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Week 07 Β· How Far: Distances

Monday

How far is far?
// Walking the solar system one step at a time
⏱ about 20 min

Monday: How Far Is Far?

Rocket stands at the Sky Deck corner with a ball under his arm. "If this is the Sun, where do I put Earth?"

"Guess first," Raven says. Rocket takes three big steps and sets down a pebble. "There."

"And Neptune?" Rocket walks to the far fence, about ten steps, and sets down another pebble. "There. Way out."

Raven checks the NASA fact sheet. "What do you notice? Neptune is about thirty times farther than Earth."

Rocket looks at his pebbles. "Thirty times three steps is ninety steps. That is past the fence. Past the street!"

Nova hovers over the Earth pebble. "Your Sun ball is fine," she says. "Your steps are the problem. Pick a better scale."

Rocket, Raven and Nova at the Sky Deck in a corner of the yard. Rocket holds a ball for the Sun and looks back at two pebbles set on the grass. Raven holds a printed table. Nova the companion drone hovers above with her light on the farther pebble.

Distances too big to picture

For six weeks you have modeled the Sun, Earth and the Moon with a lamp and a ball. This week you ask how far apart they really are.

NASA says the Sun is about 150 million kilometers from Earth. That number is too big to picture, so astronomers gave it a name.

The average Earth to Sun distance is called one astronomical unit, or one AU. NASA says this unit gives an easy way to compare the planets' distances.

OpenStax Astronomy adds a comparison. The Sun is about 400 times as far from us as the Moon.

Why a scale matters

A scale is a rule for shrinking distances so a model fits where you are. Every distance shrinks by the same rule.

Rocket's mistake was using three steps for Earth. With Neptune about 30 times farther, his model needed 90 steps.

With one step for Earth, Neptune needs about 30 steps. That fits a yard or a long hallway.

The Next Generation Science Standards say that phenomena too large to see can be studied with models at various scales. This week you build one.

DistanceIn kilometersIn astronomical units
Earth to the Moonabout 384,000a small fraction of one
Earth to the Sunabout 150 million1
Sun to Neptuneabout 4515 millionabout 30
DISTANCE WORDS
  • Read the question.
  • Tap your answer.
What is one astronomical unit?
About how many times farther from us is the Sun than the Moon?
If Earth is one step from the Sun, about how many steps is Neptune?
StatementTrue or false?
One AU is about 150 million kilometers.?
A scale shrinks every distance by the same rule.?
Neptune is about three times farther from the Sun than Earth.?
The Moon is farther from Earth than the Sun is.?
WHY THIS EXERCISEThe standard asks you to analyze scale properties of objects in the solar system, and distance comes first.
About how many million kilometers is one astronomical unit? Type the number.
WHY THIS EXERCISEEvery distance this week is compared with this one.
Try it
Take one normal step and mark where your heel lands. That is your Earth distance. Now count 30 of them in a straight line.
Did you run out of room? Write where you would need to walk to fit all 30 steps.
For a grown-up
This week your student walks out a scale model of the planets' distances in a hallway or yard, away from roads.
The facts this week come from the NASA Planetary Fact Sheet at nssdc.gsfc.nasa.gov, NASA at science.nasa.gov and OpenStax Astronomy at openstax.org.
Try this
Find the longest straight path in your home or yard. Count how many of your steps it holds.
Write whether 30 steps would fit, and what you could use instead of a step if not.
Draw a line across your page. Put the Sun at one end. Mark Earth one small unit away and Neptune 30 of those units away. Label both.

Good start. Tomorrow you meet the fastest traveler there is, and find out that sunlight is always old news.