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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
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.
Celletti A.: 1990, ‘Analysis of resonances in the spin—orbit problem in Celestial Mechanics: The synchronous resonance (Part I)’, J. of Appl. Math. and Phys. (ZAMP), 41, 174
Celletti A.: 1993,‘Construction of librational invariant tori in the spin—orbit problem’, J. of Appl. Math. and Phys. (ZAMP), accepted for publication.
Celletti A., Chierchia L.: 1987, ‘Rigorous estimates for a computer-assisted KAM theory’, J. Math. Phys., 28, 2078
Kolmogorov A.N.: 1954, ‘On the conservation of conditionally periodic motions under small perturbation of the Hamiltonian’, Dokl. Akad. Nauk. SSR, 98, 469
Moser J.: 1962, ‘On invariant curves of area-preserving mappings of an annulus’, Nach. Akad. Wiss. Göttingen, Math. Phys. KI. II, 1, 1
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
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
Download citation
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