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    Realizing Keplerian orbits as geodesics on a surface of revolution

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    File(s)
    BarretteSpr07.pdf (365.9Kb)
    Date
    2007-05-01
    Author
    Barrette, Brandon
    Advisor(s)
    Smith, Alex
    Metadata
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    Abstract
    It is well known that in Newtonian physics, the gravitational trajectories in a central gravitational field are conic sections with one focus at the central mass. This is known as Kepler's First Law. We consider those gravitational trajectories that lie in a fixed plane P (perhaps thought of as an ecliptic plane), and investigate this question: to what extent can P be embedded as a surface of revolution S inside an abstract three-dimensional Euclidean space E in such a way that gravitational trajectories are mapped to geodesics on S, subset of E?
    Subject
    Kepler's laws
    Orbits
    Gravitation
    Posters
    Permanent Link
    http://digital.library.wisc.edu/1793/23192
    Description
    Color poster with text and graphs describing research conducted by Brandon Barrette advised by Alex Smith.
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    • Student Research Day

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