Breakdown of librational invariant surfaces.

Details Breakdown of librational invariant surfaces. Breakdown of librational invariant surfaces.

May 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999ijbc....9..975a&link_type=abstract

International Journa l of Bifurcation Chaos Appl. Sci. Eng., Vol. 9, No. 5, p. 975 - 982

Computer Science

Celestial Mechanics: Orbits, Celestial Mechanics: Resonances, Celestial Mechanics: Libration

Scientific paper

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 Newton's method. According to Greene's criterion (1979), their stability is strictly related to the survival of invariant tori. The authors consider librational tori around the main spin-orbit resonances (1:1, 3:2). Their existence provides the stability of the resonances, due to the confinement properties in the three-dimensional phase space associated to the model. The results are consistent with the actual observations of the eccentricity and of the oblateness parameter. A different behavior of the Moon and Mercury around the main resonances is evidenced, providing interesting suggestions about the different probabilities of capture in a resonance.

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