Numerical-Analytical Method for Solving Equations of the Physical Theory of Meteors at Variable Ablation Parameter

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.