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A set of elements based on polar coordinates in the KS-space and its applications

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Abstract

A new set of canonical elements is introduced into the field of KS-theory. The close relationship of these elements with a set of elements proposed by Scheifele (1970) is analysed. Some applications are outlined.

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References

  • Kirchgraber, U.: 1971,Compt. Rend. Acad. Sci. Paris 272, 1119.

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  • Kirchgraber, U.: 1972, ‘An Analytical Perturbation Theory Based on Polar Coordinates in the Four-Dimensional KS-Space’, Thesis ETH.

  • Rüegger, H.: ‘Application of a New Set of Canonical Elements to the Three-Dimensional Restricted Three-Body Problem’, forthcoming thesis.

  • Scheifele, G.: 1970,Compt. Rend. Acad. Sci. Paris 271, 729.

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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. Seminar für Angewandte Mathematik der ETH, Zürich, Switzerland

    Urs Kirchgraber

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  1. Urs Kirchgraber
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Kirchgraber, U. A set of elements based on polar coordinates in the KS-space and its applications. Celestial Mechanics 8, 251–257 (1973). https://doi.org/10.1007/BF01231424

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  • DOI: https://doi.org/10.1007/BF01231424

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