Speaker: Rick Baartman
Category: FFA School
Accelerated Orbits
Speaker: Rick Baartman
Isochronism Errors
Speaker: Rick Baartman
Longitudinal Optics
Speaker: Rick Baartman
Reference Orbits in FFAs
Speaker: Thomas Planche
Hagedoorn’s Hamiltonian
Speaker: Thomas Planche
See: Hagedoorn, H. L., and N. F. Verster. “Orbits in an AVF cyclotron.” Nuclear Instruments and Methods 18 (1962): 201-228.
Equations of Motion
Speaker:Thomas Planche
Gordon’s Method
Speaker: Thomas Planche
See: https://en.wikipedia.org/wiki/Newton%27s_method
M. Gordon and T. Welton, Computation Methods for AVF Cyclotron Design Studies, Oak Ridge National Lab, internal report ORNL-2765, 1959.
Gordon, M. M. “Computation of closed orbits and basic focusing properties for sector-focused cyclotrons and the design of” cyclops”.” Part. Accel. 16 (1984): 39-62
Berz, A. “Differential algebraic description of beam dynamics to very high orders.” Part. Accel. 24.SSC-152 (1988): 109-124.
The Walkinshaw Resonance
To follow up on what Rick presented during the FFA’school Q&A session, here are a few useful links:
Link to Rick’s Mathematica notebook
Video of the pendulum on a spring: