UNDERSTANDING THE UNIVERSE(LL)-W/CODE
3rd Edition
ISBN: 9780393869903
Author: PALEN
Publisher: NORTON
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Chapter 4, Problem 39QAP
To determine
The light-gathering power of telescope compared with that of the dark-adapted human eye.
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The large space telescope that has been placed into an Earth orbit has an aperture diameter of 1.4
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A new optical imaging satellite is being designed for the Maritime Domain Awareness mission. The satellite will be placed in a circular orbit at 5000 km altitude and be able to look off of nadir, giving a maximum range to the target of 7000 km. The desired resolution is 3 meters. What is the satellite's speed? Express answer in km/s to two significant digits.
The 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.
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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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- The angular resolution of a radio telescope is to be 0.100 when the incident waves have a wavelength of 3.00 mm. What minimum diameter is required for the telescopes receiving dish?arrow_forwardCalculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelength 500 nm coming from a star.. (a) 610 x 10⁹ rad -9 (b) 305 x 10⁹ rad ma (c) 457.5 x 109 rad (d) 152.5 x 10⁹ radarrow_forwardA certain telescope has a 10' × 10' field of view that is re- corded using a CCD chip having 2048 x 2048 pixels. What angle on the sky corresponds to 1 pixel? What would be the di- ameter of a typical seeing disk (1" radius), in pixels?arrow_forward
- A 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_forwardA new optical imaging satellite is being designed for the Maritime Domain Awareness mission. The satellite will be placed in a circular orbit at 5000 km altitude and be able to look off of nadir, giving a maximum range to the target of 7000 km. The desired resolution is 3 meters. Assuming the sensor will operate in the SWIR (λ = 1.5 μm), estimate the required diameter of the primary aperture to achieve the desired resolution at the maximum range. Report answer in meters to two significant digits. The required aperture diameter is _____ meters.arrow_forwardA diffraction-limited telescope with a 7.6 cm aperture is aimed at target 12.5 km away. Assuming light of 590 nm wavelength and neglecting air turbulence, what size details can be resolved by the telescope?arrow_forward
- What is the limit of resolution for a telescope lens with a diameter of 120 cm when it observes a star at a distance of 4 light-years? Use the wavelength of l = 550 nm in your calculations.arrow_forwardNeeds Complete typed solution with 100 %. Accuracy.arrow_forwardCompare the angular resolving power of the following imaging instruments (details of the italicized instruments are to be covered later). Take the wavelength of light as 5 × 10-7 m. (a) the eye with an effective aperture of 0.5 cm (b) a pair of binoculars using a typical aperture of the front lenses (c) the Yerkes Observatory optical telescope, with a diameter of roughly 1.0 m (d) the Manchester radiotelescope, with a diameter of 76.2 m, using microwave radiation of wavelength 22 cm Oarrow_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 Atacama Large Millimeter/SubmillimeterArray (ALMA) is designed to operate over the wavelength range λ= 0.3→9.6mm. It will consist of 80 independent 12m telescopes with a maximum baseline of 18km. How large would a single-dish antenna have to be to have the same collecting area as ALMA?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. (State the necessary primary diameter of the telescope, in m, and the ratio of the focal lengths below.) 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_forward
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