descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1997 English Publisher:Springer Basel

Authors: Larry Bates; Richard Cushman;

doi: 10.1007/978-3-0348-0918-4_2 , 10.1007/978-3-0348-8891-2_2

Geodesics on S 3

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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.

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