Coronal Magnetic Eigenmodes With m = 2

This work offers a further application of eigenfunction methods developed by Schulz [JGR, 106, 15859-15867, 2001] for precise implementation of the Wang-Sheeley model [Wang et al., ApJ, 327, 427-450, 1988] for the coronal and heliospheric magnetic field, whereby latitude-dependent differential rotation leads (in the presence of magnetic footpoint diffusion) to rigidly rotating magnetic structures in the corona and heliosphere. The m = 1 case treated earlier [Schulz, 2001] dealt with the "tilted-dipole" configuration that generates a "two-sector" pattern in the IMF. The m = 2 case treated here deals with a "quadrupolar" perturbation of the heliospheric current sheet, which leads to the "four-sector" pattern typical of years near solar minimum.