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Analytic estimates and topological properties of the weak stability boundary

Ceccaroni, Marta and Biggs, James and Biasco, Luca (2012) Analytic estimates and topological properties of the weak stability boundary. Celestial Mechanics and Dynamical Astronomy, 114 (1-2). pp. 1-24. ISSN 0923-2958

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    Abstract

    The weak stability boundary (WSB) is the transition region of the phase space where the change from gravitational escape to ballistic capture occurs. Studies on this complicated region of chaotic motion aim to investigate its unique, fuel saving properties to enlarge the frontiers of low energy transfers. This “fuzzy stability” region is characterized by highly sensitive motion, and any analysis of it has been carried out almost exclusively using numerical methods. On the contrary this paper presents, for the planar circular restricted 3 body problem (PCR3BP), 1) an analytic definition of the WSB which is coherent with the known algorithmic definitions; 2) a precise description of the topology of the WSB; 3) analytic estimates on the “stable region” (nearby the smaller primary) whose boundary is, by definition, the WSB.

    Item type: Article
    ID code: 39706
    Keywords: weak stability boundary, restricted three body problem, algorithmic definition, Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics, Aerospace Engineering, Geometry and Topology, Analysis, Space and Planetary Science
    Subjects: Technology > Mechanical engineering and machinery
    Technology > Motor vehicles. Aeronautics. Astronautics
    Department: Faculty of Engineering > Mechanical and Aerospace Engineering
    Technology and Innovation Centre > Advanced Engineering and Manufacturing
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    Depositing user: Pure Administrator
    Date Deposited: 15 May 2012 10:58
    Last modified: 27 Mar 2014 20:15
    URI: http://strathprints.strath.ac.uk/id/eprint/39706

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