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Times of Existence of Technogenic Microparticles Injected into Near-Earth Space in a Geostationary Orbit

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Abstract

Based on results of numerical modeling, this paper shows for the first time the possibility of a long-term orbital existence of technogenic aluminum-oxide particles separating from the surface of an active geostationary satellite or a “debris” object “buried” in the vicinity of a geostationary orbit. It is shown that, under the conditions of low solar and geomagnetic activity, particles with radii exceeding a threshold value close to 1.1 μm have long orbital times of existence (more than 1 month). The times of orbital existence of technogenic particles with radii greater than the indicated threshold value virtually do not depend on the initial position of an injection point in a geostationary orbit and grow rapidly with increasing radius of a technogenic particle. So, the time of orbital existence of a particle with a radius of 3 μm is equal to 130 days, while for a particle with radius of 3.52 μm, this time is more than 2 years (!). The results of numerical experiments have shown that, under conditions of low solar and geomagnetic activity, submicron technogenic particles with radii less than 0.1 μm can also have long orbital existence times. The analysis of calculated data has shown that the long-lived particles with radii in the range from 0.01 to 0.1 μm have moved in the so-called “Keplerian” mode of motion. In addition, the possibility of long-term (more than 2 years) orbital existence of ultrasmall technogenic particles with radii less than 0.01 μm injected in a geostationary orbit was demonstrated. The analysis has shown that, in this case, the technogenic particle has moved in the “so-called magnetic–gravitational capture mode.”

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REFERENCES

  1. Klinkrad, H., Wegener, P., Wiedemann, C., et al., Modeling of the current space debris environment, Space Debris, Klinkrad, H., Ed., Berlin: Springer, 2006, pp. 59–114.

    Google Scholar 

  2. Kolesnikov, E.K. and Chernov, S.V., On the lifetime of microparticles in low circular Earth orbits, Cosmic Res., 1997, vol. 35, no. 2, pp. 206–207.

    ADS  Google Scholar 

  3. Kolesnikov, E.K., Chernov, S.V., and Yakovlev, A.B., On the lifetime of microparticles in geostationary orbit, Cosmic Res., 1999, vol. 37, no. 4, pp. 422–424.

    ADS  Google Scholar 

  4. Kolesnikov, E.K. and Chernov, S.V., On the sizes of long-lived particles of technogenic astrosol in the upper atmosphere and near space, Izbrannye trudy Mezhdunarodnoi nauchnoi konferentsii po mekhanike “Shestye Polyakhovskie chteniya” (Selected Works of the International Scientific Conference on Mechanics “Sixth Polyakhov Readings”), St. Petersburg, 2012, pp. 116–119.

  5. Horanyi, M., Houpis, H.L.F., and Mendis, D.A., Charged dust in the Earth’s magnetosphere, Astrophys. Space Sci., 1988, vol. 144, pp. 215–229.

    Article  ADS  Google Scholar 

  6. Merzlyakov, E.G., On the motion of submicron particles in low Earth orbits, Cosmic Res., 1996, vol. 34, no. 5, pp. 518–520.

    Google Scholar 

  7. Kolesnikov, E.K., Peculiarities of the orbital motion of submicron particles in the Earth’s plasmasphere, Cosmic Res., 2001, vol. 39, no. 1, pp. 92–97.

    Article  ADS  Google Scholar 

  8. Kolesnikov, E.K. and Chernov, S.V., Dimensions of microparticles trapped by the Earth’s magnetic field at various geomagnetic activity levels, Cosmic Res., 2003, vol. 41, no. 5, pp. 526–527.

    Article  ADS  Google Scholar 

  9. Yakovlev, A.B., Kolesnikov, E.K., and Chernov, S.V., Analytical research of the possibility of long orbital existence of submicron particles in the Earth’s plasmasphere by the methods of the KAM theory, J. Plasma Phys., 2017, vol. 83, p. 905830306. https://doi.org/10.1017/S0022377817000447

    Article  Google Scholar 

  10. Yakovlev, A.B., Kolesnikov, E.K., and Chernov, S.V., The restrictions on the assumption about conservations of parameters of orbit for submicron particles in the Earth’s plasmasphere in light of the corotational electric field, J. Plasma Phys., 2018, vol. 84, p. 905840613. https://doi.org/10.1017/S0022377818001241

    Article  Google Scholar 

  11. Yakovlev, A.B., Kolesnikov, E.K., and Chernov, S.V., Investigation of the influence of the field of corotation on the possibility of the long-term orbital existence of submicron particles in the plasmasphere of the Earth, Phys. Astron. Int. J., 2018, vol. 2, no. 1, pp. 48–53. http://medcraveonline.com/PAIJ/PAIJ-02-00047.pdf

  12. Bondarenko, E.B., Aver’yanov, P.V., and Zaitsev, S.E., Development of a simulation stand for the design and verification of onboard software in terms of spacecraft navigation, Doklad na 43-kh akademicheskikh Korolevskikh chteniyakh po kosmonavtike (Report at the 43rd Academic Korolev Readings on Astronautics), 2019.

  13. Green, B.D., et al., Optical environment surrounding the MSX spacecraft, Proceedings of the 7th International Symposium on Materials in Space Environment, Toulouse, France, 1997, pp. 153–160.

  14. Baranov, V.M., Polikarpov, N.A., Novikova, N.D., et al., Main results of the Biorisk experiment on the International Space Station, Aviakosm. Ekol. Med., 2006, vol. 40, no. 3, pp. 3–9.

    Google Scholar 

  15. Tsygankov, O.S., Grebennikova, T.V., Deshevaya, E.A., et al., Studies of a finely dispersed medium on the outer surface of the International Space Station in the Test experiment: Viable microbiological objects discovered, Kosm. Tekh. Tekhnol., 2015, vol. 8, no. 1, pp. 31–41.

    Google Scholar 

  16. Evtushenko, Yu.G., Krylov, I.A., Merzhanova, R.F., et al., Movement of artificial satellites in the gravitational field of the Earth, Matematicheskie metody v dinamike kosmicheskikh apparatov (Mathematical Methods in Spacecraft Dynamics), Moscow: Vychisl. Tsentr Akad. Nauk SSSR, 1967.

    Google Scholar 

  17. Alfvén, H. and Falthammar, K.G., Cosmical Electrodynamics, Oxford: Clarendon Press, 1963.

    MATH  Google Scholar 

  18. Thébault, E., et al., International geomagnetic reference field: the 12th generation, Earth, Planets Space, 2015, vol. 67, no. 1, pp. 1–19.

    Article  MathSciNet  Google Scholar 

  19. Hapgood, M.A., Space physics coordinate transformations: a user guide, Planet. Space Sci., 1992, vol. 40, no. 5, pp. 711–717.

    Article  ADS  Google Scholar 

  20. Bohren, C. and Huffman, D., Absorption and Scattering of Light by Small Particles, New York: Wiley-VCH, 1998.

    Book  Google Scholar 

  21. Kolesnikov, E.K., Dynamic models of the propagation of charged particle flows in space plasma, Doctoral (Phys.–Math.) Dissertation, St. Petersburg: St.-Petersb. State Univ., 1998.

  22. Picone, J.M., Hedin, A.E., Drob, D.P., et al., NRLMSISE-00 empirical model of the atmosphere: Statistical comparisons and scientific issues, J. Geophys. Res., 2002, vol. 107, no. A12, pp. SIA 15-1–SIA 15-16.

  23. Kanal, M., Theory of current collection of moving spherical probes, Sci. Rep. JS-5. Space Physics Research Laboratory, Ann Arbor, MI: Univ. of Michigan, 1962.

  24. Whipple, E.C., Potentials of surfaces in space, Rep. Prog. Phys., 1981, vol. 44, pp. 1197–1250.

    Article  ADS  Google Scholar 

  25. Katz, I., Parcs, D.E., Mandell, M.J., et al., A three dimensional dynamic study of electrostatic charging in materials, NASA Report CR-135256, Washington, DC: Natl. Aeronaut. Space Admin., 1977.

  26. Draine, B.T. and Salpeter, E.E., On the physics of dust grains in hot gas, Astrophys. J., 1979, vol. 231, pp. 77–94.

    Article  ADS  Google Scholar 

  27. Prokopenko, S.M.L. and Laframboise, J.G., High-voltage differential charging of geostationary spacecraft, J. Geophys. Res., 1980, vol. 85, no. A8, pp. 4125–4131.

    Article  ADS  Google Scholar 

  28. Grard, R.J.L., Properties of the satellite photoelectron sheath derived from photoemission laboratory measurements, J. Geophys. Res., 1973, vol. 78, no. 16, pp. 2885–2906.

    Article  ADS  Google Scholar 

  29. Elinson, M.I. and Vasil’ev, G.F., Avtoelektronnaya emissiya (Autoelectronic Emission), Moscow: Fizmatgiz, 1958.

  30. Bilitza, D., Altadill, D., Truhlik, V., et al., International Reference Ionosphere 2016: From ionospheric climate to real-time weather predictions, Space Weather, 2017, vol. 15, pp. 418–429.

    Article  ADS  Google Scholar 

  31. Hill, J.R. and Whipple, E.C., Charging of large structures in space with application to the solar sail spacecraft, J. Spacecr. Rockets, 1985, vol. 22, no. 3, pp. 245–253.

    Article  ADS  Google Scholar 

  32. Lyons, L.R. and Williams, D.J., Quantitative Aspects of Magnetospheric Physics, Dordrecht, Holland: D. Reidel Publishing, 1987.

    Google Scholar 

  33. Garrett, H.B. and DeForest, S.E., Time-varying photoelectron flux effects on spacecraft potential at geosynchronous orbit, J. Geophys. Res., 1979, vol. 84, no. A5, pp. 2083–2088.

    Article  ADS  Google Scholar 

  34. Kolesnikov, E.K. and Chernov, S.V., On the possibility of long-term orbital existence of nanoparticles of matter with low photoemission yield in the Earth’s plasmasphere, Cosmic Res., 2015, vol. 53, no. 5, pp. 354–359.

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. St. Petersburg State University, 199034, St. Petersburg, Russia

    E. K. Kolesnikov & S. V. Chernov

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  1. E. K. Kolesnikov
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  2. S. V. Chernov
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Correspondence to E. K. Kolesnikov.

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Translated by Yu. Preobrazhensky

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Kolesnikov, E.K., Chernov, S.V. Times of Existence of Technogenic Microparticles Injected into Near-Earth Space in a Geostationary Orbit. Cosmic Res 60, 275–281 (2022). https://doi.org/10.1134/S0010952522040050

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  • DOI: https://doi.org/10.1134/S0010952522040050

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