The stability of a hydromagnetic fluid in static equilibrium can be determined oy an energy principle formalism which was investigated V 1. B. Bernsten et. al. The present purpose is to apply this method to a plasma in an axisymmetric Heliotron magnetic field.
In the case which a plasma pressure p is much less than a magntic pressure, the stability condition for the flute type instability due to theξφ=f (θ) /rBperturbation is given as follows;δw (ψ) =∫dX∂/∂ψ (1/B
2) [γPB
2∂/δψ (1/B
2) +∂P/∂ψ] >0.
The marginal equilibrum pressure which satisfy the above condition takesp=β (B
2O/2μ) (B/B
O)
2γ under the neutral lines of Heliotron field.
Firstly, in chapter 2, the analysis of Heliotron magnetic field produced by the sheet current are studyed. Next in chapter 3, the flute type instability is discussed.
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