The practical application of the magnetic virial theorem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Solar Flares, Solar Magnetic Field, Virial Theorem, Digital Simulation, Magnetohydrodynamics, Polarized Radiation, Seeing (Astronomy)

Scientific paper

The magnetic energy of solar active regions is computed via the application of the magnetic virial theorem together with vector magnetograph data. In order to investigate how errors in the vector magnetograph measurements produce errors in the virial theorem energy, the effects of realistic errors on known magnetic fields are simulated numerically. These include errors due to random polarization noise, crosstalk between different polarization signals, systematic polarization bias, and seeing-induced crosstalk. Analytical expressions for the energy errors which apply under certain idealized conditions are derived. The results are useful for evaluating the ability of vector magnetographs to provide suitable data for the accurate determination of magnetic energies using the virial theorem.

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