Nathan Kaib 5/16/08
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Transcript of Nathan Kaib 5/16/08
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Origin of the Structure of the Kuiper Belt During a Dynamical
Instability in the Orbits of Uranus and Neptune (“the Nice Model”)
Nathan Kaib5/16/08
Levison, H., Morbidelli, A., VanLaerhoven, C., Gomes, R., & Tsiganis, K.Icarus, Accepted
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Outline
• Description of Kuiper Belt
• Giant Planet Migration and the Nice Model
• Simulation Results
• Conclusions
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Outline
• Description of Kuiper Belt
• Giant Planet Migration and the Nice Model
• Simulation Results
• Conclusions
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Properties of the Kuiper Belt
• Missing Mass: KB only contains 0.01 – 0.1 Earth masses
• Need 2-3 orders of magnitude more mass to accrete 100-1000 km bodies
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Properties of the Kuiper Belt
• 10 – 50% of objects found in resonances with Neptune
• Inclinations extend up to ~40o
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Properties of the Kuiper Belt
• Contains large population of excited orbits that do not pass near planets now
- Scattered Disk
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Properties of the Kuiper Belt
• Contains double peaked inclination distribution:
-“Hot” population
-“Cold” populationHot
Cold
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Properties of the Kuiper Belt
• Hot and Cold populations have different properties
Hot
Cold
Bluer, Larger
Redder, Smaller
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Properties of the Kuiper Belt
• Cold, low e population has sharp cutoff at 1:2 resonance with Neptune
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Outline
• Description of Kuiper Belt
• Giant Planet Migration and the Nice Model
• Simulation Results
• Conclusions
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Planetesimal Scattering
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Outer Planet Migration
• Nep, Ura, and Sat much more likely to scatter bodies in than eject them
• Jupiter’s energy kicks are powerful enough to eject most bodies
SU
J
N
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Outer Planet Migration
Neptune, Uranus, and Saturn migrate outwards and Jupiter moves in to conserve angular momentum
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Current Planet Configuration
1:2 MMR
Saturn currently is ~1.3 AU beyond the 1:2 MMR with Jupiter
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The Nice Model
1:2 MMR ~35 AU
If there were 10’s of Earth masses of material beyond Neptune originally, then Saturn must have crossed the 1:2 MMR with Jupiter
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• Saturn crossing 1:2 MMR causes orbits of U and N to become chaotic
• Dynamical friction due to scattering damps re-circurlarizes orbits
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Nice Model Can Explain…
• Cataclysmic Late Heavy Bombardment 3.8 Gyrs ago
• High inclinations of Jovian Trojans• Existence of cometary bodies in main
asteroid belt• Significant non-zero inclinations and
eccentricities of giant planets• Irregular satellite populations of giant
planets
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Nice Model Can Explain…
• Cataclysmic Late Heavy Bombardment 3.8 Gyrs ago
• High inclinations of Jovian Trojans• Existence of cometary bodies in main
asteroid belt• Significant non-zero inclinations and
eccentricities of giant planets• Irregular satellite populations of giant
planets
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Nice Model Can Explain…
• Cataclysmic Late Heavy Bombardment 3.8 Gyrs ago
• High inclinations of Jovian Trojans• Existence of cometary bodies in main
asteroid belt• Significant non-zero inclinations and
eccentricities of giant planets• Irregular satellite populations of giant
planets
![Page 21: Nathan Kaib 5/16/08](https://reader036.fdocuments.us/reader036/viewer/2022062410/56816033550346895dcf541f/html5/thumbnails/21.jpg)
Nice Model Can Explain…
• Cataclysmic Late Heavy Bombardment 3.8 Gyrs ago
• High inclinations of Jovian Trojans• Existence of cometary bodies in main
asteroid belt• Significant non-zero inclinations and
eccentricities of giant planets• Irregular satellite populations of giant
planets
![Page 22: Nathan Kaib 5/16/08](https://reader036.fdocuments.us/reader036/viewer/2022062410/56816033550346895dcf541f/html5/thumbnails/22.jpg)
Nice Model Can Explain…
• Cataclysmic Late Heavy Bombardment 3.8 Gyrs ago
• High inclinations of Jovian Trojans• Existence of cometary bodies in main
asteroid belt• Significant non-zero inclinations and
eccentricities of giant planets• Irregular satellite populations of giant
planets
![Page 23: Nathan Kaib 5/16/08](https://reader036.fdocuments.us/reader036/viewer/2022062410/56816033550346895dcf541f/html5/thumbnails/23.jpg)
Outline
• Description of Kuiper Belt
• Giant Planet Migration and the Nice Model
• Simulation Results
• Conclusions
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Simulations• Start planets at last
scattering between Uranus and Neptune
• Surround Neptune’s orbit with torus of 60,000 test particles extending to 34 AU
• Vary Neptune’s starting place and e-damping in sims
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Simulations
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Observed Simulated
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Results SummaryKuiper Belt Mass: Simulations predict 0.05 to
0.14 Earth massesResonant Populations: Inclinations and
eccentricities reproduced well
Scattered Disk: Distribution of a and q reproduced
Bimodal Inclinations: Reproduced
Physical Differences in Hot and Cold Pops:
Cold and Hot bodies originate in different areas
1:2 Resonance Cold Boundary:
Cold pops. all stop near 1:2 MMR
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Results SummaryKuiper Belt Mass: Simulations predict 0.05 to
0.14 Earth massesResonant Populations: Inclinations and
eccentricities reproduced well
Scattered Disk: Distribution of a and q reproduced
Bimodal Inclinations: Reproduced
Physical Differences in Hot and Cold Pops:
Cold and Hot bodies originate in different areas
1:2 Resonance Cold Boundary:
Cold pops. all stop near 1:2 MMR
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Results SummaryKuiper Belt Mass: Simulations predict 0.05 to
0.14 Earth massesResonant Populations: Inclinations and
eccentricities reproduced well
Scattered Disk: Distribution of a and q reproduced
Bimodal Inclinations: Reproduced
Physical Differences in Hot and Cold Pops:
Cold and Hot bodies originate in different areas
1:2 Resonance Cold Boundary:
Cold pops. all stop near 1:2 MMR
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Observed Simulated
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Results SummaryKuiper Belt Mass: Simulations predict 0.05 to
0.14 Earth massesResonant Populations: Inclinations and
eccentricities reproduced well, Numbers?
Scattered Disk: Distribution of a and q reproduced
Bimodal Inclinations: Reproduced
Physical Differences in Hot and Cold Pops:
Cold and Hot bodies originate in different areas
1:2 Resonance Cold Boundary:
Cold pops. all stop near 1:2 MMR
![Page 32: Nathan Kaib 5/16/08](https://reader036.fdocuments.us/reader036/viewer/2022062410/56816033550346895dcf541f/html5/thumbnails/32.jpg)
Results SummaryKuiper Belt Mass: Simulations predict 0.05 to
0.14 Earth massesResonant Populations: Inclinations and
eccentricities reproduced well, Numbers?
Scattered Disk: Distribution of a and q reproduced
Bimodal Inclinations: Reproduced
Physical Differences in Hot and Cold Pops:
Cold and Hot bodies originate in different areas
1:2 Resonance Cold Boundary:
Cold pops. all stop near 1:2 MMR
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Observed Simulated
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Results SummaryKuiper Belt Mass: Simulations predict 0.05 to
0.14 Earth massesResonant Populations: Inclinations and
eccentricities reproduced well, Numbers?
Scattered Disk: Distribution of a and q reproduced
Bimodal Inclinations: Reproduced
Physical Differences in Hot and Cold Pops:
Cold and Hot bodies originate in different areas
1:2 Resonance Cold Boundary:
Cold pops. all stop near 1:2 MMR
![Page 35: Nathan Kaib 5/16/08](https://reader036.fdocuments.us/reader036/viewer/2022062410/56816033550346895dcf541f/html5/thumbnails/35.jpg)
Results SummaryKuiper Belt Mass: Simulations predict 0.05 to
0.14 Earth massesResonant Populations: Inclinations and
eccentricities reproduced well, Numbers?
Scattered Disk: Distribution of a and q reproduced
Bimodal Inclinations: Reproduced
Physical Differences in Hot and Cold Pops:
Cold and Hot bodies originate in different areas
1:2 Resonance Cold Boundary:
Cold pops. all stop near 1:2 MMR
![Page 36: Nathan Kaib 5/16/08](https://reader036.fdocuments.us/reader036/viewer/2022062410/56816033550346895dcf541f/html5/thumbnails/36.jpg)
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Results SummaryKuiper Belt Mass: Simulations predict 0.05 to
0.14 Earth massesResonant Populations: Inclinations and
eccentricities reproduced well, Numbers?
Scattered Disk: Distribution of a and q reproduced
Bimodal Inclinations: Reproduced
Physical Differences in Hot and Cold Pops:
Cold and Hot bodies originate in different areas
1:2 Resonance Cold Boundary:
Cold pops. all stop near 1:2 MMR
![Page 38: Nathan Kaib 5/16/08](https://reader036.fdocuments.us/reader036/viewer/2022062410/56816033550346895dcf541f/html5/thumbnails/38.jpg)
Results SummaryKuiper Belt Mass: Simulations predict 0.05 to
0.14 Earth massesResonant Populations: Inclinations and
eccentricities reproduced well, Numbers?
Scattered Disk: Distribution of a and q reproduced
Bimodal Inclinations: Reproduced
Physical Differences in Hot and Cold Pops:
Cold and Hot bodies originate in different areas
1:2 Resonance Cold Boundary:
Cold pops. all stop near 1:2 MMR
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Hot
Cold
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Results SummaryKuiper Belt Mass: Simulations predict 0.05 to
0.14 Earth massesResonant Populations: Inclinations and
eccentricities reproduced well, Numbers?
Scattered Disk: Distribution of a and q reproduced
Bimodal Inclinations: Reproduced
Physical Differences in Hot and Cold Pops:
Cold and Hot bodies originate in different areas
1:2 Resonance Cold Boundary:
Cold pops. all stop near 1:2 MMR
![Page 41: Nathan Kaib 5/16/08](https://reader036.fdocuments.us/reader036/viewer/2022062410/56816033550346895dcf541f/html5/thumbnails/41.jpg)
Results SummaryKuiper Belt Mass: Simulations predict 0.05 to
0.14 Earth massesResonant Populations: Inclinations and
eccentricities reproduced well, Numbers?
Scattered Disk: Distribution of a and q reproduced
Bimodal Inclinations: Reproduced
Physical Differences in Hot and Cold Pops:
Cold and Hot bodies originate in different areas
1:2 Resonance Cold Boundary:
Cold pops. all stop near 1:2 MMR
![Page 42: Nathan Kaib 5/16/08](https://reader036.fdocuments.us/reader036/viewer/2022062410/56816033550346895dcf541f/html5/thumbnails/42.jpg)
Observed Simulated
![Page 43: Nathan Kaib 5/16/08](https://reader036.fdocuments.us/reader036/viewer/2022062410/56816033550346895dcf541f/html5/thumbnails/43.jpg)
Results SummaryKuiper Belt Mass: Simulations predict 0.05 to
0.14 Earth massesResonant Populations: Inclinations and
eccentricities reproduced well, Numbers?
Scattered Disk: Distribution of a and q reproduced
Bimodal Inclinations: Reproduced
Physical Differences in Hot and Cold Pops:
Cold and Hot bodies originate in different areas
1:2 Resonance Cold Boundary:
Cold pops. all stop near 1:2 MMR
![Page 44: Nathan Kaib 5/16/08](https://reader036.fdocuments.us/reader036/viewer/2022062410/56816033550346895dcf541f/html5/thumbnails/44.jpg)
Conclusions
• Nice Model reproduces more properties of Kuiper Belt than any other previous scenario
• Eccentricities of cold belt too high by a factor of 2
• May be due to unaccounted for physics such as collisional damping