N-Body Model of High-Energy Collisions with Inter-Particle Cohesion

Astronomy and Astrophysics – Astronomy

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Scientific paper

We present a study of high-speed collisions with an N-body particle representation of targets and impactors. The targets are constructed of hard spherical particles where collisions between particles are modeled and energy dissipation during collisions is regulated by a coefficient of restitution. The targets also incorporate a simple model of cohesion based on a spring-like restoring force between adjacent particles. The "springs" are parameterized by the Young's modulus (which determines spring strength) and stress limit (maximum distension before breaking). Once a spring breaks, it remains broken and, in this work, each spring has identical parameters.
To explore this model's behavior in high-energy impacts in the strength regime (negligible gravity), the primary simulations presented are designed to calibrate our model against the laboratory experiments of Nakamura and Fujiwara (1991) [Nakamura and Fujiwara, Icarus, 92, 132 (1991)] who characterized the velocity distribution of fragments following a 3.3 km/s collision of a 7 mm diameter nylon sphere into a 6 cm basalt sphere. The target bodies are constructed of 1000, 2000 or 5000 particles with each individual particle having 10 - 107 Pascal bonding with, on average, 10 nearby particles. Values of coefficient of restitution, target particle packing and impactor structure (single particle or rubble pile) are also explored. The simulations are compared to the results of the laboratory experiments in remnant size distribution and morphology.
KJW is supported by the Henri Poincaré fellowship at the Observatoire de la Cote d'Azur, Nice, France. PM had the support of the French Programme National de Planetologie. DCR and SRS acknowledge support of the National Aeronautics and Space Administration under Grant No. NNX08AM39G issued through the Office of Space Science and by the National Science Foundation under Grant No. AST0708110. We acknowledge the use of the Mesocentre de Calcul-SIGAMM at the Observatoire de la Cote d'Azur.

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