A method and associated control device for synchronizing a turbine with an alternating current network having a network frequency, having the following steps: A) accelerating the turbine up to a frequency in the range of the network frequency; B) sensing an angle difference between the turbine and the alternating current network; C) sensing a speed difference between the turbine and the alternating current network; D) accelerating or decelerating the turbine such that the turbine follows a desired trajectory, wherein the desired trajectory is a trajectory calculated in advance that indicates, in dependence on the angle difference, a desired speed difference that should be present such that a target angular position between the turbine and the alternating current network suitable for synchronous feed-in is achieved when the speed of the turbine and the speed of the alternating current network correspond.