THEORETICAL TRAJECTORIES OF CHARGED PARTICLES IN AN INHOMOGENEOUS MAGNETIC FIELD.

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)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1966
Accession Number
AD0488512

Entities

People

  • Ross Andrew Gagliano

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Charged Particles
  • Computers
  • Differential Equations
  • Digital Computers
  • Equations
  • Ions
  • Kinetic Energy
  • Magnetic Fields
  • Numerical Integration
  • Particles
  • Protons
  • Spectrometers
  • Trajectories

Fields of Study

  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Solar Physics