Orbit Dynamics for Unstable Linear Motion

Details Orbit Dynamics for Unstable Linear Motion Orbit Dynamics for Unstable Linear Motion

1996-05-30

arxiv.org/abs/acc-phys/9605002v1

Physics

Accelerator Physics

17 pages

Scientific paper

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 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.

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