Trajectory of a Charged Particle in a Time-Varying Magnetic Field.
Abstract
An analysis of the motion of a single charged particle in a uniform time-varying (B=(B sub zero) sin (omega t)) magnetic field is made assuming cylindrical symmetry. The collisionless, nonrelativistic case results in a form of Mathieu's differential equation. The solution of Mathieu's equation can be either stable (time-bounded) or unstable depending upon the ratio of cyclotron frequency to magnetic field frequency. Several examples of orbits are drawn for various values of cyclotron frequency, field frequency, and initial velocity. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1969
- Accession Number
- AD0860097
Entities
People
- William R. Mcfadden
Organizations
- Air Force Institute of Technology