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Invariant manifolds and orbit control in the solar sail three-body problem

Waters, Thomas J. and McInnes, Colin R. (2008) Invariant manifolds and orbit control in the solar sail three-body problem. Journal of Guidance, Control and Dynamics, 31 (3). pp. 554-562. ISSN 0731-5090

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    Abstract

    In this paper we consider issues regarding the control and orbit transfer of solar sails in the circular restricted Earth-Sun system. Fixed points for solar sails in this system have the linear dynamical properties of saddles crossed with centers; thus the fixed points are dynamically unstable and control is required. A natural mechanism of control presents itself: variations in the sail's orientation. We describe an optimal controller to control the sail onto fixed points and periodic orbits about fixed points. We find this controller to be very robust, and define sets of initial data using spherical coordinates to get a sense of the domain of controllability; we also perform a series of tests for control onto periodic orbits. We then present some mission strategies involving transfer form the Earth to fixed points and onto periodic orbits, and controlled heteroclinic transfers between fixed points on opposite sides of the Earth. Finally we present some novel methods to finding periodic orbits in circumstances where traditional methods break down, based on considerations of the Center Manifold theorem.

    Item type: Article
    ID code: 6375
    Keywords: orbit control, solar sails, solar systems, control systems, Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics, Applied Mathematics, Control and Systems Engineering, Electrical and Electronic Engineering, Space and Planetary Science, Aerospace Engineering
    Subjects: Technology > Mechanical engineering and machinery
    Technology > Motor vehicles. Aeronautics. Astronautics
    Department: Faculty of Engineering > Mechanical and Aerospace Engineering
    Related URLs:
      Depositing user: Strathprints Administrator
      Date Deposited: 09 Jun 2008
      Last modified: 28 Mar 2014 11:12
      URI: http://strathprints.strath.ac.uk/id/eprint/6375

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