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TY - CONF AU - Melnikov, S.A. AU - Meshkov, I.N. ED - Kuzin, Maksim V. ED - Schaa, Volker RW TI - Stability of Charged Particle Motion in a Storage Ring With Focusing by a Longitudinal Magnetic Field J2 - Proc. of RUPAC2018, Protvino, Russia, 01-05 October 2018 C1 - Protvino, Russia T2 - Russian Particle Accelerator Conference T3 - 26 LA - english AB - The goal of the presented research is analyse an influence of the solenoidal magnetic field perturbations on the dynamics of charged particles in a storage ring with a longitudinal magnetic field LEPTA. The Low Energy Particle Toroidal Accumulator, constructed in the VP Dzhelepov Laboratory of Nuclear Problems, JINR, is designed for generating a directed orthopositronium flux, which is formed as a result of recombination of positrons circulating in the LEPTA ring with a single-turn electron beam of electron cooling system. To provide a long-term stability of the circulating positron a helix quadrupole magnetic field is formed in one of the straight sections of the ring. The report presents an optical transformation matrix for the LEPTA ring, obtained on the basis of the solution of the motion equation in WKB-approximation. The matrix of the region of the solenoid field pertubations is included in the Full Transformation Matrix (FTM) of the LEPTA ring. The program built in Mathcad for this matrix, made it possible to study the multi-turn stability of the particle motion in the LEPTA ring. The results are presented in the report. PB - JACoW Publishing CP - Geneva, Switzerland SP - 158 EP - 160 KW - quadrupole KW - solenoid KW - focusing KW - storage-ring KW - positron DA - 2018/11 PY - 2018 SN - 978-3-95450-197-7 DO - 10.18429/JACoW-RUPAC2018-TUPSA08 UR - http://jacow.org/rupac2018/papers/tupsa08.pdf ER -