Long-term Behavior of Particle Orbits in Storage Rings*
نویسنده
چکیده
In a large proton storage ring the particles circulate on narrowly defined orbits for many ~ hours, and undergo about 1012 interactions with nonlinear magnetic fields. The nonlinear fields -include significant high multipoles from inevitable errors in the fabrication of superconducting magnets. In a first approximation one neglects collective and dissipative effects, and assumes that magnetic fields are constant. The motion is then Hamiltonian, being perturbed harmonic motion in three degrees of freedom. Since the nonlinear perturbation depends periodically on --f’
منابع مشابه
Stability of nonlinear Hamiltonian motion for a finite but very long time.
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