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The equivalence of von Zeipel mappings and Lie transforms

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Abstract

An order independent method is used to identify the transformation obtained from Von Zeipel's method with that obtained from Lie transforms. The correspondence between the generators is given in explicit form.

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References

  • Deprit, A.: 1969,Celestial Mechanics 1, 12.

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  • Mersman, W. A.: 1969, ‘A Unified Treatment of Lunar Theory and Artificial Satellite Theory’. NASA Technical Note, NASA TN D-5459.

  • Von Zeipel, H.: 1916,Arkiv Math. Astron. Fysik 11, No. 1, 1.

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Authors and Affiliations

  1. The Boeing Company, Seattle, Wash., USA

    Harold Shniad

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  1. Harold Shniad
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Shniad, H. The equivalence of von Zeipel mappings and Lie transforms. Celestial Mechanics 2, 114–120 (1970). https://doi.org/10.1007/BF01230455

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  • DOI: https://doi.org/10.1007/BF01230455

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