spy satellite orbiting 410 km above Earth is supposedly capable of counting individual people in a crowd in visual-wavelength images. Assume that the satellite's cameras operate at a wavelength of 550 nm. Assume an average person has a size of 0.6 m as seen from above. Estimate the minimum telescope diameter that the satellite must carry. (Hint: Use The small-angle formula  angular diameter (arc seconds) 2.06  105 =  linear diameter distance to convert linear size to angular size.)

Stars and Galaxies (MindTap Course List)
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ISBN:9781337399944
Author:Michael A. Seeds
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Chapter6: Light And Telescopes
Section: Chapter Questions
Problem 15P
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 spy satellite orbiting 410 km above Earth is supposedly capable of counting individual people in a crowd in visual-wavelength images. Assume that the satellite's cameras operate at a wavelength of 550 nm. Assume an average person has a size of 0.6 m as seen from above. Estimate the minimum telescope diameter that the satellite must carry. (Hint: Use The small-angle formula 
angular diameter (arc seconds)
2.06  105
 = 
linear diameter
distance
 to convert linear size to angular size.)
 
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