Orbit Dynamics for Unstable Linear Motion
Orbit Dynamics for Unstable Linear Motion
A treatment is given of the orbit dynamics for linear unstable motion that allows for the zeros in the beta function and makes no assumption about the realness of the betatron and phase functions. The phase shift per turn is shown to be related to the beta function and the number of zeros the beta function goes through per turn. The solutions of the equations of motion are found in terms of the beta function.
- University of North Texas United States
- Brookhaven National Laboratory United States
- TED University Turkey
43 Particle Accelerators, Beam Dynamics, Differential Equations Beta Function, Orbits, Particle Kinematics, 530, Analytical Solution, Trajectories, Beta Function, Betatron Oscillations, Equations Of Motion, Phase Oscillations
43 Particle Accelerators, Beam Dynamics, Differential Equations Beta Function, Orbits, Particle Kinematics, 530, Analytical Solution, Trajectories, Beta Function, Betatron Oscillations, Equations Of Motion, Phase Oscillations
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