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Solar sail dynamics in the three-body problem: homoclinic paths of points and orbits

Waters, Thomas J. and McInnes, Colin R. (2008) Solar sail dynamics in the three-body problem: homoclinic paths of points and orbits. International Journal of Non-Linear Mechanics, 43 (6). pp. 490-496. ISSN 0020-7462

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    Abstract

    In this paper we consider the orbital previous termdynamicsnext term of a previous termsolar sailnext term in the Earth-Sun circular restricted three-body problem. The equations of motion of the previous termsailnext term are given by a set of non-linear autonomous ordinary differential equations, which are non-conservative due to the non-central nature of the force on the previous termsail.next term We consider first the equilibria and linearisation of the system, then examine the non-linear system paying particular attention to its periodic solutions and invariant manifolds. Interestingly, we find there are equilibria admitting homoclinic paths where the stable and unstable invariant manifolds are identical. What is more, we find that periodic orbits about these equilibria also admit homoclinic paths; in fact the entire unstable invariant manifold winds off the periodic orbit, only to wind back onto it in the future. This unexpected result shows that periodic orbits may inherit the homoclinic nature of the point about which they are described.

    Item type: Article
    ID code: 5809
    Keywords: solar sail, homoclinic, periodic orbit, three-body problem, Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics, Aerospace Engineering, Control and Systems Engineering, Earth and Planetary Sciences (miscellaneous)
    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: 07 Apr 2008
      Last modified: 28 Mar 2014 11:09
      URI: http://strathprints.strath.ac.uk/id/eprint/5809

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