image: isas/jaxa christopher stark university of maryland nasa goddard space flight center...

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Image: ISAS/JAXA Christopher Stark University of Maryland NASA Goddard Space Flight Center Collisional Grooming: Including Collisions in (Prohibitively Large) N-body Simulations

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Image: ISAS/JAXA

Christopher StarkUniversity of Maryland

NASA Goddard Space Flight Center

Collisional Grooming:

Including Collisions in (Prohibitively Large)N-body Simulations

Fomalhaut

Kalas et al. 2005

Greaves et al. 1998

Eri

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Schneider et al. 2009

HR 4796A

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Kalas et al. 2008

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Fomalhaut

Kalas et al. 2005

Greaves et al. 1998

Eri

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Schneider et al. 2009

HR 4796A

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Velocity Dispersion in a Structured Debris Disk

PR + solarwind drag

Stellargravitational

force

Planetarygravitational

forces Radiation pressure

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Ni = Ni(t=0)

Ni(t=t) = Ni(t=0)e-

Ni(t=2t) = Ni(t=t)e-

Ni(t=3t) = Ni(t=2t)e-

i

i

i

The Collisional Grooming Algorithm

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Iterative Convergence of the Collisional Grooming Algorithm

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Correctness of Solution to the Mass Flux Equation

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Qu

ickTim

e™

and a

TIF

F (

Un

com

pre

ssed)

decom

pre

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ture

.Collision Rate in a Resonant Ring Structure

Collision Rate in a Resonant Ring Structure

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No Collisions More Collisions

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Ni = Ni(t=0)

Ni(t=t) = Ni(t=0)e- i

Fragmentation

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Fragmentation

Fomalhaut

Kalas et al. 2005

Greaves et al. 1998

Eri

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Schneider et al. 2009

HR 4796A

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Distribution of KBOs

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= 0.6 m

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= 60 m

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= 800 m

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Disk-Total Grain Size Distribution

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Summary

• Grain-grain collisions play an important role in determining debris disk morphology, even for disks with optical depths ~10-7

• Collisional grooming allows us to include gravitational resonant dynamics and grain-grain collisions simultaneously & self-consistently

• Algorithm runs post-integration & takes ~1 hour on a single processor