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The onset of oscillatory thermocapillary convection in a floating half zone of l0cst silicon oil (Prandtl number 105.6) is studied by the three-dimensional and unsteady numerical simulation in microgravity environment (g =10--4gearth). The results show that the steady and axi-symmetric convection, for a fixed liquid bridge volume ratio Ve/Vo = 1, transits directly to the oscillatory convection if geometrical aspect ratio A is larger than the critical value Ac = 1.25, but transits to the oscillatory convection via the steady and non-axisymmetric flow if A is smaller than the critical value Ac. The result means that there are two bifurcation transitions in a liquid bridge of the large Prandtl number fluid with a smaller aspect ratio A.