Tidally driven inclination instability in Keplerian disks

Details Tidally driven inclination instability in Keplerian disks Tidally driven inclination instability in Keplerian disks

Oct 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...398..525l&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 398, no. 2, p. 525-530.

Statistics

Computation

30

Accretion Disks, Celestial Mechanics, Computational Astrophysics, Kepler Laws, Planetary Rings, Eccentricity, Orbital Resonances (Celestial Mechanics), Perturbation Theory

Scientific paper

The tidal stability of fluid disks with respect to tilt motions is analyzed by means of a mode-coupling model. A two-step process is described for the instabilities, and two factors contribute to the tidal inclination instability of a fluid disk: nonaxisymmetric vertical and horizontal tidal forces. Horizontal tidal contributions can dominate over their vertical counterparts in some instances, whereas the effects of horizontal motions on the vertical growth rate are small for the resonances characteristic of planetary rings. The present analysis sheds light on the relative importance of vertical stability for binary accretion disks as opposed to planetary rings.

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