Abstract
Analysis is conducted of the asteroid Apophis’ approaches to the Earth on potential collision trajectories. Close approaches, especially in 2051, allow the use of the gravity assist effect to deflect the asteroid at small energy costs. Estimates are obtained for the change in Apophis’ velocity after 2029, which are required to divert the object and avoid its main possible collisions with the Earth.
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REFERENCES
Akimov, V.A., Glazachev, V.O., Emel’yanenko, V.V., Kramintsev, A.P., Naroenkov, S.A., Popova, O.P., Puchkov, V.A., Rykhlova, L.V., Savel’ev, M.I., Svettsov, V.V., Trubetskaya, I.A., Shuvalov, V.V., Shugarov, A.S., and Shustov, B.M., Asteroidno-kometnaya opasnost': Strategiya protivodeistviya (Asteroid-Comet Hazard: A Strategy of Counteraction), Moscow: Vseross. Nauchno-Issled. Inst. Probl. Grazhdanskoi Oborony i Chrezvychainykh Situatsii MChS Ross., 2015.
Aleksandrova, A.G., Galushina, T.Yu., Prishchepenko, A.B., Kholshevnikov, K.V., and Chechetkin, V.M., The preventive destruction of a hazardous asteroid, Astron. Rep., 2016, vol. 60, no. 6, pp. 613–621.
Artem’eva, N.A., Bakanas, E.S., Barabanov, S.I., Vityazev, A.V., Volkov, V.A., Glazachev, V.O., Degtyar’, V.G., Emel’yanenko, V.V., Ivanov, B.A., Kochetova, O.M., Kulikova, N.V., Medvedev, Yu.D., Naroenkov, S.A., Nemchinov, I.V., Pechernikova, G.V., et al., Asteroidnaya opasnost’: Vchera, segodnya, zavtra (Asteroid Hazard: Yesterday, Today, and Tomorrow), Moscow: Fizmatlit, 2013.
Chesley, S.R., Asteroid impact hazard assessment with Yarkovsky effect, 2011 IAA Planet. Defense Conf.: From Threat to Action, Bucharest, 2011.
Chesley, S.R., Potential impact detection of near-Earth asteroids: The case of 99942 (2004 MN4), Asteroids, Comets, Meteors: Proc. IAU Symposium 229th, 2005, Cambridge: Cambridge Univ. Press, 2006, pp. 215–228.
Degtyar’, V.G. and Volkov, V.A., Raketnaya kontseptsiya sistemy protivoasteroidnoi zashchity Zemli (The Missile Concept of the Earth Anti-Asteroid Defense System), Moscow: Mashinostroenie, 2013.
Eismont, N.A., Boyarskii, M.N., Ledkov, A.A., Nazirov, R.R., Dunham, D.W., and Shustov, B.M., On the possibility of the guidance of small asteroids to dangerous celestial bodies using the gravity-assist maneuver, Sol. Syst. Res., 2013, vol. 47, no. 4, pp. 325–333.
El’kin, A.V. and Sokolov, L.L., On consecutive passages of NEAs near the Earth, Vseross. konf. s mezhdunarodnym uchastiem “Asteroidnaya opasnost' - 95, 23–25 maya 1995 goda. Tez. dokl. (All-Russian Conf. with International Participation "Asteroid Hazard-95,” May 23–25, 1995. Abstracts), 1995, vol. 2, p. 41.
Everhart, E., Implicit single-sequence methods for integrating orbits, Celest. Mech., 1974, vol. 10, pp. 35–55.
Farnocchia, D., Chesley, R.S., Chodas, P.W., et al., Yarkovsky-driven impact risk analysis for asteroid (99942) Apophis, 2013. arXiv:1301.1607v2 [astro-ph.EP]
Folkner, W.M., Williams, J.G., Boggs, D.H., Park, R.S., and Kuchynka, P., The planetary and lunar ephemeris DE430 and DE431, Interplanet. Network Progress Report, 2014, vol. 42-196, pp. 1–81.
Ivashkin, V.V. and Stikhno, C.A., On the prevention of a possible collision of asteroid Apophis with the Earth, Sol. Syst. Res., 2009, vol. 43, no. 6, pp. 483–496.
Ivashkin, V.V. and Stikhno, C.A., On the problem of orbit correction for the near-Earth (99942) asteroid Apophis, Dokl. Phys., 2008, vol. 53, pp. 228–232.
Ivashkin, V.V. and Stikhno, C.A., On the use of the gravitational effect for orbit correction of the asteroid Apophis, Dokl. Phys., 2009, vol. 54, pp. 101–105.
Ivashkin, V.V., Stikhno, C.A., and Guo, P., On the structure of the set of probable Earth-impact trajectories for the asteroid Apophis in 2036, Dokl. Phys., 2017, vol. 62, pp. 387–391.
Ledkov, A.A., Eismont, N.A., Boyarskii, M.N., Fedyaev, K.S., and Nazirov, R.R., Control of the motion of near-Earth asteroids, Astron. Lett., 2015, vol. 41, pp. 67–83.
Loucks, M.E., Carrico, J.P., Lu, E.T., and Chapman, C.R., Asteroid deflection requirements as a function of warning time, Asteroids, Comets, Meteors 2017, Montevideo, 2017.
Petrov, N.A., Vasil’ev, A.A., Kuteeva, G.A., and Sokolov, L.L., On the trajectories of asteroid encounters with the Earth for 2015 RN35 and Apophis, Sol. Syst. Res., 2018, vol. 52, no. 4, pp. 326–337.
Shor, V.A., Chernetenko, Yu.A., Kochetova, O.M., and Zheleznov, N.B., On the impact of the Yarkovsky effect on Apophis’ orbit, Sol. Syst. Res., 2012, vol. 46, no. 2, pp. 119–129.
Shustov, B.M., Rykhlova, L.V., Kuleshov, Yu.P., Dubov, Yu.N., Elkin, K.S., Veniaminov, S.S., Borovin, G.K., Molotov, I.E., Naroenkov, S.A., Barabanov, S.I., Emel’yanenko, V.V., Devyatkin, A.V., Medvedev, Yu.D., Shor, V.A., and Kholshevnikov, K.V., A concept of a space hazard counteraction system: Astronomical aspects, Sol. Syst. Res., 2013, vol. 47, no. 4, pp. 302–314.
Sokolov, L.L. and Kuteeva, G.A., Possible collisions of the asteroid Apophis after clarifying its orbit, Vestn. S.-Peterb. Univ., Ser. 1, 2015, vol. 2, no. 1, pp. 148–156.
Sokolov, L.L., Bashakov, A.A., and Pitjev, N.P., Peculiarities of the motion of asteroid 99942 Apophis, Sol. Syst. Res., 2008, vol. 42, no. 1, pp. 18–27.
Sokolov, L.L., Bashakov, A.A., Borisova, T.P., Petrov, N.A., Pitjev, N.P., and Shaidulin, V.S., Impact trajectories of the asteroid Apophis in the 21st century, Sol. Syst. Res., 2012, vol. 46, no. 4, pp. 291–300.
Sokolov, L.L., Borisova, T.P., Vasil’ev, A.A., and Petrov, N.A., Properties of collision trajectories of asteroids with the earth, Sol. Syst. Res., 2013, vol. 47, no. 5, pp. 408–413.
Sokolov, L.L., Petrov, N.A., Eskin, B.B., and Kuteeva, G.A., Approaches of dangerous asteroids to the Earth, XLIII Akademicheskie chteniya po kosmonavtike, 29 yanvarya - 1 fevralya 2019 g. Sb. tezisov (XLIII Academic Readings on Cosmonautics, January 29 – February 1, 2019. Abstracts), Moscow: Mosk. Gos. Tekh. Univ. im. N.E. Baumana, 2019, vol. 1, pp. 120–121.
Sokolov, L.L., Petrov, N.A., Vasil’ev, A.A., Kuteeva, G.A., Shmyrov, A.S., and Eskin, B.B., On the possibility of deflecting an asteroid from collision with the Earth using the kinetic method, Sol. Syst. Res., 2018, vol. 52, no. 4, pp. 338–346.
Standish, E.M., JPL planetary and lunar ephemerides, DE405/LE405, in Interoffice Memorandum JPL IOM 312. F-98-048, 1998.
Wie, B., Zimmerman, B., Llyzhoft, J., and Vardaxis, G., Planetary defense mission concepts for disruping/pulverizing hazardous asteroids with a short warning time, Astrodynamics, 2017, vol. 1, no. 1, pp. 3–21. https://doi.org/10.1007/s42064-017-0002-9
Yeomans, D.K., Bhaskaran, S., Broschart, S.B., Chesley, S.R., Chodas, P.W., Sweetser, T.H., and Schweickart, R., Deflecting a hazardous near-Earth object, 1 IAA Planet. Defense Conf.: Protecting Earth from Asteroids, Granada, 2009.
Funding
This work was supported by the Russian Science Foundation, project no. 18-12-00050. This work was carried out using the computational cluster capabilities of the Computing Center, Science Park Resource Center, St. Petersburg State University.
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Sokolov, L.L., Kuteeva, G.A., Petrov, N.A. et al. On the Characteristics of Singular Trajectories of the Asteroid Apophis and the Possibility of Deflecting It to Avoid Collisions with the Earth. Sol Syst Res 55, 259–265 (2021). https://doi.org/10.1134/S0038094621010093
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DOI: https://doi.org/10.1134/S0038094621010093