TY - JOUR

T1 - Manifold-to-manifold transfers using low-thrust acceleration

AU - Hachiya, Yuri

AU - Kayama, Yuki

AU - Bando, Mai

AU - Hokamoto, Shinji

N1 - Funding Information:
The research of the second author is partly supported by the Ministry of Education, Culture, Sports, Science and Technology, Japan under Grant-in-Aid for Young Scientists (B), No. 25870513.
Publisher Copyright:
Copyright © 2019 by the International Astronautical Federation (IAF). All rights reserved.

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

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M3 - Conference article

AN - SCOPUS:85079167920

VL - 2019-October

JO - Proceedings of the International Astronautical Congress, IAC

JF - Proceedings of the International Astronautical Congress, IAC

SN - 0074-1795

M1 - IAC-19_C1_4_2_x50847

T2 - 70th International Astronautical Congress, IAC 2019

Y2 - 21 October 2019 through 25 October 2019

ER -