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Analytical and numerical solution of the problem of meteoroid motion in terrestrial atmosphere

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Abstract

A system of equations describing meteoroid motion in the terrestrial atmosphere is considered. It is shown that the system can be reduced to a single second-order differential equation for the height dependence of the mass. Approximate analytical expressions for the solution of the Cauchy problem for this equation are obtained, and conditions of applicability of these solutions are determined. The general case of the problem is solved numerically. Results of mathematical modeling are presented.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 71, No. 2, pp. 342–348, March–April, 1998.

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Kudryashov, N.A., Mukhai, E.A. Analytical and numerical solution of the problem of meteoroid motion in terrestrial atmosphere. J Eng Phys Thermophys 71, 347–353 (1998). https://doi.org/10.1007/BF02681559

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  • DOI: https://doi.org/10.1007/BF02681559

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