Title :
Theory of Non-Planar Orbits
Author :
Antillòn, A. ; Month, M.
Author_Institution :
Alternating Gradient Synchrotron Department Brookhaven National Laboratory Associated Universities, Inc. Upton, N.Y. 11973
Abstract :
The basic dynamics of a planar accelerator is extended to the non-planar case. This is done using the geometrical concept of torsion and extending the Hamiltonian formalism. A generalized non-planar reference orbit is adopted which introduces torsion in appropriately chosen drift spaces. The parameters of the reference orbit are associated with uncoupled and coupled betatron parameters currently in use.
Keywords :
Educational institutions; Laboratories; Magnetic fields; Motion analysis; Orbits; Particle accelerators; Physics; Solenoids; Synchrotrons; Transmission line matrix methods;
Journal_Title :
Nuclear Science, IEEE Transactions on
DOI :
10.1109/TNS.1985.4333866