To model the interaction with the atmosphere of fragments of a disrupted asteroid, which move independently of each other, it is necessary to know their mass distribution. In this regard, an analogy is drawn with fragmentation in high-speed impact experiments performed to simulate the disruption of asteroids at their collisions in outer space. Based on the results of impact experiments and assuming a power law for the mass distribution in a differential form, we obtained the cumulative number of fragments as a function of the fragment mass m normalized to the total mass of fragments, the mass fraction of the largest fragment(s), the number of the largest fragments, and the power index. The formula for the cumulative number of fragments of a disrupted body is used to describe the results of impact experiments for different fragmentation types. The proposed fragment mass distribution is also tested by comparison with the mass distributions of recovered meteorites in the cases of Mbale, Bassikounou, Almahata Sitta, Košice, and Chelyabinsk meteorite falls.

中文翻译：

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一颗小行星碎片在地球大气层中的质量分布

为了模拟相互独立运动的被破坏小行星碎片与大气的相互作用，有必要了解它们的质量分布。在这方面，我们用高速撞击实验中的碎片进行类比，以模拟小行星在外层空间碰撞时的破坏。基于撞击实验的结果并假设质量分布为微分形式的幂律，我们获得了作为碎片质量m的函数的累积碎片数归一化为碎片的总质量、最大碎片的质量分数、最大碎片的数量和功率指数。破碎体的累计碎片数公式用于描述不同破碎类型的撞击实验结果。建议的碎片质量分布也通过与 Mbale、Bassikounu、Almahata Sitta、Košice 和车里雅宾斯克陨石坠落中回收的陨石的质量分布进行比较来测试。