A Simplified Path Searching and Correcting Method for the Calculation of Initial Value of Libration Periodic Orbit

In the restricted three-body problem, the path searching and correcting method is often used to calculate the approximate initial value of planar and three-dimensional periodic orbit. In this paper, in view of the Circular Restricted Three-Body Problem (CRTBP), a simplified mode of this method is applied to calculate the approximate initial value of several ordinary kinds of periodic orbit. The results show that the approximate initial value obtained by the simplified method is not unique, and the precise initial values derived from the unique values above using differential correction method often include both Halo and DRO (Distant Retrograde Orbit) orbits. Moreover, under certain boundary initial values, Halo orbit will disappear from the results and the planar Lyapunov orbit or Vertical orbit will appears. The relationship between these initial values using in this method and the certain kinds of orbit needs further study.