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Motivated by the challenging transfer across the 1:1 resonance planned for the Dawn mission, this paper describes the dynamical structure of the near-synchronous orbits and their manifolds near asteroid 4 Vesta. The dynamics are studied in a surface-fixed rotating frame, where equilibrium points representing “geostationary” orbits and near-synchronous libration orbit families are characterized. The invariant manifold structure that arises from the unstable libration orbit families describes a pathway for designing ballistic transfers across the 1:1 resonance. Examples of such transfers across the 1:1 resonance at Vesta are provided.
Mondelo et al. (Mon,) studied this question.