Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 6, Problem 6CC
To determine
Whether the telescope mirror is deformed more rapidly or less rapidly, by the adaptive optics actuators, on a night when the atmosphere is unusually turbulent than usual night.
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A Kepler telescope has an objective lens of focal length 120 cm. It is used to observe a star
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Steve is planning to commandeer the Hubble Space Telescope (HST) so that he can spy on his rival, Brad. The primary mirror of HST is 2.4 m in diameter. At what altitude will Steve need to pilot HST in order to resolve things on a 3.0 cm scale at Brad’s remote compound?
Please show a step by step process with equations, with full explanations, and given units.
(a) What is the angular separation of two stars if their images are barely resolved by the Thaw refracting telescope at the Allegheny Observatory in Pittsburgh? The lens diameter is 76 cm and its focal length is 14 m. Assume l = 550 nm. (b) Find the distance between these barely resolved stars if each of them is 10 light-years distant from Earth. (c) For the image of a single star in this telescope, find the diameter of the first dark ring in the diffraction pattern, as measured on a photographic plate placed at the focal plane of the telescope lens. Assume that the structure of the image is associated entirely with diffraction at the lens aperture and not with lens “errors.”
Chapter 6 Solutions
Universe
Ch. 6 - Prob. 1CCCh. 6 - Prob. 2CCCh. 6 - Prob. 3CCCh. 6 - Prob. 4CCCh. 6 - Prob. 5CCCh. 6 - Prob. 6CCCh. 6 - Prob. 7CCCh. 6 - Prob. 8CCCh. 6 - Prob. 9CCCh. 6 - Prob. 10CC
Ch. 6 - Prob. 11CCCh. 6 - Prob. 1QCh. 6 - Prob. 2QCh. 6 - Prob. 3QCh. 6 - Prob. 4QCh. 6 - Prob. 5QCh. 6 - Prob. 6QCh. 6 - Prob. 7QCh. 6 - Prob. 8QCh. 6 - Prob. 9QCh. 6 - Prob. 10QCh. 6 - Prob. 11QCh. 6 - Prob. 12QCh. 6 - Prob. 13QCh. 6 - Prob. 14QCh. 6 - Prob. 15QCh. 6 - Prob. 16QCh. 6 - Prob. 17QCh. 6 - Prob. 18QCh. 6 - Prob. 19QCh. 6 - Prob. 20QCh. 6 - Prob. 21QCh. 6 - Prob. 22QCh. 6 - Prob. 23QCh. 6 - Prob. 24QCh. 6 - Prob. 25QCh. 6 - Prob. 26QCh. 6 - Prob. 27QCh. 6 - Prob. 28QCh. 6 - Prob. 29QCh. 6 - Prob. 30QCh. 6 - Prob. 31QCh. 6 - Prob. 32QCh. 6 - Prob. 33QCh. 6 - Prob. 34QCh. 6 - Prob. 35QCh. 6 - Prob. 36QCh. 6 - Prob. 37QCh. 6 - Prob. 38QCh. 6 - Prob. 39QCh. 6 - Prob. 40QCh. 6 - Prob. 41QCh. 6 - Prob. 42QCh. 6 - Prob. 43QCh. 6 - Prob. 44QCh. 6 - Prob. 45Q
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- (a) How far apart must two objects be on the moon to be resolved by the human eye? Take the diameter of the pupil of the eye to be 6 mm, the wavelength of the light to be 500 nm, and the distance from the earth to the moon to be 380 000 km. Number Units (b) How far apart must the objects be on the moon be to be resolved by a telescope that has a mirror diameter of 6 m? Number Unitsarrow_forwardThe primary mirror of a telescope is 2.4 m in diameter. At what altitude will you need to pilot the telescope in order to resolve things on a 3.0 cm scale?arrow_forwardLarge telescopes are usually reflecting rather than refracting. List some reasons for this choice.arrow_forward
- Please Asaparrow_forwardEstimate the linear separation (in kilometers) of two objects at a distance of 9.6 × 108 km that can just be resolved by an observer on Earth (a) using the naked eye and (b) using a telescope with a 6.2-m diameter mirror. Use the following data: diameter of pupil = 5.0 mm; wavelength of light = 550 nm.arrow_forwardIf a telescope is accurately focused on a distant object, in what direction must the eyepiece be moved to focus on a near object? Please answer this by using equations.arrow_forward
- A Keplerian telescope has an objective lens of diameter 12 cm and focal length +90 cm, and an eyepiece of focal length +8 mm. It is used to observe Jupiter which has a true diameter of 140 000 km and a distance of 750 million km from Earth. Calculate the apparent angular diameter of Jupiter as seen through the telescope; give your answer in degrees.arrow_forwardThe primary optical element of the Hubble Space Telescope (HST) is 3.2 m in diameter and has a focal length of 62 m. (Treat it as a simple, single lens for this homework) The telescope is aimed at Jupiter and the collected light is focused onto a sensitive Charge Coupled Device (CCD) detector, similar to what is in a digital camera. Each pixel in the detector is a 21 μm x 21 μm square, and the full CCD is 4096 x 4096 pixels. Thus the CCD is about one square inch in size. The HST is in orbit very close to the Earth (compared to other distances in the Solar system). Size of Jupiter: 139,820 km in diameter Distance to Jupiter: 778 million km How many pixels in diameter is Jupiter's image on CCD?arrow_forwardCan you please help me with this question? Thank you!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_forwardEstimate the linear separation (in kilometers) of two objects at a distance of 1.4 x 106 km that can just be resolved by an observer on Earth (a) using the naked eye and (b) using a telescope with a 5.4-m diameter mirror. Use the following data: diameter of pupil = 5.0 mm; wavelength of light = 550 nm. (a) Number i Units (b) Number i Unitsarrow_forwardCompute the focal ratio (stated as "f/xxx"), the plate scale (in arc seconds/mm), and the linear separation of Alcor and Mizar on the image of this pair formed at the Coudé focus of the 82-inch telescope at McDonald Observatory. The primary mirror has a diameter of 2.08m and the focal length for this set-up is 47.70m. Alcor and Mizar are separated in the sky by an angle of 0.20°.arrow_forward
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