Observation and Data Collection: Star Counting
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- Elfreda Henderson
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1 Observation and Data Collection: Star Counting Investigation: Do people everywhere see the same number of stars in the night sky? Why or why not? How many stars can you see on a clear night where you live? Do you think students in different parts of the world would see a different number of stars? Why would there be a difference? It is impossible to count every star in the night sky. The method you will use will allow you to get very close to the actual number. This method is like those used in surveys. Imagine that you want to find out how many of the students in your school would support a longer school day. It would be very difficult to ask every student in a large school. Your friends' opinions probably wouldn't represent all of the students accurately. If you stood at the door of your cafeteria and asked every 20th student, you could probably get an accurate survey. At a very big school, you might choose every 30th student. Each student was chosen at random (by chance) to help your survey represent everyone. To count the stars you will choose 10 parts of the sky at random (by chance) and count the stars. Then you will find the average number of stars counted in each observation. (For example, if you observed zero stars in one count and 100 stars in another count, the average is 50 stars per count.) But, the average number of the stars per count isn't the same as the total number of stars in the sky! Imagine that the average number of stars per count is 50. What fraction of the sky did you observe each time? If you observed 1/10th of the sky each time, then there are about 500 stars (10 times 50). If you observed 1/100th of the sky in each observation, there are about 5,000 stars (100 times 50). The Star Count Data Sheet has a box where you can calculate the total number of stars. The equation uses the average count per observation and the fraction of the sky you can see through your tube. This calculation uses the length and radius of your viewing tube. Why does the fraction of the sky you can see depend on the length and radius of the tube?
2 Can you think of an experiment to prove the amount of sky you can see does depend on length and radius of the tube? Star Count Data Sheet Record the date of observation on the data sheet. For example, September 25, 2006, would be recorded as 09/25/2006. The latitude for Pathfinder is N and the longitude is W. You may enter these numbers on your data sheet as defaults. Elevation: The elevation of the site for Pathfinder is 285 meters. You may use this number on your data sheet. Cloud cover: You will need to estimate this yourself. Round your estimate to whichever of these values is closest: % 25% 50% 75% 100% If the cloud cover is over 75%, you should choose another night to count the stars. Air Quality Index: You may use information from TV news/weather or web sites like AIRNow or Weather Underground G = Good. M = Moderate. USG = Unhealthy for Sensitive Groups. U = Unhealthy. V = Very unhealthy. H = Hazardous Enter that information on your data sheet. Distance from home security lighting and/or streetlights may be estimated. The distance must be recorded in meters.
3 Locate or make your viewing tube: A Star Count viewing tube is needed for this activity. A hollow cylinder about cm (10-14 inches) in length and with a diameter of 4-6 cm ( inches) is recommended. You can use a cardboard tube from an empty roll of paper towels, or you can make your own viewing tube. To make a viewing tube, roll a piece of paper into a tube (with a diameter of 4-6 cm and length of cm). Secure the end of the sheet of paper with tape. Hint: If you find that you are seeing too many stars to count, you can make a longer and thinner tube. Some students have even used soda straws. Measure your Star Count viewing tube with a metric ruler. Measure the length (l) in centimeters. Measure the diameter (d) in centimeters. Calculate the radius (r) by dividing the diameter (d) by 2. Record these values on the Star Count Data Sheet. Important: Allow your eyes to become "dark-adapted." Go outside to the darkest spot you can find and wait for at least 20 minutes before you begin this activity. This waiting time allows your eyes to be at their most sensitive to the faint light of stars. Safety Warning: Do this activity with an adult. Don't go into a dark spot unless you know it is safe. Use a flashlight when walking in the dark, but turn it off when you are counting the stars. To count the stars: 1. Point the Star Count viewing tube at a random (chance) point in the sky. Close one eye. Hold the end of the tube up to your open eye. Count the number of stars that you can see through the tube. If you see no stars through the tube, you must count zero. Don't move the tube to look for stars. (Of course, if you are looking at a house, trees, a hill, cloud or anything but clear sky, you can point the tube in a different direction.) 2. Record the number of stars you counted on your printed copy of the Star Count Data Sheet. Use the line after "Star Count 1" in the Record Observations section.
4 3. Repeat procedures 1 and 2 nine more times, for a total of 10 different counts. Point your viewing tube at a different location in the sky. Make sure that you choose the direction at random (by chance) again. Do not move the tube to see more stars or to select brighter stars. Do not count when looking at anything but clear sky. Record the number of stars you count each time on your data sheet. Use the lines after "Star Count 2" through "Star Count 10." 4. Find the total number of stars you saw. Record this number in the TOTAL blank on the Star Count Data Sheet. 5. Find the average number of stars. Record this number in the AVERAGE blank on the Star Count Data Sheet. Calculate Star Count 1. The Star Count Data Sheet has a box where you may calculate the total number of stars you can see in the sky. 2. The first line has an equation. This equation allows you to turn the average of your 10 random counts into a number that is a very good approximation of the total number of stars you can see. 3. The third line repeats the equation with empty lines for l, r and AVERAGE. Write in the values of the viewing tube length (l), tube radius (r), and the AVERAGE of all 10 Star Count observations into the correct boxes of the equation. 4. Solve the equation with your values of l, r and AVERAGE. This number is the Star Count number for your Star Count site on the date you performed your observations. Be sure to double-check your math for errors. Return your data sheets to math class on Wednesday each week. Your data will then be entered on the Star Count web site for students everywhere to use. We will compare our data with theirs. If results differ, we ll look at the data and figure out some possible explanations. The Star Count web site is located at: dex.html
5 Remember, you must submit at least one completed Star Count Data Sheet (signed by a parent or guardian) each Wednesday from October 4, 2006 to November 15, 2006.
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