The author teaches Physics at Cornell University and has specialized in the Physics of Beams and Accelerator Technology. He has worked in three internationally important facilities, the laboratory of elementary particle physics (LEPP) that operates the CESR e+/e- collider at Cornell University (New York State), the high energy physics laboratory DESY / Hamburg (Germany) that operates the HERA e/p collider and the nuclear physics facility NSCL / Michigan (USA). Together with colleagues from an international collaboration he has been analyzing the possibility of storing polarized protons at 920 GeV in HERA, a 6.3 km long high-energy accelerator in Hamburg, and in other large particle accelerators.

• Introduction.- Spin Dynamics: The Equation of Spin Motion. Spin Motion in Circular Accelerators.- First-Order Spin Motion: Linearized Spin-Option Motion. First-Order Resonance Spectrum. Optimal Choices of Siberian Snakes.- Higher-Order Spin Motion: Higher-Order Resonances and Snake Schemes. Obtaining N(Z) by Stroboscopic Averaging. Obtaining N(Z) by Anti-Damping.- Polarized Beams in Other Very-High-Energy Proton Accelerators: The Relativistic Heavy Ion Collider (RHIC). TEVATRON.LHC.- Index.

The author teaches Physics at Cornell University and has specialized in the Physics of Beams and Accelerator Technology. He has worked in three internationally important facilities, the laboratory of elementary particle physics (LEPP) that operates the CESR e+/e- collider at Cornell University (New York State), the high energy physics laboratory DESY / Hamburg (Germany) that operates the HERA e/p collider and the nuclear physics facility NSCL / Michigan (USA). Together with colleagues from an international collaboration he has been analyzing the possibility of storing polarized protons at 920 GeV in HERA, a 6.3 km long high-energy accelerator in Hamburg, and in other large particle accelerators.

• Introduction.- Spin Dynamics: The Equation of Spin Motion. Spin Motion in Circular Accelerators.- First-Order Spin Motion: Linearized Spin-Option Motion. First-Order Resonance Spectrum. Optimal Choices of Siberian Snakes.- Higher-Order Spin Motion: Higher-Order Resonances and Snake Schemes. Obtaining N(Z) by Stroboscopic Averaging. Obtaining N(Z) by Anti-Damping.- Polarized Beams in Other Very-High-Energy Proton Accelerators: The Relativistic Heavy Ion Collider (RHIC). TEVATRON.LHC.- Index.