+Google Maps on Google+ suggested this forum as the best place to report this issue in the hope that +Daniel Mabasa could forward this information to the right people.
Google Maps (and Sky Maps as well) does not seem to read the compass information correctly on the Droid RAZR. I have this problem and have seen many posts on other forums by RAZR owners discussing this same issue. Basically, the blue "my location" arrow does not show the direction that the device is pointing. Instead, it will only vary by several degrees either side of north no matter what direction the device is pointing. This does not appear to be a hardware issue, as other applications (specifically Compass by catch.com and GPS Status & Toolbox by Eclipsim) do show compass headings correctly.
This is somewhat of an inconvenience for Maps, but renders Sky Maps unusable.
Please let me know if you need further information.