It is hard to use the compass on Antarctica, because
The power affected the compass bar is so small.
F = K.Q1.Q2 / (R^2). If R>> then the force is at minimum.
In an earlier post (in Posted by: rabinoz « on: May 02, 2016, 02:21:34 AM ») I showed the location of the South Magnetic Pole at 64.26°S and 136.59°E. That is south of Adelaide in Australia and a bit north of the Antarctic Circle.
A compass (with correct weighting) can be used over most of Antarctica. The references I gave are the organisation that actually works there!
They know a lot more about this than you and I!
don't more talking and do the experiment I suggested. send me the results. do a good job. 
We can't do you experiment because compasses are already properly
WEIGHTED to
COMPENSATE for the tilt so there is no experiment to do.