Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980m%26p....22..141b&link_type=abstract
(Laboratorio di Astrofisica Spaziale di Frascati, European Workshop on Planetary Sciences, Rome, Italy, Apr. 23-27, 1979.) Moon
Astronomy and Astrophysics
Astronomy
4
Hyperion, Librational Motion, Orbital Mechanics, Resonance, Three Body Problem, Titan, Eccentricity, Locking, Numerical Integration, Planetary Orbits, Satellite Orbits, Saturn Satellites
Scientific paper
The 3/4 resonance locking between Titan and Hyperion is investigated by numerical integrations. Invariant curves are found, corresponding to low and high eccentricity resonance locking, and it is shown that the observed libration of Hyperion's pericenter about the conjunction lies inside the stable high eccentricity region. It is noted that the time scale of chaotic evolution is by many orders of magnitude smaller than the tidal dissipation time scale, so that the chaotic regions of the phase space cannot be crossed by a slow and 'smooth' evolution. The results agree with the hypothesis that Hyperion was formed via accumulation of the planetesimals originally inside a stable island of libration, while Titan was depleting by collisions or ejections in the zones where the bodies could not escape the chaotic behavior.
Bevilacqua Riccardo
Farinella Paolo
Menchi O.
Milani Andrea
Nobili Anna M.
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