Growth of harmonic perturbations of an electron shell orbiting a positivelycharged wire (Orbitron)
Abstract
In the present investigation of the negative mass instability of a cylindrical shell of electrons that orbit a positively charged wire, orbital frequency harmonics are noted to grow faster than the fundamental. The growth constant is proportional to the square root of the harmonic number. The equation becomes invalid for very high harmonics, as when wavelength becomes comparable to shell thickness.
 Publication:

IEEE Transactions on Plasma Science
 Pub Date:
 December 1984
 DOI:
 10.1109/TPS.1984.4316340
 Bibcode:
 1984ITPS...12..280A
 Keywords:

 Electron Mass;
 Harmonic Oscillation;
 Magnetohydrodynamic Stability;
 Orbitrons;
 Cylindrical Shells;
 Gyrofrequency;
 Magnetic Field Configurations;
 Electronics and Electrical Engineering