masses) | Massive star (more than about 8 Sun masses) |
|---|---|---|
| Birth | Nebula → protostar | Nebula → protostar |
| Adult | Main sequence (~10 billion years for the Sun) | Main sequence (only millions of years) |
| Old age | Red giant | Red supergiant |
| Death | Planetary nebula + white dwarf | Supernova |
| Remains | White dwarf slowly cools | Neutron star or black hole |
Galaxies and the Big Bang
Stars are grouped into galaxies of billions of stars. The Milky Way is a spiral galaxy about 100,000 light-years across. The Sun sits in one of its arms, and there are hundreds of billions of other galaxies.
Evidence for the Big Bang (an expanding universe that began about 13.8 billion years ago):
- Redshift: light from distant galaxies is shifted toward red, so they are moving away. The farther the galaxy, the faster it moves (Hubble's discovery). Every galaxy sees every other moving away, just like dots on an inflating balloon, so there is no center.
- Cosmic microwave background: faint microwave radiation fills the whole sky. It is the cooled leftover glow of the hot early universe.
- Abundance of light elements: the amounts of hydrogen and helium in the universe match what the theory predicts.
The age of Earth and radiometric dating
Relative dating puts events in order. In undisturbed rock layers, lower layers are older (the law of superposition), and fossils help match layers in different places.
Radiometric (absolute) dating gives an age in years. Radioactive parent isotopes decay into daughter isotopes at a fixed rate, described by the half-life. After each half-life, half of the remaining parent is left: 100% → 50% → 25% → 12.5% → 6.25% …
| Isotope | Half-life | Good for |
|---|---|---|
| Carbon-14 | 5,730 years | Once-living things, up to about 50,000 years |
| Potassium-40 | 1.25 billion years | Volcanic rock |
| Uranium-238 | 4.5 billion years | The oldest rocks and meteorites |
Carbon-14 cannot date dinosaur bones: almost none would be left. Dating meteorites gives Earth's age, about 4.6 billion years. The universe is about three times older, 13.8 billion years.
Half-life formulas
Fraction remaining after n half-lives:
\text{fraction remaining} = \left(\tfrac{1}{2}\right)^{n}Age of a sample:
\text{age} = n \times \text{half-life}where n is the number of half-lives that have passed.
Example: 25% remains → (\tfrac{1}{2})^2 = \tfrac{1}{4}, so n = 2. For potassium-40: 2 \times 1.25 = 2.5 billion years.
The Science test has no formula sheet; questions give the half-life.
Worked example 1: Moon phase reasoning
Stimulus: On March 1 the Moon is new.
Question: About what phase will it be on March 8, and where is it in its orbit?
Think-aloud:
- A full cycle is about 29.5 days, so each quarter of the orbit takes about 29.5 \div 4 \approx 7.4 days.
- Seven days after new moon, the Moon has moved a quarter of the way around Earth.
- A quarter orbit from new moon puts the Moon at a right angle to the Sun–Earth line, and we see half of the lit half: first quarter.
- Trap: a "half moon" is not halfway through the cycle; that is full moon.
Answer: first quarter, a quarter of the way around its orbit.
Worked example 2: Seasons from daylight data
Stimulus: Hours of daylight on June 21.
| City | Latitude | Daylight |
|---|---|---|
| Anchorage, USA | 61° N | about 19.4 h |
| Miami, USA | 26° N | about 13.7 h |
| Buenos Aires, Argentina | 35° S | about 9.8 h |
Question: Which statement is best supported?
Think-aloud:
- Both northern cities have more than 12 hours of daylight, and the farther north city has more. The Northern Hemisphere is tilted toward the Sun.
- Buenos Aires, in the south, has fewer than 12 hours. The Southern Hemisphere is tilted away, so it is winter there.
- Reject "distance from the Sun explains it": all three cities are the same distance from the Sun.
Answer: In June the Northern Hemisphere is tilted toward the Sun (long days) and the Southern Hemisphere is tilted away (short days).
Worked example 3: Star color and temperature
Stimulus:
| Star | Color | Surface temp. (°C) |
|---|---|---|
| Rigel | Blue-white | about 12,000 |
| Sun | Yellow | about 5,500 |
| Betelgeuse | Red | about 3,300 |
Question: A newly observed star appears orange. What is its likely surface temperature?
Think-aloud:
- The table shows a pattern: blue is hottest, then yellow, then red is coolest.
- Orange falls between yellow and red on the color scale.
- So the temperature should fall between about 3,300 °C and 5,500 °C, for example about 4,500 °C.
- Reject values like 11,000 °C, which match blue stars.
Answer: between about 3,300 °C and 5,500 °C.
Worked example 4: Half-life calculation
Stimulus: A radioactive isotope has a half-life of 1,000 years. A sample now has 6.25% of its original amount.
Question: How old is the sample?
Think-aloud:
- Count halvings: 100% → 50% (1) → 25% (2) → 12.5% (3) → 6.25% (4). So 4 half-lives.
- Age = 4 \times 1{,}000 = 4{,}000 years.
- Check: (\tfrac{1}{2})^4 = \tfrac{1}{16} = 0.0625 = 6.25\% ✓
- Trap: dividing 100 by 6.25 gives 16, which is the fraction \tfrac{1}{16}, not the number of half-lives.
Answer: 4,000 years.
Common traps
- Seasons from distance. Wrong: "Summer happens when Earth is closest to the Sun." Right: the 23.5° tilt causes seasons; Earth is closest in January, during northern winter.
- Phases from Earth's shadow. Wrong: "The crescent is Earth's shadow on the Moon." Right: phases come from how much of the Moon's lit half we see. Earth's shadow touches the Moon only in a lunar eclipse.
- Mixing up eclipses. Wrong: "A solar eclipse is at full moon." Right: solar = new moon (Moon blocks Sun); lunar = full moon (Earth's shadow on Moon).
- Bigger stars live longer. Wrong: "More fuel means a longer life." Right: massive stars burn fuel much faster and live only millions of years.
- Dividing instead of halving. Wrong: "25% is left, and 100 ÷ 25 = 4, so 4 half-lives." Right: halve repeatedly: 100 → 50 → 25 is 2 half-lives.
GED strategy for this topic
- Orbit diagrams: find the Sun first. Lit sides face the Sun, and shadows point away from it. Then place Earth and the Moon.
- Two-part answers ("what and why"): many distractors have the right fact with the wrong reason. Check both halves.
- Tables of planets or stars: confirm the column and the units (AU vs. km; million vs. billion years).
- Evidence questions: to disprove a cause, find a case where the cause is present but the effect is opposite (closest to the Sun in winter).
- Half-life items: count halvings on your erasable note board, then multiply by the half-life. Check that the age fits the isotope's range and is less than 4.6 billion years for Earth rocks.
- Big-picture claims: reject conclusions that claim a center, a proof, or a value the data don't show.
Check yourself
The Planets of Our Solar System
Eight planets orbit the Sun. Distances are given in astronomical units (AU): 1 AU is Earth's average distance from the Sun, about 150 million km. A planet's orbital period is the time it takes to travel once around the Sun.
| Planet | Average distance from Sun (AU) | Orbital period (Earth years) | Average temperature (°C) | Type |
|---|---|---|---|---|
| Mercury | 0.39 | 0.24 | 167 | Rocky |
| Venus | 0.72 | 0.62 | 464 | Rocky |
| Earth | 1.00 | 1.00 | 15 | Rocky |
| Mars | 1.52 | 1.88 | −65 | Rocky |
| Jupiter | 5.20 | 11.86 | −110 | Gas giant |
| Saturn | 9.54 | 29.46 | −140 | Gas giant |
| Uranus | 19.19 | 84.0 | −195 | Ice giant |
| Neptune | 30.07 | 164.8 | −200 | Ice giant |
Notes: Mercury has almost no atmosphere. Venus has a very thick atmosphere made mostly of carbon dioxide, a gas that traps heat. Earth's atmosphere is much thinner than Venus's.
According to the table, which planet takes about 12 Earth years to orbit the Sun once?
Hint
Use the "Orbital period" column, not the distance column.
Step-by-step solution
Where the answer comes from: the table's orbital-period column lists Jupiter at 11.86 Earth years.
Step by step:
- Find the column "Orbital period (Earth years)."
- Look for the value closest to 12: Mars 1.88, Jupiter 11.86, Saturn 29.46, Neptune 164.8.
- 11.86 rounds to about 12.
The answer is Jupiter.
Tip: Before answering a table question, point to the exact column the question names. Tables often have several columns of similar-looking numbers.
Check yourself
The Planets of Our Solar System
Eight planets orbit the Sun. Distances are given in astronomical units (AU): 1 AU is Earth's average distance from the Sun, about 150 million km. A planet's orbital period is the time it takes to travel once around the Sun.
| Planet | Average distance from Sun (AU) | Orbital period (Earth years) | Average temperature (°C) | Type |
|---|---|---|---|---|
| Mercury | 0.39 | 0.24 | 167 | Rocky |
| Venus | 0.72 | 0.62 | 464 | Rocky |
| Earth | 1.00 | 1.00 | 15 | Rocky |
| Mars | 1.52 | 1.88 | −65 | Rocky |
| Jupiter | 5.20 | 11.86 | −110 | Gas giant |
| Saturn | 9.54 | 29.46 | −140 | Gas giant |
| Uranus | 19.19 | 84.0 | −195 | Ice giant |
| Neptune | 30.07 | 164.8 | −200 | Ice giant |
Notes: Mercury has almost no atmosphere. Venus has a very thick atmosphere made mostly of carbon dioxide, a gas that traps heat. Earth's atmosphere is much thinner than Venus's.
In general, planets farther from the Sun have lower average temperatures. Which planet does not fit this pattern, and what is the most likely reason?
Hint
Read the temperatures in order of distance. Which planet is hotter than the planet just inside its orbit? Then check the notes under the table.
Step-by-step solution
Where the answer comes from: the table lists Mercury (0.39 AU) at 167 °C and Venus (0.72 AU) at 464 °C. The notes say "Venus has a very thick atmosphere made mostly of carbon dioxide, a gas that traps heat" and "Mercury has almost no atmosphere."
Step by step:
- In order of distance, temperatures are 167, 464, 15, −65, −110, −140, −195, −200.
- Every value falls except one: Venus (464 °C) is hotter than Mercury (167 °C), even though Venus is farther from the Sun.
- The notes give the reason: Venus's thick carbon dioxide atmosphere traps heat (a strong greenhouse effect), and Mercury has almost no atmosphere to hold heat in.
The answer is Venus, because its thick carbon dioxide atmosphere traps heat.
Tip: To find what breaks a pattern, list the data in order and look for the one value that goes the wrong way. Then look in the passage for an explanation.
Summary
- Gravity holds the planets in orbit. Farther planets have longer years and are usually colder (Venus is the greenhouse exception).
- Seasons come from Earth's 23.5° tilt, not its distance from the Sun; the hemispheres have opposite seasons.
- Phases show how much of the Moon's lit half we see. Solar eclipses happen at new moon and lunar eclipses at full moon. Spring tides occur at new and full moon, when the Sun and Moon line up.
- Stars shine by fusion. Mass sets lifetime and fate: Sun-like stars become white dwarfs; massive stars explode as supernovas, leaving neutron stars or black holes.
- Redshift, the cosmic microwave background and light-element amounts support the Big Bang: an expanding universe about 13.8 billion years old.
- Radiometric dating: age = number of half-lives × half-life. Earth is about 4.6 billion years old.