TRAJECTORY DESIGN IN THE VICINITY OF 65803 DIDYMOS BASED ON THE CENTER MANIFOLD THEORY

This paper considers the dynamical environment of 65803 Didymos and applies the center manifold approximation method to compute quasi-periodic orbits. Its dynamical environment is known to be complex due to the unique shapes of the primaries and the nonexistence of symmetric properties which is useful to obtain Lyapunov or halo orbits. The center manifold method is successfully applied and extended in Didymos. This method is beneficial because it does not require the initial guess nor bifurcation process and has a lower computational cost. Multiple shooting is introduced into the center manifold method to calculate trajectories with the longer propagation time.