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Fig. 15.

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Equatorial rotational velocity vs. inclination angle of the orbital plane for 2M J0746+20A. The solid red curve plots the v sin i of 2M J0746+20A (Konopacky et al. 2012). The black vertical solid line and top x-axis scale refer to the alignment of the spin and orbit axes. The right-hand y axis corresponds to the radius of the dwarf, ∼0.99 RJ (∼0.0995 R) where RJ ∼ 69 911 km, as calculated by Harding et al. (2013b). This radius corresponds to an equatorial velocity of ∼36 km s−1 from this work, highlighted as the solid blue line. The 41.8 degree orbital inclination angle is adopted from Konopacky et al. (2012). The dashed lines in all cases represent the associated errors. We measured equatorial inclination of 32 ± 4 degrees marked with the solid green line, which is exactly consistent with what has been found in the previous study of Harding et al. (2013b) and also confirm that the 2M J0746+20A equatorial inclination is within 10 degrees of the orbital inclination angle.

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