Constrained differential correction in initial orbit determination with short arcs in optical space-based space surveillance

Based on the analysis on the characteristic of the data of the space-based optical surveillance, the concept of the Admissible Region and the idea of the triangulation were introduced to solve the problem of the initial orbit determination with short arcs. The constrained differential correction method was put forward based on the selected optimal triangulation nodes. Two short arcs were used to determine the initial orbit of the uncataloged target. Measurements information of the arc provide effective restriction on the object and the selected nodes provide the better initial condition, so the convergency and stability of iterative procedure can be enhanced. And the characteristics of the error and the convergency in Admissible Region were discussed according to the analysis on the simulation results.