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Orbit Dynamics for Unstable Linear Motion
G. Parzen
A treatment is given of the orbit dynamics for linear unstable motion that allows for the zeros in the beta function and makes no assumptions about the realness of the betatron and…
Particle Motion in the Stable Region Near an Edge of a Linear Sum Resonance Stopband
G. Parzen
This paper studies the particle motion when the tune is in the stable region close to the edge of linear sum resonance stopband. Results are found for the tune and the beta functio…
Particle Motion in the Stable Region Near an Edge of a Linear Half-Integer Stopband
G. Parzen
This paper studies the motion of a particle whose tune is inside and near a linear half-integer stopband. Results are found for the tune and beta functions in the stable region clo…
Linear Orbit Parameters for the Exact Equations of Motion
G. Parzen
This paper defines the beta function and other linear orbit parameters using the exact equations of motion. The orbit functions are redefined using the exact equations. Expressions…
Normal Mode Tunes for Linear Coupled Motion in Six Dimensional Phase Space
G. Parzen
The motion of a particle in 6-dimensional phase space in the presence of linear coupling can be written as the sum of 3 normal modes. A cubic equation is found for the tune of the…