A UAV support vehicle carries a UAV support apparatus for launching and/or recovering a UAV while the UAV support vehicle is moving. The UAV support apparatus releases the UAV during launch and receives the UAV during recovery. An active suspension may be connected between the UAV support vehicle and at least a portion of the UAV support apparatus and reduce motion imparted to that portion of the UAV support apparatus. During UAV recovery, data from a synchronization link between the UAV and the UAV support vehicle may be used to maneuver the UAV and/or the UAV support vehicle.