Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Textbook Question
Chapter 6, Problem 16E
What kind of visible-light and infrared telescopes on the ground are astronomers planning for the future? Why are they building them on the ground and not in space?
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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
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to convert linear size to angular size.)
1. If the cross-track angular resolution of a satellite sensor at nadir is given by 1.4 /D where is the
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ground if D = 80 cm and the satellite sensor is at an orbital height of 600 km?
(a) for an infrared sensor observing wavelengths at 20 microns?
(b) for a microwave sensor observing wavelengths at 1.5 cm?
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What is the resolving power of a 25-cm (10-in.) telescope at a wavelength of 550 nm (in the
middle of the visual band)?
Chapter 6 Solutions
Astronomy
Ch. 6 - What are the three basic components of a modern...Ch. 6 - Name the two spectral windows through which...Ch. 6 - List the largest-aperture single telescope...Ch. 6 - When astronomers discuss the apertures of their...Ch. 6 - The Hooker telescope at Palomar Observatory has a...Ch. 6 - What is meant by “reflecting” and “refracting”...Ch. 6 - Why are the largest visible-light telescopes in...Ch. 6 - Compare the eye, photographic film, and CCDs as...Ch. 6 - What is a charge-coupled device (CCD), and how is...Ch. 6 - Why is it difficult to observe at infrared...
Ch. 6 - Radio and radar observations are often made with...Ch. 6 - Look back at Figure 6.18 of Cygnus A and read its...Ch. 6 - Why do astronomers place telescopes in Earth’s...Ch. 6 - What was the problem with the Hubble Space...Ch. 6 - Describe the techniques radio astronomers use to...Ch. 6 - What kind of visible-light and infrared telescopes...Ch. 6 - Describe one visible-light or infrared telescope...Ch. 6 - What happens to the image produced by a lens if...Ch. 6 - What would be the properties of an ideal...Ch. 6 - Many decades ago, the astronomers on the staff of...Ch. 6 - The largest observatory complex in the world is on...Ch. 6 - Suppose you are looking for sites for a...Ch. 6 - Radio astronomy involves wavelengths much longer...Ch. 6 - The dean of a university located near the ocean...Ch. 6 - What is the area, in square meters, of a 10-m...Ch. 6 - Approximately 9000 stars are visible to the naked...Ch. 6 - Theoretically (that is, if seeing were not an...Ch. 6 - In broad daylight, the size of your pupil is...Ch. 6 - How much more light can be gathered by a telescope...Ch. 6 - How much more light can the Keck telescope (with...Ch. 6 - People are often bothered when they discover that...Ch. 6 - Telescopes can now be operated remotely from a...Ch. 6 - The HST cost about $1.7 billion for construction...Ch. 6 - How much more light can the James Webb Space...Ch. 6 - The Palomar telescope’s 5-m mirror weighs 14.5...
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- H does the resolving power of the 5-rn telescope on Mount Palomar near San Diego compare with that of the 2.5-rn Hubble Space Telescope? Why does the HST generally still outperform the Palomar 5-rn telescope?arrow_forwardThe HST cost about $1.7 billion for construction and $300 million for its shuttle launch, and it costs $250 million per year to operate. If the telescope lasts for 20 years, what is the total cost per year? Per day? If the telescope can be used just 30% of the time for actual observations, what is the cost per hour and per minute for the astronomer’s observing time on this instrument? What is the cost per person in the United States? Was your investment in the Hubble Space telescope worth it?arrow_forwardWhy are the largest visible-light telescopes in the world made with mirrors rather than lenses?arrow_forward
- Many decades ago, the astronomers on the staff of Mount Wilson and Palomar Observatories each received about 60 nights per year for their observing programs. Today, an astronomer feels fortunate to get 10 nights per year on a large telescope. Can you suggest some reasons for this change?arrow_forwardThe large space telescope that has been placed into an Earth orbit has an aperture diameter of 1.4 meters. What angular resolution will this telescope achieve for visible light of wavelength 2 = 6.5 x 10-7 m? Write your answer in "seconds of arc".arrow_forwardA space telescope built to get the smallest resolution for radio wavelengths between 100 and 1000 meters. Discuss the pros and cons of this telescope and location. Consider wavelength region and diameter when talking about smallest angular resolution.arrow_forward
- You have been asked to compare four proposals for telescopes to be placed in orbit above the blurring effects of the earth’s atmosphere. Rank the proposed telescopes in order of their ability to resolve small details, from best to worst. (i) A radio telescope 100 m in diameter observing at a wavelength of 21 cm; (ii) an optical telescope 2.0 m in diameter observing at a wavelength of 500 nm; (iii) an ultraviolet telescope 1.0 m in diameter observing at a wavelength of 100 nm; (iv) an infrared telescope 2.0 m in diameter observing at a wavelength of 10 mm.arrow_forward11:55 phys.libretexts.org Submit Both the Keck Telescope and Hubble Space Telescope (HST) observe visible light. Given a typical visible light wavelength of 500 nm, and the diameters of 10 m for Keck and 2.4 m for Hubble, which telescope do you think would have better angular resolution? Based on the equation for angular resolution, what is the resolution of Keck at 500 nm? Of HST? How can we help VIEW Submit %Darrow_forwardA space-based telescope can achieve a diffraction-limited angular resolution of 0.05" for red light (wavelength 700 nm). What would the resolution of the instrument be in the infrared, at wavelength 3.5 μm.arrow_forward
- Astronauts observing from a space station need a telescope with a resolving power of 0.6 arc second at a wavelength of 530 nm and a magnifying power of 220. Design a telescope to meet their needs.What will its light-gathering power be, compared with a dark-adapted human eye? (Assume that the pupil of your eye can open to a diameter of about 0.8 cm in dark conditions.)(State the necessary primary diameter of the telescope, in m, and the ratio of the focal lengths below.)arrow_forwardThe telescope of a spy satellite is reputed to be able to resolve objects 9 cm apart from an altitude of 180 km above the surface of Earth. 1) What is the diameter, in meters, of the telescope’s aperture, if its resolution is limited only by diffraction effects? Take 550 nm for the wavelength of light.arrow_forwardHow does the resolving power of the Mount Palomar 5-m telescope compare with that of the 2.4-m Hubble Space Telescope? Why does HST generally still outperform the ground based 5-m telescope?arrow_forward
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