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Birkhoff's normalization

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Abstract

Birkhoff's normalizing canonical transformation at an equilibrium of elliptic type with no internal resonance can be built explicitly and recursively, without partial inversions or substitutions, by means of Lie transforms.

Invariant sections and ordinary families of periodic orbits for truncated normalized systems are analyzed in detail.

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Authors and Affiliations

  1. Mathematics Research Laboratory, Boeing Scientific Research Laboratories, Seattle, Wash., USA

    André Deprit, Jacques Henrard, J. F. Price & Arnold Rom

Authors
  1. André Deprit
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  2. Jacques Henrard
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  3. J. F. Price
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  4. Arnold Rom
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Deprit, A., Henrard, J., Price, J.F. et al. Birkhoff's normalization. Celestial Mechanics 1, 222–251 (1969). https://doi.org/10.1007/BF01228842

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  • DOI: https://doi.org/10.1007/BF01228842

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