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The transformational behaviour of perturbation theories

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Abstract

The transformational behaviour of Hori's noncanonical perturbation theory (Hori 1971) as well as that of the theory of Krylov-Bogoliubof-Mitropolsky is studied. An integration procedure of the perturbation equations is based on the transformation properties that have been established.

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References

  • Hori, G.: 1966,Publ. Astr. Soc. Japan 18, 287.

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  • Hori, G.: 1967,Publ. Astr. Soc. Japan 19, 229.

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  • Hori, G.: 1971,Publ. Astr. Soc. Japan 23, 567.

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  • Bogoliubov, N. N. and Mitropolsky, Y. A.: 1965,Asymptotische Methoden in der Theorie der Nichtlinearen Schwingungen, Berlin.

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  1. Seminar für Angewandte Mathematik, ETH, Zürich, Switzerland

    Urs Kirchgraber

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  1. Urs Kirchgraber
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Kirchgraber, U. The transformational behaviour of perturbation theories. Celestial Mechanics 7, 474–494 (1973). https://doi.org/10.1007/BF01227512

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  • DOI: https://doi.org/10.1007/BF01227512

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