If you are travelling to US from Australia for example on Saturday morning and Zuhr of Sat occurs on the plane then you have to offer your zuhr prayer on the plane according to the rules of offering prayer on the plane but as far as I know that you can't reach to US from Aus in Saturday morning because the distance is 9437 miles and flight takes approx 16.85 hours to reach US from Aus and the time zone is -7:00 and +10:00 UTC for US and Aus accordingly. Suppose that now it is Sunday, March 16, 2014 at 9:00:00 am in Aus and Saturday, March 15, 2014 at 4:00:00 pm in US. Therefore when a person will move for US on Saturday from Aus then it'll be friday in US. as a conclusion the zuhr prayer will not be repeated.
Actually there is a general ruling that the same obligatory prayer shouldn't be repeated if offered at one place even if a person reaches by plane from a country to another country suppose if a person flies from Afghanistan in the morning and he has offered his fajr prayers either at Airport or in the plane and when he reaches to Pakistan for example there is now time remaining for fajr prayer; in this case he has no need to offer fajr prayer again.