The Solar System
10th Edition
ISBN: 9781337672252
Author: The Solar System
Publisher: Cengage
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Chapter 6, Problem 2SP
To determine
The smallest size of image that can resolve by the telescope.
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in the question: A spy satellite orbiting 600 km above Earth is supposedly capable of counting individual people in a crowd in visual- wavelength images. Assume that the middle of the visual wavelength band is at 550 nm . Assume an average person has a size of 0.8 m as seen from above. Estimate the minimum telescope diameter that the satellite must carry.
The previous expert used 1,22 instead of 2.06 to convert to angular distance. I thinkn he has to use the small-angular formula.
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.
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.
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.
Chapter 6 Solutions
The Solar System
Ch. 6 - Prob. 1RQCh. 6 - Prob. 2RQCh. 6 - Prob. 3RQCh. 6 - Prob. 4RQCh. 6 - Does red light have a higher or lower energy than...Ch. 6 - Prob. 6RQCh. 6 - Prob. 7RQCh. 6 - Prob. 8RQCh. 6 - Prob. 9RQCh. 6 - Prob. 10RQ
Ch. 6 - Prob. 11RQCh. 6 - Prob. 12RQCh. 6 - Prob. 13RQCh. 6 - Prob. 14RQCh. 6 - Prob. 15RQCh. 6 - Prob. 16RQCh. 6 - Prob. 17RQCh. 6 - Prob. 18RQCh. 6 - Prob. 19RQCh. 6 - Prob. 20RQCh. 6 - Prob. 21RQCh. 6 - Prob. 22RQCh. 6 - Prob. 23RQCh. 6 - Prob. 24RQCh. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - What is the frequency and wavelength of an FM...Ch. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 1SPCh. 6 - Prob. 2SPCh. 6 - Prob. 2LLCh. 6 - Prob. 3LLCh. 6 - Prob. 4LLCh. 6 - Prob. 5LLCh. 6 - Prob. 6LLCh. 6 - Prob. 7LLCh. 6 - Prob. 8LL
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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_forwardWhy is it advantageous to use a large-diameter objective lens in a telescope? (a) It diffracts the light more effectively than smaller-diameter objective lenses. (b) It increases its magnification. (c) It enables you to see more objects in the field of view. (d) It reflects unwanted wavelengths. (e) It increases its resolution.arrow_forwardThe nearest neighboring star to the Sun is about 4 lightyears away. If a planet happened to be orbiting this star atan orbital radius equal to that of the Earth–Sun distance,what minimum diameter would an Earth-based telescope’saperture have to be in order to obtain an image that resolvedthis star–planet system? Assume the light emitted by thestar and planet has a wavelength of 550 nm.arrow_forward
- 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_forwardA spy satellite orbiting 600 km above Earth is supposedly capable of counting individual people in a crowd in visual- wavelength images. Assume that the middle of the visual wavelength band is at 550 nm . Assume an average person has a size of 0.8 m as seen from above. Estimate the minimum telescope diameter that the satellite must carry.arrow_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
- Assume that a spy satellite in orbit carries a telescope that can resolve objects on the ground as small as the width of a car’s license plate. If the satellite is in orbit at 400 kmkm above the earth’s surface (which is typical for orbiting telescopes) and it focuses light of wavelength 500 nmnm , what minimum diameter of the mirror (or objective lens) would be needed (Take the width of a typical license plate to be about 30 cmcm )? Express your answer in centimeters.arrow_forwardMany years ago, a lunar lander was sent to the moon given the base of the lunar lander is roughly 4 m wide and the moon is on average 380 000 km away from Earth, what is the angular size of the lunar lander in Arcsecindsm? how does this compare to the diffraction limited resolution of the Hubble Space Telescope (2.4 m aperture) when observing at the wavelength of 700 nm? can the HST resolve the lander of the moon?arrow_forwardA series of optical telescopes produced an image that has a resolution of about 0.00350 arc second. What is the smallest diameter telescope that could theoretically resolve these features using light with a wavelength of 1.90 μm? (Note: 1arcsec=1/3600∘) Express your answer to three significant figures and include appropriate units.arrow_forward
- Please answer both:The brightest star in the Pointers is α Centauri. It is actually a binary star, with two components known as α Cen A and α Cen B. They orbit each other for a period of about 80 years. At the moment they are separated by about 5 arcseconds in the sky. a) The average eye has a pupil diameter of 3mm, increasing to about 7mm at night. What is the theoretical best resolution for the human eye, at 500 nm? (Enter your answer in arc seconds, to the nearest whole number) b) Could you separate the two components with your naked eye (at 500 nm)?arrow_forwardWhat diameter telescope (in m) would you need to observe Olympus Mons (624 km in diameter) from Earth at a wavelength of 550 nm when Mars is 3.35 ✕ 108 km away?arrow_forwardWhat 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_forward
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