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Resonance in regular variables II: Formal solutions for central and non-central first-order resonance

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Abstract

Application of the method of Hori to the study of motions in the neighbourhood of the origin in the case of a first-order resonance. Discussion of the Lie-series expansions about the origin and of Hori's averaging principles and auxiliary equation, with emphasis on the introduction of the auxiliary parameter t*.

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  1. Departamento de Astronomia, Universidade de São Paulo, 04301, São Paulo, SP, Brazil

    S. Ferraz-Mello

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  1. S. Ferraz-Mello
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Ferraz-Mello, S. Resonance in regular variables II: Formal solutions for central and non-central first-order resonance. Celestial Mechanics 35, 221–234 (1985). https://doi.org/10.1007/BF01227654

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  • DOI: https://doi.org/10.1007/BF01227654

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