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The Kepler problem primigenial sphere

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Abstract

The unitary \({\mathbf{S}}\)-code description of the one-body Kepler problem is shown to unfold naturally from a primigenial sphere (with centre at the attracting gravitational centre and radius related to the universal constant of gravitation). In this spherical scenery all the Kepler problem fundamental elements are recovered by simple linear vector combinations.

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Acknowledgments

Work supported by the Italian Ministry for University and Scientific, Technological Research MIUR.

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Authors and Affiliations

  1. Dipartimento di Matematica F. Brioschi, Politecnico di Milan, Piazza L. da Vinci 32, 20133, Milan, Italy

    Maria Dina Vivarelli

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  1. Maria Dina Vivarelli
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Correspondence to Maria Dina Vivarelli.

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Vivarelli, M.D. The Kepler problem primigenial sphere. Meccanica 50, 915–925 (2015). https://doi.org/10.1007/s11012-014-0074-z

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  • DOI: https://doi.org/10.1007/s11012-014-0074-z

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