Analytical solution of the equations of the physical theory of meteors for a single (non-fragmenting) body with mass loss in a non-isothermal (arbitrary) atmosphere with a variable ablation parameter

Abstract

We have obtained an analytical solution of two simultaneous ordinary differential equations of the physical theory of meteors: the equation of motion for the center of mass of a meteoroid (deceleration equation), the thermal balance equation (ablation equation), the luminosity equation, and the ionization trail equation. The solution has been obtained by assuming a straight-line trajectory and a power-law dependence of the ablation parameter on the meteoroid velocity for an arbitrary atmosphere in the continuous flow regime.