A surprisingly large number of people in the world don’t believe that astronauts have walked on the Moon. They believe the Moon landing to have been a hoax. One argument they use is that if there are astronaut footprints on the Moon, we should be able to see them using a powerful telescope. The fact that we do not, they say, is evidence that they were never there. The Lunar Reconnaissance Orbiter (LRO) is a NASA robotic spacecraft currently orbiting the Moon. The LRO gets as close as 35 km to the Moon’s surface. The diameter of the camera’s primary mirror is 195 mm. If the camera is sensitive to optical light at a wavelength of 600 nm, show that it would not be able to spatially resolve a foot print of physical length 30 cm when it is 35 km above the Moon’s surface. Tip: You’ll need to calculate the angular size of the footprint, as seen from a height of 35 km. θ = S/D, where S is the physical size of the footprint and D = 35 km, is the angular size of the footprint in radians.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A surprisingly large number of people in the world don’t believe that astronauts have
walked on the Moon. They believe the Moon landing to have been a hoax. One argument
they use is that if there are astronaut footprints on the Moon, we should be able to see
them using a powerful telescope. The fact that we do not, they say, is evidence that they
were never there.
The Lunar Reconnaissance Orbiter (LRO) is a NASA robotic spacecraft currently orbiting
the Moon. The LRO gets as close as 35 km to the Moon’s surface. The diameter of
the camera’s primary mirror is 195 mm. If the camera is sensitive to optical light at a
wavelength of 600 nm, show that it would not be able to spatially resolve a foot print of
physical length 30 cm when it is 35 km above the Moon’s surface.
Tip: You’ll need to calculate the angular size of the footprint, as seen from a height of
35 km. θ = S/D, where S is the physical size of the footprint and D = 35 km, is the
angular size of the footprint in radians.

 

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