Long-term tracking with symplectic implicit one-turn maps

Y.T Yan,P.J Channell,M.J Syphers,M Li

doi:10.1109/pac.1993.309023

Long-term tracking with symplectic implicit one-turn maps

Y.T Yan, P.J Channell + Show 2 more

https://doi.org/10.1109/pac.1993.309023

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Publication Date: May 17, 1993

Citations: 5

Affiliation: Universities Research Association

#Superconducting Super Collider #One-turn Maps + Show 8 more

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Abstract

Symplectic one-turn maps for long-term tracking of the Superconducting Super Collider (SSC) and its High Energy Booster (HEB) have been successfully used in dynamic aperture studies. We found that one-turn maps of about 5th order are sufficient for the SSC injection lattice, while for the HEB, slightly-higher-order (about 8th) one-turn maps are required. These results led to a tentative conclusion that the SSC is dominated by low-order resonances, that is, high-order (>9) resonances do not play essential roles for the stability of the SSC. >

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