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. 72 31 83 52 7304 21 4-1 Resonances Gap Gap Gap Gap Gap Gap Gap Distance from sun (AU) O The results agree with the figure. O The results do not agree with the figure.
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. 72 31 83 52 7304 21 4-1 Resonances Gap Gap Gap Gap Gap Gap Gap Distance from sun (AU) O The results agree with the figure. O The results do not agree with the figure.
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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Transcribed Image Text:**Question:**
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.
**Graph Explanation:**
The graph shows the "Number of asteroids" on the y-axis and "Distance from sun (AU)" on the x-axis, ranging from 2 to 4 AU. Key features of the graph include:
- **Resonances**: Indicated above the graph with various ratios such as 4:1, 7:2, 3:1, 8:3, 5:2, 7:3, 9:4, and 2:1.
- **Gaps**: Marked as "Gap" below bars at certain resonance points.
- Peaks represent higher numbers of asteroids, with shaded regions indicating gaps corresponding to specific resonances.
**Options:**
- ○ The results agree with the figure.
- ○ The results do not agree with the figure.
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