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Armstrong's Gulfstream Aerospace G-IV private jet, which is operated under the name Mellow Johnny's Aviation, is parked at Queenstown Airport.
Armstrong, a seven-time Tour de France winner whose illustrious career has been dogged by doping allegations, which he has consistently denied, contested the 2011 Australian Tour Down Under cycling event last week.
In his last race outside of the United States, he finished 67th in Adelaide last Sunday and was to have competed in a triathlon in Rotorua today, but pulled out because of a knee injury.
The latest update on Armstrong's Twitter page, made on January 24, simply says "vacation time".