For a while Ansett ran Hobart- Auckland. And there was the Ansett B727-200 that, due weather conditions, and at night, required to depart RWY12 with about 8 knots tailwind. Shortly after rotation the RWY 12 LLZ failed and, despite attempts by the controller to reset the aid, nothing eventuated. Techs called and discovered LLZ aerial missing!! Wires and fragments found tangled in the undercarriage of VH-RM.. on arrival in Auckland