Physics
Scientific paper
Sep 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003jgre..108.5100c&link_type=abstract
Journal of Geophysical Research, Volume 108, Issue E9, pp. 4-1, CiteID 5100, DOI 10.1029/2003JE002100
Physics
12
Geodesy And Gravity: Rotational Variations, Planetary Sciences: Orbital And Rotational Dynamics
Scientific paper
Forced librations are periodic rotational rate variations due to gravitational interactions with an orbital partner. We have developed an analytic theory capable of calculating expected amplitudes of forced librations for nonresonant rotators as well as for bodies existing in a spin-orbit resonance. The theory has been applied to 34 solar system bodies, including terrestrial planets, planetary satellites, and the asteroid Eros. Parameters governing libration amplitude are the body's orbital eccentricity, moment difference, and the ratio of its spin rate to its orbital rate. In each case the largest libration amplitude is associated with the forcing frequency 2 (p - 1) n, where n is the orbital mean motion and p is the spin/orbit rate ratio. This dominant frequency is simply semidiurnal as seen from the position of the torquing body. The maximum libration angular amplitude is 1.3 × 10-2 radians for Thebe, and the maximum mean equatorial displacement is 1.4 km for Mimas.
Bills Bruce G.
Comstock Robert L.
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