“…To eliminate the possibility that such simple harmonic expansions would result in all of the magnetic field lines returning to the Sun within a small heliospheric distance, the coronal field was required to become radial at the outer boundary, the source surface. Despite its many assumptions and obvious limitations, PFSS has been very successful in the study of a wide range of solar and heliospheric phenomena, including: coronal structure as seen during eclipses (e.g., Smith and Schatten, 1970), end-to-end modelling of Earth-impacting coronal mass ejections (CMEs, e.g., Luhmann et al, 2004), coronal null points and CME release (e.g., Cook et al, 2009), interplanetary magnetic fields (e.g., Burlaga et al, 1978), heliospheric current sheet structure (e.g., Hoeksema et al, 1982), waves in the corona (e.g., Uchida et al, 1973), solar wind acceleration (e.g., Neugebauer et al, 1998;Marsch, 1999), stellar coronal fields (e.g., Jardine et al, 2002), coronal hole and fast solar wind stream evolution (e.g., Wang and Sheeley Jr, 1990), co-rotating interaction regions and associated cosmic ray modulation (e.g., Rouillard et al, 2007), solar wind speed prediction (e.g., Arge et al, 2002), solar wind density structure (e.g., Rouillard et al, 2010), pseudostreamers (e.g., , and quantifying the open solar flux (discussed below). The method has also generated results that compare well with images that reveal field line structure in the corona and with the results of MHD modelling (see the Living Review by Mackay and Yeates, 2012).…”