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:

1966-05-01

Pagination or Media Count:

74.0

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 and Elementary Particle Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE