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The Kepler problem: A unifying view

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Abstract

This paper is an attempt to bring unity in the study of the classical Kepler problem by combining, through simple vectorial and quaternionic techniques, its two peculiar aspects: the determination of the constants of the motion and the regularization at the origin.

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Research supported by the Consiglio Nazionale delle Ricerche of Italy (C.N.R.-G.N.F.M.).

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Vivarelli, M.D. The Kepler problem: A unifying view. Celestial Mech Dyn Astr 60, 291–305 (1994). https://doi.org/10.1007/BF00691898

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