Geodesic
Approximation by elementary functions for the solution of meteor physics equations
Matematičeskoe modelirovanie, Tome 27 (2015) no. 2, pp. 25-33

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In this paper we examine the possibility of approximation by elementary functions for the analytical solution of meteor physics equations, used to describe the trajectory and to evaluate the defining parameters of meteoroids entering the Earth's atmosphere. We show the possibility to replace the analytical solution with the concatenation of two elementary functions along one parameter. We provide estimates for the error of the proposed replacement. We investigate the error functional value in the approximation of meteor observational data.
Keywords: exponential integral, analytical solution, approximation, atmospheric trajectory, meteor, deceleration
Mots-clés : ablation. 
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     author = {M. I. Gritsevich and V. T. Lukashenko and L. I. Turchak},
     title = {Approximation by elementary functions for the solution of meteor physics equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {25--33},
     publisher = {mathdoc},
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     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_2_a1/}
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M. I. Gritsevich; V. T. Lukashenko; L. I. Turchak. Approximation by elementary functions for the solution of meteor physics equations. Matematičeskoe modelirovanie, Tome 27 (2015) no. 2, pp. 25-33. http://geodesic.mathdoc.fr/item/MM_2015_27_2_a1/