Numerical Construction of the Poincaré Map , with Application to Accelerators ∗
نویسنده
چکیده
We show how to construct a symplectic approximation to the Poincaré map, using data from a symplectic integrator. We illustrate by producing a full-turn map for a realistic model of the Large Hadron Collider. Mapping of one turn is typically faster by a factor of 60 than direct integration. This allows one to follow orbits over times comparable to the required storage time of the beam, on a workstation computer. Fast mapping also allows the construction of quasi-invariant actions, which aid in estimates of long-term stability.
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تاریخ انتشار 1995