Abstract—

The problem of modeling ablation and energy deposition of cosmic bodies that enter the Earth’s atmosphere at high velocities and disintegrate into numerous fragments is considered. In the first stage the fragments move together with the common bow shock before to go away at a distance which is sufficient in order for individual shock waves to be formed. Models of the cloud of fragments that simulate breakup of the meteoroid in this stage are investigated, namely, the two-parameter model that takes into account changes in the shape and density of the cloud and simple models in which these effects are neglected. The models are compared with reference to the possibility to reproduce the Chelyabinsk bolide’s energy deposition. It is shown the effect of the heat transfer coefficient on the results of calculation of energy deposition and lateral expansion of the cloud in using various fragmentation models and on the applicability of the models themselves. A simple optimum model that gives the best agreement with the observational curve of the Chelyabinsk bolide’s energy deposition as a function of the heat transfer coefficient is found.

中文翻译：

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大气中碎片流星体能量沉积的模拟

摘要-

考虑了对以高速进入地球大气层并分解成无数碎片的宇宙天体的烧蚀和能量沉积进行建模的问题。在第一阶段，碎片与共同的弓形激波一起移动，然后离开一段足以形成单独激波的距离。研究了模拟该阶段流星体破裂的碎片云模型，即考虑云形状和密度变化的双参数模型和忽略这些影响的简单模型。参考再现车里雅宾斯克火炬能量沉积的可能性对模型进行了比较。显示了传热系数对使用各种碎裂模型计算云的能量沉积和横向膨胀的结果以及模型本身的适用性的影响。找到了一个简单的优化模型，该模型与作为传热系数函数的车里雅宾斯克火炬的能量沉积的观测曲线具有最佳一致性。