Scale Modeling Space: From the Earth to the Moon To study space, is to grapple with questions as old as humanity. Understanding how the complex mechanisms of the universe work gives us a greater appreciation for its graceful and poetic beauty. The practical reasons for studying space are much more down to Earth. Daily weather forecasts, instantaneous worldwide communication, and a constant ability to record high-resolution images of vital regions are all examples of space technology that we've come to take for granted. (Jerry Jon Sellers) This project is designed to help develop the understanding of space by taking abstract concepts and making them more concrete through researching, modeling, and problem solving the many different structural aspects of space, space travel, and satellites. Learning Targets: I can create and label a large scale model of the Earth: including the core, mantle, and crust and Space including: Low Earth Orbit (LEO), Middle Earth Orbit (MEO), geosynchronous orbit (GEO) and the Moon. I can use the internet to research the altitude range(s) of the atmosphere: troposphere, stratosphere, mesosphere, thermosphere, and exosphere and the different types of satellite orbits and the distance to the Moon. I can calculate the scale distances of these orbits and regions of the atmosphere and then place them onto the large scale model. I can calculate the scale distance above the surface of the Earth for select satellites and place them onto the large scale model. Large Scale Prediction Activity: As a group you will make predictions on the location of layers of the atmosphere, satellite orbits, and select satellites. Get a post-it-note from the instructor with a label. Go into the hallway with a long strip of paper. Notice, at one end of the paper there is a semi-circle. This semi-circle represents half of the Earth. Work as a large cooperative group to place your predictions of where the labels on your post it notes belong on the paper. Introduction to Satellites and Space Systems Page 1 Scale Modeling Space: From the Earth to the Moon Making the Scale Model Procedure: Research and Calculations 1. Use the internet to research and record: the radius of the Earth, 𝑟𝐸 (km) ________________ the radius of the Moon, 𝑟𝑚 (km) ________________ the distance, d (km) from the center of the Earth to the center of the Moon ____________. Label 𝑟𝐸 , 𝑟𝑚 , 𝑎𝑛𝑑 𝑑 on the diagram below. NOTE: the distance IS NOT to scale. 2. You are given a 650 centimeter long sheet of paper. You are to use a scale distance of 600 centimeters to model the center of the Earth to the center of the Moon. Calculate the scale factor for this activity: 𝐴𝑐𝑡𝑢𝑎𝑙 𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 (𝑘𝑚) = 𝑆𝑐𝑎𝑙𝑒 (𝑐𝑚) 3. For your scale model: How many kilometers does 1 centimeter represent? ____________ 4. Use the internet to research and record the data to complete the Actual column in the table below. 5. Use the scale factor above to calculate the scale distance for each of the regions in the tables below. Example: Determine the scale height of the troposphere. To determine the scale distance of the upper boundary of the Troposphere: 𝐴𝑐𝑡𝑢𝑎𝑙 ℎ𝑒𝑖𝑔ℎ𝑡(𝑘𝑚) × 1 𝑐𝑚 1 𝑐𝑚 = 137.1𝑘𝑚 𝐴𝑐𝑡𝑢𝑎𝑙 ℎ𝑒𝑖𝑔ℎ𝑡(𝑘𝑚) × 137.1𝑘𝑚 = 𝑐𝑚 20 𝑘𝑚 × (Note: km/km = 1) 1 𝑐𝑚 = .145 𝑐𝑚 = 1.45 𝑚𝑚 137.1𝑘𝑚 Introduction to Satellites and Space Systems Page 2 Scale Modeling Space: From the Earth to the Moon So, in our model, the Troposphere would extend 1.45 mm above the surface of the Earth Earth Interior Data Region Actual Scale Distance from center of Distance from center of Earth (kilometers) Earth (centimeters) Inner Core Outer Core Mantle Crust Earth Exterior: Atmosphere Data Region Actual Distance range from surface of Earth (kilometers) Ex: Troposphere Scale Distance range from surface of Earth (centimeters) Stratosphere Mesosphere Thermosphere Exosphere Perform any necessary calculations here: Introduction to Satellites and Space Systems Page 3 Scale Modeling Space: From the Earth to the Moon Research and record the altitude of a geosynchronous satellite. __________ km In the space below, draw a picture of a GEO satellite orbiting the Earth. Label the Earth’s radius with rE and the satellites height above the surface of the Earth with h. (Think: before you draw – calculate how many earth radii are there between the surface of the Earth and GEO) Orbit and Satellite Data Orbit/Satellite Actual Distance from the surface of the Earth (km) Use ranges for orbits LEO Scale Distance from the surface of the Earth (cm) Use ranges for orbits ISS Hubble Space Telescope (HST) MEO GEO TelStar 5 6. Use the white roll out paper provided and the information in your tables to construct a large scale model of the Earth and the space around Earth out to the moon. You can be as creative as you wish. There are supplies provided in the room. – Scissors, markers, colored paper, rulers, compass etc… 7. REFLECTION: Explain how the group prediction compares to your calculated model. Are you surprised? Explain. _____________________________________________________________________________ _____________________________________________________________________________ Introduction to Satellites and Space Systems Page 4