Astronomy and Astrophysics – Astronomy
Scientific paper
May 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008cemda.101..159c&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 101, Issue 1-2, pp. 159-170
Astronomy and Astrophysics
Astronomy
5
Periodic Attractors, Quasi-Periodic Attractors, Spin-Orbit Problem, Dissipative Systems, Attraction Bassins
Scientific paper
We consider a dissipative spin-orbit model where it is assumed that the orbit of the satellite is Keplerian, the obliquity is zero, and the dissipative effects depend linearly on the relative angular velocity. The measure of the basins of attraction associated to periodic and quasi-periodic attractors is numerically investigated. The results depend on the interaction among the physically relevant parameters, namely, the orbital eccentricity, the equatorial oblateness and the dissipative constant. In particular, it appears that, for astronomically relevant parameter values, for low eccentricities (as in the Moon’s case) about 96% of the initial data belong to the basin of attraction of the 1/1 spin-orbit resonance; for larger values of the eccentricities higher order spin-orbit resonances and quasi-periodic attractors become dominant providing a mechanism for explaining the observed state of Mercury into the 3/2 resonance.
Celletti Alessandra
Chierchia Luigi
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