stronger and quickly transition its association to the red component as the blue component becomes weaker. The measured  for our artificial line profiles is shown in Figure \[f:vel\_off\]. Although this method fails dramatically for strong blue components, the measured  is relatively constant for line ratios less than one, with all measured velocities $<$1000 [kms$^{-1}$]{} for all such cases. There is a slight bias ([$\sim\!\!$ ]{}150 [kms$^{-1}$]{}) for these measurements, some of which can be explained by increasing flux of the pseudo-continuum with wavelength. Correcting for the pseudo-continuum removes much of the bias, with the remaining bias related to the strength of the blue component.

For cases where the red component is stronger than the blue component, measuring the wavelength of maximum absorption is significantly better at measuring the photospheric velocity than using a Gaussian fit to the full profile. In this regime, the wavelength of maximum absorption is only minimally affected by the strength of the blue component, while the Gaussian fit is significantly affected. In the regime of having a stronger blue component, the wavelength of maximum absorption fails. However, in this regime, the Gaussian fit also fails, producing unphysical and significantly biased results.

Using the @Foley11:vgrad method of 