Accession Number : AD0488512

Title :   THEORETICAL TRAJECTORIES OF CHARGED PARTICLES IN AN INHOMOGENEOUS MAGNETIC FIELD.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : Gagliano, Ross Andrew

Report Date : MAY 1966

Pagination or Media Count : 74

Abstract : 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)

Descriptors :   (*PARTICLE TRAJECTORIES, MAGNETIC FIELDS), (*CHARGED PARTICLES, PARTICLE TRAJECTORIES), MATHEMATICAL MODELS, PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, POWER SERIES, COMPUTER PROGRAMMING, IONS, HYDROGEN, ENERGY, PROTONS, NUCLEAR RADIATION SPECTROMETERS, BETA RAY SPECTROSCOPY.

Subject Categories : Nuclear Physics & Elementary Particle Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE