Application Abstract: To meet the demand of dynamic modeling,agile observing,and collaborative control for rigid-flexible heterogeneous two-satellite formation which is deployed for diffraction imaging,we researched a method for relative dynamic modeling and a coordinate control method with high accuracy in relative position and attitude based on dual quaternion for the system.Our research is innovated in describing relative position and attitude motion as well as robust adaptive terminal sliding control theory for the formation.Besides,we established a simulating system in order to verify efficiency of the dynamic modeling and control theory.The theory and method in our application can be used for the formation control of two-satellite diffraction imaging system and also as guidance for further space imaging deployment.