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Symplectic tracking of beam particles using point magnets is achieved using areference orbit made of circular arcs and straight lines that join smoothlywith each other. For this choice of the reference orbit, results are given forthe transfer functions, transfer matrices, and the transit times of the magnetsand drift spaces. These results provide a symplectic integrator, and allow thelinear orbit parameters to be computed by multiplying transfer matrices. It isshown that this integrator is a second-order integrator, and that the transferfunctions can be derived from a hamiltonian.Comment: 16 pages, PDF fil

Symplectic tracking using point magnets and a reference orbit made of circular arcs and straight lines