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Kustaanheimo-Stiefel Regularization and nonclassical canonical transformations

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Abstract

This paper presents a method for constructing a transformation of coordinates in phase space yielding canonical equations. The general transformation, which does not necessarily yield a canonical system, has an arbitrary function in its right-hand members. The cases when the transformed equations may be made canonical by appropriate choice of this function are established. The method is illustrated by means of the Kustaanheimo-Stiefel Regularization and applied to the circular restricted three body problem.

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References

  • Kustaanheimo, P. and Stiefel, E.: 1965,J. Reine Angew Math. 218, 204.

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

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  • Stiefel, E. and Scheifele, G.: 1971,Linear and Regular Celestial Mechanics, Berlin, Heidelberg, New York.

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Authors and Affiliations

  1. Mathematical-Mechanical Faculty, Leningrad University, Chair ‘Celestial Mechanics’, Leningrad, USSR

    I. V. Kurcheeva

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  1. I. V. Kurcheeva
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Kurcheeva, I.V. Kustaanheimo-Stiefel Regularization and nonclassical canonical transformations. Celestial Mechanics 15, 353–365 (1977). https://doi.org/10.1007/BF01228427

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  • DOI: https://doi.org/10.1007/BF01228427

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