Abstract

An approximate analytical solution to the equations of the physical theory of meteors is obtained for a meteoroid moving as a single body under the assumption of constant ablation parameter. The approach allows predicting the velocity and mass of the meteoroid at any point of its trajectory. The accuracy of the solution is estimated. A numerical-analytical method for solving the equations is proposed for the case when the ablation parameter is variable. The soluitons obtained by different methods with constant and variable ablation parameters are compared.

中文翻译：

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溶蚀参数可变的流星物理理论方程的数值解析方法

摘要

在恒定消融参数的假设下，流星体作为一个整体运动，从而获得了流星物理理论方程的近似解析解。该方法允许预测流星体在其轨迹的任何点的速度和质量。估计解决方案的准确性。针对烧蚀参数可变的情况，提出了一种数值求解方法。比较通过不同方法获得的具有恒定和可变烧蚀参数的溶液。