Making a Scale Model of the Solar System Using Google Earth
Imagine that you could travel far into space and look back at the Solar
System. You would see the planets moving in their orbits, at different distances from the Sun. All of the planets move in the same direction, revolving counterclockwise around the Sun. Are some planets too small to be seen from space? A scale model may help you to visualize the relative size of the planets and their relative distance from the Sun.
Calculating the Scale Diameter of the Sun and Planets
If the Earth were as big as a softball, then the Sun would be how big? The actual diameter of the Sun is approximately 110 times larger than the
Earth's diameter. A softball is approximately 10 cm in diameter; calculate how big the Sun would be in an accurately-scaled model of the Solar
System. Express your answer in centimeters (cm). Record the scale model size of the Sun in the data table at the end of this investigation (under Scale
Diameter). [Note: You may be able to better visualize the scale model size of the Sun if you convert its Scale Diameter from centimeters (cm) to meters (m).]
Solution:
110
x 10 cm
----
1,100 cm
Convert centimeters (cm) to meters (m) by using the following list of metric units to count the number of units change, then move the decimal point
(in the same direction in which you were counting) one place for each unit of change.
(largest) km hm dam m dm cm mm (smallest)
2--1--0
<------
Moving the decimal point 2 places to the left, 1,100 cm = 11 m
(approximately 36 feet). Record the Scale Diameter of the Sun in the data table at the end of this investigation.
Use the same process to calculate the Scale Diameter of the other eight planets. Express your answers in centimeters (cm). In the data table, the
Actual Diameter of the Sun and planets is expressed in "Earth units"
(multiples or fractions of the Earth's diameter). For example, the diameter of
Jupiter is 11.2 times larger than the Earth's diameter.
Calculating the Scale Distance Between the Sun and Planets
In this scale model, all distances are compared to the average Earth-Sun distance, which is one unit. This unit is called an astronomical unit (1 a.u.). An a.u. is approximately 10,000 times larger than the Earth's diameter. In our scale model, how far is one a.u.?
Solution:
10,000
x 10 cm
-------
100,000 cm
Convert cm to km by using the following list of metric units to count the
number of units change, then move the decimal point (in the same
direction in which you were counting) one place for each unit of change.
(largest) km hm dam m dm cm mm (smallest)
5--4--3--2--1--0
<---------------
Moving the decimal point five (5) places to the left, 100,000 cm = 1 km.
Record the scale model size of an a.u. in the data table at the end of this investigation (under Scale Distance to Earth).
In the data table, the Actual Distance between the Sun and planets is expressed in a.u.'s (multiples or fractions of the average Earth-Sun distance). Use the scale model size of an a.u. to calculate the Scale
Distance between the Sun and the other eight planets (including the dwarf planet Pluto). Convert your answers from centimeters (cm) to kilometers
(km). Record your answers in the following data table.
Scale: 1 a.u. = _____
Sun and
Planets
Actual
Diameter
(e.u.)
Scale
Diameter
(cm)
Actual
Distance
(a.u.)
Scale
Distance
(cm)
Scale
Distance
(km)
Sun
Mercury
Venus
Earth
Mars
Asteroids
Jupiter
Saturn
110
0.4
1.0
1.0
0.5
<0.07
11.2
9.5
10
--
0.4
0.7
1.0
1.5
2.8
5.2
9.5
Uranus
Neptune
Pluto
Nearest
Star
4.0
3.9
0.2?
100
19.2
30.1
39.5
270,000
For Further Thought
1.
An accurately-scaled model of the Solar System should use the same scale for both size and distance. Does this model use one- or two scales for size and distance?
2.
The distance between the Earth and the Moon is approximately 1/500
(.002) of an a.u. Use the scale model size of an a.u. (1 a.u. = 1 km) to calculate the Scale Distance to the Moon. Express your answer in
meters (m).
3.
At a distance of 4.4 light-years away, Proxima Centauri is the star nearest to the Sun. If the Scale Distance to the nearest star is
270,000 km, and the actual circumference of the Earth is approximately 40,000 km, then how many times would you have to go around the Earth to "travel to" Proxima Centauri?
Activity Extension
Use a map of Fairfax County, VA [Google Earth] to plot the Scale Distance between the Sun and the nine planets in our Solar System. Arbitrarily plot a point on the map to show the Sun's location (for example, the location of your school). Measuring from the Sun's location on the map, use the Scale
Distance (in the Solar System model) and the scale of the map to plot the location of the nine planets. You may want to use washable marking pens to mark the location of the Sun and planets on a laminated map. Alternately, use push-pins to "flag" the location of the Sun and planets on the map.
Construct a physical model of the Solar System. Get started by visiting the
Exploratorium Build a Solar System Web site. Be sure to select a "body diameter" for the Sun that will result in a model that is practical to construct!