, Volume 45, Issue 3, pp 331–340 | Cite as

The Kepler problem: a concealed vector

  • Maria Dina Vivarelli


By reconsidering anew our unitary S-description of the family of Kepler conic sections, we show how the plane sum vector S unravels at the core the existence of a constant vector N, which not only discloses in a natural way the cone structure in R 3 which defines the Kepler conic sections, but also enlightens the peculiar genesis of the map devised by Levi-Civita for the regularization of the Kepler problem at collision.


Kepler problem Conic sections Regularization General mechanics 


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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Dipartimento di Matematica F. BrioschiPolitecnico di MilanoMilanoItaly

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