The nonlinear similarity research of physical simulation for space interception

The physical simulation of space interception with two high-speed spacecrafts is often executed on an area-limited marble platform, which could not imitate the high relative speed between two spacecrafts under the accuracy requirement of positions and movements. This paper presents the nonlinear similarity theory which is described under the architecture of the nonlinear geometrical and time-variant transform. The time-variant and nonuniform spatial contraction methods are discussed and the factor function of the geometric transform is deduced preliminarily, which counteract the high relative velocity between of two objects on the platform. Thus the movenment realization of the two high-speed spacecrafts on the platform becomes easier, which reduces the perfomance of floating object. Furthermore the time-variant transform solved the problems of physical simulation in the accuracy of actuators and measurement in the limited platform. The results of mathematic simulation demonstrated the validity of the sufficient conditions of uniformity, which are the novel constraction theory of physical simulation of space interception.