deletions | additions       diff --git a/3d_position.tex b/3d_position.tex  index 389b001..08fba75 100644  --- a/3d_position.tex  +++ b/3d_position.tex 
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Sun is in the mean plane of the Galaxy, and the true position of the Galactic Center is no longer at $(l^{II}=0, b^{II}=0)$.  Instead, a variety of lines of evidence \citep{Chen2001b,Maiz-Apellaniz2001a,Juric2008a} show that the Sun is approximately 25 pc above the stellar Galactic mid-plane, and VLBA proper motion observations of masers show that the Galactic Center is about 7 pc below where the $(l^{II}, b^{II})$ system would put it \citep{Reid2004}. These offsets, as predicted by Blaauw et al., imply that ``points in the mean plane [do] not lie on the galactic equator."  Figure \ref{fig:galcoords} shows a schematic (not-to-scale) diagram of the effect of the Sun's and the Galactic Center's offsets from the mid-plane defined by the IAU in 1959 (and still in use as $(l^{II}, b^{II})$ today). The tilt of the ``True" Galactic Plane to the presently IAU-defined Plane means that, within about 12 kpc of Sun (Note: Twelve kpc is the approximate distance where the True and IAU planes cross, on a line toward the Galactic Center. Along other directions toward the Inner Galaxy, it will be further to the crossing point, and toward the Outer Galaxy, the latitude of the Plane will always be negative.) any feature that is truly ``in" the Galactic mid-plane will appear on the Sky at negative $b^{II}$. Figure \ref{fig:coloredlines} shows an example of this effect, where the rainbow-colored dashed line indicates the sky position of the ``True" Galactic mid-plane at a Nessie-like distance of 3.1 kpc (assuming the the Sun is 25 pc off the plane, a distance to SrgA* of 8.4 kpc, a rotation speed for the Milky Way of 239 $km\ km\  s$^{-1}$, and (U,V,W) motion for the Sun of 11.1, 12.4, and 7.2 $km\ km\  s$^{-1}$, respectively).