Научная электронная библиотека ULRICH'S Periodicals Directory

Сибирский государственный университет
науки и технологий имени академика М.Ф. Решетнева

Сибирский аэрокосмический журнал
ISSN 2712-8970 (Print) ISSN 2782-5760 (on-line)

Сведения об образовательной организации

UDK 521.35; 523.628.4
DETERMINATION OF THE TRAJECTORY OF MOTION OF CELESTIAL BODIES IN THE EARTH'S ATMOSPHERE
Yu. S. Bondarenko, Yu. D. Medvedev
Institute of Applied Astronomy of Russian Academy of Sciences 10, Kutuzova nab., St. Petersburg, 191187, Russian Federation E-mail: bondarenko@ipa.nw.ru
The authors have developed and realized the method, allowing to determine the trajectory of motion of celestial bodies in the Earth’s atmosphere, to determine the parameters of heliocentric orbit of celestial bodies prior to its entry into the atmosphere, as well as to estimate major factors of damage due the blast wave. The method researches several scenarios due to the passage of the object in the Earth’s atmosphere. In case the object passed through the atmosphere, without colliding with the Earth, the moments of an entrance and exit of a body from the Earth’s atmosphere are determined. The object can collide with the Earth without breakup. In this case, the differential equations are integrated until the celestial body reaches the Earth’s surface. It was assumed that the object burns in the atmosphere, if its radius becomes less than 1 cm. The case when object breaks up during the motion and only the fragments reach the Earth’s surface was considered separately. The developed method has been implemented in the software package. One of the advantages of the package is the ability to save the results of calculations in the .kml format, allowing to display three-dimensional geospatial data in the “Google Earth” as well as two-dimensional data in “Google” maps. In our case these data are the flight trajectory and its projection to the Earth’s surface, the places of meteorite break up and air burst, the impact areas of the fragments, the overpressure areas due the blast wave, as well as other useful information. Using this method the motion of Chelyabinsk and 2008 TC3 meteorites were simulated. It was shown that heliocentric orbital elements of the Chelyabinsk and 2008 TC3 meteorites before entering the Earth’s atmosphere calculated using the developed software are close to the parameters obtained by other authors, the trajectory parameters are in good agreement with the initial data within their accuracy. Estimated impact areas of meteorites fragments are only in few kilometers from the recovered one. The overpressure areas due the blast wave in case of "Chelyabinsk" meteorite coincide with the real data.
celestial body, asteroid, meteorite, heliocentric orbit, trajectory of motion, Earth’s atmosphere, air blast, blast wave, impact area.
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Bondarenko Juri Sergeevich – Cand. Sc., Senior researcher, Institute of Applied Astronomy RAS. E-mail: bondarenko@ipa.nw.ru

Medvedev Yuri Dmitrijevich – Dr. Sc., Professor, head of the laboratory, Institute of Applied Astronomy RAS. E-mail: bondarenko@ipa.nw.ru