Calculation of magnetic helicity of cylindrical flux rope

Physics – Plasma Physics

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Interplanetary Physics: Ejecta, Driver Gases, And Magnetic Clouds, Interplanetary Physics: Interplanetary Magnetic Fields, Space Plasma Physics: Mathematical And Numerical Techniques (0500, 3200)

Scientific paper

We examine a method of calculating the magnetic helicity of cylindrical magnetic flux rope of arbitrary cross section from in-situ spacecraft data. First we examine the gauge invariance of the definition of relative helicity by Finn and Antonsen (1985). Two approaches based on Grad-Shafranov equation are then described. A case study is presented to illustrate the method. The results show significant discrepancies from an earlier study utilizing axially symmetric models. We briefly discuss the potential applications for Sun-Earth connection.

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