Name: ____________________________________ Period: _______ Date: _________________________ Class Model of the Solar System Lab /35 Introduction It is easy to flip to the index of an astronomy textbook to discover that, say, the Sun lies 150 million kilometers away from Earth. It is far more difficult (if not impossible), however, to picture this distance in the human mind. In this exercise, we will learn to access the often unpalatable distances encountered in astronomy by simply scaling the huge distances to more recognizable, pedestrian numbers. So long as every distance within the system of interest is scaled by the same factor, we retain meaningful information about relative distances between objects. This is exactly the same principle employed by map makers so that they can fit Texas, for example, onto a turnable page. Pre Lab Questions 1. What is an AU? How is it measured? 2. How can making a scale model of something really large help you understand distances better? 3. What is the difference between a radius and a diameter? Table 1 gives current measurements for the actual sizes and orbital distances (distance from the sun to the planet) of the planets. For moons, distance is measured in Km and needs to be converted to AU. 1 AU in KM = 149,598,000 kilometers Table 1: Measured Astronomical Distances in Solar System (*KBO radii are not well known) Object Radius (km) in scientific notation Sun Radius (km) in expanded form Distance from the sun in AU Distance from the planet in Km 6.96 x 10^5 -- -- Mercury 2.44 x 10^3 0.39 AU Venus 6.05 x 10^3 0.723 AU Earth 6.38 x 10^3 1 AU Moon 1.74 X 10^3 Mars 3.40 X 10^3 1.524 AU Jupiter 7.14 X 10^4 5.203 AU Io 1.82 X 10^3 384,400 km= ______________ AU 421,700 km= ______________ AU Ganymede 2.63 x 10^3 1,070,000km=_____________ AU Saturn 6.03 x 10^4 Titan 2.58 x 10^3 Uranus 2.56 x 10^4 19.18 AU Neptune 2.43 x 10^4 30.06 AU Pluto 1.16 x 10^3 39.53 AU Charon 6.35 x 10^2 9.539 AU 1,220,000km=_____________ AU 196,000km= ______________ AU Creating a Scale As you can see, even when expressed in one of the largest units (km) used to describe Earthbound distances, the sizes of and distances to the planets require numbers raised to large powers of ten. In order to fully appreciate the relative sizes and distances within the solar system, it is necessary to scale these numbers down to values small enough so that we can "see" them in terms of more familiar distances. We can accomplish this by dividing every number in Table 1 by some constant scale value. Our sun's real radius is ____________km and the small sun I am creating for you has a radius of _______cm. To calculate the constant for how many km 1 cm will represent in our model we can set up some ratios and cross multiply. ______________________ = ______________________ So that… 1 cm = ____________________ km make conversions. this will be the constant you can use in teh following equations to Project Instructions As a class, we will be creating a scale model of the solar system. Each pair of students or individual students will do the following calculations and then focus on a specific planet (and its moons if applicable). As a pair, you will create your planet to scale according to your calculations and create a bright paper-sized “poster” to educate other students about your planet. They will go up in the hallway at the correct distance apart from each other to provide a scale model of the solar system. Use the scale factors to calculate the size of your object and the distance of the object from the Sun (round two decimal digits). Fill in these values in table 2. - The formula for the scale size planet: radius of planet (km) / constant (km) = the number of cm your planet's radius should be. This will also work for moon sizes. The formula for distance from the sun to the planet: 1 AU = 1 Meter Table 2 Object Radius to scale (cm) Distance to the sun (m) Sun 109 cm --- Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto Moons Moon Io Ganymede Titan Charon On your “posters” you should include: All of this needs to be easy to read and understand as well as colorful and fun to look at. ○ The name of your planet (assigned ○ Actual measurements (distance to on board)) sun, and moons’ distances to ○ Scale “planet” showing the size of planet) your planet according to our scale ○ Length of a day ○ Any moons ○ Length of a year ○ Three other facts you would like to share about your plant Individual Post-lab questions. These are to be done on your own and in complete sentences. 1. Look at all the pictures of the planets, and at table 2. Are all the pictures the right size? 2. Can you tell the difference between Jupiter and Neptune from the pictures? How about Neptune and Uranus? Can you tell the difference between Earth and Mars? Explain your answers. 3. How does the spacing of the Kuiper Belt Objects (Pluto and Charon) compare to the spacing of the Jovian planets and Terrestrial planets? 4. Of the planets who had moons listed, which one has the farthest moon from the planet? Which one is the closest? Is there a big difference between terrestrial and jovian? 5. Who was your partner? Did they assist with the project, or only write things down if you did? Were they willing to assist with the poster? What was their biggest contribution to the project? What was your biggest contribution? 6. How did this activity help you gain a better understanding of the size of our solar system? Rubric Calculations - conversions and calculations are all correct ______/ 10 Planet & “poster” - colorful, correctly sized, and informative ______/ 15 Post-lab questions - answered correctly in complete sentences ______/ 5 Participation - worked during class time and rated highly by partner ______/ 5 Total ______/ 35