In the satellite-to-ship quantum key distribution system， the quantum satellite that sends the quantum key is a low-orbiting satellite. The receiver equipment that tracks the quantum satellite is installed on the ship. Because the receiver equipment needs to track the movement of the satellite， the basis vectors of receiver equipment are inevitably rotated. In this work， the reason for the rotation of the basis vector is analyzed， and the quantitative relationship between the rotation angle of the basis vector， the quantum error rate， and the amount of information obtained， is established for the BB84 protocol. The results show that when the transmission distance is 200 km and the rotation angle of the basis vector is 2° and 10°， respectively， the quantum error rate and the amount of information acquired are 8.255×10-5 and 0.99， 2.044×10-3 and 0.91， respectively. When the rotation angle of the basis vector is greater than 2°， the performance of the satellite-to-ship quantum key distribution system is significantly reduced. This indicates that when the satellite-to-ship quantum key is distributed， it is necessary to perform an adaptive correction in advance according to the rotation angle of the basis vector.