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Guiding-centre motion in the framework of Hamilton–Jacobi theory

Published online by Cambridge University Press:  13 March 2009

P. Gratreau  and
B. V. Robouch
P. Gratreau
Affiliation:
23 Rue des Cordelières, 75013 Paris, France
B. V. Robouch
Affiliation:
Associazione EURATOM-ENEA sulla Fusione, CRE Frascati, C.P. 65-00044 Frascati, Rome, Italy
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Abstract

Following renewed interest in the guiding-centre problem, we propose an alternative to previous approaches. It consists essentially in demonstrating the existence of a representative simple model for which the problem is rigorously solved in the Hamilton–Jacobi framework. It is shown that a perturbation method allows the extension of the model to more realistic cases. A further extension to cover both magnetic-mirror configurations and tokamaks can be achieved.

Type
Research Article
Information
Journal of Plasma Physics , Volume 49 , Issue 3 , June 1993 , pp. 445 - 463
Copyright
Copyright © Cambridge University Press 1993

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