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


    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: Sept 13 2016Sept 16 2016

    Publication series

    NameAIAA/AAS Astrodynamics Specialist Conference, 2016


    OtherAIAA/AAS Astrodynamics Specialist Conference, 2016
    Country/TerritoryUnited States
    CityLong Beach

    All Science Journal Classification (ASJC) codes

    • Astronomy and Astrophysics
    • Aerospace Engineering


    Dive into the research topics of 'Nonlinear attractive sets under optimal feedback control in the hill three-body problem'. Together they form a unique fingerprint.

    Cite this