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Geodesics on S3

  • Richard H. Cushman
  • Larry M. Bates
Chapter

Abstract

In this chapter we study the geodesic vector field on the tangent bundle of the 3-sphere. We examine its relation to the Kepler vector field, which governs the motion of two bodies in R 3 under gravitational attraction. We give two methods to regularize the flow of the Kepler vector field: one energy surface by energy surface and the other for all negative energies at once.

Keywords

Poisson Bracket Symplectic Form Integral Curve Orbit Space Hamiltonian Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of CalgaryCalgaryCanada
  2. 2.University of CalgaryCalgaryCanada

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