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
DOIs
Publication statusPublished - 2016
EventAIAA/AAS Astrodynamics Specialist Conference, 2016 - Long Beach, United States
Duration: Sep 13 2016Sep 16 2016

Publication series

NameAIAA/AAS Astrodynamics Specialist Conference, 2016

Other

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

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Aerospace Engineering

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  • 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 (AIAA/AAS Astrodynamics Specialist Conference, 2016). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2016-5436