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Stability of the Synchronous Spin-Orbit Resonance by Construction of Librational Trapping Tori

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Interactions Between Physics and Dynamics of Solar System Bodies

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Abstract

We intend to study the stability of the 1:1 resonance by applying perturbation techniques. This paper is a short presentation of the method developed in (Celletti, 1993), to which we refer for a complete exposition.

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References

  • Arnold V.I.: 1963, ‘Proof of a Theorem by A.N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian’, Russ. Math. Surveys, 18, 9.

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  • Celletti A., Chierchia L.: 1987, ‘Rigorous estimates for a computer-assisted KAM theory’, J. Math. Phys., 28, 2078

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  • Kolmogorov A.N.: 1954, ‘On the conservation of conditionally periodic motions under small perturbation of the Hamiltonian’, Dokl. Akad. Nauk. SSR, 98, 469

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica Pura e Applicata, Universitá di L’Aquila, Via Vetoio, I-67010, Coppito, L’Aquila, Italy

    Alessandra Celletti

Authors
  1. Alessandra Celletti
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Editor information

Editors and Affiliations

  1. Observatoire de la Côte d’Azur, Grasse, France

    E. Bois

  2. Observatoire de la Côte d’Azur, Nice, France

    P. Oberti

  3. Départment de Mathématique, FNDP, Namur, Belgium

    J. Henrard

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© 1993 Springer Science+Business Media Dordrecht

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Celletti, A. (1993). Stability of the Synchronous Spin-Orbit Resonance by Construction of Librational Trapping Tori. In: Bois, E., Oberti, P., Henrard, J. (eds) Interactions Between Physics and Dynamics of Solar System Bodies. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1902-3_26

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  • DOI: https://doi.org/10.1007/978-94-011-1902-3_26

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4840-8

  • Online ISBN: 978-94-011-1902-3

  • eBook Packages: Springer Book Archive

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