Exploration of distant retrograde orbits for communication and observation satellites

Distant retrograde orbit (DRO), serving for future astrophysical observatories and communications, has received much attention. Instead of high-order analytical approximate solutions, a new numerical method is implied for finding DRO, with a given Jacobi value. Then considering the force of Moon´s gravity, the offset of the perturbed DRO will have an impact on the accuracy of observatory and communication satellites. Hence, the initial Moon´s angle needs being considered in order to guarantee the observatory and communication accuracy.