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Abstract

We show that, if in a MHS toroidal isodynamic equilibrium the magnetic surfaces (MS) are axisymmetric, the surfaces have to be coaxial; then we show that the poloidal and toroidal components have the same symmetry, hence the configuration is axisymmetric. We consider then the case of the Stellarator, assuming as coordinate surfaces the MS and on these, as coordinate lines, the lines of force and their orthogonal trajectories which are simply closed poloidal lines. The physical equations allow a simplification of the metric tensor. Finally, we examine the case of the local existence of the isodynamic Stellarator (the non-existence in the compact case is evident). In this case, the metric tensor can be further simplified. The set of the three GAUSS equations and of the three independent equations of CODAZZI and MAINARDI for the three families of the coordinate surfaces admits an integral which allows to show easily the non-existence, also locally, of the isodynamic Stellarator.

Additional information

Authors: PALUMBO D CEC BRUXELLES (BELGIUM), CEC BRUXELLES (BELGIUM)
Bibliographic Reference: SEDUTA DELL'ACCADEMIA DELLE SCIENZE, PALERMO (ITALY), APRIL 26, 1984 WRITE TO CEC LUXEMBOURG, DG XIII/A2, POB 1907 MENTIONING PAPR E 31511 ORA
Availability: Can be ordered online
Record Number: 1989122074700 / Last updated on: 1987-01-01
Category: PUBLICATION
Available languages: en