ORIGINAL: Captain Nemo12
Is there a reason for wrapping the wire in a coil shape (besides saving space)? Seems to me that you can just replace the antenna with a wire and line it along the inner side of the lower hull.
If the coil is not properly designed (usually called antenna loading coil, which extend the physical large of the antenna ) has not other reason that save space. In fact is worst, the best is to make a square antenna ( or zigzag like pictures showing here) instead a small coil.