Abstract
Consideration was given to the problem of relative positioning with the use of alternating magnetic field. The problem was shown to be solvable using a system of three magnetic dipoles emitting magnetic field at different frequencies. Ambiguity of its solution was discussed, and ways to resolve it were proposed. An algorithm for relative positioning based on the solution of this problem was proposed. Error equations of the positioning algorithm and the results of their analysis were presented. Some issues of practical application of this algorithm were discussed.
Similar content being viewed by others
References
Raab, F.H., Remote Object Position Locater, USA Patent 405 488, G01S 3/02, The Austin Company, 1977.
Purcell, E.M., Electricity and Magnetism, New York: McGraw-Hill, 1965, 1st ed. Translated under the title Elektrichestvo i magnetizm. Berkleevskii kurs fiziki, Moscow: Nauka, 1975, vol.2.
Zhelamskii, M.V., First Domestic Magnetic Trekker for Target Designation, Datchiki Sist., 2011, no. 1, pp. 9–15.
Smith, R.S., Tracking the Transmitting-Receiving Offset in Fixed-wing Transient EM Systems: Methodology and Application, Exploration Geophys., 2001, no. 32, pp. 14–19.
Pavlov, B.V., Volkovitskii, A.K., and Karshakov, E.V., Low-frequency Electromagnetic System of Relative Navigation and Orientation, Giroskop. Navigats., 2010, no. 1, pp. 3–11.
Volkovitskii, A.K., Gol’din, D.A., Karshakov, E.V., et al., Printsypy postroeniya, struktury i algoritmy aeroelektrorazvedochnykh kompleksov, ch. 1: Sostoyanie, problemy i teoreticheskie osnovy (Airborne Electromagnetic Complexes: Principles of Design and Algorithms, vol. 1: State of the Art, Problems, and Theoretical Fundamentals), Moscow: IPU RAN, 2013.
Karshakov, E.V., Calibration of Electromagnetic System of Relative Positioning, Upravlen. Bol’shimi Sist., 2012, no. 37, pp. 250–268.
Volkovitskii, A.K., Karshakov, E.V., and Popovich, V.V., Low-frequency Inductive Airborne Electromagnetic System EM-4H, Zap. Gorn. Inst., 2009, vol. 183, pp. 224–227.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.Yu. Tkhorenko, E.V. Karshakov, B.V. Pavlov, A.V. Kozlov, 2015, published in Avtomatika i Telemekhanika, 2015, No. 11, pp. 160–173.
This paper was recommended for publication by E.Ya. Rubinovich, a member of the Editorial Board
Rights and permissions
About this article
Cite this article
Tkhorenko, M.Y., Karshakov, E.V., Pavlov, B.V. et al. Algorithm to position an object moving in the low-frequency electromagnetic field. Autom Remote Control 76, 2033–2044 (2015). https://doi.org/10.1134/S0005117915110120
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117915110120