• Corpus ID: 41449452

Geodesics on the Torus and other Surfaces of Revolution Clarified Using Undergraduate Physics Tricks with Bonus: Nonrelativistic and Relativistic Kepler Problems

  title={Geodesics on the Torus and other Surfaces of Revolution Clarified Using Undergraduate Physics Tricks with Bonus: Nonrelativistic and Relativistic Kepler Problems},
  author={Robert T. Jantzen},
  journal={arXiv: Differential Geometry},
  • R. Jantzen
  • Published 26 December 2012
  • Physics
  • arXiv: Differential Geometry
In considering the mathematical problem of describing the geodesics on a torus or any other surface of revolution, there is a tremendous advantage in conceptual understanding that derives from taking the point of view of a physicist by interpreting parametrized geodesics as the paths traced out in time by the motion of a point in the surface, identifying the parameter with the time. Considering energy levels in an effective potential for the reduced motion then proves to be an extremely useful… 
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  • http://www.rdrop.com/∼half/math/torus/torus.geodesics.pdf
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