The signal on GPS is so tiny that half the time it is not there. Not an issue at couple hundred megahertz, but can be attenuated to nothing by rocks, trees, fences, metal posts, cars, even orientation of the antenna since it is less than a 1/4 inch full wave. More than you needed to know, I suppose, but it means something in or near the plane is blocking signal or something in the plane is making so much electrical noise the radio is effectively deaf.
Carbon fiber is effective in reducing/blocking radio signal. I suggest placing part of the antenna outside the plane