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A new derivation of the Kustaanheimo-Stiefel variables

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Abstract

First introducing the parabolic coordinates inR 3, we can derive the Kustaanheimo-Stiefel (KS) variables quite simply and naturally. Through this derivation it becomes clearer where and how the additional dimension is introduced and what the bilinear relation means.

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References

  • Scheifele, G.: 1970,Celes. Mech. 2, 296.

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  • Stiefel, E. and Scheifele, G.: 1971,Linear and Regular Celestial Mechanics, Springer.

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Authors and Affiliations

  1. Department of Astronomy, University of Tokyo, Tokyo 113, Japan

    Haruo Yoshida

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  1. Haruo Yoshida
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This paper is dedicated to the 60th Birthday of Prof. V. Szebehely.

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Yoshida, H. A new derivation of the Kustaanheimo-Stiefel variables. Celestial Mechanics 28, 239–242 (1982). https://doi.org/10.1007/BF01230677

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  • DOI: https://doi.org/10.1007/BF01230677

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