Magnetic Clouds Fitted by a Constant-Alpha Force-Free Toroidal Solution

Computer Science

Scientific paper

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Magnetic Field Effects, Solar Wind, Bessel Functions, Interplanetary Magnetic Fields, Particle Emission, Solar Wind, Special Functions

Scientific paper

Magnetic clouds have been defined as special regions in the solar wind with higher magnetic field magnitude, lower proton temperature, and large rotation of the magnetic field vector. In some cases, the rotation exceeds 180° and it is interpreted as a signature that a magnetic cloud/flux rope is curved. It corresponds to common understanding that magnetic clouds are large interplanetary flux ropes, which have loop-like shapes in the heliosphere. In such cases, magnetic clouds are fitted by approximate linear force-free toroidal solutions (derived for large aspect ratios). Here an exact constant-alpha force-free toroidal solution is compared with approximate ones and it is found a reasonable agreement even for low aspect ratios.

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