Global coronal and heliospheric magnetic field modelling for Solar Orbiter

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Abstract
Computing the solar coronal magnetic field and plasmaenvironment is an important research topic on it's own rightand also important for space missions like Solar Orbiter toguide the analysis of remote sensing and in-situ instruments.In the inner solar corona plasma forces can be neglected andthe field is modelled under the assumption of a vanishingLorentz-force. Further outwards (above about two solar radii)plasma forces and the solar wind flow has to be considered.Finally in the heliosphere one has to consider that the Sunis rotating and the well known Parker-spiral forms.We have developed codes based on optimization principlesto solve nonlinear force-free, magneto-hydro-static andstationary MHD-equilibria. In the present work we want toextend these methods by taking the solar rotation into account.