Dynamical modeling and control of a satellite with two antennae tracking big angles were studied by an three-rigid-body model with seven degrees.Through defining several new tensors and based on the assumption that the antennae track objects slowly,the vector dynamical equations were derived by Newton-Eular Method,and the corresponding scalar equations were obtained.The coupling effect between the two antennae was designed,and the control methods were discussed.Several numerical simulations show that the controller is successful.