Geodesic
Modeling of the spiral inflector and the orbit centering in compact cyclotron
Matematičeskoe modelirovanie, Tome 21 (2009) no. 1, pp. 3-11.

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This paper describes the modeling and optimization of the parameters of the structure elements of the compact cyclotron. In particular, the optimization of the centering procedure by selection of the accelerated ion central trajectory and the corresponding inflector parameter is considered. 
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E. P. Zhidkov; E. E. Perepelkin; S. B. Vorozhtsov. Modeling of the spiral inflector and the orbit centering in compact cyclotron. Matematičeskoe modelirovanie, Tome 21 (2009) no. 1, pp. 3-11. http://geodesic.mathdoc.fr/item/MM_2009_21_1_a0/

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[4] E. E. Perepelkin, S. B. Vorozhtsov, A. S. Vorozhtsov, P. Beličev, M. Rajčević, N. Nešković, “Ion beam dynamics in the VINCY Cyclotron”, The 35th European Cyclotron Progress Meeting, ECPM 2006 (November 2–4, 2006, Nice, France)