Equilibrium of a system of superconducting rings in a uniform gravitational field |
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Authors: | A. M. Bishaev A. A. Bush M. B. Gavrikov I. S. Gordeev A. I. Denisyuk K. E. Kamentsev M. V. Kozintseva V. V. Savel’ev A. S. Sigov |
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Affiliation: | 1210. Moscow State Technical University of Radio Engineering, Electronics, and Automation, pr. Vernadskogo 78, Moscow, 119454, Russia 2210. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
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Abstract: | To construct a plasma trap with levitating magnetic coils in the thin ring approximation, we derive the expression for the potential energy of a system of several superconducting rings (one of which is fixed) capturing the preset flows in the uniform gravitational field as a function of the coordinates of the free ring (or rings). Calculations performed in the Mathcad system show that the potential energy of such a system has a local minimum for certain values of parameters. Stable levitation of a superconducting ring in the position corresponding to calculations is realized in the field of another superconducting ring, and this leads to the conclusion that a magnetic Galatea trap can be prepared on the basis of a levitating quadrupole. |
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