Modeling Collisional Cascades In Debris Disks: The Numerical Method

Details Modeling Collisional Cascades In Debris Disks: The Numerical Method Modeling Collisional Cascades In Debris Disks: The Numerical Method

2011-10-26

arxiv.org/abs/1110.5929v1

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

24 pages, 20 figues, Submitted to ApJ

Scientific paper

We develop a new numerical algorithm to model collisional cascades in debris disks. Because of the large dynamical range in particle masses, we solve the integro-differential equations describing erosive and catastrophic collisions in a particle-in-a-box approach, while treating the orbital dynamics of the particles in an approximate fashion. We employ a new scheme for describing erosive (cratering) collisions that yields a continuous set of outcomes as a function of colliding masses. We demonstrate the stability and convergence characteristics of our algorithm and compare it with other treatments. We show that incorporating the effects of erosive collisions results in a decay of the particle distribution that is significantly faster than with purely catastrophic collisions.

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