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THEORETICAL TRAJECTORIES OF CHARGED PARTICLES IN AN INHOMOGENEOUS MAGNETIC FIELD.
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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This theoretical study of the trajectories of charged particles supplements an experimental project of molecular-ionic rearrangements using the magnetic focusing properties of a beta-ray spectrometer. The experimentally measured magnetic field was analytically represented by a twelfth-order polynomial. This field is axially symmetric, but non-homogeneous otherwise. The particular particle of concern was the hydrogen ion, H2. The trajectory of this particle was computed from a second-order differential equation, assuming values for the kinetic energy and initial angle of the particle, and the magnetizing current. The solution was obtained by numerical integration using a CDC 1604 digital computer. The distinctive feature of these calculations, in contrast to those used normally for a beta-ray spectrometer, is the large scattering initial angle, about 45 degrees. Author
APPROVED FOR PUBLIC RELEASE