Optimal low-thrust invariant manifold trajectories via attainable sets

Giorgio Mingotti, Francesco Topputo, Franco Bernelli-Zazzara

Research output: Contribution to journalArticlepeer-review

60 Citations (Scopus)


A method to incorporate low-thrust propulsion into the invariant manifolds technique is presented in this paper. The low-thrust propulsion is introduced by means of special attainable sets that are used in conjunction with
invariant manifolds to define a first-guess solution. This is later optimized in a more refined model where an optimal control formalism is used. Planar low-energy low-thrust transfers to the moon, as well as spatial low-thrust stable manifold transfers to halo orbits in the Earth–moon system, are presented. These solutions are not achievable via patched-conics methods or standard invariant manifolds techniques. The aim of the work is to demonstrate the usefulness of the proposed method in delivering efficient solutions, which are compared with known examples.
Original languageEnglish
Pages (from-to)1644-4655
JournalJournal of Guidance, Control and Dynamics
Issue number6
Publication statusPublished - Nov 2011


  • restricted 3-body problem
  • Earth-Moon trajectories
  • low-energy
  • periodic orbits
  • transit orbits
  • mission design
  • transfers
  • optimisation
  • capture
  • dynamics


Dive into the research topics of 'Optimal low-thrust invariant manifold trajectories via attainable sets'. Together they form a unique fingerprint.

Cite this