Simulation of collisions between two identical meteoroid fragments arranged one behind the other
To calculate the dynamics of a system of meteoroid fragments, a simulation method has been developed with an algorithm for calculating collisions between individual bodies. The algorithm for calculating collisions allows one to simulate absolutely elastic, inelastic and absolutely inelastic impacts between individual bodies with the help of a given coefficient of the impact recovery. The impact recovery coefficient can be set separately for each collision based on the known characteristics of the colliding bodies. We carried out a numerical study of the problem of collisions between identical meteoroid fragments initially located one behind the other along the direction of motion. The study shows that bodies will periodically collide in the case of absolutely elastic impact; there is an equilibrium maximum distance between the bodies to which the system will evolve. In the case of an inelastic impact, the distance between the bodies decreases over time; the configuration evolves to the joint flight of the bodies located one right after another. The problem of an absolutely inelastic collision between the identical bodies located within a small initial distance and with a small deviation in position of the backward body shows that the location of the bodies directly behind each other is unstable to small oscillations and is not implemented numerically at large times
 Stulov V.P., Mirsky V.N., Visly A.I. Aerodinamika bolidov [Aerodynamics of bolides]. Moscow, Nauka Publ., 1995, 240 p.
 Krinov E.L. Zheleznyi dozhd [Iron rain]. Moscow, Nauka Publ., 1981, 192 p.
 Zhdan I.A., Stulov V.P., Stulov P.V. Doklady Akademii nauk — Doklady Physics, 2004, vol. 49 (5), pp. 315–317.
 Zhdan I.A., Stulov V.P., Stulov P.V. Doklady Akademii nauk — Doklady Physics, 2005, vol. 50, no. 10, pp. 514–518.
 Boiko V.M., Klinkov K.V., Poplavskii S.V. Collective bow shock ahead of a transverse system of spheres in a supersonic flow behind a moving shock wave. Fluid Dynamics, 2004, vol. 39, no. 2, pp. 330–338.
 Barri N.G. Vestnik Moskovskogo universiteta. Ser. 1. Matematika. Mehanika — Moscow Univ. Mech. Bull., 2005, vol. 60 (4), pp. 20–22.
 Andreyev A.A., Kholodov A.S. Zhurnal vychislitelnoy matematiki i matematicheskoy fiziki — USSR Computational Mathematics and Mathematical Physics, 1989, vol. 29 (1), pp. 142–147.
 Barri N.G. Astronomicheskiy vestnik — Solar System Research, 2010, vol. 44 (1), pp. 55–59.
 Andruschenko V.A., Syzranova N.G., Shevelev Yu.D. Kompyuternye issledovaniya i modelirovanie — Computer Research and Modeling, 2013, vol. 5, no. 6, pp. 927–940.
 Lukashenko V.T., Maksimov F.A. Inzhenernyy zhurnal: nauka i innovatsii —Engineering Journal: Science and Innovation, 2017, no. 9 (69). DOI: 10.18698/2308-6033-2017-9-1669
 Barri N.G. Doklady Akademii nauk — Doklady Physics, 2010, vol. 434, no. 5, pp. 620–621.
 Panovko Ya.G. Vvedenie v teoriyu mehanicheskogo udara [Introduction to the theory of mechanical impact]. Moscow, Nauka Publ., 1977, 224 p.
 Maksimov F.A. Kompyuternye issledovaniya i modelirovanie — Computer Research and Modeling, 2013, vol. 5 (6), pp. 969–980.
 Kochetkov A.V., Fedotov P.V. Internet-zhurnal «Naukovedenie» (Internet journal Science studies), 2013, no. 5. Available at: https://naukovedenie.ru/PDF/110tvn513.pdf
 Triguba A.M., Shtager E.V. Sovremennye naukoemkie tehnologii — Modern high technologies, 2014, no. 5-1, pp. 91–93.