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Motion of a charged particle in superposed Heliotron and biconical cusp fields

Published online by Cambridge University Press:  13 March 2009

M. P. Srivastava  and
P. K. Bhat
M. P. Srivastava
Affiliation:
Department of Applied Mathematics, Indian Institute of Science, Bangalor-12, India
P. K. Bhat
Affiliation:
Department of Applied Mathematics, Indian Institute of Science, Bangalor-12, India
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Abstract

We have studied the behaviour of a charged particle in an axially symmetric magnetic field having a neutral point, so as to find a possibility of confining a charged particle in a thermonuclear device. In order to study the motion we have reduced a three-dimensional motion to a two-dimensional one by introducing a fictitious potential. Following Schmidt we have classified the motion, as an ‘off-axis motion’ and ‘encircling motion’ depending on the behaviour of this potential. We see that the particle performs a hybrid type of motion in the negative z-axis, i.e. at some instant it is in ‘off-axis motion’ while at another instant it is in ‘encircling motion’. We have also solved the equation of motion numerically and the graphs of the particle trajectory verify our analysis. We find that in most of the cases the particle is contained. The magnetic moment is found to be moderately adiabatic.

Type
Research Article
Information
Journal of Plasma Physics , Volume 3 , Issue 2 , May 1969 , pp. 255 - 267
Copyright
Copyright © Cambridge University Press 1969

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References

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