This article has an erratum: [https://doi.org/10.1051/0004-6361/201935779e]
Top: plane-of-the-sky magnetic field (B⊥) and column density (NH) measured by Planck toward the ten nearby molecular clouds studied in PlanckXXXV. The colors represent the column density inferred from the dust opacity at 353 GHz. The “drapery” pattern, produced using the LIC, indicates the orientation of magnetic field lines, which is orthogonal to the orientation of the submillimeter polarization. The rectangular frames indicate the regions where Herschel observations are available. Detailed maps of these Herschel-observed regions are presented in Appendix A. Second row: relative orientation parameter (ξ), a measure of the trends in the HRO introduced in PlanckXXXV. Values of ξ > 0 correspond to histograms with many counts around 0°, i.e., NH contours mostly parallel to B⊥. Values of ξ < 0 correspond to histograms with many counts around 90°, i.e.,NH contours mostly perpendicular to B⊥. A selection of the HROs is presented in Appendix A. Third row: projected Rayleigh statistic (V), a statistical test of the nonuniformity and unimodal clustering in the distribution of relative orientation angles (ϕk), defined in Eq. (3). Values of V > 0 correspond to ϕk clustered around 0°, i.e., NH contours mostly parallel to B⊥. Values of V < 0 correspond to ϕk clustered around 90°, i.e., NH contours mostly perpendicular to B⊥. Fourth row: mean relative orientation angle () defined in Eq. (5).
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