heathfield - remember Scotland has differnet rules to England, hence the difference between your link and the earlier one.
barb - in a conservation area the dish cannot be places on a wall, roof slope or chimney that faces onto and is visible from a highway.
You also mention that your building is listed - even if planning permission is not required, listed building consent definitely is.
Oh, and to those who said to put it on a pole in a garden - this would then also fall under the outbuildings section of the permitted development rights, so not necessarily a way round the rules!