Computer Science
Scientific paper
May 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984icar...58..137w&link_type=abstract
(IAU, COSPAR, NASA, et al., Colloquium on Natural Satellites, 77th, Cornell University, Ithaca, NY, July 5-9, 1983) Icarus (ISSN
Computer Science
120
Dynamic Stability, Hyperion, Orbital Mechanics, Planetary Rotation, Spin Dynamics, Tumbling Motion, Attitude Stability, Liapunov Functions, Libration, Phase-Space Integral, Resonance, Satellite Rotation, Stochastic Processes, Saturn, Satellites, Hyperion, Rotation, Spin, Orbits, Motion, Celestial Mechanics, Zones, Librations, Time Scale, Analysis, Trajectories, Tidal Effects, Evolution, Comparisons
Scientific paper
Under the assumption that the satellite is rotating about a principal axis that is normal to its orbit plane, a plot of spin rate-versus-orientation for Hyperion at the pericenter of its orbit has revealed a large, chaotic zone surrounding Hyperion's synchronous spin-orbit state. The chaotic zone is so large that it surrounds the 1/2 and 2 states, and libration in the 3/2 state is not possible. Rotation in the chaotic zone is also attitude-unstable. As tidal dissipation drives Hyperion's spin toward a nearly synchronous value, Hyperion necessarily enters the large chaotic zone, becoming attitude-unstable and tumbling. It is therefore predicted that Hyperion will be found to be tumbling chaotically.
Mignard François
Peale Stanton J.
Wisdom Jeffrey
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