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Do you think the effect of the 8″ radiator on Z would be approximated by several parallel wires spaced about 8″ apart in a cylindrical arrangement. Maybe held in place with wood or plastic spacers?
It would seem that the Z of each wire would combine in parallel lowering the equivalent Z. The unknown to me is the mutual coupling between the wires. I saw a ham antenna made this way but I don’t recall the purpose.