Physics
Scientific paper
Sep 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..16...87b&link_type=abstract
Celestial Mechanics, vol. 16, Sept. 1977, p. 87-95.
Physics
1
Hyperion, Orbit Perturbation, Orbital Mechanics, Orbital Resonances (Celestial Mechanics), Resonance, Titan, Orbit Calculation, Orbital Elements, Saturn (Planet), Spin-Orbit Interactions
Scientific paper
The orbit-orbit interaction of two satellites of greatly unequal mass is studied under the condition that the more massive satellite moves in a circular (unperturbed) orbit that lies entirely inside the orbit of the smaller (perturbed) body. It is shown that this system is equivalent in every respect to a special case of spin-orbit coupling. On this basis, conditions for resonance are derived, as well as libration periods and bandwidths. Application is made to Saturn's resonant pair of satellites, Titan and Hyperion, which approximate the conditions of this problem. The calculated libration period of 646 days is in reasonably good agreement with the observed 640-day period.
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