UNDERSTANDING THE UNIVERSE(LL)-W/CODE
3rd Edition
ISBN: 9780393869903
Author: PALEN
Publisher: NORTON
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Chapter 4, Problem 18QAP
To determine
The effect that illustrates the angular resolution of a ground-based telescope.
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4. For a space-based imaging system that uses a fixed size aperture for both visible and infrared sensors, given the characteristics listed, what would be the theoretical resolution for each of the sensors? Aperture diameter = 1.1 m. Visible wavelength = 0.5 micron. IR wavelength = 2.0 micron. Altitude = 400 km. (note: 1 micron = 1E-6 m)
Chapter 4 Solutions
UNDERSTANDING THE UNIVERSE(LL)-W/CODE
Ch. 4.1 - Prob. 4.1CYUCh. 4.2 - Prob. 4.2CYUCh. 4.3 - Prob. 4.3CYUCh. 4 - Prob. 1QAPCh. 4 - Prob. 2QAPCh. 4 - Prob. 3QAPCh. 4 - Prob. 4QAPCh. 4 - Prob. 5QAPCh. 4 - Prob. 6QAPCh. 4 - Prob. 7QAP
Ch. 4 - Prob. 8QAPCh. 4 - Prob. 9QAPCh. 4 - Prob. 10QAPCh. 4 - Prob. 11QAPCh. 4 - Prob. 12QAPCh. 4 - Prob. 13QAPCh. 4 - Prob. 14QAPCh. 4 - Prob. 15QAPCh. 4 - Prob. 16QAPCh. 4 - Prob. 17QAPCh. 4 - Prob. 18QAPCh. 4 - Prob. 19QAPCh. 4 - Prob. 20QAPCh. 4 - Prob. 21QAPCh. 4 - Prob. 22QAPCh. 4 - Prob. 23QAPCh. 4 - Prob. 24QAPCh. 4 - Prob. 25QAPCh. 4 - Prob. 26QAPCh. 4 - Prob. 27QAPCh. 4 - Prob. 28QAPCh. 4 - Prob. 29QAPCh. 4 - Prob. 30QAPCh. 4 - Prob. 31QAPCh. 4 - Prob. 32QAPCh. 4 - Prob. 33QAPCh. 4 - Prob. 34QAPCh. 4 - Prob. 35QAPCh. 4 - Prob. 36QAPCh. 4 - Prob. 37QAPCh. 4 - Prob. 38QAPCh. 4 - Prob. 39QAPCh. 4 - Prob. 40QAPCh. 4 - Prob. 41QAPCh. 4 - Prob. 42QAPCh. 4 - Prob. 43QAPCh. 4 - Prob. 44QAPCh. 4 - Prob. 45QAP
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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.)arrow_forwardwhat advantages does a catadioptric telescope have over a reflecting telescope? what is its disadvantages?arrow_forwardAstronauts 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_forward
- The 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_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_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
- Needs Complete typed solution with 100 %. Accuracy.arrow_forward1. If the cross-track angular resolution of a satellite sensor at nadir is given by 1.4 /D where is the wavelength being observed and D is the aperture size of the sensor, what is the cross-track spatial resolution on the 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? =arrow_forwardYou 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_forward
- Astronauts observing from a space station need a telescope with a resolving power of 0.9 arc seconds at a wavelength of 540 nm and a magnifying power of 260. Design a telescope to meet their needs. (State the necessary primary diameter of the telescope, in m, and the ratio of the focal lengths below. Also, 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.)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_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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