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The parameters space of the spin-orbit p...

Massetti, Jessica El...

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The parameters space of the spin-orbit problem I. Normally hyperbolic invariant circles by Massetti, Jessica Elisa ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	01-01-2015
Summary	In this paper we start a global study of the parameter space (dissipation, perturbation, frequency) of the dissipative spin-orbit problem in Celestial Mechanics with the aim of delimiting regions where the dynamics, or at least some of its important features, is determined. This is done via a study of the corresponding family of time $2\pi$-maps. In the same spirit as Chenciner in his 1895 article on bifurcations of elliptic fixed points, we are at first interested in delimiting regions where the normal hyperbolicity is sufficiently important to guarantee the persistence of an invariant attractive (resp. repulsive) circle under perturbation. As a tool, we use an analogue for diffeomorphisms in this family of R\"ussmann's translated curve theorem in analytic category.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1512.01486

Citation

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AMA 11th EditionReferences

Massetti, Jessica Elisa. The parameters space of the spin-orbit problem I. Normally hyperbolic invariant circles. N.A. January 01, 2015. Accessed August 06, 2025. https://online.provdatabase.com/cite/22688

APA 7th EditionReferences

Massetti, Jessica Elisa. (2015). The parameters space of the spin-orbit problem I. Normally hyperbolic invariant circles. N.A. https://online.provdatabase.com/cite/22688

Chicago 17th EditionReferences

Massetti, Jessica Elisa. The parameters space of the spin-orbit problem I. Normally hyperbolic invariant circles. N.A. 2015. https://online.provdatabase.com/cite/22688

HarvardReferences

Massetti, Jessica Elisa. (2015). The parameters space of the spin-orbit problem I. Normally hyperbolic invariant circles. [Online]. N.A. Available from: https://online.provdatabase.com/cite/22688. (Accessed 06 August 2025).

Harvard AustraliaReferences

Massetti, Jessica Elisa, 2015, The parameters space of the spin-orbit problem I. Normally hyperbolic invariant circles, N.A, viewed 06 August 2025, <https://online.provdatabase.com/cite/22688>

MLA 9th EditionWorks Cited

Massetti, Jessica Elisa. The parameters space of the spin-orbit problem I. Normally hyperbolic invariant circles. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/22688.

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