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dc.contributor.advisorSmith, Alex
dc.contributor.authorBarrette, Brandon
dc.descriptionColor poster with text and graphs describing research conducted by Brandon Barrette advised by Alex Smith.en
dc.description.abstractIt 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?en
dc.description.sponsorshipUniversity of Wisconsin--Eau Claire Office of Research and Sponsored Programs.en
dc.format.extent374777 bytes
dc.relation.ispartofseriesUSGZE AS589en
dc.subjectKepler's lawsen
dc.titleRealizing Keplerian orbits as geodesics on a surface of revolutionen

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