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Resonance in regular variables I: Morphogenetic analysis of the orbits in the case of a first-order resonance

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Abstract

Morphogenetic analysis of the orbits of the ideal first-order resonance problem in the neighbourhood of the origin. It is shown that for problems involving central and near-central resonance it is necessary to consider as parameter the cube root of the perturbation instead of the square root used in classical non-central resonance problems.

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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 I: Morphogenetic analysis of the orbits in the case of a first-order resonance. Celestial Mechanics 35, 209–220 (1985). https://doi.org/10.1007/BF01227653

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  • DOI: https://doi.org/10.1007/BF01227653

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