Fast Symplectic Mapping and Quasi - invariants for the Large
نویسنده
چکیده
Beginning with a tracking code for the LHC, we construct the canonical generator of the full-turn map in polar coordinates. For very fast mapping we adopt a model in which the momentum is modulated sinusoidally with a period of 130 turns (very close to the synchrotron period). We achieve symplectic mapping of 10 turns in 3.6 hours on a workstation. Quasi-invariant tori are constructed on the Poincar e section corresponding to multiples of the synchrotron period. The possible use of quasi-invariants in deriving long-term bounds on the motion is discussed.
منابع مشابه
Fast Symplectic Mapping, Quasi-invariants, and Long-term Stability in the Lhc
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