Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 6, Problem 40Q
To determine
Whether or not the Hubble Space Telescope can distinguish any feature on Pluto.
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The angular separation in degrees of two objects is (physical separation × 360°) / (2 π × distance). If an individual was observing our solar system from Castor at a distance of 7.2 light years. What angular resolution, in arcsecond, is needed to resolve the Sun-Jupiter system (5.46 AU) as distinct points of light?
You have a radio telescope that you are designing to observe the fine details of the ring of hydrogen
around Jupiter (yes, Jupiter does have rings, but not as pretty as Saturn.) Jupiter is about 5.93E8 km
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The unaided human eye has a resolution of about 100 arc seconds in bright lighting conditions. Could someone looking out the command module window have seen the astronauts on the Moon yes or no?
Chapter 6 Solutions
Universe: Stars And Galaxies
Ch. 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. 10Q
Ch. 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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- Theoretically (that is, if seeing were not an issue), the resolution of a telescope is inversely proportional to its diameter. How much better is the resolution of the ALMA when operating at its longest baseline than the resolution of the Arecibo 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_forwardThe Hubble Space Telescope has a primary mirror with diameter 2.4 m. Suppose you were able to point it at Mars when the planct is at its closest point to the Earth in its orbit, which would be about 55.7 million km from the telescope. How close could two features on the Martian surface be and still be resolved (assume a wavelength in the middle of the visible spectrum - a number you should know at this point, at least approximately)?arrow_forward
- What diameter telescope is needed to resolve the separation between an Earth-like planet and its star at 550 nm if the linear separation between them is 1 AU and the star system is 4 pc from Earth? (Give your answer in m.) marrow_forwardTwo identical stars are moving in a circular orbit around one another with an orbital separation of 2 AU. The system lies 200 light-years from Earth. If we happen to view the orbit head-on, how large a telescope would we need to resolve the stars, assuming diffraction-limited optics at a wavelength of 2 μm?arrow_forwardWhat diameter telescope is needed to see the separation between Uranus and its largest moon, Titania, from Earth at 550 nm, when Earth is 19.7 AU away? The moon is 436,300 km from the center of the planet. (Enter your answer in m.) marrow_forward
- What are the arguments for building the TMT telescope?arrow_forwardWhat should the swath width of a sensor be with a sun synchronous orbit with an altitude of 700km if you only want to cover 1/3 of the equator each day? How would you calculate this step by step? The lens diameter of the sensor is 20cm and the focal length is 1.5 m with a ground resolution of 100m.arrow_forwardLarge telescopes often have small fields of view, i.e. it can only see a very small corner of the sky. For example, the Hubble Space Telescope (HST) Advanced Camera has a field of view that is roughly square and about 0.055 degree on a side. Calculate the angular area of the HST's field of view in square degrees.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_forwardVoyager 2. When the Voyager 2 spacecraft was approaching towards its Neptune encounter in 1989, it was 4.5 × 10° km away from the earth. Its radio transmitter, with which it communicated with us (and we communicated with it), broadcast with a mere 22 Watt of power at the S-band (2.1 GHz). (Your home wi-fi router emits around 2 Watt at 2.4 GHz wi-fi band). Assuming the Voyager transmitter broadcast equally in all directions, (a) What signal intensity was received on the earth? (b) What electric and magnetic field amplitudes were detected? (c) How many 2.1 GHz photons were arriving per second on a radio-receiver antenna with a circular cross-section of diameter 34 meters? Two counter-propagating plane waves (a) Let E(z, t) = E0 cos(kz – wt)â + E, cos(kz + wt)x. Write E(z, t) in simpler form and find the associated magnetic field. (b) For the fields in part (a), find the instantaneous and time-averaged electric and magnetic field energy densities. (c) Let E(z, t) = E, cos(kz – wt)x + E,…arrow_forwardAstronauts observing from a space station need a telescope with a resolving power of 0.9 arc seconds at a wavelength of 540 bam 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_forward
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