The Ground Simulation for Space Interception under the Time-varied Spatio-temporal Transform Similarity

This paper describes a time-varied spatio-temporal transform (TVSTT) algorithm that provided the ground simulation for space interception with the high relative velocity. The space interception with 20Ma is very difficult to be simulated in the ground platform, as which the limited platform could hardly describe the high relative velocity and maneuver with large scale under the traditional similarity theory. The innovation point of TVSTT is the architecture of time-varied spatio-temporal transform and the relative non-inertial coordinate system based on the reference spacecraft, which could transform the trajectory of two spacecrafts into the constant distance and effectively utilize the ground platform with the minimum spatial scale factor. The transport motion of reference spacecraft would separate the high relative velocity into the relative static motion and the small movement, and the later movement is easy to simulate on the ground platform. The mathematical experiment demonstrated the validity and precision of the time-varied spatio-temporal transform method, which could support the physical experiment of space interception in future.