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The Program HAMILTON for the Analytic Solution of the Equations of Motion in Particle Optical Systems through Fifth Order

Abstract

HAMILTON is a computer code performing all algebraic operations necessary for an analytic determination of the solution of the Hamiltonian equations of motion in electromagnetic fields with one plane of symmetry. It is written entirely in FORTRAN in order to achieve fast machine performance, a requirement which is essential due to the complexity of the equtions of motion in higher orders. As a consequence, HAMILTON is considerably faster than common formula manipulators. Furthermore, HAMILTON is constructed such that the storage is minimized.

M. Berz, H. Wollnik, Nuclear Instruments and Methods A258 (1987) 364-373

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