The radial stability of orbits in a spiral ridge cyclotron
Technical Report
·
OSTI ID:6575335
Contents: Axial stability; The conventional fixed frequency cyclotron; Vertical focussing in a spiral ridge cyclotron: choice of units, Thomas-effect Laslett effect, alternating gradient effect; Generalization for nonsinusoidal flutter; Orbital frequency; Analytic approximation to radial oscillations; Qualitative discussion; Equations of motion; Equilibrum orbit; Deviations from the equilibrum orbit; Frequency of small radial oscillations; Motion of the orbit center; Perturbation by nonlinear terms; Expansion of orbits due to acceleration; More than four sectors; Radial stability limits; Order-of-magnitude estimate of stability limits; Combined effect of acceleration and orbit precession (four sectors); Numerical integration of the orbit equations.
- Research Organization:
- Illinois Univ., Urbana (USA)
- OSTI ID:
- 6575335
- Report Number(s):
- AD-252888
- Country of Publication:
- United States
- Language:
- English
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