Open AccessOrbit dynamics for unstable linear motion
Author(s) -
G. Parzen
Publication year - 1996
Language(s) - English
Resource type - Reports
DOI - 10.2172/242699
Subject(s) - betatron , orbit (dynamics) , beta (programming language) , motion (physics) , dynamics (music) , physics , function (biology) , classical mechanics , phase (matter) , mathematical analysis , mathematics , computer science , quantum mechanics , evolutionary biology , acoustics , engineering , biology , programming language , aerospace engineering , electron
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