Nonlinear attractive sets under optimal feedback control in the hill three-body problem

Mai Bando, Daniel J. Scheeres

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Trajectory design combining low-thrust and the three-body problem is a challenging area for study. This paper investigates the combination of optimal feedback control with the dynamical structure of the three-body problem. For the nonlinear system, the attractive set of an equilibrium point or a periodic orbit under optimal control is described by the Hamilton-Jacobi-Bellman partial differential equation. We obtain the solution to the Hamilton-Jacobi-Bellman equation by solving the truncation problem successively.

Original languageEnglish
Title of host publicationAIAA/AAS Astrodynamics Specialist Conference, 2016
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624104459
Publication statusPublished - 2016
EventAIAA/AAS Astrodynamics Specialist Conference, 2016 - Long Beach, United States
Duration: Sep 13 2016Sep 16 2016

Other

OtherAIAA/AAS Astrodynamics Specialist Conference, 2016
CountryUnited States
CityLong Beach
Period9/13/169/16/16

Fingerprint

three body problem
feedback control
Partial differential equations
Feedback control
Nonlinear systems
Orbits
Trajectories
low thrust
optimal control
nonlinear systems
partial differential equations
trajectories
orbits
approximation

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Aerospace Engineering

Cite this

Bando, M., & Scheeres, D. J. (2016). Nonlinear attractive sets under optimal feedback control in the hill three-body problem. In AIAA/AAS Astrodynamics Specialist Conference, 2016 American Institute of Aeronautics and Astronautics Inc, AIAA.

Nonlinear attractive sets under optimal feedback control in the hill three-body problem. / Bando, Mai; Scheeres, Daniel J.

AIAA/AAS Astrodynamics Specialist Conference, 2016. American Institute of Aeronautics and Astronautics Inc, AIAA, 2016.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Bando, M & Scheeres, DJ 2016, Nonlinear attractive sets under optimal feedback control in the hill three-body problem. in AIAA/AAS Astrodynamics Specialist Conference, 2016. American Institute of Aeronautics and Astronautics Inc, AIAA, AIAA/AAS Astrodynamics Specialist Conference, 2016, Long Beach, United States, 9/13/16.
Bando M, Scheeres DJ. Nonlinear attractive sets under optimal feedback control in the hill three-body problem. In AIAA/AAS Astrodynamics Specialist Conference, 2016. American Institute of Aeronautics and Astronautics Inc, AIAA. 2016
Bando, Mai ; Scheeres, Daniel J. / Nonlinear attractive sets under optimal feedback control in the hill three-body problem. AIAA/AAS Astrodynamics Specialist Conference, 2016. American Institute of Aeronautics and Astronautics Inc, AIAA, 2016.
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