Accession Number : AD0252888

Title :   THE RADIAL STABILITY OF ORBITS IN A SPIRAL RIDGE CYCLOTRON

Corporate Author : ILLINOIS UNIV AT URBANA

Personal Author(s) : STAHELIN, PETER

Report Date : 01 MAR 1957

Pagination or Media Count : 1

Abstract : Contents: Axial stability The conventional fixed frequency cyclotron Vertical focussing in a spiral ridge cyclotron: choice of units Thomas-effect Laslett effect Alternating gradient effect Generalization for nonsinusoidal flutter Orbital frequencyAnalytic approximation to radial oscillations Qualitative discussion Equations of motion Equilibrum orbit Deviations from the equilibrum orbit Frequency of small radial oscillations Motion of the orbit center Perturbation by nonlinear terms Expansion of orbits due to acceleration More than four sectors Radial stability limits Order-of-magnitude estimate of stability limits Combined effect of acceleration and orbit precession (four sectors) Numerical integration of the orbit equations

Descriptors :   *CYCLOTRONS, *MAGNETIC FIELDS, FOCUSING, OSCILLATION, PARTICLES, STABILITY.

Distribution Statement : APPROVED FOR PUBLIC RELEASE