The effect of collimation on the dynamics of two meteoroid fragments of the same size
Authors: Lukashenko V.T.
Published in issue: #7(103)/2020
DOI: 10.18698/2308-6033-2020-7-1994
Category: Mechanics | Chapter: Mechanics of Liquid, Gas, and Plasma
The article analyzes the problem of the supersonic flight of two meteoroid fragments of the same size in the framework of two-dimensional plane formulation using the multigrid method for modeling the dynamics of a system of bodies. Initially, the bodies followed each other with a slight displacement of the body located behind, perpendicular to the direction of motion. The variable parameter was the density of the body located behind. Collisions between bodies were calculated according to the formulas of perfectly inelastic impact without adherence of the bodies. It is shown that there are three different modes of system dynamics: spreading with forcing the leading body in the transverse direction, the oscillations of the lagging body in the trace of the leading body, and the gradual lagging the body located behind from the leading body. Depending on its density oscillations of the lagging body are either diverging in nature with its ejection on the head shock wave from the leading body, or of a damped nature with the ejection into the region of the far trace of the leading body. The configuration of the joint flight of bodies directly one after another is not realized.
References
[1] Stulov V.P., Mirsky V.N., Vislyy A.I. Aerodinamika bolidov [Aerodynamics of bolides]. Moscow, Fizmatlit Publ., 1995, 240 p.
[2] Krinov E.L. Zheleznyy dozhd [The iron rain]. Moscow, Nauka Publ., 1981, 192 p.
[3] Borovicka J., Kalenda P. Meteoritics & Planetary Science, 2003, vol. 38, no. 7, pp. 1023–1043.
[4] Borovicka J., Toth J., Igaz A., Spurny P., Kalenda P., Haloda J., Svoren J., Kornos L., Silber E., Brown P., Husarik M. Meteoritics & Planetary Science, 2013, vol. 48, no. 10, pp. 1757–1779.
[5] Barri N.G. Astronomicheskiy vestnik. Issledovaniya solnechnoy sistemy — Solar System Research, 2010, vol. 44 (1), pp. 55–59.
[6] Marwege A., Willems S., Gulhan A., Aftosmis M.J., Stern E.C. Journal of Spacecraft and Rockets, 2018, vol. 55, no. 5 pp. 1166–1180.
[7] Register P.J., Aftosmis M.J., Stern E.C., Brock J.M., Seltner P.M., Willems S., Guelhan A., Mathias D.L. Icarus, 2020, vol. 337, article 113468, pp. 1–20.
[8] Barri N.G. Doklady Akademii Nauk (Reports of the Academy of Sciences), 2010, vol. 434, no. 5, pp. 620–621.
[9] Lukashenko V.T., Maksimov F.A. Inzhenernyy zhurnal: nauka i innovatsii — Engineering Journal: Science and Innovation, 2017, iss. 9. DOI: 10.18698/2308-6033-2017-9-1669
[10] Lukashenko V.T., Maksimov F.A. Inzhenernyy zhurnal: nauka i innovatsii — Engineering Journal: Science and Innovation, 2019, iss. 6. DOI: 10.18698/2308-6033-2019-6-1884
[11] Zhdan I.A., Stulov V.P., Stulov P.V. Doklady Akademii Nauk (Reports of the Academy of Sciences), 2004, vol. 396, no. 2, pp. 191–193.
[12] Zhdan I.A., Stulov V.P., Stulov P.V. Doklady Akademii Nauk (Reports of the Academy of Sciences), 2005, vol. 404, no. 4, pp. 486–490.
[13] Andrushchenko V.A., Lukashenko V.T., Maksimov F.A., Murashkin I.V., Syzranova N.G., Shevelev Yu.D. Zhurnal vychislitelnoy matematiki i matematicheskoi fiziki — Computational Mathematics and Mathematical Physics, 2018, vol. 58, no. 8, pp. 1294–1308.
[14] Maksimov F.A. Kompyuternye issledovaniya i modelirovanie — Computer Research and Modeling, 2013, vol. 5, no. 6, pp. 969–980.
[15] Panovko Ya.G. Vvedenie v teoriu mehanicheskogo udara [Introduction to the theory of mechanical impact]. Moscow, Nauka Publ., 1977, 224 p.
[16] Triguba A.M., Shtager E.V. Sovremennye naukoemkie tekhnologii — Modern High Technologies, 2014, no. 5-1, pp. 91–93.