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Abstract: A numerical investigation of the stability of invariant librational tori is presented. The method has been developed for a model describing the spin--orbit coupling in Celestial Mechanics. Periodic orbits approaching the librational torus are computed by means of a Newton's method. According to Greene's criterium, their stability is strictly related to the survival of invariant tori. We consider librational tori around the main spin--orbit resonances (1:1, 3:2). Their existence provides... (Update)
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BibTeX entry: (Update)
@misc{ andreu-breakdown,
author = "Miquel Angel Andreu",
title = "Break--Down of Librational Invariant Surfaces",
url = "citeseer.ist.psu.edu/406285.html" }
Citations (may not include all citations):346 Introduction to numerical analysis (context) - Stoer, Bulirsch - 1980
32 On invariant curves of area-preserving mappings of an annulu.. (context) - Moser - 1962
23 Kolmogorov on the invariance of quasi-periodic motions under.. (context) - Arnold, Proof et al. - 1963
11 A constructive theory of Lagrangian tori and computer--assis.. (context) - Celletti, Chierchia - 1995
11 the conservation of conditionally periodic motions under sma.. (context) - Kolmogorov - 1954
9 Analysis of resonances in the spin-orbit problem in Celestia.. (context) - Celletti - 1990
7 Greene's residue criterion (context) - MacKay - 1992
6 Construction of librational invariant tori in the spin--orbi.. (context) - Celletti - 1993
5 An obstruction method for the destruction of invariant curve.. (context) - Olvera, Sim'o - 1987
5 Frequency analysis for multi--dimensional systems (context) - Laskar - 1993
4 the stability of realistic three--body problems - Celletti, Chierchia - 1997
3 A rigorous partial justification of Greene's criterion - Falcolini, de la - 1992
3 Construction of invariant tori for the spin--orbit problem i.. (context) - Celletti, Falcolini - 1995
2 the determination of the stochasticity threshold of invarian.. (context) - Celletti, Froeschl'e - 1995
2 Spin--orbit resonance and the adiabatic invariant (context) - Henrard - 1985
1 A method for determining a stochastic transition J (context) - Greene - 1979
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