Vibration of a viscous liquid sphere

Abstract
Previously, a characteristic equation for the vibration of a viscous gravitational globe had been obtained by Chandrasekhar. The same equation has been found to apply for a viscous liquid drop under the restoring force of surface tension and is proved here to apply to all combinations of gravitational attraction surface tension and Coulomb repulsion with surface or volume charge distribution. Complex solutions to this Chandrasekhar equation corresponding to the periodic motion with damping which have not been found up to now but are called for in a large class of physical problems, are calculated. In addition, some solutions for higher aperiodic modes of decay are also evaluated.

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