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Effect of a large Oth harmonic octupole on stable betatron oscillations

Description: S>The effect of a 0th harmonic octupole (that is, constant in dependence on azimuth) on stable betatron oscillations is treated in smooth approximation. In this approximation, an exact invariant is obtained. Bounded motion results, except when the octupole component is very large. A condition for stability- is obtained and, in the case of bounded motion, an expression for the amplitude variation is given. Some comments are made regarding the method of phase averaging. (auth)
Date: September 20, 1973
Creator: Month, M.
Partner: UNT Libraries Government Documents Department