Horizons: Exploring the Universe (MindTap Course List)
Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 4, Problem 1LTL
To determine

To identify:

The three astronomical objects and the two rings shown in the given figure

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Imagine a telescope was placed on the planet Mercury and was used to measure the positions of stars in the sky. Assuming Mercury follows a circular orbit with a semi-major axis = 0.387 AU and a period = 88 days, calculate the maximum %3D stellar aberration that would be detected, expressing your answer in arcseconds. Choose the option below that best matches your answer. Select one: Оа. 100 O b. 25 О с 60 O d. 15 O e. 33
Next you will (1) convert your measurement of the semi-major axis from arcseconds to AU, (2) convert your measurement of the period from days to years, and (3) calculate the mass of the planet using Newton's form of Kepler's Third Law. Use Stellarium to find the distance to the planet when Skynet took any of your images, in AU. Answer: 4.322 AU Use this equation to determine a conversion factor from 1 arcsecond to AU at the planet's distance. You will need to convert ? = 1 arcsecond to degrees first. Answer: 2.096e-5 AU (2 x 3.14 x 4.322 x (.000278/360) = 2.096e-5) Next, use this number to convert your measurement of the moon's orbital semi-major axis from arcseconds to AU. A) Calculate a in AU.    B) Convert your measurement of the moon's orbital period from days to years.   C) By Newton's form of Kepler's third law, calculate the mass of the planet. D) Finally, convert the planet's mass to Earth masses: 1 solar mass = 333,000 Earth masses.
From a distance of 800 km above the surface of the Moon, what is the angular diameter of an astronaut in a spacesuit who has a linear diameter of 0.8 m viewed from above? (won Use the small-angle formula, angular diameter (in arc seconds) linear diameter 2.06 x 105 distance arc seconds 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 No

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Horizons: Exploring the Universe (MindTap Course List)

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