Due to the frequent shielding of the earth, when the earth's satellite in low orbit, the deployable antenna of the satellite will be in a high and low temperature environment, thus forming a violent change of the temperature field. Severe temperature gradient changes can lead to large flexible deployable antenna, the thermal induced vibration, and reduce the lifetime of the key parts of the whole satellite polarization detection head. This paper builds a physical model of a satellite, and then analyze the space orbit of the transient heat when using the finite element method, the temperature field of deployable antenna, the temperature as constraint is mapped to the structure simulation, and analysis of satellite thermal deformation in the finite element model, realize the prediction of satellite antenna thermal vibration and provide data support. Thermal analysis of the satellite model can monitor the temperature field in each period and predict the possibility of thermal induced vibration, so as to avoid this kind of unfavorable disturbance after the continuous optimization design.