deletions | additions       diff --git a/3d_position.tex b/3d_position.tex  index 1148fba..0d49bd7 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 \footnote{12 Sun\footnote{12  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, for a ``flat" disk, the mid-plane will always appear at negative latitudes.} 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\ s$^{-1}$, and (U,V,W) motion for the Sun of 11.1, 12.4, and 7.2 km\ s$^{-1}$, respectively).