Computing libration point isolated invariant sets using isolating blocks
Earlier work, by the authors, focused on the computation of isolating blocks around the libration points in the Circular Restricted Three-Body Problem (CRTBP), and their use for the computation of stable and unstable asymptotic sets of the isolated invariant set around the libration points have been used by the authors and for this study. The isolated invariant set, or the invariant three-sphere of solutions, is studied using the asymptotic approaches of the stable manifold to the periodic and quasi-periodic orbits contained within the invariant three-sphere. A new bisection method is used for trajectories' computation that follow the invariant three-sphere and these trajectories were studied here, in more details. The authors focus on the computation of the isolated invariant set of solutions around the L2 libration point in the Jupiter-Europa CRTBP using this new bisection method. This method eliminates two computationally difficult and costly steps for computing these types of orbits: high order expansions and differential correction, and significantly speed up and simplify the computation.
scientific article; zbMATH DE number 7477432
scientific article