Multi-spacecraft position-attitude coupling model based on dual quaternion

Abstract

With the development of space science and technology, the requirements of spacecraft are increasing, and it is significant to research the multi-spacecraft system model. Based on the dual quatemion theory, this paper deduces the coupling kinematics equation of multi-spacecraft, and points out the coupling effect of relative position and attitude. After that, the simulation analysis of 6 kinds of multi-spacecraft is carried out based on the established multi-spacecraft position and orbit integration model, in which the six cases are 5, 15, 25, 35, 45 and 55 satellites respectively. Finally, the correctness and practicability of the model are verified by comparing between Matlab and STK simulation results.