Abstract The meteoroid disruption into a large number of fragments when they move with a common shock wave before dispersion to a sufficient distance to move independently is considered. Disrupted meteoroid under the action of pressure forces is deformed: it is compressed in a flight direction and expands in a lateral one. Four models of the meteoroid disruption into a cloud of fragments moving as a single body are considered: two models developed by the authors and two models used in the literature (Grigoryan, 1979; Hills and Goda, 1993). The principal differences between the proposed and accepted models are shown. Numerical solutions of the meteor physics equations are obtained using the above models to simulate the interaction of the Chelyabinsk meteoroid with the atmosphere. To model the meteoroid ablation, an approximate formula is used for the radiative heat transfer coefficient as a function of the meteoroid velocity and size and the atmospheric density. The influence of the heat transfer coefficient uncertainty (including its constant value) on the meteoroid mass loss, energy deposition and initial mass estimate is studied. Solutions using different fragmentation models are compared with each other and with observational data and the results of comparisons are discussed.

中文翻译：

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关于流星体破碎成碎片云的模型

摘要 考虑了流星体在分散到足够距离以独立移动之前与共同的冲击波一起移动时被破坏成大量碎片的现象。破碎的流星体在压力作用下发生变形：它在飞行方向上被压缩，在横向方向上膨胀。考虑了流星体分裂成作为单个物体移动的碎片云的四种模型：作者开发的两种模型和文献中使用的两种模型（Grigoryan，1979 年；Hills 和 Goda，1993 年）。显示了提议的模型和接受的模型之间的主要区别。使用上述模型模拟车里雅宾斯克流星体与大气的相互作用，得到流星物理方程的数值解。为了模拟流星体烧蚀，辐射传热系数使用近似公式作为流星体速度和大小以及大气密度的函数。研究了传热系数不确定性（包括其常数值）对流星体质量损失、能量沉积和初始质量估计的影响。将使用不同破碎模型的解决方案相互比较，并与观察数据进行比较，并讨论比较结果。