Approximating the solution of meteor physics equations through the use of elementary functions
- Authors: Gritsevich M.I.1,2,3, Lukashenko V.T.1,4, Turchak L.I.1
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Affiliations:
- Department of Computational Physics, Dorodnicyn Computing Centre
- Finnish Geodetic Institute
- Institute of Physics and Technology
- Faculty of Mechanics and Mathematics
- Issue: Vol 8, No 1 (2016)
- Pages: 1-6
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/200636
- DOI: https://doi.org/10.1134/S2070048216010026
- ID: 200636
Cite item
Abstract
In this paper we examine the possibility of using approximations of 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 of replacing the analytical solution with the combination of two elementary functions along one parameter. We provide estimates for the error of the proposed replacement. We investigate the magnitude of error in the function which arises in the approximation of meteoric observational data.
About the authors
M. I. Gritsevich
Department of Computational Physics, Dorodnicyn Computing Centre; Finnish Geodetic Institute; Institute of Physics and Technology
Author for correspondence.
Email: gritsevich@ccas.ru
Russian Federation, Moscow, 119333; Masala, 02431; Ekaterinburg, 620002
V. T. Lukashenko
Department of Computational Physics, Dorodnicyn Computing Centre; Faculty of Mechanics and Mathematics
Email: gritsevich@ccas.ru
Russian Federation, Moscow, 119333; Moscow
L. I. Turchak
Department of Computational Physics, Dorodnicyn Computing Centre
Email: gritsevich@ccas.ru
Russian Federation, Moscow, 119333