Abstract—
In this study the possible region of the impact of the dangerous Apophis asteroid with Earth in 2036 according to the asteroid orbit of 2005 is determined and studied. Algorithms are developed to searching the entire probable set of Apophis asteroid trajectories falling into Earth using Monte Carlo and gradient descent methods. For this set, the search was realized for several probable families of collisions with Earth in 2036 asteroid trajectories corresponding to subsets of the perigee distance of the Apophis orbit from the minimum possible distance, ~2069 km, to the maximum corresponding to touching Earth’s surface, ~6376 km. A mapping of the entire set of trajectories falling onto Earth’s surface was obtained, as well as a collisional band was also constructed on the world map. The features of this collisional path and the properties of collision trajectories of Apophis were studied. A comparison of the results of this study with others is given.
Similar content being viewed by others
REFERENCES
Yagudina, E.I. and Shor, V.A., The orbit of the near-Earth asteroid (99942) Apophis 2004 MN4 from analysis of optical and radar observations, Vserossiiskaya konferentsiya “Asteroidno–kometnaya opasnost’-2005 (AKO-2005),” Sankt-Peterburg, 3–7 oktyabrya 2005 g. Materialy konferentsii (Proceedings of the All-Russian Conference “Asteroid–Comet Hazard (ACH-2005)”, St. Petersburg, October 3–7, 2005), St. Petersburg: IPA RAS, 2005, pp. 355–358.
Ivashkin, V.V. and Stikhno, C.A., An analysis of the correction problem for the near-earth asteroid (99942) Apophis 2004 MN4, 2007 Planetary Defense Conference, G. Washington University, Washington, D.C., USA, March 5–8,2007.
Ivashkin, V.V. and Stikhno, K.A., Analysis of the problem of orbit correction of the asteroid Apophis, Okolozemnaya astronomiya 2007, Trudy Mezhdunarodnoi konferentsii, 3–7 sent.2007, Terskol (Near-Earth Astronomy 2007, Proceedings of International Conference, 3–7 September, 2007, Terskol), Nal’chik: KBNTs RAN, 2008, pp. 44–48.
Ivashkin, V.V. and Stikhno, K.A., On the problem of orbit correction for the near-Earth (99942) asteroid Apophis, Dokl. Phys., 2008, vol. 53, no. 4, pp. 228–232.
Ivashkin, V.V. and Stikhno, K.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., Stikhno, K.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, no. 8, pp. 387–391.
Sokolov, L.L., Bashakov, A.A., Borisova, T.P., et al., Impact trajectories of the asteroid Apophis in the 21st century, Sol. Syst. Res., 2012, vol. 46, no. 4, pp. 291–300.
Sokolov, L.L. and Kuteeva, G.A., Prediction of possible collisions of asteroid Apophis after adjustment of its orbit, Vestn. S.-Peterb. Univ., Ser. 1: Mat., Mekh.,Astron., 2015, vol. 2, no. 1, pp. 148–156.
Schweickart, R., Chapman, C., Durda, D., et al., Threat Characterization: Trajectory Dynamics (White Paper 39), B612 Foundation, 2006. https://www.re-searchgate.net/ publication/2176734_Threat_Characterization_Trajectory_ Dynamics.
Gennery, D.B., Scenarios for dealing with Apophis, 2007 Planetary Defense Conference, Washington, D.C., 2007.
Giorgini, J.D., Benner, L.A.M., Ostro, S.J., et al., Predicting the Earth encounters of (99942) Apophis, Icarus, 2008, vol. 193, no. 1, pp. 1–19.
Chesley, S.R., Potential impact detection for near-Earth asteroids: The case of 99942 Apophis (2004 MN4), Proc. 229th IAU Symp.2005, Mello, S., Lazaro, D., and Fernandes, J., Eds., New York: Cambridge Univ. Press, 2006, pp. 215–228.
Wlodarczyk, I., The potentially dangerous asteroid (99942) Apophis, Mon. Not. R. Astron. Soc., 2013, vol. 434, pp. 3055–3060.
GALSPACE, Small bodies of the Solar System, collision of the Earth with an asteroid: the problem of Apophis. http://galspace.spb.ru/index129.html.
Wikipedia, B612 Foundation. https://en.wikipedia.org/ wiki/B612_Foundation.
Ferrier, L., Verant, J.-L., and Moschetta, J.-M., Aerothermodynamical study for the entry of an Apophis-like asteroid, 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, Aerospace Sciences Meetings, AIAA 2011-1037.
Stepan’yants, V.A. and L’vov, D.V., Efficient algorithm for solving the system of differential equations of motion, Mat. Model., 2000, vol. 12, no. 6, pp. 9–14.
Matematika v tekhnicheskom universitete (Mathematics in Technological Universities), Zarubin, V.S., Ed., vol. 16: Teoriya veroyatnostei (Theory of Probabilities), Moscow: MGTU im N.E. Baumana, 1999.
Kaplan, G.H., The IAU resolutions on astonomical reference systems, time scales, and Earth rotation models, Explanation and implementation, U.S. Naval Observatory circular no. 179, Washington, D.C., 2005.
Aksenov, E.P. and Chazov, V.V., Model’ dvizheniya ISZ. Glavnaya problema. Osnovnye algoritmy (ASE Motion Model. The Main Problem. Basic Algorithms), Moscow: GAISh MGU, 2011.
Adzhyan, A.P., Akim, E.L., Alifanov, O.M., et al., Mashinostroenie. Entsiklopediya (Mechanical Engineering), vol. 4-22: Raketno–kosmicheskaya tekhnika (Rocket and Space Equipment), Legostaev, V.P., Ed., Moscow: Mashinostroenie, 2012, pp. 15–26.
Zharov, V.E., Sfericheskaya astronomiya (Spherical Astronomy), Moscow: Fryazino, 2006.
Krylov, V.I., Koordinatno–vremennye preobrazovaniya v geodezii: uchebnoe posobie (Coordinate–Time Transforms in Geodesy: A Textbook), Moscow: MIIGAiK, 2014.
Akim, E.L. and Eneev, T.M., Determination of spacecraft motion parameters from trajectory measurements, Kosm. Issled., 1963, vol. 1, no. 1, pp. 5–50.
Abalkin, V.K., Aksenov, E.P., Grebennikov, E.A., et al., Spravochnoe rukovodstvo po nebesnoi mekhanike i astrodinamike (Reference Book of Celestial Mechanics and Astrodynamics), Moscow: Nauka, 1976.
Apophis Path of Risk in 2036 with Precession and Nutation. https://drive.google.com/open?id=1VXX1dxJO2e6hn51FFTVf_wbk9gs&usp=sharing.
ACKNOWLEDGMENTS
We are grateful to V.V. Chazov, Dr. Sci. (Phys.–Math.), V.A. Stepanyants, Cand. Sci. (Phys.–Math.), and Yu.P. Kuleshov, an employee of AO Cometa, for discussing the paper and providing advice.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by N. Topchiev
Rights and permissions
About this article
Cite this article
Ivashkin, V.V., Guo, P. & Stikhno, C.A. Study of the Characteristics of the Possible Region of the Apophis Asteroid Impact with Earth in 2036. Cosmic Res 58, 21–32 (2020). https://doi.org/10.1134/S0010952520010049
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0010952520010049