Universe: Stars And Galaxies
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 18, Problem 41Q
To determine

The angular diameter in arcminutes of Cassiopeia A as seen from Earth.

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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.
What 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.) m
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
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