At what average distances (in AU) from the Sun would you expect to find Kirkwood gaps where the orbital period of asteroids are respectively two-fif ths, and one-third, 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. 4:1 7:2 3;1 8:3 5;2 7:3 9:4 2;1 9:5 7:4 5:3 8:5 Resonances- Gap Gap Gap Gap Gap Gap Gap Distance from sun (AU) The results agree with the figure. The results do not agree with the figure.

Applications and Investigations in Earth Science (9th Edition)
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ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
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Chapter1: The Study Of Minerals
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**Text Transcription for Educational Website:**

At what average distances (in AU) from the Sun would you expect to find Kirkwood gaps where the orbital period of asteroids are respectively two-fifths, and one-third, 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.

- The results agree with the figure.
- The results do not agree with the figure.

**Graph Explanation:**

The graph shows the "Number of asteroids" plotted against the "Distance from sun (AU)." It highlights several Kirkwood gaps, which appear as regions with fewer asteroids, and these are marked by shaded purple areas.

- There are several resonance ratios displayed above the gaps:
  - From left to right, the first marked gap corresponds to a 7:2 resonance.
  - Other visible resonances include 3:1, 8:3, 7:3, 9:4, and 2:1.
  
- The x-axis, labeled "Distance from sun (AU)," ranges from 2 to 4 AU.
- The y-axis shows the "Number of asteroids," indicating the asteroid density at different distances.

The gaps occur at specific resonances due to gravitational influences, particularly from Jupiter. These influence where Kirkwood gaps appear amongst asteroid populations.
Transcribed Image Text:**Text Transcription for Educational Website:** At what average distances (in AU) from the Sun would you expect to find Kirkwood gaps where the orbital period of asteroids are respectively two-fifths, and one-third, 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. - The results agree with the figure. - The results do not agree with the figure. **Graph Explanation:** The graph shows the "Number of asteroids" plotted against the "Distance from sun (AU)." It highlights several Kirkwood gaps, which appear as regions with fewer asteroids, and these are marked by shaded purple areas. - There are several resonance ratios displayed above the gaps: - From left to right, the first marked gap corresponds to a 7:2 resonance. - Other visible resonances include 3:1, 8:3, 7:3, 9:4, and 2:1. - The x-axis, labeled "Distance from sun (AU)," ranges from 2 to 4 AU. - The y-axis shows the "Number of asteroids," indicating the asteroid density at different distances. The gaps occur at specific resonances due to gravitational influences, particularly from Jupiter. These influence where Kirkwood gaps appear amongst asteroid populations.
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