A "ground plane" antenna is designed to 'fool" the antenna into thinking the
horizontal radials are actually the surface of the earth. This term actually
has nothing to do with grounding the antenna. However, the antenna will work
better if the mast of it is grounded, since this gives the radials an actual
earth ground reference electrically, and it therefore will work more closely
to it's design specs.

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Does a ground plane need a choke? What about being grounded to the mast?