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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**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.
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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