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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

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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.

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Authors and Affiliations

  1. Research Institute of Mechanics, Moscow State University, Michurinskii pr. 1, Moscow, 119192, Russia

    G. A. Tirskiy

  2. Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow oblast, 141700, Russia

    G. A. Tirskiy

Authors
  1. G. A. Tirskiy
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Correspondence to G. A. Tirskiy.

Additional information

Original Russian Text © G.A. Tirskiy, 2017, published in Doklady Akademii Nauk, 2017, Vol. 477, No. 5, pp. 547–551.

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Tirskiy, G.A. 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. Dokl. Phys. 62, 560–563 (2017). https://doi.org/10.1134/S1028335817120072

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  • DOI: https://doi.org/10.1134/S1028335817120072

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