A method and system for Air-To-Ground communications allowing integration of the aircraft communication with a terrestrial cellular communications network. The solution is carried out in the aircraft so any existing standard terrestrial cellular communication network may be used without requiring any modification. The constraints due to the special aircraft conditions (speed and height) are efficiently solved, allowing broad interoperability with the cellular communications network, satisfying the increasing high speed data demand. Specifically, in order to solve the handover constraints the aircraft antenna will create at least two radiation patterns: one for maintaining the current connection with the serving base station and another one or more to search the next suitable best station for handover.