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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© 2015 Springer Basel
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Cushman, R.H., Bates, L.M. (2015). Geodesics on S 3 . In: Global Aspects of Classical Integrable Systems. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0918-4_2
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DOI: https://doi.org/10.1007/978-3-0348-0918-4_2
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0917-7
Online ISBN: 978-3-0348-0918-4
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