This article:
http://en.wikipedia.org/wiki/Galactic_coordinate_system
says: "The symbols ℓ and b are used to represent the galactic longitude and latitude, respectively. The galactic longitude is measured in the plane of the galaxy using an axis pointing from the Sun to the galactic center. The galactic latitude is measured
from the plane of the galaxy to the object using the Sun as vertex."
So if we are uncertain about the position of the galaxy plane, we are uncertain about all the positions, using that coordinate system, correct?
And also shouldn't Sun be in the galaxy plane, for a calculation like that?
Maybe im missing something in "using sun as a vertex" part.