ON LYAPUNOV FAMILIES AROUND COLLINEAR LIBRATION POINTS

Evolution details of the planar and vertical Lyapunov families around the three collinear libration points in the restricted three-body problem were studied. Researches before were generally restricted to be within the colliding orbits with the primaries and for fixed mass parameters μ. In this paper, members after colliding orbits were computed. With increasing μ, how these families evolve was studied.