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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2014 Volume 14, Issue 4(1), Pages 464–469 (Mi isu536)

Mechanics

Calculation of Meteoroids Masses by Approximating the Trajectories

V. T. Lukashenkoab

a Moscow State University, Department of Mechanics and Mathematics, Leninskie Gori, GSP-1, Moscow, 119991, Russia
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow

Abstract: At processing meteor observations the outdated and insufficiently reliable methods are commonly used. In particular, the finding outward-atmospheric meteoroid masses comes from the luminosity without providing any estimates of accuracy for calculations. However, in recent years a variety of new dynamics methods has been developed that quite good describe a motion of meteoroids in atmosphere, as well as changing their parameters. In this article, these methods were used by the author to obtain outward-atmospheric masses of meteoroids from the data of European Fireball Network. It is shown that photometric estimates of European observers are much high than actually possible outward-atmospheric meteroids masses. In addition, the author proposes an approximation of trajectories by elementary functions that allows to simplify and speed up calculations.

Key words: meteor, calculation, mass, trajectory, approximation, bolide, European Fireball Network, elementary functions.

UDC: 523.68, 519.65

DOI: 10.18500/1816-9791-2014-14-4-464-469



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