Other
Scientific paper
May 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000dda....31.0502d&link_type=abstract
American Astronomical Society, DDA Meeting #31, #05.02; Bulletin of the American Astronomical Society, Vol. 32, p.861
Other
Scientific paper
Material ejected from Saturn's moon Hyperion is subject to powerful perturbations from nearby Titan, which control its ultimate fate. We have used the SWIFT symplectic integrator package of Duncan and Levison to simulate a simplified system consisting of Saturn (including J2 and J4), Titan, Hyperion, Iapetus, and the Sun (treated simply as a massive satellite). This model correctly reproduces the libration amplitude of the 4:3 resonance between Titan and Hyperion. In addition, 210 massless particles, more or less evenly distributed over latitude and longitude, were ejected radially outward from 1 km above the mean radius of Hyperion at 10% faster than its escape speed. Titan accreted most such particles within a few thousand years, but Hyperion reaccreted only a few percent over this interval. This may help to account for Hyperion's rugged shape. A few more escaped the Saturnian system to orbit the Sun, but about a quarter of them remain in orbit about Saturn after 10 000 years. After 100 000 years, however, another 10% have been ejected, and a comparably number have hit Titan. One particle hit Saturn over this time, while one more hit Hyperion, leaving only a few percent still in orbit around Saturn (two of these still in Hyperion-like orbits). In general, ejecta from Hyperion are more widely scattered than previously thought, and appear to cross the orbits of all the other satellites. Conversely, because Hyperion regularly makes relatively close approaches to Titan's Lagrange points L4 and L5 (and L3), Colombo, Franklin, and Shapiro (A.J. 79, 61-72, 1974) speculated that Titan cannot retain Trojan companions. However, our integrations also show that Titan (and Iapetus) can maintain a wide range of Trojan, tadpole, and horseshoe-type coorbitals, at least for 1 000 years. Hyperion can also coexist with coorbital companions, but only if they are also in 4:3 resonance with Titan. The long-term stability of all these coorbitals is still open to question.
Dobrovolskis Anthony R.
Lissauer Jack . J.
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