Geodesics on S3
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.
KeywordsPoisson Bracket Symplectic Form Integral Curve Orbit Space Hamiltonian Vector
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