Transfers from earth to Earth-Moon L 3 halo orbits using accelerated manifolds

Kathryn Davis, Jeffrey Parker, Eric Butcher

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


This paper is concerned with two-impulse transfers from Earth to Earth-Moon L 3 halo orbits. After an orbit injection maneuver from an Earth orbit, a spacecraft travels on a ballistic accelerated manifold trajectory to a position intersection with a halo orbit where an orbit injection maneuver is executed. Although many types of transfers are located, our primary concern is transfers that require either a low transfer time of flight or a small orbit injection maneuver. Several families of transfers lie along the edge of a time of flight/injection maneuver Pareto Front. These families share similar characteristics and are shown to be an extension of a transfer that utilizes a stable invariant manifold. The quickest family of transfers to L 3 can be completed in 28.5-33 days with an injection maneuver of 61.75-130 m/s, with shorter duration transfers requiring a larger injection maneuver. The family of transfers with the smallest injection maneuvers given a duration limit of 140 days required 13.45 m/s.

Original languageEnglish (US)
Pages (from-to)1868-1877
Number of pages10
JournalAdvances in Space Research
Issue number7
StatePublished - 2015


  • Dynamical systems theory
  • Invariant manifolds
  • Libration point orbits
  • Orbit transfers
  • Three-Body trajectories

ASJC Scopus subject areas

  • Aerospace Engineering
  • Astronomy and Astrophysics
  • Geophysics
  • Atmospheric Science
  • Space and Planetary Science
  • Earth and Planetary Sciences(all)


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