1. A method for managing the flight of a first aircraft (A 1 ) flying along a trajectory and being subject to a temporal constraint defined by a date determined with respect to a fixed point i.e. by a temporal separation with respect to a second aeroplane (A 2 ), the said first aircraft (A 1 ) flying according to a constant air speed (V a1 ) with an initial wind (Ve), the method comprising the following steps: the calculation of a distance (ΔD) on the basis of the initial wind (Ve) and of the air speed (V a1 ) the modification of the trajectory: if the distance (ΔD) is positive, the lengthening of the trajectory by a distance equal to the distance (ΔD); if the distance (ΔD) is negative, the shortening of the trajectory by a distance equal to the opposite of the distance (ΔD), the trajectory being situated in an air route and comprising flight segments and at least one transition between the said flight segments, the modification of the trajectory making it possible to satisfy the temporal constraint without modifying the air speed of the first aircraft (A 1 ), the modification of the trajectory comprising the following steps: the choosing of a transition of the trajectory, the calculation of a roll directive (PhiNom 2 ) for the said transition on the basis of the temporal discrepancy (ΔT), the calculation of the radius of curvature (R 2 ) of the trajectory in the said transition on the basis of the roll directive (PhiNom 2 ), if the radius of curvature (R 2 ) is less than the minimum radius (R 2lim ) making it possible to remain in the air route, the roll directive (PhiNom 2 ) is applied to the aircraft, otherwise: the calculation of a maximum time discrepancy (ΔT max ) in the said transition and of a corresponding roll directive, the calculation of a remaining time discrepancy (ΔT remaining ): ΔT remaining =ΔT−ΔT max the iteration of the step of choosing ( 71 ) a transition with the remaining temporal discrepancy (ΔT remaining ) until there is no longer any transition, not yet selected.