On the Modeling of the Disruption of Cosmic Bodies at High-Speed Impacts

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The results of the experimental study of the interaction of polyethylene impactors with a massive flat organic-glass target are presented. The impactor speed ranged from 3.2 to 5.84 km/s. A statistical analysis of the mass and size distributions of fragments of the impact and chop craters of the target is done. As a result, some scaling relations are established for the geometric size of the craters, the cumulative ejected mass, the mass of the largest fragment ejected from the impact crater, and for the dust mass. The mass distribution of the impact-crater fragments is shown to obey a power law and agrees well with other authors" data for some materials. The critical impact energy ɛ_k, resulting in the catastrophic disruption of the target into individual fragments, is estimated. For organic glass, the value of ɛ_kis found to be 4 × 10^4J/kg. The mass of the largest (central) fragment accounts for 27 to 33% of the overall mass ejected from the impact crater. The use of the parameter Π_3= σ_p/ρ_pv^2_0gives the best fit to the observational data for the masses released from the impact and chop craters.

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