The NEC
solution is to bond _all_ grounding systems of different systems together
(electric power, TV antenna, cable TV, phone, etc.) so that they all come up
to the _same_ potential during a strike. No potential difference between
systems, no destructive current flow.

OK

So..... I should ground the TV antenna direct to a rod driven into the
earth.... BUTALSO run a wire back to electrical ground of the service
panel?