21st Century Astronomy: The Solar System (Sixth Edition)
21st Century Astronomy: The Solar System (Sixth Edition)
6th Edition
ISBN: 9780393691283
Author: Laura Kay; Stacy Palen; George Blumenthal
Publisher: W. W. Norton
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Chapter 4, Problem 44QP

(a)

To determine

Find the time it will take for the planet to make one orbit around Vega in Earth years.

(b)

To determine

Find the speed of the planet travelling in its orbit around the Vega.

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In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to the star HD 179949 (hence the term "hot Jupiter"). The orbit was just 1/9 the distance of Mercury from our Sun, and it takes the planet only 3.09 days to make one orbit (assumed to be circular). a. What is the mass of the star? Express your answer in kilograms and as a multiple of our Sun's mass. b. How fast (in km/s) is this planet moving?
2. a. Consider two planets orbiting a distant star. Planet A is further from the star. A is orbiting at a speed of 14625 m/s and has an orbital period of 12.45 years. What is the radius of A's orbit? Hint: remember to convert the period into seconds. 4.57E11 Previous submissions: 457000000000 b. What is the mass of the star? 1.465E30 Previous submissions: 1.465e30 kg c. Planet B is closer in. B has a larger velocity of 38500 m/s. What is the radius of B's orbit? 6.598E10 Previous submissions: m 65980000000 m m kg m incorrect incorrect V incorrect
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