Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 12, Problem 28Q
To determine
The radius of Jupiter's core if its density is 5 times Earth's average density. Also, compare this radius with the radius of Earth by considering the model described in Section 12-6, and use the data about Earth given in Table 9-1.
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Consider an asteroid that orbits in a relatively circular orbit with a semimajor axis a = 2 au
from the Sun. A typical asteroid has an albedo, or reflectivity, A ~ 0.3. At our closest
approach to the asteroid, we make a measurement of the flux coming from the asteroid to
be F = 3 × 10-15 w m-2. What is the radius of the asteroid in km? Include a labelled
diagram along with your calculations.
At what average distances (in AU) from the Sun would you expect to find Kirkwood gaps where the orbital period of asteroids are respectively four-ninths, and two-fifths, of the orbital period of Jupiter? (Hint: use Kepler's third
law.)
inner gap at
AU
outer gap at
AU
Compare your results with the figure.
7:2
3:1
8,3 5;2
7:3 9:4
2;1
9:5 7:4 53 8:5
3:2
Resonances
Gap
Gap
Gap Gap GapGap
Gap
Distance from sun (AU)
O The results agree with the figure.
O The results do not agree with the figure.
Why has Jupiter retained most of its original atmosphere?
Chapter 12 Solutions
Universe
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