1. A method for the prediction and adaptation of movement trajectories T of a motor vehicle for assisting the driver in his or her task of driving and/or for preventing a collision or reducing the consequences of an accident, characterized in that for the prediction and adaptation of movement trajectories (T) of the motor vehicle ( 1 ), an intersection (U) of situatively required movement trajectories (SNT), which are determined using environment sensors ( 2 ), and physically possible movement trajectories (PMT), which result from properties that are characteristic of the driving dynamics of the motor vehicle ( 1 ) and from the coefficient of friction (μ) obtained between the tires and the road up to a maximum possible threshold coefficient of friction (μ max ), is formed, and only those movement trajectories (T) are taken into account that lie within this intersection (U).