Manifold-to-manifold transfers using low-thrust acceleration

Yuri Hachiya, Yuki Kayama, Mai Bando, Shinji Hokamoto

Research output: Contribution to journalConference articlepeer-review


This paper considers manifold-to-manifold transfers in the circular-restricted three-body problem enabled by low-thrust acceleration where an initial and target states lie on invariant manifolds associated to libration point orbits with different Jacobi constant. The basic idea is to utilize a family of stable and center manifolds that lie arbitrarily close to the target invariant manifold to reduce the cost of transfer. The linear quadratic regulator is used to design feedback control to transfer to the target manifold. Time invariant and time periodic controlleres are derived based on the linearized motion around the equilibrium point and periodic orbit respectively. The results show that the feedback controller can shape the linearized motion around manifold to be that around the equilibrium point or a periodic orbit. As a demonstration, transfer trajectories are designed to target the unstable manifold associated with an unstable Lyapunov orbit in the Earth-Moon system.

Original languageEnglish
Article numberIAC-19_C1_4_2_x50847
JournalProceedings of the International Astronautical Congress, IAC
Publication statusPublished - 2019
Event70th International Astronautical Congress, IAC 2019 - Washington, United States
Duration: Oct 21 2019Oct 25 2019

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Astronomy and Astrophysics
  • Space and Planetary Science


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