Exploring effect of measurement error on control precision for autonomous rendezvous

The introduction of the full paper reviews Refs. 1 through 11 and points out that there is an urgent need to explore but, to our knowledge, no paper in the open literature that explores the effect of measurement error on control precision. Sections 1 and 2 explain the results of our exploration. Their core consists of: a detailed study of the relationship between measurement error and control precision was performed via the reverse arithmetic in the area of autonomous rendezvous. The reverse arithmetic is based on the well-known theory of C-W rendezvous multi-impulse; the research on the effect of measurement error on control precision was carried out analytically based on the multi-impulse theory. And the reverse arithmetic was put forward to solve the problem of how much measurement error is allowable. The simulation results, given in Figs. 4, 5 and 6, and their analysis show preliminarily that the maximum permissible measurement error estimated by the reverse arithmetic is effective for the required control error.