Orbit Design for Approaching Multiple Spacecrafts Repeatedly

The orbit design for single spacecraft approaching multiple spacecrafts more than one time is discussed in the paper, based on the result of orbit design for single approaching multiple spacecrafts once. The technique of determining approaching domain, which is established from the two-body approaching orbit, and the approach extent evaluation, which can be used to orbit design of approaching multiple spacecrafts repeatedly, are presented in the paper. Based on three types of orbit adjustment, three operators with different computation complexity are constructed to generate the new approaching orbits, and the scale of their corresponding approaching domain and the distribution of the optimal approaching orbit are analyzed. The improved simulated annealing algorithm is employed in the paper to solve the optimal approaching orbit. At last, the simulation experiment demonstrates the validity of the orbit design algorithm.