Jim, nice detail! Many reference say 35 Ohms (as they assume an
infinite ground plane), but it is really as low as you stated.
For JOTA oparation we used a 6 elevated radials arrangement at 40 m
band and I had to extend the radiator to get 50 Ohms. Just adding a
tuning capacitor "removed" the inductive component. Now we have the
means to erect a half wave giving sligtly lower main beam elevation,
and we use 3 radials now.
It would help if you were to specify what band or bands you are interested
in and how hight this balcony is off the ground.
--
Wim
PA3DJS
Please remove abc first in case of PM