Abstract
The possibility of a contactless capture of the conductive space-debris objects (SDOs) using electromagnetic induction based on Faraday’s law of induction and Lenz’s law is analyzed. It is assumed that the spacecraft (SC) for capturing SDOs is equipped with a toroidal coil, which generates a sufficiently strong magnetic field and induces it on the SDO approaching the SC. The dynamics of the orbital motion of the SDO relative to the SC is modeled using the Clohessy–Wiltshire equations and studied numerically. The proposed method for the contactless electromagnetic capture of the conductive SDO can be used to move the SDO to a target orbit—in particular, to a graveyard orbit. The feasibility of the method is discussed based on modeling results. Directions for improvement and development of the method are identified.
Similar content being viewed by others
REFERENCES
NASA ODPO. Debris Measurements. https://orbitaldebris.jsc.nasa.gov/. Accessed August 28, 2021.
A. Horstmann, C. Kebschull, S. Műller, E. Gamper, S. Hesselbach, K. Soggeberg, M. K. Ben Larbi, M. Becker, J. Lorenz, C. Wiedemann, and E. Stoll, “Survey of the current activities in the field of modeling the space debris environment at TU Braunschweig,” Aerospace 5, 37 (2018). https://doi.org/10.3390/aerospace5020037
G. P. Sutton and O. Biblarz, Rocket Propulsion Elements, 7th ed. (Wiley, New York, 2001).
G. N. Tsitsikyan, “Mutual inductance and forces of interactions of coaxial circuits, solenoids and coils,” Izv. Akad. Nauk SSSR, Energ. Transp., No. 6, 90–99 (1985).
K. P. Feoktistov, Space Technology. Development Prospects (Mosk. Gos. Tekh. Univ. im. N. E. Baumana, Moscow, 1997) [in Russian].
E. Y. Choueiri, “New dawn for electric rockets,” Sci. Am. 300 (2), 58–65 (2009).
J. Walker and W. M. Wells, Drag Force on a Conductive Spherical Drop in a Nonuniform Magnetic Field (Oak Ridge National Laboratory, Oak Ridge, Tenn., 1979). https://doi.org/10.2172/5872573.
D. J. Griffiths, Introduction to Electrodynamics, 4th ed. (Pearson, Boston, Mass., 2013).
L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, 2nd ed. (Nauka, Moscow, 1982; Pergamon, Oxford, 1984).
C. G. Kluever, Space Flight Dynamics, 2nd ed. (Wiley, 2018), in Ser.: Aerospace Series.
J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, Hoboken, N.J., 1999).
Funding
This work was supported by the Russian Foundation for Basic Research, project no. 19-01-00146-a.
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
To cite this work: Patel, I.K. and Tikhonov, A.A., “Contactless Capture and Removal of Space Debris Objects Using Electromagnetic Induction.” Vestnik of St. Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8(66), no. 4, рр. 670–682. (In Russian.) https://doi.org/10.21638/spbu01.2021.413.
Additional information
Translated by O. Pismenov
About this article
Cite this article
Patel, I.K., Tikhonov, A.A. Contactless Capture and Removal of Space Debris Objects Using Electromagnetic Induction. Vestnik St.Petersb. Univ.Math. 54, 418–427 (2021). https://doi.org/10.1134/S1063454121040142
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063454121040142